text
stringlengths 8.19k
8.19k
| meta
dict |
|---|---|
re 7:12 AM?
1:27 AM
What is 160 minutes before 6:27 PM?
3:47 PM
How many minutes are there between 6:36 AM and 7:12 AM?
36
What is 141 minutes before 4:54 PM?
2:33 PM
How many minutes are there between 12:18 PM and 10:09 PM?
591
How many minutes are there between 11:26 AM and 4:30 PM?
304
How many minutes are there between 9:46 PM and 1:59 AM?
253
What is 520 minutes before 2:33 PM?
5:53 AM
What is 211 minutes before 10:41 AM?
7:10 AM
What is 171 minutes before 2:32 AM?
11:41 PM
How many minutes are there between 9:22 AM and 12:44 PM?
202
How many minutes are there between 9:53 PM and 3:03 AM?
310
What is 657 minutes after 12:56 AM?
11:53 AM
What is 277 minutes before 12:31 AM?
7:54 PM
How many minutes are there between 4:48 PM and 7:12 PM?
144
How many minutes are there between 3:32 PM and 12:39 AM?
547
What is 69 minutes after 10:53 AM?
12:02 PM
How many minutes are there between 6:55 PM and 5:20 AM?
625
How many minutes are there between 2:36 PM and 11:16 PM?
520
What is 643 minutes before 6:38 AM?
7:55 PM
What is 405 minutes after 4:56 PM?
11:41 PM
What is 82 minutes after 12:06 AM?
1:28 AM
What is 568 minutes before 12:44 PM?
3:16 AM
What is 313 minutes after 1:45 AM?
6:58 AM
What is 121 minutes before 12:10 AM?
10:09 PM
How many minutes are there between 7:55 PM and 10:16 PM?
141
How many minutes are there between 1:02 AM and 9:26 AM?
504
What is 677 minutes after 1:12 PM?
12:29 AM
How many minutes are there between 8:51 PM and 3:54 AM?
423
What is 49 minutes before 5:51 PM?
5:02 PM
How many minutes are there between 3:27 AM and 10:55 AM?
448
What is 292 minutes after 9:53 AM?
2:45 PM
How many minutes are there between 4:08 AM and 4:43 AM?
35
What is 295 minutes after 6:52 PM?
11:47 PM
What is 185 minutes after 3:09 AM?
6:14 AM
How many minutes are there between 8:11 AM and 6:31 PM?
620
What is 647 minutes after 4:30 PM?
3:17 AM
How many minutes are there between 9:15 PM and 1:58 AM?
283
What is 405 minutes after 7:42 PM?
2:27 AM
How many minutes are there between 7:47 AM and 8:50 AM?
63
How many minutes are there between 8:18 PM and 8:57 PM?
39
What is 91 minutes after 2:53 PM?
4:24 PM
How many minutes are there between 6:07 AM and 6:02 PM?
715
What is 249 minutes before 1:46 PM?
9:37 AM
How many minutes are there between 6:31 AM and 5:58 PM?
687
What is 41 minutes after 12:59 AM?
1:40 AM
What is 503 minutes after 9:32 AM?
5:55 PM
What is 468 minutes before 8:20 PM?
12:32 PM
What is 530 minutes after 6:44 AM?
3:34 PM
How many minutes are there between 8:10 PM and 3:57 AM?
467
How many minutes are there between 9:52 PM and 11:08 PM?
76
How many minutes are there between 1:34 PM and 12:05 AM?
631
What is 702 minutes after 9:36 PM?
9:18 AM
What is 681 minutes before 10:00 PM?
10:39 AM
How many minutes are there between 10:07 AM and 2:32 PM?
265
What is 457 minutes after 2:30 AM?
10:07 AM
How many minutes are there between 3:53 AM and 8:05 AM?
252
What is 69 minutes before 2:38 AM?
1:29 AM
What is 473 minutes before 11:44 AM?
3:51 AM
What is 528 minutes after 11:36 AM?
8:24 PM
What is 670 minutes before 9:08 PM?
9:58 AM
What is 341 minutes after 8:06 AM?
1:47 PM
How many minutes are there between 4:38 AM and 11:39 AM?
421
How many minutes are there between 10:09 PM and 9:18 AM?
669
What is 36 minutes after 5:15 AM?
5:51 AM
How many minutes are there between 8:43 PM and 11:30 PM?
167
How many minutes are there between 7:58 AM and 1:03 PM?
305
What is 553 minutes before 6:01 AM?
8:48 PM
What is 52 minutes before 2:26 PM?
1:34 PM
How many minutes are there between 11:24 AM and 9:48 PM?
624
How many minutes are there between 6:15 AM and 12:14 PM?
359
What is 611 minutes after 4:16 AM?
2:27 PM
How many minutes are there between 4:08 AM and 8:05 AM?
237
How many minutes are there between 3:47 PM and 6:23 PM?
156
What is 443 minutes before 2:35 AM?
7:12 PM
What is 120 minutes before 9:35 AM?
7:35 AM
How many minutes are there between 7:19 AM and 6:44 PM?
685
What is 644 minutes after 2:04 AM?
12:48 PM
What is 402 minutes after 5:28 AM?
12:10 PM
What is 25 minutes after 12:13 AM?
12:38 AM
How many minutes are there between 4:01 AM and 5:44 AM?
103
What is 251 minutes before 6:01 PM?
1:50 PM
How many minutes are there between 9:11 PM and 8:50 AM?
699
How many minutes are there between 7:40 AM and 6:44 PM?
664
How many minutes are there between 3:50 PM and 5:18 PM?
88
How many minutes are there between 9:11 AM and 1:37 PM?
266
How many minutes are there between 7:11 AM and 11:22 AM?
251
What is 302 minutes before 1:25 PM?
8:23 AM
What is 320 minutes before 1:07 PM?
7:47 AM
What is 508 minutes after 12:14 AM?
8:42 AM
What is 692 minutes after 4:58 AM?
4:30 PM
How many minutes are there between 9:36 AM and 6:34 PM?
538
How many minutes are there between 8:11 AM and 5:57 PM?
586
What is 643 minutes before 8:37 PM?
9:54 AM
What is 507 minutes before 5:42 PM?
9:15 AM
How many minutes are there between 11:08 AM and 1:11 PM?
123
What is 605 minutes after 12:58 AM?
11:03 AM
How many minutes are there between 7:56 PM and 7:55 AM?
719
How many minutes are there between 9:00 AM and 7:44 PM?
644
How many minutes are there between 11:37 AM and 6:25 PM?
408
What is 607 minutes before 6:53 AM?
8:46 PM
How many minutes are there between 7:14 PM and 12:18 AM?
304
What is 250 minutes before 10:32 PM?
6:22 PM
What is 144 minutes after 11:47 AM?
2:11 PM
How many minutes are there between 6:52 PM and 5:47 AM?
655
What is 559 minutes before 4:10 PM?
6:51 AM
How many minutes are there between 11:40 PM and 4:05 AM?
265
How many minutes are there between 10:46 AM and 10:32 PM?
706
How many minutes are there between 3:16 AM and 6:03 AM?
167
What is 688 minutes after 8:16 AM?
7:44 PM
How many minutes are there between 11:09 PM and 1:31 AM?
142
How many minutes are there between 2:13 AM and 12:43 PM?
630
How many minutes are there between 10:20 AM and 2:59 PM?
279
How many minutes are there between 12:09 PM and 10:50 PM?
641
What is 331 minutes before 7:22 PM?
1:51 PM
What is 325 minutes before 2:53 PM?
9:28 AM
What is 585 minutes after 8:45 AM?
6:30 PM
How many minutes are there between 4:50 PM and 12:09 AM?
439
How many minutes are there between 10:00 PM and 7:36 AM?
576
What is 462 minutes before 12:31 PM?
4:49 AM
How many minutes are there between 8:38 AM and 6:06 PM?
568
What is 588 minutes before 5:06 PM?
7:18 AM
How many minutes are there between 2:20 PM and 2:19 AM?
719
What is 703 minutes after 1:25 AM?
1:08 PM
How many minutes are there between 12:16 PM and 7:49 PM?
453
How many minutes are there between 8:51 AM and 5:58 PM?
547
How many minutes are there between 5:36 AM and 8:23 AM?
167
How many minutes are there between 7:30 PM and 1:46 AM?
376
How many minutes are there between 2:01 PM and 2:51 PM?
50
What is 92 minutes before 11:53 PM?
10:21 PM
How many minutes are there between 2:54 PM and 1:37 AM?
643
What is 501 minutes after 1:09 PM?
9:30 PM
How many minutes are there between 10:38 AM and 12:48 PM?
130
How many minutes are there between 9:04 AM and 10:04 AM?
60
How many minutes are there between 7:13 PM and 5:31 AM?
618
How many minutes are there between 5:16 AM and 12:25 PM?
429
What is 641 minutes before 1:58 PM?
3:17 AM
What is 6 minutes before 5:13 PM?
5:07 PM
What is 54 minutes after 9:46 PM?
10:40 PM
How many minutes are there between 11:03 PM and 12:58 AM?
115
What is 121 minutes before 5:18 PM?
3:17 PM
What is 123 minutes after 1:58 AM?
4:01 AM
How many minutes are there between 8:39 AM and 11:17 AM?
158
How many minutes are there between 8:53 AM and 6:49 PM?
596
How many minutes are there between 12:19 PM and 3:42 PM?
203
What is 197 minutes after 12:06 PM?
3:23 PM
What is 607 minutes after 5:01 PM?
3:08 AM
How many minutes are there between 2:38 AM and 6:53 AM?
255
How many minutes are there between 3:02 AM and 8:56 AM?
354
What is 705 minutes after 10:02 AM?
9:47 PM
How many minutes are there between 6:01 AM and 7:01 AM?
60
What is 693 minutes after 12:59 AM?
12:32 PM
What is 404 minutes after 11:46 AM?
6:30 PM
What is 578 minutes before 10:09 PM?
12:31 PM
What is 628 minutes before 12:48 AM?
2:20 PM
What is 474 minutes after 4:04 AM?
11:58 AM
How many minutes are there between 6:30 PM and 9:26 PM?
176
How many minutes are there between 4:05 PM
|
{
"pile_set_name": "DM Mathematics"
}
|
23*c - 32*c = -9. Solve s - 20 = 5*k, c = 2*s + 3*k - 0*k for s.
5
Suppose 7*i = 55 + 316. Suppose -i*d + 58*d - 20 = 0. Solve -d*k = 4*q, -q - q - 4*k = 0 for q.
0
Let q = -33088 + 33092. Solve 0 = 5*a, -347*n + 345*n + q = -2*a for n.
2
Let t(l) = 6*l + 33. Let z be t(-5). Suppose -z*g - 15 = 5*s, 0*g + s + 3 = -g. Solve g = 3*b - 9, -4 = 4*u + 2*b + 2 for u.
-3
Let z(o) = 2*o**3 - 2*o**2 - o + 9. Let a be z(6). Suppose a - 153 = 15*l. Solve -4*t = -2*i - l, 2*i + i + 3 = 0 for t.
3
Suppose -10*u + 93 + 40 = 43. Solve -4 = -u*m + 12*m - h, 4*m - 5*h - 13 = 0 for m.
-3
Let c = 3840 + -3832. Solve -3*f - c*r + 3*r - 29 = 0, 3*f - 5*r = 11 for f.
-3
Suppose -857*f + 1008*f = 0. Solve 2*d - 7 = -w, 3*d - 9*w + 14*w - 21 = f for d.
2
Let y be ((-2)/(-2) - 0)*0. Suppose 3*v - 4*k - 13 = 0, 82*k + 1 = 81*k. Solve v*l = 3*m - 4*m - 12, -4*m + 5*l + 37 = y for m.
3
Let k = 527 + -524. Let s = -9 + 13. Solve -v - k*d + 12 = -s*v, 5*v + 4*d = -2 for v.
-2
Let n(w) = -2*w - 140. Let l be n(-26). Let d = 108 + l. Solve d = -4*x - 3*t, 7 = 3*t + 19 for x.
-2
Let a = -10870 + 10895. Solve -5*y = -2*g + 13, 1 = -2*y + a*g - 20*g for y.
-3
Let g be (9/(-2) + 6)*40. Let i = g + -57. Solve -i*v - 8 = 2*j, -3*v + 0*j - j = 7 for v.
-2
Let u = 1571 + -1568. Solve -u*h + 0*h - 11 = -2*i, -3*i + 15 = -4*h for h.
-3
Suppose 0 = -328*q + 344*q - 64. Solve 2*z = -q, 0*n - 4*z = -2*n + 12 for n.
2
Let n(u) = 2*u**2 + 5*u - 13. Let p be n(4). Suppose 31 - p = -2*o. Solve 4*i - o - 12 = 0, -5*i + 26 = 2*g for g.
3
Suppose 208 = 14*p + 43*p + 37. Solve 36 = -5*z + 4*w, p*z + 1 = -w - 7 for z.
-4
Let w be 108/(-10)*80/(-24). Suppose 5*t = -t + w. Let g = -6 + t. Solve -q = 5*u + q - 13, u + 3*q = g for u.
3
Suppose 82*y - 96 = 314. Solve 23*n - 24*n = 0, -2*k - y*n + 2 = 0 for k.
1
Let w(o) = -o**3 - 14*o**2 - 10. Let m be w(-14). Let z be (-46)/m - (-24)/60. Let x be 3 - -1 - (-2 - -4). Solve 5*h + x*t = -4 - 1, -t = -z*h - 5 for h.
-1
Suppose -4*h + 86*r = 85*r - 15, 3*h = 3*r + 27. Solve h*b + 8*u - 9*u - 7 = 0, 4 = 2*b + 2*u for b.
3
Let q(c) = -2*c - 14. Let j be q(-15). Suppose 0 = j*a - 24*a + 160. Solve 0*v + 2*v - 12 = -5*y, -5*v - a = 0 for y.
4
Let q(z) be the second derivative of z**4/12 + 2*z**3/3 + z**2/2 + z. Suppose 23*j + 10 = 21*j. Let y be q(j). Solve 2*t + 3*w + y = -12, 4*t + 16 = -w for t.
-3
Let d be 12 + (-168)/(-63)*((-27)/(-2))/(-9). Solve 5*r = -4*m + 6, -23*m = -2*r - 22*m - d for r.
-2
Let g(x) = 3*x + 9. Let v be g(1). Suppose -v*q + 7 + 41 = 0. Solve -4*y + 11 = -p, -y + 4 = -q*p - 10 for p.
-3
Suppose 6*s - g + 16 = 11*s, 5*s = g + 4. Solve -19 = -5*y + f, 0 = s*y - 0*f - 4*f + 14 for y.
5
Suppose 0 = 3*s - 2*f - 0*f - 70, 2*s = -2*f + 40. Let r = s + -22. Solve r = -2*c - 4*u + 4, 2*c - 3 = -7*u + 2*u for c.
4
Suppose -3*w + 0*w = -6. Suppose -113*z + 7 = p - 111*z, -z = -5*p + 13. Solve w*i + 11 = y, -4*y + p = 5*i + 11 for y.
3
Suppose 0 = 3*s + 5*t - 5, 8 = 5*s + 5*t - 7. Let z = 79 + -37. Let h be z/105 + 16/10. Solve h*y + 11 + s = -3*g, -g + 3*y = -2 for g.
-4
Let v(s) = -s**3 + 85*s**2 - 86*s + 168. Let w be v(84). Solve 2*d = 0, -5*r + 5 = -w*d + 3*d for r.
1
Let t(u) = -2*u**2 + 3*u - 6. Let l be t(5). Let n be 6/(-72) - 4216/96. Let o = l - n. Solve -5*w + 27 = -3*b, -o*w + 3*b = w - 24 for w.
3
Suppose -53 = -4*j - 3*u, -2*j = -2*u - 14 - 16. Solve 2*f = h - 4, -j*h + 9*h = -4*f - 2 for f.
-3
Suppose 31*m - 216 = 28*m. Let x = 26 + m. Let g = 123 - x. Solve -4*a = 5*d + a + g, 0 = a + 5 for d.
0
Let s = 123 + -117. Solve -3*x + 2*w = s*w - 5, 0 = 3*w - 15 for x.
-5
Suppose -17*k - 27*k + 17*k = -162. Solve 6*d - 3*i + k = 9*d, d + 5*i = 18 for d.
-2
Let x be 4 + -1 + -4*(-2 - -1). Let w be 8/(-1)*x/(-140)*5. Solve u - 20 = 4*k + 3, w*u = -3*k - 9 for u.
3
Suppose 30 = 4*c + c. Suppose 3*r + 3*n + c = 0, 0 = -3*r + 4*n + 1 + 14. Solve -k + 18 - r = 5*z, z - 5*k - 19 = 0 for z.
4
Suppose 21*d - 187 = 674. Let a = -39 + d. Solve -a = -3*z + 1, s = 2*z + 1 for s.
3
Let b be (166 - 167)/(1/(-19)). Solve 11 = -3*t + v + b, -5*t - 5*v = -20 for t.
3
Let k(t) = -3*t**3 - 2*t**2 + t + 2. Let s be k(-1). Let v be -11*s*(-4)/8. Suppose 43 - 47 = -p. Solve -4*c + v - 3 = 0, 0 = p*g - 5*c + 10 for g.
0
Suppose -l + 6*s - 10*s = 1, 3*l - 15 = -3*s. Solve -a - l*n = -9*n + 2, -10 = -5*n for a.
2
Let t = -212 - -167. Let r(f) = f + 60. Let l be r(t). Solve -3*q + 5*a - l = 0, 3*a - 4*a + 5 = -q for q.
-5
Suppose -2 = 19*s - 17*s, -4*q + 7 = s. Solve -5*r + 5*n = -6*r - 22, -q*r + 4*n = -12 for r.
-2
Suppose 4*t = 4*x + 176, 37 = -3*t - 3*x + 127. Solve -t*s + 35*s = j, -4*j = 5*s + 3 for s.
1
Suppose -l + 31*v + 12 = 33*v, 0 = -4*l + 4*v + 48. Solve 5*d = 3*i - l, -d + 4*i = 3*i + 2 for d.
-3
Let r(w) = -3 + 5*w + 0*w + 32. Suppose 79*g + 290 = 21*g. Let l be r(g). Solve -4*k = -i + 12, l*i - 5*k = -i for i.
-4
Let k be (1/10)/((-25)/(-750)). Solve -5*x = -k*x + 4*a + 2, -3*a = 3*x + 9 for x.
-5
Suppose h = 6*h + 210. Let a(r) = -8*r - 13. Let l be a(-8). Let d = h + l. Solve 3*y + w = d, 1 = y + 3*w + 6 for y.
4
Let q(t) = 4*t**3 - t + 2*t - 13 - 23*t**2 + 6*t**2 - 3*t**3. Let k be q(17). Solve -14 = 3*h + 4*z, k*h + z + 4 = 7 for h.
2
Suppose -a = -4*a + 5*o - 2, 3*o = 12. Solve 4*u - 4*f = -a*f - 18, 19 = -4*u - f for u.
-5
Let l be 14*((-14)/16*-4 + -5). Let w be (24/l + 2)/(36/126). Solve -4*h - w*b + 17 = -10, -5*h + 30 = 3*b for h.
3
Let d(s) = 40*s - 39. Let a be d(1). Let t be -2*a*27/(-18). Solve 2*c = -2*c - 4*z + 12, 10 = 2*c + t*z for c.
-1
Let u(n) = -2*n**3 - 5*n**2 - 42*n - 130. Let r be u(-3). Solve -5*t - 31*g = -26*g + 10, 3*t - r*g - 26 = 0 for t.
2
Let c(p) be the second derivative of -15*p - 11/2*p**2 + 1/6*p**3 + 0. Let r be c(13). Solve -20 = r*l - 2*v, v = -l - 4*v + 20 for l.
-5
Suppose 0 = -17*s - 6*s + 483. Suppose -3*d = -3 - 39. Suppose -s*h = -91 - d. Solve 0 = -8*x + h*x - 5*m + 6, -3*x + 5*m + 6 = 0 for x.
2
Let x = 499 + -495. Solve 4 = 2*k - l, 8*k = 4*k - x*l + 8 for k.
2
Let r = 1910 + -1893. Solve -5*o - 4*z + 21 = 0, -5*o + r = -0*o + 3*z for o.
1
Let f(o) = o**2 - 69*o - 446. Let i be f(75). Solve -2*t = -t + i*q + 16, 3*t + 3*q + 12 = 0 for t.
0
Suppose 0 = -2*y + 12*y + 630. Let n = y - -54. Let u(j) = 2*j + 23. Let q be u(n). Solve 0 = 2*r + f + 10, -5*f = -q*r - 4*f - 18 for r.
-4
Let k = -226 - -448. Suppose 3*g + 0*i = -i + k, -4*g = -4*i - 280. Let c = g + -67. Solve 5*u = 4*m, -2*m + 4*u = -c*m - 36 for m.
-5
Let j be (1/(-2))/((-5)/(-20))*-6. Suppose -j*k + 170 = -14*k. Let r = k + 91. Solve 6*a + 20 = 2*t + 2*a, -3*a - r = 3*t for t.
2
Suppose 2754*g - 7866 = 2735*g. Solve a + 3*q = -1, 2*q - g + 416 = -2*a for a.
-1
Let q be ((6/9)/(26/(-117)))/1. Let k be 1/(q + 30/9). Solve 2*r = 0, u - 4*r - k = 4*u for u.
-1
Suppose -3*m + 0 = 3, a + m = 1. Let s be (0 + -10)/(-1*a). Suppose -4*u = -4*v + 80, 20*u = -2*v + 19*u + 25. Solve p + z + 3 = 0, s*z - 4*z = 5*p + v for p.
-3
Let m(q) = 2*q**2 + 4*q - 1. Let g be m(-3). Let n(z) = 3*z**2 - 23*z + 54. Let y be n(4). Solve -4*o + 22 = g*d, 5*d + y = -5*o + 35 for o.
3
Let y(c) = 2*c + 22. Suppose -3*w + 12 = -2*w. Let r be 66/(-8) + -1 + 3/w. Let v be y(r). Solve 5*m + p + 0*p + 9 = 0, -5*m - v*p - 21 = 0 for m.
-1
Let n be ((-16)/(-10))/((-92)/(-115)). Solve -f = -l, -l + n*f + 13 = 16 for l.
3
Suppose -5*u + 14 - 4 = 0. Let a(i) = -2*i - 9. Let l be a(-12). Suppose -6*o + 3*o + 15 = 2*g, -o + l = 4*g. Solve 2*k + h + u = k, -o*h - 8 = k for k.
1
Suppose 46*i - 53*i = -28. Let g be (2/i)/(2*(-2)/(-32)). Solve 4*u + g = d - 5*d, 2*d + u = 0 for d.
1
Suppose n - 32 = -5*x, -4*x - 4*n = -74 + 10. Suppose -3*o = -13 - 35. Solve 5*c - s - 21 = c, -o = -4*c - x*s for c.
5
Let p be 10/140*-2 + (-1286)/14. Let o = -80 - p. Solve -4*s = 5*r + o, 6 = -4*r - 3*s + s for r.
0
Suppose 5*u - 43 = 27. Let l = -12 + u. Suppose 5*a + 5*g - 35 = 0, a - 2*g - l = -1. Solve f = -2*h + 9, a*h = 3*f - f for f.
5
Let v = -18 + 20. Suppose 8 = 5*h - v. Suppose 0*f - 2*d = -f + 6, -2*f - h*d - 6 = 0. Solve -3*n - 5*q + 10 = 0, 4*q + f*q = 5*n + 45 for n.
-5
Let w(t) = -467*t + 2350. Let x be w(5). Solve 4*i + x = -4*m - i, -5*m + i + 3 = 0 for m.
0
Let g(n) = 282*n + 1694. Let l be g(-6). Solve o - 25 = 5*w, -l*o = 7*w - 11*w - 20 for w.
-5
Let w be ((-33)/(-55))/(2/10
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify g*g**(1/15)*(g*g/(g*(g*(((g*g/(((g/(((g*g**5)/g)/g))/g)/g))/g)/g)/g)/g))/g assuming g is positive.
g**(-44/15)
Simplify (p**7*p/p**9)/(p**(1/2)/p**(3/10)) assuming p is positive.
p**(-6/5)
Simplify (u**(-3/7)*u/(u*(u/(u**(2/5)/u))/u*u*u))/(u*u**(-4)*u*u*u*u**7) assuming u is positive.
u**(-351/35)
Simplify g/g**(-22)*g**(-3/4) assuming g is positive.
g**(89/4)
Simplify (v**0/v*v/v**3)**(-8/13) assuming v is positive.
v**(24/13)
Simplify (o**1)**(-3)*o**(-2/17)/(o*o**(7/4)) assuming o is positive.
o**(-399/68)
Simplify ((z/(z/(z/(z/(z*z/(z*z/(z/z**(-3/8)))*z)))))/(z/z**(-5)))**10 assuming z is positive.
z**(-145/4)
Simplify ((c**0/c)/c*(c/c**(-2)*c)/c)/(c**(1/5))**(1/40) assuming c is positive.
c**(199/200)
Simplify ((h*((h/((h/(h*h**(-3)))/h*h*h))/h)/h*h)/h)**31/((h*(h/h**(4/7)*h)/h*h)/h*h**(-2)) assuming h is positive.
h**(-864/7)
Simplify ((k**(-4)*k)/k)**(10/3) assuming k is positive.
k**(-40/3)
Simplify (k/((k/(k*(k*(k**(-28)*k)/k)/k)*k*k)/k))/((k/((k/((k/k**5)/k))/k))/k) assuming k is positive.
k**(-23)
Simplify p**(5/2)*p*p*p**(2/3)*(p**(-1)/p*p)**(5/9) assuming p is positive.
p**(83/18)
Simplify (b/b**4*b*b*(b*b**(3/8))/b*b)/(b**(-1/2)/b)**(5/7) assuming b is positive.
b**(81/56)
Simplify (g**(-2/3)*g**(2/5)*g)/(g**(-4)/(((g*g*g/(g/(g/(g*g**(-2/11)))))/g)/g*g)) assuming g is positive.
g**(976/165)
Simplify a*a/(a*a/a**6)*a**18 assuming a is positive.
a**24
Simplify (w/(w*w**(-3/7))*w**(1/3))/((((w*w**(-1/6)/w)/w)/w*w)/w**0) assuming w is positive.
w**(27/14)
Simplify (q*(((q/(q*(q**2/q)/q))/q*q)/q)/q)/(q*q**(-30)*q) assuming q is positive.
q**27
Simplify (g*g*g*g**(-1)/g)/(g**(-1/17)*g) assuming g is positive.
g**(1/17)
Simplify p*p*p*(p/(p*p**(-5))*p*p)/p*p**(3/2)*p*p*p*p/p**2*p*p/(((p/(p/(p/((p/(p*p**2)*p*p)/p)*p)))/p)/p) assuming p is positive.
p**(27/2)
Simplify (l**(-1/11)/l*l)**(-14) assuming l is positive.
l**(14/11)
Simplify (h/(h/h**4))/(h**(-7)*h)*((h*(h**(2/7)*h*h)/h)/h)**(-6) assuming h is positive.
h**(16/7)
Simplify (r**1*r*r**(-2)/r)**(-8/7) assuming r is positive.
r**(8/7)
Simplify (m*m/(m*m*m**(1/16)))/((m/(m*m*m*m/(m/(m/(m/(m**(-46)/m))))*m*m*m))/m) assuming m is positive.
m**(-657/16)
Simplify ((i*i**2/i)/i**(2/3))**(2/115) assuming i is positive.
i**(8/345)
Simplify (p*(p*p*((p/p**5)/p)/p)/p*p*p*p/((p*p/(p**(-2/7)/p*p))/p))/(p*p**(2/3))**(-1/45) assuming p is positive.
p**(-425/189)
Simplify o**(-4)/(o/(o*o**(2/5)))*((o/o**(-1/4))/o)/(o*o*o/(o*o*o/o**4)) assuming o is positive.
o**(-147/20)
Simplify (p**(-8)/p*p)/(p**(-7)*p)*p**2/p**(-2/15) assuming p is positive.
p**(2/15)
Simplify x**27*x*x**(12/7)/x assuming x is positive.
x**(201/7)
Simplify (t/(t**9*t)*t)**(-42) assuming t is positive.
t**336
Simplify ((k*k/k**(2/9))**(-2/83))**(8/17) assuming k is positive.
k**(-256/12699)
Simplify (j**(1/6)*j**(-1))/(j*j**1)**(34/7) assuming j is positive.
j**(-443/42)
Simplify (q**2)**(-34) assuming q is positive.
q**(-68)
Simplify (n**(2/15))**(-2/5) assuming n is positive.
n**(-4/75)
Simplify q**(2/17)/q**2*q**(-2/7)*q**2 assuming q is positive.
q**(-20/119)
Simplify (r/(((r/r**(-1/3))/r)/r)*r*r)**48/((r**(-7)*r)/r*(r/r**(4/7))/r) assuming r is positive.
r**(1285/7)
Simplify z*z**(-13)/z*z*z/((z**(-3/8)*z*z*z)/z*z*z) assuming z is positive.
z**(-117/8)
Simplify (i*i*(i**(-41)*i*i*i)/i*i)/i*i/i**48 assuming i is positive.
i**(-84)
Simplify (((s/s**(-3)*s)/s)/s)**(2/85) assuming s is positive.
s**(6/85)
Simplify (u/(u*u**(-16)*u))/(u*u**(-26)) assuming u is positive.
u**40
Simplify (c**(-3))**(-6/5) assuming c is positive.
c**(18/5)
Simplify (v/(v/(v*(v/v**8*v)/v*v)))/v**(-7)*v/(v/v**(-1/5))*v/(v/v**(-2)) assuming v is positive.
v**(-1/5)
Simplify (l**(16/7)/l*l)/l*l**17/l assuming l is positive.
l**(121/7)
Simplify (t**(2/11)*t)/(t**(-1/3)/t)*t**(-3)*t**(-7) assuming t is positive.
t**(-247/33)
Simplify (l/(l*l**(3/7)*l))/(l/(l**7*l*l))*l**0*l**(-2/3) assuming l is positive.
l**(124/21)
Simplify r**(-2/99)*r/(r/(r/((r/(r**(-2/55)*r))/r))) assuming r is positive.
r**(962/495)
Simplify (m**(-12)/m)/m**(-2/41) assuming m is positive.
m**(-531/41)
Simplify (s**(-1/2))**(4/5)/(s*s**(-2/15)*s*s**3) assuming s is positive.
s**(-79/15)
Simplify (s*s**(-10)*s**(-1))**(1/5) assuming s is positive.
s**(-2)
Simplify b**(3/7)/(b/b**(-4/7)) assuming b is positive.
b**(-8/7)
Simplify (((a/a**(2/45))/a*a)/a)/a**(-33) assuming a is positive.
a**(1483/45)
Simplify (s**(-1/4))**48/((s*s**(-6))/s*s**(-2/25)/s*s) assuming s is positive.
s**(-148/25)
Simplify r**(6/7)*r/(r**(-2/3)/r)*(r*r**0*r)**5 assuming r is positive.
r**(284/21)
Simplify (o*o**(-2/51)*o)/o**(-3/7) assuming o is positive.
o**(853/357)
Simplify (y**13/y*y)**(-2/37) assuming y is positive.
y**(-26/37)
Simplify ((q*q**8)/(q*(q/q**(-10)*q)/q))/(q/q**(-1))**(-2/9) assuming q is positive.
q**(-23/9)
Simplify ((v/(v*v*v/(v*(v/v**(1/5))/v*v)))/(v**(-4)/v))/((v**6/v)/(((((v*v*(v*v/(v/(v**(3/2)/v*v)))/v)/v)/v)/v)/v)) assuming v is positive.
v**(-7/10)
Simplify ((h/h**(-1)*h)**(-22))**(-42) assuming h is positive.
h**2772
Simplify (y/(y**(-3)/y))/y**3*(y/(y/(y/(y**(-1/3)*y)))*y)**(8/9) assuming y is positive.
y**(86/27)
Simplify (d/d**5*d/d**(1/5))/(d/d**6*d**(1/3)) assuming d is positive.
d**(22/15)
Simplify (i/i**(-11/7)*i)/(i/(i**(-14)*i)) assuming i is positive.
i**(-73/7)
Simplify (c/(c**(-1/8)*c))**(2/19) assuming c is positive.
c**(1/76)
Simplify (a**(4/5)/a)**4 assuming a is positive.
a**(-4/5)
Simplify h*h**(-14/5)*h/((h/(h**(2/15)/h))/h*h) assuming h is positive.
h**(-8/3)
Simplify (k/k**(8/7))/k*k*k**(1/12) assuming k is positive.
k**(-5/84)
Simplify (d**(-1/2)*d/d**(2/3))/(d**(-2/13)/d*d/(d*d**(-1/3))) assuming d is positive.
d**(17/26)
Simplify c**(-36/5)*c*c/((c*c*c**20*c*c)/c) assuming c is positive.
c**(-141/5)
Simplify (j**(-1))**8/(j**(-1)*j)**(2/39) assuming j is positive.
j**(-8)
Simplify (t*t/(t**(-22)*t))/t**0 assuming t is positive.
t**23
Simplify t*t/t**(-2/45)*t*(t/(t/(t/(t/(t*t/(t*t/t**19))))))/t assuming t is positive.
t**(947/45)
Simplify (u**(-2/3)*u**6)**(6/11) assuming u is positive.
u**(32/11)
Simplify (m*m/m**(12/11))/(m*m/m**32) assuming m is positive.
m**(340/11)
Simplify p*((p*(p/p**(-25))/p)/p)/p*p*p*p**(-11/3) assuming p is positive.
p**(70/3)
Simplify d**3/(d**(-1/2)/d)*d**(-2/5)/d**(2/11) assuming d is positive.
d**(431/110)
Simplify (((h*h**(-1/3)*h)/h)/h)**(-5/2)*(h*h**(2/9))/(h**(-8)*h) assuming h is positive.
h**(163/18)
Simplify ((z/(z*(z/(z/((z/z**(-3/5))/z))*z*z)/z))/z*z*(z/(z*z/z**(-1))*z)/z)**(-3/5) assuming z is positive.
z**(54/25)
Simplify (a**(-5/3))**(7/4) assuming a is positive.
a**(-35/12)
Simplify j**(-3/2)/j**5*j**(-1)/j*j*j*j**1 assuming j is positive.
j**(-11/2)
Simplify ((a**(-1/6)*a)/a)**(-22)/(a**(-5)*a*a**(2/7)*a) assuming a is positive.
a**(134/21)
Simplify ((k*k/(k**0/k*k))/k)**(-3) assuming k is positive.
k**(-3)
Simplify ((w**(-2/9)/w)/w)**(-20) assuming w is positive.
w**(400/9)
Simplify (k*k**(-5))**11 assuming k is positive.
k**(-44)
Simplify (s**(-5)*s)**(2/81) assuming s is positive.
s**(-8/81)
Simplify ((((h**7*h)/h)/h)/h)**(-23) assuming h is positive.
h**(-115)
Simplify (k*k**(3/5)/k)/k**10 assuming k is positive.
k**(-47/5)
Simplify p**(3/10)*p*p*(p/(p/(p/(p**(2/31)/p)*p*p)))/p assuming p is positive.
p**(1623/310)
Simplify (s**(-1/2)/((s*(s/s**(19/2))/s*s*s*s)/s*s))**(-1/37) assuming s is positive.
s**(-5/37)
Simplify ((p*(((p**9*p)/p)/p)/p*p)/p**(1/5))/((p*p**(2/5))/(p/(p*p**7))) assuming p is positive.
p**(2/5)
Simplify i**(-1/41)/(i/i**27) assuming i is positive.
i**(1065/41)
Simplify (((v/(v*v*v**(-1)))/v)**23)**(-2/67) assuming v is positive.
v**(46/67)
Simplify m**(-7)/(m/m**8)*m**0/m**(4/7) assuming m is positive.
m**(-4/7)
Simplify (w**(-7)/w**(1/2))**(-34) assuming w is positive.
w**255
Simplify (c/c**(-4))**(-7/2) assuming c is positive.
c**(-35/2)
Simplify (g/(g**(3/5)*g*g)*g*g*g/(g/(g*g*g/(g*(g/(g/g**(-2/11)))/g*g)*g)*g))**(-2/21) assuming g is positive.
g**(-284/1155)
Simplify (p**(2/3))**(-1/2)*p**(-2/9)*p*p**(-1/8) assuming p is positive.
p**(23/72)
Simplify (r*r/(r**(-1/4)*r)*r/(r/(r/(r*r*r**5))))**28 assuming r is positive.
r**(-133)
Simplify (w**(2/23)*w*w**(1/5))**(5/7) assuming w is positive.
w**(148/161)
Simplify (u**(-7)*u)/(u**(-3/5)*u) assuming u is positive.
u**(-32/5)
Si
|
{
"pile_set_name": "DM Mathematics"
}
|
-2750287
Find the third derivative of 4*z**6 - z**5 - 24729*z**4 + 548*z**2 + 96.
480*z**3 - 60*z**2 - 593496*z
Find the second derivative of 88395*b**3*f**2 - 76409*b**3 + b*f**5 + 2*b*f wrt f.
176790*b**3 + 20*b*f**3
Find the second derivative of -48*d**2*n - 563*d**2 + d*n + 5*d + 9*n - 54 wrt d.
-96*n - 1126
Find the first derivative of -147109*r + 224935.
-147109
Differentiate -16*d**2*n + 2*d*g*n**2 - 38*d*g + g*n**2 + g + 7633 with respect to d.
-32*d*n + 2*g*n**2 - 38*g
What is the second derivative of -369209*w**5 - 72882*w?
-7384180*w**3
Differentiate 2*i**2 + 2398*i*q + 98463*q wrt i.
4*i + 2398*q
Differentiate -4*p**3*v + 643*p**3*x - 5160*p**2*v*x - 4*p**2*x wrt v.
-4*p**3 - 5160*p**2*x
What is the derivative of -29*p**4*r**2 - 1589*p**4*r + 3*r**2 - 188*r + 1 wrt p?
-116*p**3*r**2 - 6356*p**3*r
What is the third derivative of 3332*i**5 - 3*i**2 + 1871?
199920*i**2
Find the third derivative of -281122*y**6 + 69*y**2 + y - 99 wrt y.
-33734640*y**3
Find the first derivative of -179998*u - 205348 wrt u.
-179998
What is the second derivative of 1209741*g**3 - 4*g - 152830 wrt g?
7258446*g
What is the second derivative of 8701*j**2*m*z + 15*j**2*z**2 - 2*j*m*z**2 - 21337*j*z**2 + 2*m*z**2 - 2*z wrt j?
17402*m*z + 30*z**2
Find the second derivative of -8357*k**2*l**2 - 13*k**2*l + 4*k**2 - 54*k*l**2 + 3500*k*l + k wrt k.
-16714*l**2 - 26*l + 8
Differentiate 457616*y + 772341 with respect to y.
457616
Differentiate 1020739*k**3*u + 221902*k**3 + 3*k**2 wrt u.
1020739*k**3
Find the first derivative of -58*c*p**2 + 32*c*p - 3*c + p**2 + 5*p + 93 wrt c.
-58*p**2 + 32*p - 3
Find the third derivative of 24*d**3*s**3 + 803*d**3*s + d**2*s**2 + 4155*d*s**6 + 2*d - 195*s**2 wrt s.
144*d**3 + 498600*d*s**3
What is the first derivative of 62126*s + 42799?
62126
Find the first derivative of 995918*q + 157286 wrt q.
995918
What is the second derivative of -3*d**3 + 106310*d**2*y**3 - 673189*d*y**3 wrt d?
-18*d + 212620*y**3
Find the third derivative of 13*c**5*n**3 + 77*c**5*n - 100*c**2*n**2 + 32*c*n**3 - 2*c - 2*n**3 wrt c.
780*c**2*n**3 + 4620*c**2*n
What is the derivative of -3*j**2 - 68596*j + 160757 wrt j?
-6*j - 68596
What is the second derivative of -44*a*x**2 + 3*a*x + 216*x**2 + 2*x - 751 wrt x?
-88*a + 432
What is the third derivative of -b**5 + 173561*b**3 - 27552*b**2?
-60*b**2 + 1041366
Find the second derivative of -1986902*p**3 + 636639*p wrt p.
-11921412*p
Find the second derivative of -46804*j**3 + 2*j + 4482.
-280824*j
What is the third derivative of 3229*q**3 + 5*q**2 + 2*q + 179 wrt q?
19374
What is the second derivative of 41*a**3*u**3 + 159*a**3*u - 187*a*u**3 - 80*a*u**2 wrt a?
246*a*u**3 + 954*a*u
Find the first derivative of 243677*m + 195332.
243677
What is the third derivative of 2571418*a*d**3 - 4*a*d**2 + 124780*a - 2*d**2 wrt d?
15428508*a
Find the third derivative of 108*j**4 - 1260*j**3 + j**2 - 150585*j wrt j.
2592*j - 7560
What is the second derivative of 998*q**3*t**2 + 29077*q**3*t - 42*q**2*t**2 + 11*q**2 - 15*q*t**2 - 2*q - 2*t**2 - 2*t wrt t?
1996*q**3 - 84*q**2 - 30*q - 4
What is the second derivative of 9*i**5 + 10690*i**3*q**2 - 10*i*q**2 - 6*i*q - 238*q wrt i?
180*i**3 + 64140*i*q**2
Find the third derivative of -1461296*k**3 + 1319526*k**2.
-8767776
Find the third derivative of -12*m*u**4 - 10874*m*u**3 + 747*m*u**2 - u**3 - 79*u**2 + 2*u wrt u.
-288*m*u - 65244*m - 6
Find the third derivative of -11640*m**3 + m**2 + 16*m + 162 wrt m.
-69840
Find the first derivative of -2*q**3*r - 564029*q**3 + 370900*q**2*r + 2*q*r**2 wrt r.
-2*q**3 + 370900*q**2 + 4*q*r
Find the second derivative of -3*f**2*o*y + 23*f**2*o + 2*f**2*y**2 - f**2*y - 8861*o*y**2 - 15*o*y - 2*y wrt y.
4*f**2 - 17722*o
Differentiate -16132*l**4 - 169283.
-64528*l**3
Find the second derivative of -221*s**4 - 178*s**2*u + 7*s*u - 38*s + 2*u - 7 wrt s.
-2652*s**2 - 356*u
What is the first derivative of -246318*t**4 - 318657 wrt t?
-985272*t**3
What is the third derivative of 3*p**4 - 234*p**3 + 181965*p**2 wrt p?
72*p - 1404
Differentiate -159514*x + 75464 with respect to x.
-159514
Differentiate 12*i**4 - 20*i**3 + 5*i**2 - 857028 with respect to i.
48*i**3 - 60*i**2 + 10*i
Find the third derivative of 74438*n**3 - 61*n**2 - 23*n - 5 wrt n.
446628
Differentiate -46050*k*l - 15479*k wrt l.
-46050*k
Find the third derivative of 3*v**2*z**4 + 79294*v**2*z**2 - 19513*v*z**4 - v*z**2 wrt z.
72*v**2*z - 468312*v*z
What is the third derivative of -4*k*p**4 - 2*k*p**3*u + 2*k*p**2 - 1025*p**3*u - 7*p**2*u + 4*p*u - 11*u wrt p?
-96*k*p - 12*k*u - 6150*u
Find the second derivative of -6732*c**5 + 38*c**4 - 1778407*c.
-134640*c**3 + 456*c**2
What is the derivative of -3593267*s - 5343865 wrt s?
-3593267
What is the third derivative of 241023*h**5 + 4*h**2 - 3964*h wrt h?
14461380*h**2
What is the first derivative of -265697*i**4 - 2*i + 79448?
-1062788*i**3 - 2
What is the second derivative of 97*n**2*q*y - 17*n**2*q - 352*n**2*y + 95*n*q*y - 81*n + 2*q*y - 14*y wrt n?
194*q*y - 34*q - 704*y
What is the first derivative of -2*q*x**2 + 8*q*x - q + 44*x**4 + 14*x - 97459 wrt x?
-4*q*x + 8*q + 176*x**3 + 14
What is the derivative of -195293*u**4 + 593011 wrt u?
-781172*u**3
Find the third derivative of -220*l**6 + 39*l**5 - l**3 + 8*l**2 + 62*l - 116.
-26400*l**3 + 2340*l**2 - 6
What is the second derivative of 1150*c**4 + 5*c + 3405?
13800*c**2
Find the third derivative of 51539*k*o**3 - 2*k*o**2 + k*o + k - 12144*o**2 + o wrt o.
309234*k
What is the third derivative of 340157*g**3 + 9853*g**2 - 9 wrt g?
2040942
Differentiate -105653*m - 48334.
-105653
Differentiate 105707*f + 4045465 with respect to f.
105707
Find the second derivative of -914650*u**4 + 364985*u wrt u.
-10975800*u**2
What is the third derivative of -2399846*z**3 + 385503*z**2 - z?
-14399076
Find the first derivative of k*t**3*z - 63*k*t**2 + 12*k*z + 22*t**3 - 1612*t**2*z wrt z.
k*t**3 + 12*k - 1612*t**2
What is the third derivative of 2*u**3*z**3 + 5*u**3*z**2 + 14245*u**2*z**4 - 4*u**2*z**2 + 9*u*z**2 - 2*z**2 wrt z?
12*u**3 + 341880*u**2*z
Find the second derivative of -245*f**3*k**3 + 207*f**3*k + 28*f*k**3 - 7449*k**3 wrt f.
-1470*f*k**3 + 1242*f*k
Differentiate 4*d**2*u**2 + d**2*u - 675973*d**2 - 228*d*u**2 + 5*u with respect to u.
8*d**2*u + d**2 - 456*d*u + 5
What is the third derivative of -431*l**5 + 18*l**3 + 2*l**2 + 525*l wrt l?
-25860*l**2 + 108
What is the first derivative of -124*z**2 - 2963*z + 724527 wrt z?
-248*z - 2963
What is the first derivative of 160212*r - 279179?
160212
Find the first derivative of -5220*c**2*g*s**2 + 2*c**2*g - 16*c**2*s**2 + 25*c**2*s + 153*s wrt g.
-5220*c**2*s**2 + 2*c**2
Find the third derivative of 10873*u*x**3 - 4*u*x - 7*u - 5*x**3 - 71*x**2 - 3 wrt x.
65238*u - 30
What is the third derivative of -1900265*s**4 + 269*s**2 + 849 wrt s?
-45606360*s
Find the second derivative of -3*d*f**3 - 28*d*f**2 + 47*d*f + 8*d + 2*f**3 + 25*f**2 wrt f.
-18*d*f - 56*d + 12*f + 50
Find the second derivative of -3*g**3*x**2 - 622*g**3 + 24*g**2*x + 3*g*x**2 + 11374*g wrt g.
-18*g*x**2 - 3732*g + 48*x
Find the third derivative of 271*g**4*k**2 - 19*g**4 + g**2*k - 20*g*k**2 + g*k + 277*g wrt g.
6504*g*k**2 - 456*g
Find the third derivative of -4264*n**5 + 3*n**4 + n**3 - 6830*n**2.
-255840*n**2 + 72*n + 6
What is the second derivative of -102*z**3 - 17*z**2 + 25903*z wrt z?
-612*z - 34
Find the first derivative of -l*t*y - 7*l*t + 117*l*y + 3*l - 19*t*y + 5*t + 6 wrt y.
-l*t + 117*l - 19*t
Differentiate -703960*s + 239314 with respect to s.
-703960
Find the third derivative of -3917053*g**6 + 2709325*g**2.
-470046360*g**3
What is the third derivative of -4*o**4 + 1190*o**3 - 2*o**2 - 31*o - 17 wrt o?
-96*o + 7140
What is the third derivative of -202*n**5 - 252*n**3 - 95*n**2 + 6*n + 8 wrt n?
-12120*n**2 - 1512
What is the second derivative of 12*v**2*y + 40336*v**2 + 3*v*y + 6*v + 2153*y - 1 wrt v?
24*y + 80672
Find the second derivative of -5*x**5 - 91120*x**4 + 2*x + 416151 wrt x.
-100*x**3 - 1093440*x**2
What is the second derivative of 21254*n*w**5 + 7*n*w**2 - 3385*n*w - 26*w wrt w?
425080*n*w**3 + 14*n
What is the second derivative of 359*k*n**2*s - 22*k*n**2 - 5*k*n*s + 2*k*s - 2*n**2*s - n**2 - 2*n*s + 437*n - 3 wrt n?
718*k*s - 44*k - 4*s -
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the greatest common divisor of c and x?
4
Let n = -512 - -738. Suppose n = w + 6. Calculate the greatest common factor of 88 and w.
44
Let g = 28 + -43. Let w be g/((-33)/6 - -4). Suppose t - w = -t. What is the highest common divisor of 2 and t?
1
Suppose 17*w - 14*w - 1677 = 0. Calculate the highest common factor of 13 and w.
13
Suppose 59 + 330 = 3*x + 5*f, -5*f = x - 143. Let j = x + -210. Let l = 9 - j. What is the highest common factor of 12 and l?
12
Let l be (276/18)/((-1)/3 + 1). Suppose -n + l - 16 = 0. Calculate the greatest common divisor of n and 28.
7
Let a(q) = 2*q**2 - 7*q + 18. Let f be a(3). Calculate the highest common divisor of f and 65.
5
Suppose -5*g + 15 = 0, 4*g - 60 = -n - 0*n. Let p = n + -21. Let r be (81/(-2))/(4/(-24)). What is the highest common factor of r and p?
27
Let g(c) = -80*c + 2. Let j be g(-2). Let z(m) = 8*m + 22 - 5*m - m + 8. Let a be z(-6). Calculate the greatest common factor of a and j.
18
Let l(f) = 13*f**2 - 4*f - 8. Let w be l(5). Let j be 1212/108 + 0 - (-4)/(-18). What is the highest common factor of j and w?
11
Let o = 82 - 52. Suppose -4 = -j + 4. Let n be (j/(-10))/((-2)/25). Calculate the greatest common divisor of o and n.
10
Suppose -4*h = -6*h + 16. Suppose -5*a + 26 = 2*m, 0 = 5*m - m + a - 16. Let u be 1/(m/18) + 2. Calculate the greatest common factor of u and h.
8
Suppose y - 5*y + 40 = -4*g, 3*g - 26 = -4*y. Suppose 67 + 137 = 4*a - 5*r, 2*a + 2*r = 120. Calculate the greatest common factor of y and a.
8
Let b be -1 + -4 - 3/(-3) - -29. Suppose 0 = 3*u + 4*s - 118, 67 = 3*u - 5*s - 15. Let t = u + -9. What is the highest common divisor of t and b?
25
Suppose 30*a - 28*a - 56 = 0. Calculate the greatest common factor of 238 and a.
14
Let d(g) = 2*g**2 + g + 4. Let s be d(6). Let j = 39 - s. Let h = 88 + j. What is the highest common factor of h and 18?
9
Let h(o) = 3*o - 6*o**2 - 4*o**2 + 9*o**2 + 4. Let v be h(3). Let b be 3 - v/(8/(-106)). What is the greatest common divisor of b and 7?
7
Let r = 5 - 28. Let n = 27 - r. What is the highest common factor of 25 and n?
25
Suppose -9*u = -43*u + 2380. What is the highest common divisor of 40 and u?
10
Let q be (-4)/(-10) - (-1314)/15. Let c(l) = 3*l + 2. Let u be c(2). Calculate the greatest common divisor of q and u.
8
Let t be 168/(-196)*63/(-6). Calculate the highest common divisor of t and 81.
9
Suppose -2*m + 28 = 4*h, 3*h = -4*m + h + 32. Let c be 7548/52 - m/39. Let l(g) = 11*g + 3. Let u be l(5). Calculate the greatest common factor of c and u.
29
Let r = 1292 + -1243. Calculate the highest common factor of 154 and r.
7
Suppose 87*z = 91*z - 112. Calculate the greatest common divisor of z and 7.
7
Let k = 1229 - 1179. What is the greatest common factor of k and 1850?
50
Let a be 3 + 2 + -3 + 7. What is the highest common factor of a and 9?
9
Let u be ((-2)/1)/((-1)/(-4)). Let c = 11 + u. Let j(s) = 2*s**2 - 2*s + 1. Let m be j(0). Calculate the greatest common divisor of c and m.
1
Suppose -10*z - 122 = -462. Calculate the greatest common factor of z and 272.
34
Suppose 3*o - 513 = -4*l, 0 = o + 2*l + 2*l - 179. Let m = o + -113. Calculate the greatest common factor of 18 and m.
18
Let w be 18/54*(388 + -1). Calculate the highest common divisor of w and 3.
3
Suppose -6*l = -10*l - 3*r + 93, -r + 47 = 2*l. Calculate the highest common factor of l and 24.
24
Suppose -3*j + 28 = -3*q + 7, 4*j - 5*q = 29. Suppose 3*c = j*c. Let g be (c - 0) + (-64)/(-2). What is the greatest common factor of 16 and g?
16
Suppose -756 = -9*g - 9*g. What is the greatest common factor of g and 18?
6
Let g = -12 - -16. Suppose -z + 3*c = 0, 0 = 2*z - 4*z + 4*c + g. Calculate the highest common divisor of 4 and z.
2
Suppose 0 = 2*l - 4*t + 12, 4*l = -t + 6*t - 9. Let a = l + 6. Calculate the highest common divisor of 4 and a.
2
Let k(l) = -6*l - 80. Let c be k(-28). What is the highest common divisor of 16 and c?
8
Let o be (1 + (-3 - -4))/(2 + -3). Let b = 2 + -10. Let l be (-4)/b - 45/o. What is the highest common factor of 23 and l?
23
Suppose -f = 4*t - 2*t - 2, 5*t = 0. Suppose -c = f*c - 66. Calculate the highest common divisor of 55 and c.
11
Let b(m) = -6*m + 116. Let a be b(8). Calculate the highest common factor of 204 and a.
68
Let h be 3/(-2)*(-104)/6. Let z(a) = -a**2 + 46*a - 428. Let u be z(17). Calculate the greatest common divisor of u and h.
13
Suppose -5*y + o = 3*o - 392, 5*y + 5*o = 380. Suppose 2*f = -3*f + y. What is the highest common factor of f and 8?
8
Let w = 52 - -8. Calculate the greatest common divisor of w and 50.
10
Let c(y) = 5*y**2 - 2*y + 1. Suppose -u - 5 = -6*u. Let q be c(u). Let d be 1 + 0/3 - -3. What is the greatest common divisor of q and d?
4
Let q(k) = 97*k - 1. Let v be q(1). Let s = -27 - -39. What is the highest common divisor of s and v?
12
Let o = 59 + -57. Let i(t) be the first derivative of t**2 + t - 1. Let z be i(o). What is the greatest common divisor of 5 and z?
5
Let r = 12 - 15. Let y be r + (-2 - -7) - -4. Suppose 128 = 5*a - 3*d - 124, 3*a = -3*d + 132. What is the highest common divisor of y and a?
6
Suppose 153 = m + 5*z, m + 0*z - 169 = 3*z. Calculate the greatest common divisor of 1 and m.
1
Let g = 177 + -160. Calculate the highest common divisor of 34 and g.
17
Let x = 846 + -346. What is the highest common divisor of x and 25?
25
Suppose 815 = 26*d + 35. Calculate the highest common divisor of 300 and d.
30
Let z be (-6)/(-9)*(-81)/(-18). Calculate the greatest common factor of 27 and z.
3
Let a(h) = -h**2 + 21*h - 90. Let v be a(13). What is the greatest common divisor of 49 and v?
7
Suppose x + 4*x - 3*l - 225 = 0, 0 = 2*x - 5*l - 71. Let o be (19/4 + -4)/(2/16). Calculate the highest common divisor of o and x.
6
Suppose -4*c + 4*s = -44, 20 = c - 0*s - 4*s. Suppose -5*q + 13 = 3. What is the highest common divisor of q and c?
2
Let k = 45 - 46. Let y be 6/(-3*k/6) + 3. What is the greatest common factor of y and 6?
3
Let b be -3 - ((-1 - 2) + -3). Let k be -1 - (75/(-9) - 1/(-3)). Let g = k + b. What is the greatest common divisor of g and 10?
10
Let o = 165 - 66. Let k = o + -93. Calculate the highest common factor of 3 and k.
3
Let b(t) = -5*t - 15. Let m be (6/12)/((-1)/34). Let j be b(m). Suppose -10 = 2*h, 2*a - 4*h + j = 306. Calculate the highest common factor of a and 18.
18
Let p = -717 - -749. Calculate the highest common divisor of p and 848.
16
Let g = 1299 - 831. Calculate the greatest common factor of 72 and g.
36
Suppose -2*h - 240 = -7*h. Calculate the greatest common divisor of 72 and h.
24
Suppose 65 = 25*d - 12*d. Suppose -d*v - 20 = -10*v. Calculate the highest common divisor of v and 44.
4
Let w(t) = -2*t**2 - 5*t + 2. Let y be w(-6). Let r be (y/(-15))/(4/12). What is the highest common divisor of r and 24?
8
Let q be 710/2 + 2 + -2. What is the highest common divisor of q and 71?
71
Let r(f) = -f**3 - 2*f**2 + 18*f - 16. Let c be r(-7). What is the greatest common factor of 3811 and c?
103
Let i = 59 - -62. What is the highest common divisor of i and 66?
11
Suppose -24 = -l - 2*l. What is the greatest common divisor of l and 44?
4
Suppose -14*d = -10*d + 96. Let o = -12 + 46. Let m = o + d. Calculate the greatest common divisor of m and 50.
10
Suppose -566*x + 568*x - 10 = 0. Calculate the highest common factor of 13 and x.
1
Suppose 0 = d - 2*d - 6. Let i = 4 - d. Suppose -t - s + 10 = 0, 4*s = 3*t - 1 + 6. What is the highest common factor of i and t?
5
Let p = -17 + 24. Suppose -92*n + 3464 = -1688. Calculate the greatest common divisor of n and p.
7
Suppose -y = -2*d - 5, 2*y - 5*y + 3*d + 24 = 0. What is the highest common factor of 11 and y?
11
Let p be (6 - 9) + (2 - -11). What is the greatest common factor of 25 and p?
5
Let m(z) = -z - 1. Let h(t) = -2*t**2 + 3*t + 8. Let r(x) = -h(x) - 6*m(x). Let n be r(-4). What is the highest common divisor of n and 72?
18
Suppose 2*v = 2*n + 32, -28 = -v + 3*n + 2*n. Let t = 8 + -7. Calculate the greatest common factor of v and t.
1
Let w = -83 + 131. Suppose 2*v - 12 = -19*h + 24*h, -v = 5*h - 36. What is the highest common divisor of w and v?
16
Let q(y) = -y**3 + 12*y**2 + 2*y - 4. Let d be q(12). Suppose d = 5*v - 0*v. Let h be v*(22 + (-1 - -1)). Calculate the greatest common divisor of h and 11.
|
{
"pile_set_name": "DM Mathematics"
}
|
4, i: 2, v: 7, g: 1}. Give prob of picking 1 i and 2 x.
3/91
Three letters picked without replacement from {e: 3, p: 1, g: 2, n: 4}. What is prob of picking 1 n and 2 e?
1/10
Calculate prob of picking 3 x when three letters picked without replacement from xxmxmxcmmccmccmmm.
1/170
Calculate prob of picking 2 y when two letters picked without replacement from {p: 1, y: 2, e: 1}.
1/6
What is prob of picking 4 g when four letters picked without replacement from {n: 1, g: 10, j: 9}?
14/323
What is prob of picking 4 l when four letters picked without replacement from {l: 12, v: 1}?
9/13
Two letters picked without replacement from rrrlrrrrlrrrrrl. Give prob of picking 1 r and 1 l.
12/35
What is prob of picking 2 u, 1 b, and 1 q when four letters picked without replacement from {b: 4, u: 2, y: 2, q: 12}?
16/1615
Four letters picked without replacement from rxczzzzzz. What is prob of picking 1 c and 3 z?
10/63
Two letters picked without replacement from {p: 8, t: 1, q: 2, j: 5, o: 1}. What is prob of picking 2 p?
7/34
Calculate prob of picking 1 c, 1 r, 1 y, and 1 k when four letters picked without replacement from yycrrkyrryykyyryyryr.
28/969
Three letters picked without replacement from {g: 3, t: 3, m: 3, k: 1}. What is prob of picking 1 k and 2 t?
1/40
What is prob of picking 4 n when four letters picked without replacement from {n: 8, q: 2, a: 8}?
7/306
Two letters picked without replacement from {l: 4, f: 1, k: 1, o: 3, w: 1, s: 2}. What is prob of picking 1 l and 1 f?
2/33
Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {t: 1, b: 1, p: 2, z: 1}.
1/10
Two letters picked without replacement from {q: 3, k: 5, x: 2, z: 1, b: 2, e: 7}. Give prob of picking 2 e.
21/190
Calculate prob of picking 2 m when two letters picked without replacement from mzmmzmzzzmzmzmmzmz.
4/17
Three letters picked without replacement from snnunnnnooonossnuno. What is prob of picking 1 n, 1 o, and 1 s?
45/323
Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, o: 1, t: 2, i: 5, v: 5, w: 1}.
2/105
Two letters picked without replacement from tye. Give prob of picking 2 y.
0
Four letters picked without replacement from pppqqpqjqj. Give prob of picking 2 j and 2 q.
1/35
Two letters picked without replacement from {e: 3, l: 2, m: 2, a: 4, j: 2}. What is prob of picking 1 e and 1 m?
1/13
What is prob of picking 1 v and 1 d when two letters picked without replacement from {j: 4, g: 2, d: 1, w: 1, v: 1, z: 3}?
1/66
Three letters picked without replacement from jvmrm. Give prob of picking 1 m, 1 v, and 1 r.
1/5
Two letters picked without replacement from ylyyywfwyioiyiyyyyy. Give prob of picking 1 y and 1 f.
11/171
Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {z: 1, r: 2}.
2/3
Four letters picked without replacement from {x: 6, n: 9, r: 4}. Give prob of picking 1 n, 2 x, and 1 r.
45/323
Four letters picked without replacement from immmimi. Give prob of picking 2 m and 2 i.
18/35
Two letters picked without replacement from {s: 2, u: 11, j: 2}. What is prob of picking 1 u and 1 j?
22/105
Two letters picked without replacement from hojvoohhvkh. What is prob of picking 2 h?
6/55
What is prob of picking 1 h and 1 p when two letters picked without replacement from {s: 1, p: 2, q: 5, h: 1, m: 1, y: 7}?
1/68
Four letters picked without replacement from eekkeksskeskkskk. What is prob of picking 3 k and 1 e?
8/65
Four letters picked without replacement from {s: 3, d: 2, v: 3, y: 3, n: 1, j: 3}. Give prob of picking 2 d and 2 s.
1/455
Calculate prob of picking 1 w and 1 b when two letters picked without replacement from vyribyw.
1/21
Calculate prob of picking 2 t when two letters picked without replacement from {v: 14, t: 4}.
2/51
What is prob of picking 1 c and 1 l when two letters picked without replacement from {m: 1, t: 1, l: 1, w: 1, g: 1, c: 2}?
2/21
What is prob of picking 2 n and 1 u when three letters picked without replacement from {y: 3, e: 4, u: 4, n: 7}?
7/68
Two letters picked without replacement from {q: 6, l: 13}. Give prob of picking 2 q.
5/57
What is prob of picking 2 f, 1 e, and 1 j when four letters picked without replacement from ifyjxef?
1/35
Four letters picked without replacement from {v: 1, x: 1, t: 2, f: 1, q: 3, l: 4}. Give prob of picking 3 q and 1 l.
4/495
Calculate prob of picking 2 z when two letters picked without replacement from {e: 2, s: 8, z: 2}.
1/66
Two letters picked without replacement from {o: 1, h: 4, v: 4, g: 1}. Give prob of picking 1 o and 1 v.
4/45
Three letters picked without replacement from fdjsdkddfrdssskjs. What is prob of picking 2 d and 1 r?
1/68
Calculate prob of picking 1 s, 2 p, and 1 o when four letters picked without replacement from louopoouuusoupu.
1/273
Three letters picked without replacement from {b: 2, p: 1, i: 2, s: 9}. Give prob of picking 1 s and 2 b.
9/364
What is prob of picking 3 k when three letters picked without replacement from kkkk?
1
Calculate prob of picking 2 n and 1 e when three letters picked without replacement from ebnkneuntenb.
9/110
Two letters picked without replacement from {r: 2, u: 3, i: 1, q: 2, b: 4}. What is prob of picking 1 r and 1 q?
2/33
Two letters picked without replacement from {x: 6, y: 4, n: 1}. Give prob of picking 1 x and 1 n.
6/55
Three letters picked without replacement from {q: 3, d: 4, b: 4, j: 1, u: 1, o: 5}. What is prob of picking 1 j and 2 o?
5/408
Two letters picked without replacement from pppvewpvpwpppp. Give prob of picking 1 w and 1 p.
18/91
Four letters picked without replacement from ffvvjfbvwfkb. Give prob of picking 2 b, 1 j, and 1 v.
1/165
What is prob of picking 1 h, 2 f, and 1 k when four letters picked without replacement from fkkhhfhhhhfhfhhhkhhh?
78/1615
Calculate prob of picking 1 q and 1 b when two letters picked without replacement from rbqaw.
1/10
Four letters picked without replacement from {w: 4, y: 6, x: 4, l: 3, t: 1, j: 1}. What is prob of picking 1 x and 3 l?
1/969
Two letters picked without replacement from qqqqcee. Give prob of picking 2 e.
1/21
Two letters picked without replacement from {y: 1, o: 1, b: 1, v: 1, l: 1, e: 2}. Give prob of picking 1 e and 1 l.
2/21
Two letters picked without replacement from {g: 7, z: 3, h: 2, f: 2, r: 3, j: 1}. What is prob of picking 2 h?
1/153
Two letters picked without replacement from usussuussusss. What is prob of picking 2 u?
5/39
Three letters picked without replacement from {t: 4, f: 3, n: 1, i: 2, r: 4}. What is prob of picking 1 i, 1 r, and 1 f?
6/91
Two letters picked without replacement from {q: 9, a: 3, t: 1, r: 6}. Give prob of picking 1 a and 1 r.
2/19
What is prob of picking 3 y when three letters picked without replacement from nnnynyny?
1/56
Two letters picked without replacement from {l: 1, k: 7, g: 5, b: 1, p: 2}. What is prob of picking 1 g and 1 l?
1/24
Calculate prob of picking 1 r and 1 b when two letters picked without replacement from ryby.
1/6
Two letters picked without replacement from gddggggggggggggggggg. Give prob of picking 1 g and 1 d.
18/95
What is prob of picking 1 t and 1 r when two letters picked without replacement from ywyyrkt?
1/21
Four letters picked without replacement from {k: 5, z: 4, q: 1}. What is prob of picking 3 k and 1 z?
4/21
Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {j: 7, o: 11, r: 2}.
11/95
Two letters picked without replacement from kkkvekevkekkkvkkvk. What is prob of picking 2 e?
1/51
Two letters picked without replacement from xtxtntnx. Give prob of picking 2 n.
1/28
Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {z: 2, w: 4, g: 6, q: 4, o: 1}.
1/170
What is prob of picking 2 i and 1 m when three letters picked without replacement from yipypyyiypyqmyys?
1/560
What is prob of picking 4 d when four letters picked without replacement from {a: 11, d: 5}?
1/364
Calculate prob of picking 2 p when two letters picked without replacement from {f: 1, p: 18}.
17/19
Two letters picked without replacement from ttcccccccccvtt. Give prob of picking 1 t and 1 c.
36/91
Calculate prob of picking 1 q, 1 t, 1 u, and 1 w when four letters picked without replacement from {u: 1, w:
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2*o - 2*w**2 + 55 wrt o?
-84*o**2 + 6*o*w**2 - 114*o*w
Find the third derivative of 79*s**6 + 54*s**5 + 196755*s**2.
9480*s**3 + 3240*s**2
What is the first derivative of 195039*m*x**4 - 2*m*x**3 - 320530*m wrt x?
780156*m*x**3 - 6*m*x**2
Find the third derivative of 10*g**2*h**3*w**3 + 30748*g**2*h**3 - g**2*h**2*w**3 - 10*g**2*h**2*w**2 + 2428*g*h**2 + 2*g*h*w**3 wrt h.
60*g**2*w**3 + 184488*g**2
Find the second derivative of 5557*r**2 - 44330*r wrt r.
11114
Find the first derivative of -2*l**3*q**3 - 42462*l**3*q*t - 4*l**3*t + 7*l*q**2 + q**3*t + 2781*q**3 wrt t.
-42462*l**3*q - 4*l**3 + q**3
Differentiate -q*y + 55045*q + 22325*y**2 with respect to y.
-q + 44650*y
What is the third derivative of -126931*h**3 - 469335*h**2 + 2 wrt h?
-761586
Differentiate -2*l*m**3*u*x - 58*l*m**3*x + 13*l*m*x - 90673*m**2*u*x + 144*m*x wrt u.
-2*l*m**3*x - 90673*m**2*x
What is the first derivative of 2476*l**3 + 39*l**2 + 146672?
7428*l**2 + 78*l
What is the third derivative of 464*c**3*h**2*j + 60*c**3*h*j**2 + 2*c**2*h**2*j**2 + 2*c*j**2 + 101*h**2*j wrt c?
2784*h**2*j + 360*h*j**2
Differentiate 2*d**2*l - 31496*d**2 - 2926*d*l - l with respect to l.
2*d**2 - 2926*d - 1
Differentiate 7840*h**3*i**2 + 1810165*h**3 - 49*h*i**3 with respect to i.
15680*h**3*i - 147*h*i**2
What is the third derivative of 1954*w**5 + 2*w**4 + 3*w**3 - 5*w**2 - 2421*w?
117240*w**2 + 48*w + 18
Find the second derivative of -k**3*z**3 - 294*k**3*z + 10*k**2*z**3 - 2*k**2 + 2*k*z + z**2 - 6*z wrt z.
-6*k**3*z + 60*k**2*z + 2
Find the second derivative of -3*o**3 + 3899*o**2*r**2 + o*r**2 - 28*o*r - 108*r**2 + 2*r wrt o.
-18*o + 7798*r**2
Find the second derivative of 16*a**3*j**5 + 257*a**3*j**2 + 12*a**3*j - 3*a*j**2 - 2*a - 28 wrt j.
320*a**3*j**3 + 514*a**3 - 6*a
Find the third derivative of 396*b**3*k*m - 10*b**3*k + 19*b**3*m - 15041*b**2*k*m - 5*b**2 - 3*b*k wrt b.
2376*k*m - 60*k + 114*m
What is the second derivative of -6118*m**5 - m**4 - 5*m**3 + 287915*m + 2?
-122360*m**3 - 12*m**2 - 30*m
What is the third derivative of 59522*p**3 + 3*p**2 + 44642*p wrt p?
357132
Find the first derivative of -114*b**3*d**2 + 489*b**3*d + 121*b**3 + b**2 + 13*b*d + 51*b + 1 wrt d.
-228*b**3*d + 489*b**3 + 13*b
Find the first derivative of -81*f**3*r**2 - 491*f**3*r + 46172*r**2 wrt f.
-243*f**2*r**2 - 1473*f**2*r
What is the third derivative of -4172204*f**3*n - 6275173*f**2*n wrt f?
-25033224*n
What is the second derivative of -34158*g**3*j*p - 3*g**2*j*p - 5*g*j*p + 3*g*j + 2*g*p - 106*j*p wrt g?
-204948*g*j*p - 6*j*p
What is the second derivative of -150*u**5 - 2*u**4 - 51*u**2 - 95214*u?
-3000*u**3 - 24*u**2 - 102
What is the second derivative of 26201*o**4 - 110*o + 17 wrt o?
314412*o**2
Find the third derivative of -20609*l**3 - l**2 - 3*l - 3525 wrt l.
-123654
What is the third derivative of -7*o**3*x**3 + 2*o**3*x**2 + 500091*o**3*x + 60548*x**3 wrt x?
-42*o**3 + 363288
What is the first derivative of -3*c**2 - 150873*c + 1890461?
-6*c - 150873
What is the third derivative of 9*h**5 + 51*h**4 - 248*h**3 + 97676*h**2 wrt h?
540*h**2 + 1224*h - 1488
Find the second derivative of 195560*z**2 + 70109*z wrt z.
391120
What is the first derivative of 25*j*q**2 + 679*j*q - 16142*j + q**2 + 3*q + 63 wrt q?
50*j*q + 679*j + 2*q + 3
Find the second derivative of 871*i*n*q**2 + 64*i*n*q - 2*n*q + 15*n - 2*q**5 - 7*q**2 + 15*q wrt q.
1742*i*n - 40*q**3 - 14
Find the first derivative of 47479*c**3 - 12*c**2 + 2*c + 3056030 wrt c.
142437*c**2 - 24*c + 2
Find the second derivative of -888155*p**5 + 1078582*p.
-17763100*p**3
What is the derivative of 6730*m + 13698?
6730
Find the second derivative of 20*c**2*y**2 + 45*c**2*y + 4*c**2 + 589*c*y**2 - 2*c - 5*y**2 - 3*y wrt y.
40*c**2 + 1178*c - 10
What is the derivative of -11*d**4 - 10*d**3 + 3*d*p + d - 272*p - 49 wrt d?
-44*d**3 - 30*d**2 + 3*p + 1
Find the third derivative of 71639*s**4 + 11*s**2 + 2*s + 10 wrt s.
1719336*s
Find the second derivative of -144621*a**2*o**3 - a**2*o**2 - 2*a*o**3 - 301*a*o**2 + 7*a + 15*o wrt a.
-289242*o**3 - 2*o**2
What is the derivative of -5212*b**3 - 56119?
-15636*b**2
Differentiate 6*c**4*t - 2*c**3 + 5355*c*t - 226*t - 120 wrt c.
24*c**3*t - 6*c**2 + 5355*t
What is the derivative of -762*m**3 + 3*m**2 + 28258 wrt m?
-2286*m**2 + 6*m
Find the third derivative of 743245*v**4 - 1053149*v**2.
17837880*v
What is the derivative of -1408214*u - 1162457 wrt u?
-1408214
What is the second derivative of p**3 + 246214*p**2 + 597350*p wrt p?
6*p + 492428
What is the second derivative of -22*j*u**2*y**2 + 939*j*u**2*y - 6197*j*u*y**2 + 6*j + 5*u**2*y + 1 wrt y?
-44*j*u**2 - 12394*j*u
What is the third derivative of -1798*j**2*y**3 - 24569*j**2*y - y**2 wrt y?
-10788*j**2
Find the third derivative of 2071*c**3*h*v**3 + 4*c**3*v**3 + 2*c**3*v - 10*c**2*h*v**3 + 9*c**2*h*v + c**2 - 4*c*h*v**3 - c*h*v wrt c.
12426*h*v**3 + 24*v**3 + 12*v
Find the first derivative of -t*w**3*x + t*w**3 - 4*t*w**2 - 40429*t*w*x - 12*t*w + 5*w**3 wrt x.
-t*w**3 - 40429*t*w
Find the second derivative of -5*f**2*j - 5316*f**2 - f + 5872*j - 2 wrt f.
-10*j - 10632
What is the first derivative of -3519864*f**4 - 49478 wrt f?
-14079456*f**3
Find the third derivative of 38*d**3*w**3 + 10*d**3*w**2 - 5*d**3 + d**2*w**3 + 50*d*w**3 - 209*d*w**2 wrt d.
228*w**3 + 60*w**2 - 30
Find the first derivative of 14438*c + 895498 wrt c.
14438
Differentiate 31007*c - 20375 with respect to c.
31007
Find the second derivative of 3284058*l**2*z**3 - 177*l*z**3 + 1227*z**3 wrt l.
6568116*z**3
What is the third derivative of 78*q**6 - 22*q**5 - q**4 + 3*q**2 - 3*q + 911?
9360*q**3 - 1320*q**2 - 24*q
Differentiate -2530831*w**2 + 2107482 with respect to w.
-5061662*w
Differentiate 763*g**3 - 32*g + 28261.
2289*g**2 - 32
What is the second derivative of -75629*b**4*w**2 + 132*b*w**2 + 19*b*w - 5*w**2 + w wrt b?
-907548*b**2*w**2
Find the third derivative of -574202*k**3*q**3 - 2*k**3 + 40776*k**2*q**2 - q wrt q.
-3445212*k**3
Find the third derivative of -24*p**6 - 7*p**4 + 8*p**2 - 2*p - 123.
-2880*p**3 - 168*p
What is the first derivative of -355*f**2*s**3 + 20*f**2*s + s**3 + 3*s**2 + 974 wrt f?
-710*f*s**3 + 40*f*s
Find the third derivative of 1788*b**4*i**2 - b**4*i + 16*b**3 - 6*b**2 + 91*i**2 - 7*i wrt b.
42912*b*i**2 - 24*b*i + 96
What is the derivative of -101*d**2*s**2 + 8*d**2*x + 33*d*s**2 + 1522*s**2*x - 2*s**2 wrt x?
8*d**2 + 1522*s**2
Find the second derivative of -64*k**5*w**3 + 318*k**3*w**3 + 60183*k*w**3 wrt k.
-1280*k**3*w**3 + 1908*k*w**3
What is the third derivative of 2*i**3*q*u**2 - 2*i**3*q + 218929*i**3*u - 14*i**2*q*u**2 + 3*i*q*u**2 - 11*i + 2*q*u**2 - 2*q wrt i?
12*q*u**2 - 12*q + 1313574*u
What is the third derivative of 407284*m**6 - 1312582*m**2?
48874080*m**3
Find the second derivative of -14845*t**4 - 36309*t wrt t.
-178140*t**2
Find the third derivative of 76197*v**5 - 20*v**2 + 26*v + 7 wrt v.
4571820*v**2
Find the first derivative of t**4 - 83964*t**2 - 202466.
4*t**3 - 167928*t
Find the second derivative of 4632*p**3 + 4*p**2 + 112381*p.
27792*p + 8
Find the second derivative of 27586*t**3 - 849*t.
165516*t
Find the third derivative of -b**6 - 175038*b**3 - 13*b**2 - 3836*b wrt b.
-120*b**3 - 1050228
Find the third derivative of -4978*i**3*l**3 + i**3*l**2*s - i**3*l*s - 5*i**2*l**3*s - 3*i**2*l*s - l**3 + 7*l wrt i.
-29868*l**3 + 6*l**2*s - 6*l*s
What is the second derivative of -34586*x**2 - 833*x + 30 wrt x?
-69172
Find the third derivative of -1944315*x**4 + 982*x**2 - 1111 wrt x.
-46663560*x
What is the second derivative of 464414*i**2*n**2 - 35*i**2 - 2*i*n - 57*i - 15 wrt n?
928828*i**2
Find the second derivative of 3*c**3 - 2819*c**2 - 1609*c - 34 wrt c.
18*c - 5638
Find the first derivative of -30*a**2 + 1290*a - 21372 wrt a.
-60*a + 1290
Differentiate -449*j**2*m**2 - 359685*j**2 - 91*j*m**2 with respect to m.
-898*j**2*m - 182*j*m
Find the second derivative of -o**4 - 2711*o**3 - 2*o**2 - 95571*o.
-12*o**2 - 16266*o - 4
What is the third derivative of -47703*i**3*s**3 + 18*i**2*s**2 - 21*i**2*s + i*s**3 wrt i?
-286218*s**3
Find the third derivative of -308*a**5 - 149*a**4 - 8121*a**2 - a - 2.
-18480*a**2 - 3576*a
Find the third derivative of -30297*v**4 + 2*v**3 - 40035*v**2 + 2*v wrt v.
-727128*v + 12
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
e.
g**(87/4)
Simplify ((q/(q**(-8)*q))/q**(1/15))/(q/q**(2/3))**18 assuming q is positive.
q**(29/15)
Simplify (y/(y*y*y**28))/(y*y/y**(-25)) assuming y is positive.
y**(-56)
Simplify (j**(1/3))**(-2/47)/((j**(-1/6)/j)/j**(2/3)) assuming j is positive.
j**(171/94)
Simplify (y**(-1/3))**(12/13)*y/y**3*y/((y*(y/y**5)/y*y*y)/y) assuming y is positive.
y**(22/13)
Simplify (c**(1/16)*c**(-6))/(c*(c/c**3)/c)**(-1/38) assuming c is positive.
c**(-1821/304)
Simplify v**(4/9)*v/((v*v**(1/5)/v*v)/v*v*v)*v*v*(v**(1/3)*v)**(-2/153) assuming v is positive.
v**(2816/2295)
Simplify ((p*p**46*p)/p)**(3/2) assuming p is positive.
p**(141/2)
Simplify (((q*q**36*q*q)/q*q)/q*q)/q**(-18) assuming q is positive.
q**57
Simplify (m*m*m**9)/(m*(m**7*m)/m)*m**6*m*m**(-7)/m*m assuming m is positive.
m**3
Simplify (c**(-17)*c)/c**(3/23) assuming c is positive.
c**(-371/23)
Simplify (q**(3/25))**(1/5) assuming q is positive.
q**(3/125)
Simplify (s*s**11)**(-18/11) assuming s is positive.
s**(-216/11)
Simplify (h**9*h**(2/7))**(-25/3) assuming h is positive.
h**(-1625/21)
Simplify r/(r**(-35/2)/r)*r**(-29) assuming r is positive.
r**(-19/2)
Simplify (q/(q/q**0))**(-12)/((q**(2/3)*q)/q**(-4)) assuming q is positive.
q**(-17/3)
Simplify n**(-3/2)/n*(n*n**(2/13))/n assuming n is positive.
n**(-61/26)
Simplify g**16/g**(-3/7) assuming g is positive.
g**(115/7)
Simplify l**(-8/9)/(l*l**(-22)) assuming l is positive.
l**(181/9)
Simplify ((m/m**(-6)*m*m)/m**8)/(m**0*m*m*m/(m**(3/11)*m)) assuming m is positive.
m**(-8/11)
Simplify (k*k**(-14)*k)**(-11/2) assuming k is positive.
k**66
Simplify ((i*i**(-4))/i**0)/(i**6*i**(3/4)) assuming i is positive.
i**(-39/4)
Simplify (f**(1/9))**(-3) assuming f is positive.
f**(-1/3)
Simplify k**14/((k**19/k)/k) assuming k is positive.
k**(-3)
Simplify (a/(a/(a/(a/a**(-17)))))**43 assuming a is positive.
a**(-731)
Simplify (u/(u/(u/(u/(u**14/u))*u))*u*u*u/(u**(-12)/u*u))**(-9) assuming u is positive.
u**(-261)
Simplify (((w*w**20/w)/w)/w*w*w*w**(-5/6))**(-36/7) assuming w is positive.
w**(-690/7)
Simplify ((g/g**(-1/4))/(g*g/g**(-8)))**23 assuming g is positive.
g**(-805/4)
Simplify b**(1/4)/b**(-2) assuming b is positive.
b**(9/4)
Simplify (i**(-1))**17*(i**1)**(-3/7) assuming i is positive.
i**(-122/7)
Simplify h*h*h**(2/51)*h/(h/(h/(h/h**17))) assuming h is positive.
h**(971/51)
Simplify (((m/(m/m**(1/4)))/m)/m**(-1/3))/((m*m*m*m**(-3)*m*m)/m*m**(1/14)) assuming m is positive.
m**(-125/84)
Simplify (f*f**2*f**(-1))/(f**(1/2)*f**(-3)*f) assuming f is positive.
f**(7/2)
Simplify (x**(1/17)/(x**(-1/2)/x))**40 assuming x is positive.
x**(1060/17)
Simplify b**(-1/13)*b**4*b/(b**0*b)*b/(b/b**0)*b assuming b is positive.
b**(64/13)
Simplify p**(-8/5)/p**(-1/7) assuming p is positive.
p**(-51/35)
Simplify (r**(2/13))**(-22) assuming r is positive.
r**(-44/13)
Simplify (c**2)**(-4/11)*c**(3/2)/c*c*c**(-6) assuming c is positive.
c**(-115/22)
Simplify (z*z*z**(1/2)*z)/(z**(-2)*z)*z**(-2/17)*(z*(z*z**(-2/5))/z*z)/z assuming z is positive.
z**(847/170)
Simplify y/(y**(-3)*y*y)*(y**6/y)/y assuming y is positive.
y**6
Simplify (((t**(2/5)/t*t)/t)**(-7/10))**31 assuming t is positive.
t**(651/50)
Simplify u**(6/13)*u**24 assuming u is positive.
u**(318/13)
Simplify (b**(1/6)/b)**(-16) assuming b is positive.
b**(40/3)
Simplify ((h/h**(-1))**(1/4))**(-8) assuming h is positive.
h**(-4)
Simplify a/((a/(((a/a**(-7))/a)/a*a*a))/a)*a*a**7*a**(-6/7)*a**(-1/9)/a assuming a is positive.
a**(947/63)
Simplify (f**0*f)**(-9)/(f**(1/4)*f*f*f**(-2/5)) assuming f is positive.
f**(-217/20)
Simplify (w/(w/(w**(-1)*w*w)*w)*w)**(-1/3)*(w/w**(-1))**(-15) assuming w is positive.
w**(-91/3)
Simplify (y**1/y)/((y/y**1*y)/y)*(y*y*y*(y/(y**0*y))/y*y*y)**6 assuming y is positive.
y**24
Simplify (n**(-2/35))**(3/5) assuming n is positive.
n**(-6/175)
Simplify (s**(2/11))**(-26) assuming s is positive.
s**(-52/11)
Simplify o/(o/o**(-6/7))*o**0*(o*o**(-2/9))**(-38) assuming o is positive.
o**(-1916/63)
Simplify (x*x*x**11*x*x)**(5/3) assuming x is positive.
x**25
Simplify (y/(y/(y**(-2/21)/y*y*y*y)))/(y/y**(-17)) assuming y is positive.
y**(-338/21)
Simplify ((c*c**0)**(-22/3))**23 assuming c is positive.
c**(-506/3)
Simplify ((o**(-6/13))**4)**(-50) assuming o is positive.
o**(1200/13)
Simplify ((t**1)**(2/77))**(-29) assuming t is positive.
t**(-58/77)
Simplify b**(-3)/b*b**(-4/7) assuming b is positive.
b**(-32/7)
Simplify ((m/(m*(m**2*m)/m))**(-1/25))**(3/13) assuming m is positive.
m**(6/325)
Simplify c*c*c*c**(-6)/c*c*c**(-2)*(c/c**(-2/7))**(-3/34) assuming c is positive.
c**(-1217/238)
Simplify (z/(z*z**(-2/9)*z)*z**(3/5))**(4/7) assuming z is positive.
z**(-32/315)
Simplify r*(r*r**(-18)*r*r)/r*r*r/(r/r**(3/14))*r assuming r is positive.
r**(-179/14)
Simplify (f**(2/17)/f)/(f*f/(f**(-1)/f)*f)*(f**(-1/3)/f*f*f)**(-2/49) assuming f is positive.
f**(-14768/2499)
Simplify (a**(2/9)/(a*((a*(a/a**(2/13))/a)/a*a)/a*a))**(1/37) assuming a is positive.
a**(-190/4329)
Simplify (m**(-4/3)*m*m*m)**40 assuming m is positive.
m**(200/3)
Simplify ((d**0*d)/(d/(d*d/(d**(-1/11)*d))))/(d**(2/7)/d*d**(-1)) assuming d is positive.
d**(216/77)
Simplify (s**(2/5))**(1/13) assuming s is positive.
s**(2/65)
Simplify b**(3/11)*b**(-10) assuming b is positive.
b**(-107/11)
Simplify p**(7/3)/(p**(-18)*p*p) assuming p is positive.
p**(55/3)
Simplify (q**0/q**(-4))**3 assuming q is positive.
q**12
Simplify (y*y*y**(-2/35)*y*y)**(5/16) assuming y is positive.
y**(69/56)
Simplify ((y/(y*y**(4/11)/y))/((y*y/(y**(-2/19)/y)*y)/y))**(-1/7) assuming y is positive.
y**(516/1463)
Simplify (k*k*k**(-9)/k)/k**(-26) assuming k is positive.
k**18
Simplify t**(3/22)/(((t**(1/3)*t)/t)/t) assuming t is positive.
t**(53/66)
Simplify (t**7)**9 assuming t is positive.
t**63
Simplify ((l/l**(2/7))/l)**(-35) assuming l is positive.
l**10
Simplify i**(-13)*i**(3/5) assuming i is positive.
i**(-62/5)
Simplify (a**(-1))**(-2/9)/(((a*a*a**(-4))/a)/(a/((a/a**(-2)*a)/a*a))) assuming a is positive.
a**(2/9)
Simplify (u**(-27)*u)/(u/u**(-5)) assuming u is positive.
u**(-32)
Simplify (i*i*(i/(i**(-3)/i))/i*i)**31/(i**(1/3))**(4/13) assuming i is positive.
i**(8459/39)
Simplify s**(-1/27)*s/(s/(s*s**(-3))*s) assuming s is positive.
s**(-82/27)
Simplify (b**(6/7)*b**(-3))**(2/11) assuming b is positive.
b**(-30/77)
Simplify z**(-2/7)/z**(-20) assuming z is positive.
z**(138/7)
Simplify w**(5/4)/(w/(w/((w*w/w**20)/w)*w)) assuming w is positive.
w**(85/4)
Simplify ((u*u**6)/(u/(u**(3/8)/u)))/(u*(u/(u*u**(-1/5)/u*u))/u*u)**8 assuming u is positive.
u**(-169/40)
Simplify (g*g/((g**(2/5)*g)/g)*g*(g/((g**5/g)/g*g))/g)**(-13/3) assuming g is positive.
g**(91/15)
Simplify ((t**(-1/2)*t)/t)**(-1)*t/(t**0*t)*t/(t/(t/(t/(t/(t*t**(-5))))*t)) assuming t is positive.
t**(13/2)
Simplify r/(r*r/(r**4*r*r))*r**(-18) assuming r is positive.
r**(-13)
Simplify t**1/(t*t**(-5/4)/t)*t**3/t**(2/15) assuming t is positive.
t**(307/60)
Simplify (b*b**(-2/3)*b*b*b*b**(-12)*b)**15 assuming b is positive.
b**(-115)
Simplify ((s**2)**(-1/8))**(-25) assuming s is positive.
s**(25/4)
Simplify r**(6/7)*r/((r*r**(-8))/r)*r**(-1/2)/(r/(r/(r**(2/13)/r*r))) assuming r is positive.
r**(1675/182)
Simplify (x**12/x)/(((x*x*x/(x/(x**25*x))*x)/x)/x) assuming x is positive.
x**(-16)
Simplify (o*o**(-2))/o*o*o**9*o*o**(1/10)/o**(1/3) assuming o is positive.
o**(263/30)
Simplify x**(5/7)/((x*x**(20/9)/x)/x) assuming x is positive.
x**(-32/63)
Simplify m**(1/15)/m**8 assuming m is positive.
m**(-119/15)
Simplify (x/x**(2/7)*x)**(-12)*(x*x/x**(-3))/x**(-4) assuming x is positive.
x**(-81/7)
Simplify l/(l**(3/5)*l)*l*l/(l/(l/((l/(l*l/l**(-5)))/l*l)))*(l**(-1))**(3/5) assuming l is positive.
l**(34/5)
Simplify ((a/((a*a/(a*a*a*(a/a**(-11))/a))/a*a)*a*a)/a*a**7)**(-25) assuming a is positive.
a**(-525)
Simplify s**(-2/19)/s**(2/11) assuming s is positive.
s**(-60/209)
Simplify (d**(-7)*d)/(d*d/(d**(1/3)/d)*d)*d**(-2/7)*d/(d/(((d/d**5)/d)/d*d)) assuming d is positive.
d**(-314/21)
Simplify (s/(s/s**(7/4)))/s*s**(-5)*s assuming s is positive.
s**(-13/4)
Simplify p**20*p**(-2/41) assuming p is positive.
p**(818/41)
Simplify (y*y**(-1/11)/y*y**(-3/11))**3 assuming y is positive.
y**(-12/11)
Simplify (r/(r/r**(-1/2)*r))**(-15)*((((r/(r*r**(-4)/r))/r)/r)/r)/r**10 assuming r is positiv
|
{
"pile_set_name": "DM Mathematics"
}
|
f 42631, 85218, 127807, 170398, 212991?
q**2 + 42584*q + 46
What is the r'th term of -512655, -512813, -512957, -513081, -513179?
r**3 + r**2 - 168*r - 512489
What is the d'th term of -15426, -28417, -41422, -54447, -67498, -80581, -93702, -106867?
-d**3 - d**2 - 12981*d - 2443
What is the j'th term of 43511086, 43511088, 43511090, 43511092?
2*j + 43511084
What is the t'th term of -483909, -1935684, -4355297, -7742742, -12098013, -17421104?
t**3 - 483925*t**2 - 7*t + 22
What is the g'th term of -730, -5970, -20192, -47884, -93534, -161630, -256660?
-748*g**3 - 3*g**2 + 5*g + 16
What is the z'th term of 7124, 28629, 64456, 114593, 179028?
-2*z**3 + 7173*z**2 - 47
What is the y'th term of 72848, 291161, 655008, 1164383, 1819280, 2619693?
-y**3 + 72773*y**2 + y + 75
What is the s'th term of -15674, -62064, -139380, -247622, -386790, -556884?
-15463*s**2 - s - 210
What is the q'th term of -9407, -19413, -29421, -39431?
-q**2 - 10003*q + 597
What is the h'th term of 50975, 51150, 51323, 51494?
-h**2 + 178*h + 50798
What is the p'th term of 104661, 104652, 104639, 104622, 104601, 104576, 104547?
-2*p**2 - 3*p + 104666
What is the d'th term of 142, -265, -1328, -3371, -6718, -11693, -18620?
-54*d**3 - 4*d**2 - 17*d + 217
What is the n'th term of 2522, 8510, 17708, 30116?
1605*n**2 + 1173*n - 256
What is the y'th term of -29055939, -29055940, -29055941, -29055942, -29055943?
-y - 29055938
What is the l'th term of 8239, 16534, 25015, 33778, 42919, 52534, 62719, 73570?
16*l**3 - 3*l**2 + 8192*l + 34
What is the h'th term of 1272, 1348, 1534, 1878, 2428, 3232, 4338?
8*h**3 + 7*h**2 - h + 1258
What is the u'th term of -25533179, -25533180, -25533181, -25533182?
-u - 25533178
What is the w'th term of 50, 401, 1374, 3293, 6482, 11265, 17966?
54*w**3 - 13*w**2 + 12*w - 3
What is the q'th term of -4921, -10635, -16349?
-5714*q + 793
What is the p'th term of 56388, 112677, 168964, 225249, 281532, 337813, 394092?
-p**2 + 56292*p + 97
What is the b'th term of -356309, -730159, -1104021, -1477901, -1851805, -2225739?
-b**3 - 373843*b + 17535
What is the g'th term of 131, 664, 1637, 3098, 5095, 7676, 10889?
8*g**3 + 172*g**2 - 39*g - 10
What is the x'th term of 74649, 298601, 671855, 1194411, 1866269, 2687429?
74651*x**2 - x - 1
What is the w'th term of -13884045, -13884073, -13884087, -13884081, -13884049, -13883985?
w**3 + w**2 - 38*w - 13884009
What is the i'th term of -8515, -17028, -25557, -34114, -42711, -51360?
-2*i**3 + 4*i**2 - 8511*i - 6
What is the x'th term of -253201, -252814, -252427, -252040, -251653?
387*x - 253588
What is the g'th term of -26945279, -26945267, -26945243, -26945201, -26945135, -26945039, -26944907?
g**3 + 5*g - 26945285
What is the i'th term of 439898, 882412, 1324926?
442514*i - 2616
What is the a'th term of 1863, 3901, 6111, 8493, 11047, 13773?
86*a**2 + 1780*a - 3
What is the u'th term of 57932687, 57932695, 57932703, 57932711, 57932719?
8*u + 57932679
What is the b'th term of -30527881, -61055761, -91583641, -122111521, -152639401?
-30527880*b - 1
What is the x'th term of 517, 435, 277, 19, -363?
-4*x**3 - 14*x**2 - 12*x + 547
What is the f'th term of 11819, 48951, 110827, 197447, 308811, 444919?
12372*f**2 + 16*f - 569
What is the o'th term of -715992, -1431981, -2147968, -2863953?
o**2 - 715992*o - 1
What is the i'th term of -541, -398, -253, -106, 43?
i**2 + 140*i - 682
What is the x'th term of -10433, -42960, -97557, -174224, -272961, -393768, -536645?
-11035*x**2 + 578*x + 24
What is the k'th term of 10236, 11866, 13492, 15114, 16732, 18346, 19956?
-2*k**2 + 1636*k + 8602
What is the l'th term of 81432, 79359, 75902, 71061?
-692*l**2 + 3*l + 82121
What is the w'th term of -15313693, -15313694, -15313695?
-w - 15313692
What is the c'th term of -3611, -16081, -36867, -65969?
-4158*c**2 + 4*c + 543
What is the z'th term of -3510, -6919, -10336, -13761, -17194?
-4*z**2 - 3397*z - 109
What is the c'th term of -412625, -411987, -411349, -410711, -410073?
638*c - 413263
What is the g'th term of 3634, 29445, 99580, 236203, 461478?
3694*g**3 - 2*g**2 - 41*g - 17
What is the a'th term of -126, -623, -1434, -2535, -3902?
4*a**3 - 181*a**2 + 18*a + 33
What is the g'th term of -108, 87, 372, 747?
45*g**2 + 60*g - 213
What is the p'th term of 3086, 9511, 19274, 32375?
1669*p**2 + 1418*p - 1
What is the v'th term of -5478915, -10957784, -16436653, -21915522?
-5478869*v - 46
What is the h'th term of 472005, 3775957, 12743801, 30207483, 58998949, 101950145, 161893017?
471991*h**3 + 15*h - 1
What is the i'th term of -183979, -183804, -183629?
175*i - 184154
What is the y'th term of -937, -7541, -25549, -60691, -118697, -205297?
-955*y**3 + 28*y**2 - 3*y - 7
What is the v'th term of -85777, -171281, -256525, -341509?
130*v**2 - 85894*v - 13
What is the r'th term of 821, 943, 1149, 1439, 1813, 2271?
42*r**2 - 4*r + 783
What is the x'th term of 792, 2987, 6564, 11511, 17816, 25467?
-2*x**3 + 703*x**2 + 100*x - 9
What is the g'th term of 2750737, 5501596, 8252455?
2750859*g - 122
What is the f'th term of -1795, -7102, -15919, -28222, -43987, -63190, -85807, -111814?
4*f**3 - 1779*f**2 + 2*f - 22
What is the t'th term of 113728539, 113728548, 113728569, 113728608, 113728671, 113728764, 113728893?
t**3 + 2*t + 113728536
What is the v'th term of -526820, -527027, -527234, -527441, -527648?
-207*v - 526613
What is the d'th term of 19359, 38707, 58055, 77403?
19348*d + 11
What is the m'th term of -195257806, -195257803, -195257800, -195257797, -195257794, -195257791?
3*m - 195257809
What is the q'th term of 953834, 1907515, 2861196, 3814877, 4768558?
953681*q + 153
What is the y'th term of 459, 811, 1015, 1035, 835, 379?
-6*y**3 - 38*y**2 + 508*y - 5
What is the a'th term of -2062202, -2062213, -2062224, -2062235, -2062246?
-11*a - 2062191
What is the b'th term of 6284915, 12569817, 18854719?
6284902*b + 13
What is the n'th term of -61229, -61457, -61691, -61931, -62177, -62429, -62687?
-3*n**2 - 219*n - 61007
What is the m'th term of 398967921, 398967920, 398967919, 398967918, 398967917?
-m + 398967922
What is the o'th term of -4177, -33498, -113085, -268072, -523593?
-4189*o**3 + o**2 - o + 12
What is the c'th term of 11354250, 22708512, 34062774, 45417036?
11354262*c - 12
What is the s'th term of 99, 942, 2525, 4848, 7911, 11714, 16257?
370*s**2 - 267*s - 4
What is the d'th term of 14690, 10539, -730, -22675, -58854, -112825?
-593*d**3 - d**2 + 3*d + 15281
What is the s'th term of 534600, 534290, 533980?
-310*s + 534910
What is the a'th term of -551169, -2204941, -4961227, -8820027?
-551257*a**2 - a + 89
What is the r'th term of -4913343, -4913088, -4912663, -4912068, -4911303, -4910368, -4909263?
85*r**2 - 4913428
What is the q'th term of -7883, -8113, -8421, -8813, -9295?
-q**3 - 33*q**2 - 124*q - 7725
What is the j'th term of -654635, -1309236, -1963837, -2618438, -3273039?
-654601*j - 34
What is the l'th term of 4368, 5709, 7064, 8439, 9840, 11273, 12744, 14259?
l**3 + l**2 + 1331*l + 3035
What is the h'th term of -847741, -1695855, -2543969, -3392083, -4240197, -5088311?
-848114*h + 373
What is the f'th term of -47861, -47932, -48133, -48530, -49189, -50176, -51557, -53398?
-11*f**3 + f**2 + 3*f - 47854
What is the o'th term of -5289, -10374, -15263, -19962, -24477?
-o**3 + 104*o**2 - 5390*o - 2
What is the n'th term of 2819, 5550, 10075, 16400, 24531?
n**3 + 891*n**2 + 51*n + 1876
What is the o'th term of -802, -1250, -1342, -1078, -458, 518, 1850?
178*o**2 - 982*o + 2
What is the z'th term of 93078, 91649, 90220, 88791?
-1429*z + 94507
What is the b'th term of -1148, -2808, -4974, -7646, -10824?
-253*b**2 - 901*b + 6
What is the l'th term of 205220, 205219, 205218?
-l + 205221
What is the n'th term of 644637, 1289253, 1933869, 2578485, 3223101?
644616*n + 21
What is the f'th term of 610, 2678, 7542, 16600, 31250?
233*f**3 + 437*f - 60
What is the q'th term of 336419, 339601, 342783, 345965, 349147?
3182*q + 333237
What is the h'th term of 4102, 6710, 9306, 11890, 14462?
-6*h**2 + 2626*h + 1482
What is the h'th term of -18665, -37377, -56093, -74807, -93513, -112205, -130877?
h**3 - 8*h**2 - 18695*h + 37
What is the d'th term of 15306, 15276, 15254, 15252, 15282, 15356, 15486, 15684?
2*d**3 - 8*d**2 - 20*d + 15332
What is the d'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
allest value? (a) -4/3 (b) -736 (c) 2 (d) 3 (e) -4
b
Which is the fourth biggest value? (a) 1/3 (b) -4 (c) 1 (d) -2
b
What is the smallest value in -0.1, 2, -1, 16, -2/23?
-1
What is the second biggest value in 0, 121, 9?
9
What is the second smallest value in -0.1, 6/11, -52?
-0.1
What is the fourth smallest value in -1/7, -0.09, 2/9, 1/2, 82?
1/2
What is the third smallest value in 50, -1/2, 7/2?
50
Which is the third biggest value? (a) 5 (b) -6 (c) 0.2
b
Which is the smallest value? (a) 860 (b) -0.3 (c) -0.1
b
What is the fourth smallest value in -1.1, -3, 3, 0.3?
3
Which is the second biggest value? (a) -4 (b) -3/2 (c) 27
b
Which is the third smallest value? (a) 0.2 (b) -0.23 (c) 3
c
Which is the fifth smallest value? (a) 3/8 (b) -2 (c) 42/17 (d) 0.1 (e) -1
c
What is the smallest value in 0.5, 54, -1/4?
-1/4
What is the second smallest value in 0.1, 4/7, 0.2, -0.02?
0.1
Which is the smallest value? (a) -0.4 (b) 2/63 (c) 0.4
a
What is the smallest value in -1/4, -4, -3?
-4
What is the third smallest value in 2, 0.2, 1/16, 3, 2/5?
2/5
Which is the smallest value? (a) 0.1 (b) -2/17 (c) -3/7
c
What is the fourth biggest value in 0, -0.3, 1/5, 3/32?
-0.3
Which is the second biggest value? (a) -8 (b) -5 (c) 0.5 (d) -7/2
d
What is the second biggest value in 2, -0.3, -34?
-0.3
Which is the fourth smallest value? (a) 31 (b) -0.4 (c) -0.3 (d) 5
a
Which is the smallest value? (a) -5 (b) 323 (c) 5 (d) 2/17 (e) 14
a
What is the fourth smallest value in -4, -1, 0.3, -5, 232?
0.3
What is the third smallest value in 5, 2/9, -0.11, -5/8?
2/9
What is the fourth smallest value in -0.04, 0.5, -7, -19?
0.5
Which is the fourth biggest value? (a) 31.3 (b) -3 (c) 3 (d) 0.5 (e) 2
d
Which is the second smallest value? (a) -1 (b) 51 (c) 15
c
What is the second biggest value in -0.5, 0.2, -9, 5?
0.2
Which is the smallest value? (a) -0.2 (b) -2 (c) -4/7
b
Which is the biggest value? (a) -1/3 (b) 0.01 (c) 0.05 (d) -1/4
c
What is the third smallest value in 0.3, -1/3, 0.34?
0.34
Which is the second biggest value? (a) 0 (b) -94/7 (c) 2
a
What is the smallest value in 386, -3, 0.5?
-3
What is the third biggest value in 0.22, -2, 0, 0.12?
0
Which is the biggest value? (a) 6 (b) -9 (c) -34
a
Which is the third biggest value? (a) 25 (b) -2 (c) -14 (d) 0
b
What is the third smallest value in -0.13, -1/2, -1/10, 0?
-1/10
What is the third smallest value in 8, -2/223, 5, 1/4?
5
What is the fifth biggest value in -10/7, 3, 19, 0.2, 2/3?
-10/7
Which is the fourth biggest value? (a) -5.5 (b) 3 (c) -2/3 (d) 4 (e) -4
e
Which is the third smallest value? (a) -74 (b) -2 (c) 2/11
c
What is the second biggest value in -3, -2, 5, 4, -2/13?
4
Which is the biggest value? (a) 1/4 (b) 0.39 (c) -1
b
Which is the biggest value? (a) -0.28 (b) -0.4 (c) -4 (d) 1
d
What is the third smallest value in -197, 3, 13, 0.5?
3
Which is the fifth smallest value? (a) 0.4 (b) -3 (c) 0.2 (d) -105 (e) 0.19
a
What is the second smallest value in 0.3, 6698, -1?
0.3
What is the second smallest value in 4, -4, -2/13, -2, 3?
-2
What is the smallest value in 4, 3, 3/7, 0.257, 2/21?
2/21
What is the second biggest value in -1, -4, 0.61?
-1
Which is the second smallest value? (a) 3/7 (b) 0.08 (c) -0.22
b
What is the second biggest value in -28, 1, 2/15?
2/15
What is the second smallest value in 3/7, 4, 105?
4
Which is the biggest value? (a) -2 (b) 0.3 (c) 143 (d) 0 (e) -1
c
What is the third smallest value in -9/4, 5/2, -2/3?
5/2
What is the second biggest value in 2/3, -2, -0.5?
-0.5
What is the fourth biggest value in -5, -97, -2, 0?
-97
Which is the second smallest value? (a) 2 (b) -1 (c) -5/7 (d) 0
c
What is the fourth biggest value in -3/47, 2, 4, -31?
-31
What is the second biggest value in 4, 3, -2/15, -0.1, 44?
4
Which is the fourth biggest value? (a) 814 (b) -0.3 (c) -5 (d) 0.2
c
What is the biggest value in 0.2, 1/7, 0.07?
0.2
Which is the third smallest value? (a) -0.5 (b) 5/6 (c) 2/7 (d) 0.002
c
Which is the second smallest value? (a) 1 (b) 0.02 (c) 7/2 (d) 2/5 (e) -0.3
b
What is the biggest value in -0.5, -2/13, 0.0415?
0.0415
What is the third smallest value in 3, -0.3, -15/7, 1/2, 2/11?
2/11
Which is the biggest value? (a) 0.044 (b) -0.06 (c) 5
c
Which is the fourth biggest value? (a) 4 (b) 0 (c) -0.17 (d) 3 (e) -5
c
What is the second biggest value in -2/13, 3/2, 28?
3/2
What is the second biggest value in 1/2, -3316, -0.5?
-0.5
What is the third smallest value in -0.2, 2/9, 1/6, -5/2?
1/6
Which is the second biggest value? (a) 0.06 (b) -0.8 (c) -28/5 (d) 1
a
Which is the third biggest value? (a) -2/9 (b) 2447 (c) 5
a
Which is the third biggest value? (a) -7 (b) 0.8 (c) -2/3
a
Which is the third biggest value? (a) 5 (b) -4/7 (c) 0.5 (d) 2/11
d
What is the second smallest value in 12, -5, -6?
-5
What is the smallest value in -2, -0.2, -242.9?
-242.9
Which is the second smallest value? (a) -0.4 (b) 1 (c) -0.1 (d) 2/7
c
What is the biggest value in -5, -10, -1, 5?
5
What is the third biggest value in 0.5, 44/29, -2?
-2
What is the second smallest value in 1/4, 21.2, 4?
4
What is the second smallest value in 2/3, 1/4, 0.22, 5, 3?
1/4
What is the third smallest value in -17, -16, 0?
0
What is the biggest value in -4, -1, 0.53?
0.53
What is the fourth biggest value in 3/11, 0.5, -1/9, -0.3, -0.4?
-0.3
What is the fourth smallest value in 5, 1, 2/7, -19?
5
What is the second biggest value in -0.0675, 1, -1?
-0.0675
What is the fourth smallest value in -3/5, -2, 2, 83/6?
83/6
Which is the second smallest value? (a) -5 (b) 0.1 (c) -169 (d) 2/5
a
What is the second biggest value in -1, -3, -2/13, -32?
-1
Which is the second biggest value? (a) -0.2 (b) 9 (c) -31
a
Which is the biggest value? (a) -7440 (b) 0.1 (c) 0.3
c
What is the fifth biggest value in 2, -0.5, -0.2, 0.2, 3?
-0.5
What is the biggest value in -85, -0.5, -4/3?
-0.5
Which is the biggest value? (a) -0.0142 (b) 4 (c) 9
c
What is the third biggest value in 5, 4/9, 2/201?
2/201
Which is the biggest value? (a) -0.3 (b) 71.6 (c) -2 (d) 0.2 (e) -4
b
Which is the third biggest value? (a) -4/5 (b) -36 (c) -3.3
b
Which is the fifth biggest value? (a) 1/7 (b) -0.4 (c) -0.3 (d) 10 (e) 2
b
What is the third smallest value in -0.3, 362, -2, -4, -1?
-1
What is the third biggest value in 1/6, 238.6, 0.4, 0.5?
0.4
Which is the third biggest value? (a) -2/31 (b) 0.4 (c) -0.5
c
What is the biggest value in -0.9, 3, -3, 2/9?
3
Which is the fourth smallest value? (a) 6 (b) -4 (c) 2/15 (d) -0.3
a
Which is the smallest value? (a) -50 (b) 107 (c) -5/4
a
Which is the smallest value? (a) -4/7 (b) -1 (c) -55
c
Which is the second smallest value? (a) 0.3 (b) -2/3 (c) -0.406
c
What is the second biggest value in 1/3, 2575, -0.3?
1/3
Which is the second smallest value? (a) -4 (b) -0.3 (c) 1494
b
What is the second biggest value in -1, 2/7, -27, 2?
2/7
What is the second biggest value in -683, -2/9, -4/11?
-4/11
Which is the fourth biggest value? (a) -3/2 (b) -1/5 (c) -0.4 (d) -14.2
d
What is the biggest value in 1/17, -2, 4/5, -0.2?
4/5
What is the third smallest value in 1, -1/6, 2, 22/3?
2
Which is the biggest value? (a) -10/7 (b) 2/15 (c) 0.1
b
Which is the fourth smallest value? (a) 20 (b) 4 (c) 0 (d) -3/7
a
What is the second smallest value in -0.067, 2, 1/4?
1/4
What is the smallest value in 1, 1/2, -2/321, -0.5?
-0.5
What is the second biggest value in 247, 0.04, -2?
0.04
What is the smallest value in 3, 5, -170?
-170
What is the smallest value in 2, -10, 36?
-10
What is the smallest value in -5, -15, 2/45?
-15
What is the third biggest value in -97, -13, -1?
-97
Which is the fourth smallest value? (a) 3 (b) 0 (c) -0.4 (d) 0.1 (e) 1
e
Which is the smallest value? (a) -0.4 (b) 4 (c) 2.003
a
Which is the biggest value? (a) -5 (b) -1/12 (c) -4.53
b
What is the second smallest value in -3, -0.22, -9?
-3
Which is the fourth biggest value? (a) 3 (b) -0.06 (c) 15 (d) -1/2
d
What is the third smallest value in 4/9, -892, 2?
2
What is the third smallest value in 58.1, -5, -3?
58.1
Which is the third smallest value? (a) -4 (b) 5 (c) 1 (d) 0 (e) 3/299
e
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
0 + 25505 = -4*l + i for l.
4
Solve 0 = -4*v - 4*w + 44, -w = -415*v + 415*v - 12 for v.
-1
Solve -4*z + 80*f - 40 = 76*f, -2*f + 27 = 5*z for z.
1
Solve 5*o - 4*r + 40 = 0, -10 = 644*r - 646*r for o.
-4
Solve 0 = 2*a + 6*m, -7*m = -4*m + 3 for a.
3
Solve 3*a = 30*b - 34*b + 29, 2*a + 2*b = 16 for a.
3
Solve 31*p - 4*m = 55*p - 28*p + 8, -4*m = -12 for p.
5
Solve 39*i + d + 42 - 127 = 0, 5*i - d - 3 = 0 for i.
2
Solve -28*u + 46*u + 5*p = -82, 2*u = -3*p - 14 for u.
-4
Solve 4*j - 5 = 5*w, -2 = 4*w + 2 for j.
0
Solve 5*t + 15 = 0, 495*l + 3*t = 496*l - 16 for l.
7
Solve -t - 1086 + 1085 = 0, 2*t - 2 = -x for x.
4
Solve -4*t + 16 = -2*n - n, 3*n + 144767*t + 10 = 144765*t for n.
-4
Solve -d - 8 = -4*m, 98 = -5*m - 5*d + 83 for m.
1
Solve 3*b + 8*s - 36 = -s, 509*b - 510*b = -4*s + 16 for b.
0
Solve 195*t + 3*z - 186 = 0, 1644*z = -5*t + 1645*z + 8 for t.
1
Solve 4*l - 3*c - 27 = 0, 0 = -13*l + 9*l + 5*c + 21 for l.
9
Solve t - 4 + 12 = -3*b, 4*b + 12 = 0 for t.
1
Solve -9 = -4*c - g, -5*g + 9 = 220*c - 218*c for c.
2
Solve 99*j = 104*j + 138*z + 316, 3*j - z = -22 for j.
-8
Solve -88220*n - o - 6 = -88218*n, 0 = 2*n + 3*o + 2 for n.
-4
Solve -11*s + 8*s = -2*c + 16, -3*s + 8 = c for c.
8
Solve -10*d - 404*c + 403*c + 112 = 0, 5*c = -4*d + 54 for d.
11
Solve 2*i - 4*o - 54 + 30 = 0, -2*i + 7*o + 30 = 0 for i.
8
Solve -3*y = -2*k - 15, -3*k + 5*y - 1 = 24 for k.
0
Solve 4*w + y + 15 = 0, -4*w + 656*y - 652*y = 0 for w.
-3
Solve 442*f - 447*f - 70 = -5*v, 3 = 3*v for f.
-13
Solve 4*a = 10*l - 11*l + 3, a + 4*l = -3 for a.
1
Solve 6*p - 2*p + 9 - 1 = 2*m - 0*p, 0 = m + 2*p for m.
2
Solve 130*v - 120*v + 4 = -2*o, -3*o - 5*v = -14 for o.
8
Solve 5*u = p - 19, 968 = -24*u + 896 for p.
4
Solve -3*q = 42*g - 45*g - 1 - 5, 14*q = 70 for g.
3
Solve 0 = -4*c - 3*t - 493 + 475, 2*t + 1 = c for c.
-3
Solve 5*w + 5*r - 314 + 299 = 0, -w + 3*r - 1 = 0 for w.
2
Solve -16 = -10*u + x, -4*u - 5*x + 32 = 4 for u.
2
Solve 5*w - 39 = -g, -3*w + 16 = -4*g + 80 for w.
4
Solve -5*j - s = 1, 0*j - 14 = -2*j - 4*s for j.
-1
Solve t - 2*m = -13, -3*m + 768 = -m + 760 for t.
-5
Solve -175*o - 101 = -2*z - 166*o, 51 = -4*z - 5*o for z.
1
Solve -188786*x + 40 = -188783*x - 5*v, -5*x - 4*v + 5 = 0 for x.
5
Solve -2*y = -3*p + 3, 11*p + 5 = 16*p for y.
0
Solve d - 22 = -2*o - 9, 12 = -d + 3*o - 0 for d.
3
Solve -5 = -z - 796*m + 793*m, 4*z + 3*m = 2 for z.
-1
Solve -2*g = 3*s, 6*g - 8*g + 6*g + 2 = -5*s for g.
-3
Solve 242 = 24*c + 2*m, 4*m + 54 - 18 = 4*c for c.
10
Solve 40921*r - 40924*r - 5*s = 47, 5*r - 6*s = 22 for r.
-4
Solve -11*d - q - 61 = 7, -3*q = 3*d + 24 for d.
-6
Solve 2*m - 141 = -2*o - 155, -5*m - 26 = -4*o for o.
-1
Solve -4*l = 4*f + 32, 0 = 3*l + 4*f - 200 + 231 for l.
-1
Solve -5*s + u = -10, 2*s = -25089*u + 25090*u + 1 for s.
3
Solve -853*x = l - 848*x + 6, -1 = 2*l - x for l.
-1
Solve 520 = 5*u + 13*h + 305, -u = -3*h + 41 for u.
4
Solve 3*u - 15*m + 467 = 311, -u - 5*m + 58 = 0 for u.
3
Solve 2*d - n = 0, -d + 147*n = 142*n - 18 for d.
-2
Solve 0 = q - 3*l + 2, 2*l + 236 = q + 238 for q.
-2
Solve -4*a + 12 = -g, 110*g + 3 = 107*g + a for g.
0
Solve 5*v = -32*r + 36*r - 3, 0 = -3*r - 3*v + 9 for r.
2
Solve -f + 11*o - 10 = 16*o, o = -1 for f.
-5
Solve -4*t + 8 = -4671*w + 4667*w, t + 3 = -4*w for t.
1
Solve n = -4*x + 11, 2*x = -4*n - 65 + 95 for n.
7
Solve 0 = 2*s - 2*d - 18, -2*d + 112 = 3*s + 75 for s.
11
Solve 90*t = -3*c - 18, c + 3*c - 5*t = -24 for c.
-6
Solve -5*x + 17 = -3*q, 2*q + 4*x - 31 = -57 for q.
-9
Solve -4*y - 5*j = -6, 545*j = 4*y + 548*j - 2 for y.
-1
Solve -3*o = 2*n - 8, 5*o = 10*o + 2*n - 12 for o.
2
Solve 5*z + 8 = 7*z, -2*d + 44 = z - 20 for d.
30
Solve -8038*n + 8033*n - 21 = -4*h, -10 = 2*n for h.
-1
Solve -11 = 3*c + 4*t, 36*c - 2*t = 33*c - 17 for c.
-5
Solve 0 = -r - 5*c - 181 + 172, 4*c = -r - 7 for r.
1
Solve -5*q + 15 = -5*i, -2*i - 1750 + 1746 = -3*q for i.
-5
Solve 10*o - 13287 = 3*m - 13150, -2*m = 5*o - 72 for o.
14
Solve -8710*f + 8711*f = 5*q - 10, -q = -3*f - 2 for q.
2
Solve 31742*r + 23 = 31739*r - 8*y, 4*r = 5*y - 15 for r.
-5
Solve o = -2*h - 4, -4*o - 68*h + 71*h = 5 for o.
-2
Solve 2*s = 5*n + 30, -14*s + 18*s - 2*n - 28 = 0 for s.
5
Solve 5*z + 1441 - 1443 = 2*x, z + 22 = 6*x for z.
2
Solve -3*v - 138 + 106 = 17*s, 4*v + 24 = -4*s for s.
-1
Solve -5*k = -x - 0*x - 30, 0 = -314*k + 310*k - 4*x for k.
5
Solve 3 = -4197*b + 4196*b + 2*x, 0 = -5*b - 4*x + 27 for b.
3
Solve -898*u + 910*u + 5*g + 41 = 0, -12 = 3*u + 3*g for u.
-3
Solve n = 2*f + 10, -3*n - 3 = 554*f - 549*f for n.
4
Solve -2*j + z - 8 = 0, 7*z + 40 = -4*j + 3*z for j.
-6
Solve 5*c + 9 = -i, 2739*i = 3*c + 2737*i + 8 for c.
-2
Solve -14*o = -15*o - 5*f - 1, -4*f = -o - 28 for o.
-16
Solve -63 = 2*z + 3*p - 108, -3*p + 24 = -5*z for z.
3
Solve 41 = -15*f - 2*m, 250 = f + 5*m + 243 for f.
-3
Solve -17*l = -16*l + 2*p, 5*p - 1 = -3*l for l.
2
Solve -854*f + 861*f = -35, 0 = -2*l + 5*f + 37 for l.
6
Solve 5*n - 9 = r + 7, 3*n = 17 - 5 for r.
4
Solve -19*l + 17*l = -5*o - 17, 0 = 7*l + 5*o + 8 for l.
1
Solve 8*t = 13*t + 5*s - 30, -5*t = s + 2 for t.
-2
Solve -4*t - d + 2454 - 2356 = 0, 100 = 4*t + 2*d for t.
24
Solve -5 = 3*p + 4*q + 16, 12 = -486*q + 482*q for p.
-3
Solve -182*m + 30 = -180*m + 5*p, -m - 15 = -5*p for m.
5
Solve -15*m = 6*p - 37*m + 19*m + 24, 10*m = 4*p for p.
-5
Solve 2*h - 319 + 303 = 2*v, 0 = -4*v - 4*h for v.
-4
Solve -47*a - 4*t - 6 = -45*a, -2*t - 6 = 4*a for a.
-1
Solve o - 7 = -n, -o - 1573 + 1589 = 2*n for n.
9
Solve -5*t = -5*b - 15, -8*b + 231*t - 37 = 236*t for b.
-4
Solve 1665*j = 1668*j - 3*t + 12, 5*t - 4 = -3*j for j.
-2
Solve 0 = -4*z - 28, 0 = 4*a + 126*z - 124*z + 26 for a.
-3
Solve -y - 18 = -5*n, -52 = 7*y + 3*n - 2 for y.
-8
Solve x - 21 = -4*k, -109 - 79 = -x - 5*k - 163 for x.
5
Solve 7*d = 4*b + 77, 0 = d - 137*b + 136*b - 11 for d.
11
Solve 2*r - 54 = 3*x + 14*r, 4*x = 2*r + 18 for x.
2
Solve 4*x - 17 = 5*f, 42*x = 52*x - 3*f + 5 for x.
-2
Solve -a - 556 = -5*o - 561, 2*o + 2 = -3*a for a.
0
Solve 27*f - 24*f - 7 = 2*j, 4*j + 9 = f for f.
1
Solve 12*q - 198 = 3*y, 113*q - 117*q + 72 = -4*y for q.
16
Solve -3*r - 26 = 5*w, 0 = 4*w - 4*r - 253 + 261 for w.
-4
Solve 2*p + 60 = 6*f, 5*f + 351*p - 58 = 353*p for f.
2
Solve 1140*x = 1145*x - 2*d - 12, 17 = x - 15*d for x.
2
Solve -76*v + 38*v - 8 = q - 35*v, 2*q = 3*v + 2 for q.
-2
Solve q - 2*f = -11, 79*f = 37*f + 37*f for q.
-11
Solve k - 10 = 4*v, 5*v - 17 = 4*k - 46 for k.
6
Solve 2*g + 4 = r, -45 + 61 = 4*g + r for g.
2
Solve -24*x + 2*w = -26*x, w = 3*x - 12 for x.
3
Solve 2 = -3*r + 5*h, -5*r + 3 = 125907*h - 125909*h for r.
1
Solve 0 = 2*l - 2*j + 34, -328 + 303 = 2*l - 5*j for l.
-20
Solve -4*b - 20 = -3*l - 13, 25 = -3*l - 4*b for l.
-3
Solve 5*u = 4*t - 22898 + 22842, -2*t = 4*u + 50 for t.
-1
Solve 2*o - 32 = -34, -3*o + 9 = -4*n for n.
-3
Solve -4*f - 10124*w = -10128*w + 8, 0 = 5*f + 2*w - 11 for f.
1
Solve 126*h = -2*y + 129*h + 19, -7*h = -2*y + 31 for y.
5
Solve -5*z + 1460 = -6*q + 1445, -4*q = -2*z - 2 for q.
5
Solve 2053*h + 14 = n + 2056*h, 2*n - 5*h + 27 = 0 for n.
-1
Solve 3*a = c - 5, -8*a - 2*c = -7*a - 3 for a.
-1
Solve -43*t + 47*t + 5*y = 6, -13*t - 19 = -3*y for t.
-1
Solve 0 = -z + j + 12 - 7, 0 = 4*z - 5*j - 20 for z.
5
Solve -13*x - 4*j - 2 = -18*x, -42*x - j - 87 = 0 for x.
-2
Solve 3*f = -67*n + 70*n - 12, -10 = 5*n + f for n.
-1
Solve 13*i + 12 = 12*i + 2*m, 15 = -5*i + m for i.
-2
Solve -121*s = -112*s + 5*k + 10, 0 = -s + 4*k + 8 for s.
0
Solve 1 = -3*v + 2*q, 4*v + 907 = 3*q + 908 for v.
-5
Solve -39*j + 69 = 5*u - 41*j, -60 = -4*u + 4*j for u.
13
Solve 3*l = -2*m + 20, -m = -15*m - l + 60 for m.
4
Solve 168*x - 164*x = 2*v + 2, 0 = 2*x + 2*v + 2 for x.
0
Solve -5*b + 5 = -5*y, 0 = 13*b - 16*b - 3*y - 15 for b.
-2
Solve 0 = 5*y + z - 16, 31*y - 13 = 26*y + 2*z for y.
3
Solve 3*y + 35 - 28 = -q, 0 = -5*q + 25 for y.
-4
Solve -7*r - 4*b = 48, -2*r - 14*b - 2 = -16*b - 4 for r.
-4
Solve -3*o = 3*l - 1505 + 1544, -3*l + 3*o + 33 = 0 for l.
-1
Solve 4*k - 2252*q + 2250*q - 18 = 0, -15 = -4*k - q for k.
4
Solve -q - 3*h + 1 = 0, -2*q - 19*h + 15*h - 8 = 0 for q.
-14
Solve -i + 2*l - 6 = 0, -81*i + 77*i + 5*l - 9 = 0 for i.
4
Solve -j + 4*i - 31 = 0, 7*i + 29 = -5*j + 13*i for j.
5
Solve -4*a = 0, 14*t + 2*t - 12*t - 9 - 7 =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 10, 4*u + 5*t - 2 = -0 for u.
-2
Solve q - 5*t = -5 - 1, 3*q - t = 10 for q.
4
Solve -3*w = -4*v + 5, -5*w + 5*v - 15 = -3*w for w.
5
Solve 20 = -6*r + 7*r - 5*b, -3*b = 9 for r.
5
Solve 12*k - v = 17*k - 2, -5*v + 10 = -5*k for k.
0
Solve 5*w + 8 = -2*z, -20*w + 25*w + 10 = 0 for z.
1
Solve 4*o - 2*y = 20, 9 = 2*o - 3*o - 3*y for o.
3
Solve -m = 4*t - 13, -5*m - 1 + 26 = 0 for t.
2
Solve 3*h - 4*o + 4 = 0, -24 = -4*h - 0*h - 2*o for h.
4
Solve 8*u - 4*w + 37 = 3*u, 0 = -4*u + 3*w - 29 for u.
-5
Solve -2*l - 2*b - 10 = 0, 0 = -12*l + 16*l + 2*b + 22 for l.
-6
Solve 4*u - 2*n + 22 = 0, 2*n = -u - 3*u - 2 for u.
-3
Solve -2 = y + 5*n - 22, 4*y - 4*n = 8 for y.
5
Solve -k - 9 = -565*y + 563*y, 4*y - 5*k - 21 = 0 for y.
4
Solve -3*z - 2*w = -1 - 1, -4*z - 4 = w for z.
-2
Solve -4*w + u = 17, -4*w - 5 = -3*u + 14 for w.
-4
Solve 3*z - 31 = -5*r, 115*z + 17 = 5*r + 111*z for r.
5
Solve 0 = -2*x + 5*x - 6, -3 = -3*q + 3*x for q.
3
Solve p = 5*y + 3, -5*y - 4 = -y for p.
-2
Solve -5*p - x - 11 = -7*p, 4*p - 5*x = 37 for p.
3
Solve 2*j - 8 = 0, 5*c - 21 - 3 = -j for c.
4
Solve -1 = 2*q + x, 0*q + 4*x - 14 = -2*q for q.
-3
Solve -j = 5*d + 34, 2*j - 4*d + 65 - 81 = 0 for j.
-4
Solve 0 = -5*w - 25, -j + 5*w + 13 = 2*j for j.
-4
Solve -10*i = -12*i, 2*i = -2*d + 2 for d.
1
Solve 3 = s - n - 0, -3*s = 3*n + 21 for s.
-2
Solve -10*c - 5*v - 21 = -14*c, -v = -5*c for c.
-1
Solve 3*s - 3*b = -43 + 28, -5*s - 4*b + 20 = 0 for s.
0
Solve 0 = 5*f + 2*y + 3*y - 30, 4*f - 5*y = 15 for f.
5
Solve -3*c + 16 = 2*k, 4*c - k + 0*k = 14 for c.
4
Solve 0 = -15*f + 14*f + 4*j + 20, 0 = -4*f - j - 5 for f.
0
Solve 5*t = 8*t, b + 2*b + 12 = t for b.
-4
Solve 0 = -5*i - 2*d - 0*d - 5, -4*d + 1 = -i for i.
-1
Solve 0 = 3*p + 2*v + 1 + 7, 4*p + 4*v = -12 for p.
-2
Solve r = -5*m + 4, 4*r - 1 + 6 = m for m.
1
Solve 4*v + 4*n - 8 = 0, 3*n + 0 = -2*v + 2 for v.
4
Solve 3*q = 2*p + 3, -23 + 22 = -q + 2*p for q.
1
Solve 2*m - 3 = -5, 4*s - 2*m = -14 for s.
-4
Solve s = -2*c + 10, -25 = s - 2*s - 5*c for s.
0
Solve 10 = -0*n - 2*n, 0 = h + 3*n + 14 for h.
1
Solve a - 12 = -4*o - a, -5*a = -5*o + 30 for o.
4
Solve -2*v + v - 3*l - 12 = 0, 5*v + 2*l = 5 for v.
3
Solve 2*j = -2*u - 4, 2*u + 3 = j + 11 for u.
2
Solve 0 = 5*n + m - 7, 2*n + 5*m + 13 = n for n.
2
Solve 2*j + 12 = 3*a - 5*a, 0 = 3*a - 5*j - 14 for a.
-2
Solve 9 = 2*w - 3*h, -h = -4*w - 154 + 157 for w.
0
Solve q = t - 4, -q - 21 = -4*t - 2*q for t.
5
Solve v = 2*a + 3, -45*v = 2*a - 44*v + 1 for a.
-1
Solve 5*p - 7 = -5*k + 2*k, -16 = -3*k + 4*p for k.
4
Solve -u + 27*i - 23*i = -21, 4*u = i + 9 for u.
1
Solve 9*l + 3 = 10*l + 4*d, 3*l + 5 = -5*d for l.
-5
Solve 3*u - 5*g + 84 = 102, 11 = 2*u - 3*g for u.
1
Solve 4*h - b - 5 + 19 = 0, 0 = 3*h + b + 14 for h.
-4
Solve 4*w + 4*y + 14 = 6*y, -10 = 2*w + 2*y for w.
-4
Solve 4*y + g = 8, 6*g = 4*y + g - 32 for y.
3
Solve 0 = -4*p + 5*i + 17, 39*p - 42*p - 16 = 2*i for p.
-2
Solve 2*s - 4*x - x + 15 = 0, 0 = s - 2*x + 7 for s.
-5
Solve 0 = 2*l - 5*x - 28, l - 6*l - 2*x + 12 = 0 for l.
4
Solve 3*h + 0*q = 5*q + 22, 0 = -4*h - 5*q + 6 for h.
4
Solve 5*h + 10 = 5*o, 14*h - 16*h = 5*o - 3 for o.
1
Solve -4*w = 16, 5*w + 2 = 3*h - 3 for h.
-5
Solve 5*m + 4*a = -5 - 16, -3*m - 12 = 3*a for m.
-5
Solve 2*r + 3*y - 1 = 0, -3*r + 3*y = -7*r + 17 for r.
8
Solve -5*o = 5*c + 25, -16*c + 23 = -3*o - 21*c for o.
-1
Solve 7*l + 13 = 2*t, 0*l - 4*l = 5*t - 11 for t.
3
Solve 5*u - 2*y = 4*u - 9, 0 = -5*u - 2*y - 21 for u.
-5
Solve 3*p - 4*h - 17 = 0, 9*p - 13*p + 4*h + 20 = 0 for p.
3
Solve -5*j - 5*r - 5 = 0, -5*j = 8*r - 9*r + 17 for j.
-3
Solve -6*b + 3*b = 0, -3*v + 4*b = 0 for v.
0
Solve 134*h - 130*h - 17 = -3*a, -5*a + 5*h + 5 = 0 for a.
3
Solve 15*l - 20*l = 4*i - 9, l - 3*i - 17 = 0 for l.
5
Solve 4*j + 8 = b, b + 13 = 4*j - 7*j for b.
-4
Solve p + 3*s + 0 + 12 = 0, -4*p - 2*s + 2 = 0 for p.
3
Solve -4*m - 2 = -5*h - 0*h, -3*h = 2*m + 12 for h.
-2
Solve -4*g + 5*n - 2*n + 9 = 0, -4*g = 2*n + 6 for g.
0
Solve 0 = -4*s, s - 2*s - 10 = 2*w for w.
-5
Solve 5*q - 4*l - 7 = 0, -3*q + 3 = 10*l - 13*l for q.
3
Solve -4*n = 5*x - 43 - 2, -3*n = -x - 10 for x.
5
Solve -5*g + 9 = 4*h - 8, 4*h = 2*g + 10 for g.
1
Solve 2*p - 2*i = -6*i - 4, -3*p + i = 6 for p.
-2
Solve -v = -2*p - 6 - 4, -2*v - 10 = 2*p for v.
0
Solve 5*p - 3*y = 16, 0 = 2*p - 64*y + 65*y - 13 for p.
5
Solve -u + 26 = 5*j, 4*j - 44 = -0*u + 5*u for u.
-4
Solve -4 = 2*w + 3*x, w - 63 + 70 = -4*x for w.
1
Solve 0 = -3*y - 2*c + 3, 2*c = -9*y + 5*y + 4 for y.
1
Solve -9*q + 6*q + 4 = -h, -h + 2 = -q for h.
5
Solve -4*p + 29 - 5 = -4*j, 3*p + 10 = -4*j for j.
-4
Solve -4*u + 9 = z, 17*z - 4*u = 21*z for z.
-3
Solve -5*m + 51 = -5*z + 6, 5*m - 37 = 3*z for z.
-4
Solve -2*s + t = 2, 3*t + 11 = 3*s + 14 for s.
-1
Solve 0*p - p = 4*x - 3, -2 = 2*p + 4*x for p.
-5
Solve 5*s - 2*r - 17 = -13, -4*s = 3*r - 40 for s.
4
Solve 5*l = -5*b, -2*b - 25 = -3*l - 20 for l.
1
Solve -8*m + 5*v - 15 = -3*m, m = -5*v + 15 for m.
0
Solve 0 = -2*y - 4*b + 4, -2*y + 2 = 14*b - 11*b for y.
-2
Solve 2*i + 4*r + 16 = 0, i + 18 = -3*i - r for i.
-4
Solve -13 - 2 = -2*r + 3*o, 4*o + 20 = 4*r for r.
0
Solve 3*g = -5*m - 12, 2*m = 3*g - 8*g - 20 for g.
-4
Solve 3*m - 3 = 3*d, 36*m - 4*d + 24 = 39*m for m.
4
Solve -3*k + 8 = v, 3*k - 2 = -4*v + 6*k for v.
2
Solve -5*y + 4*y = 5, -11 = -2*s + 3*y for s.
-2
Solve -4*r + f = -6, -f + 2*f + 4 = 2*r for r.
1
Solve 0 = 4*c + 5*y - 0*y - 33, -5*y + 27 = c for c.
2
Solve -v + n = 8, 5*n = 4*v + 8*n + 11 for v.
-5
Solve 0 = y - 4*k + 19, -78*k = 4*y - 75*k for y.
-3
Solve -3 - 14 = 5*w + 3*j, w + 21 = -5*j for w.
-1
Solve z - 5*d = -d, d = -2*z for z.
0
Solve 4 = -3*p + 4*b + 39, 0 = -2*p - b + 5 for p.
5
Solve -15 = t + 5*n, n + 11 = -5*t + 8 for t.
0
Solve 4*a + 0*h + 8 = 4*h, 5*a = -2*h - 31 for a.
-5
Solve -8*x + 2*t = -4*x - 10, -4*t = 5*x - 19 for x.
3
Solve -9*b = -5*b + y - 12, b = -2*y - 4 for b.
4
Solve -62*k = -60*k - a + 1, -5*a + 25 = 0 for k.
2
Solve 8 = -4*q - 4*k, -2*q = 4*k + 3 + 5 for q.
0
Solve -3*m = -4*a - 8, -3*m + 15 = -5*a + 2 for a.
-5
Solve c + d + 13 = 4*c, -1 = c + d for c.
3
Solve 4*l = 0, -3*a + 162*l - 164*l = 3 for a.
-1
Solve 5*p + 35 = t + 4*t, -3*p + t = 17 for p.
-5
Solve -6*o = 4*x - o + 35, 2*o = -5*x - 31 for x.
-5
Solve 5*g - 5 = 5*d, -3 = 3*g - 15 for d.
3
Solve -4*m - d + 21 = 39, 5*d = 4*m + 30 for m.
-5
Solve -3*m = -2*f - 14, 17 = 4*m + 22*f - 23*f for m.
4
Solve 4*w - 11*d + 6*d - 13 = 0, 0 = 5*w - 5*d - 10 for w.
-3
Solve -5*v - 2*i = 12, -20 = 2*v + 7*i - 10*i for v.
-4
Solve 0 = -5*r, -y + 16*r - 13*r = 2 for y.
-2
Solve 0 = 2*n - m - 6, 3*n - 5*m + 0 - 9 = 0 for n.
3
Solve -4 = -0*v - 2*v, 4*v = b + 10 for b.
-2
Solve 5*s = -20, -12*g - 1 = -11*g - s for g.
-5
Solve 3*a + 0*a = -u, -5*a = -2*u for a.
0
Solve q + 10 = -3*i + 8*i, -2*q - 2*i + 4 = 0 for q.
0
Solve -20 = l - 0*l - 5*q, 2*l - 5*q + 25 = 0 for l.
-5
Solve -6 = 2*q + 2*d, 2*q = 16*d - 20*d - 6 for q.
-3
Solve n - 5*k + 5 - 22 = 0, 0 = 5*n + 5*k + 5 for n.
2
Solve -a = 2*r - 6, -17*a = 4*r - 19*a - 20 for r.
4
Solve 5*v + 53 = p + 41, p = -v - 6 for v.
-3
Solve l + g + 4 = 1, 4*g + 21 = 5*l for l.
1
Solve 3*k - 6 = -4*n + 10, -k = -4*n for k.
4
Solve 3*i + 2*g - 15 = 0, 4*g = 5*i + 2*g - 9 for i.
3
Solve -20 = -4*u - 5*v, -5*u + 4*v - 3*v = -25 for u.
5
Solve -7*i + 4*i = 4*r + 22, 3*r - 3*i = -6 for r.
-4
Solve 2*h - 3*x = 7, -1 - 10 = -h + 3*x for h.
-4
Solve 0*s + s + 3*n - 12 = 0, -2*s + 5*n = 31 for s.
-3
Solve -1 = -2*z - 3*u, 7*u = z + 4*u - 5 for z.
2
Solve -4*l - 14 = -0*l - 2*g, 3*g = 3*l + 15 for l.
-2
Solve -2*c = p - 6, 2*c - 2*p + 8 = 5*c for c.
4
Solve -4*m - 5*w = -11, -4*m + 3*w + 18 + 1 = 0 for m.
4
Solve 0 = 5*d - 2*d + 5*n + 21, -17 = d + 5*n for d.
-2
Solve -k - 5*n - 18 = 0, 5*k - 2*n = 3*k for k.
-3
Solve -28*h - 4*t - 15 = -25*h, 12 = 3*h - 5*t for h.
-1
Solve h + z - 2 = 0, 4*z + 3 = -3*h + 9 for h.
2
Solve 2*y - x - x = 2, -5*y - x - 25 = 0 for y.
-4
Solve 2*v - 6 + 2 = 3*m, -4*m + 2 = v for v.
2
Solve -l + 1 - 3 = 0, -6 = -2*j + 3*l for j.
0
Solve -8*o - f - 16 = -4*o, 0 = -f for o.
-4
Solve -3*m = 2*s + 11, 2*m - 3*m + s = 2 for m.
-3
Solve 5*c - 3*m + 3 - 4 = 0, 4*c - 4*m - 4 = 0 for c.
-1
Solve -28*c - 5*p = -24*c - 3, 2*p = c - 4 for c.
2
Solve 5*m - 4 = -4*y, 8*y - 4*y = m -
|
{
"pile_set_name": "DM Mathematics"
}
|
-g + 0*g + 8*r - 40 = 4*g + 7*r + 4*r for g.
-8
Solve 0 = -5*b - 3*r + 132, 8*b + b - 4*r + 0 = 247 for b.
27
Solve 3*v = 4*t - 96 + 19, 2071*v - 2076*v + 12*t - 235 = 0 for v.
1
Solve -219004*d = -219002*d - 8, -a = -6*d + 25 for a.
-1
Solve 270*r = -3*j + 265*r + 26, 5*j - 2*r = 2 for j.
2
Solve -10*j + 15*j = -5*o + 10*j - 40, -4*j + 18 = 10*o for o.
-1
Solve -j - 40*x + 45*x - 21 = 0, 123*x + 5 = 5*j + 120*x for j.
4
Solve 58 = -5*u - 3*j + 229, 0 = 4*u - 6*j - 162 for u.
36
Solve 2*p = -48, 15*k - 45*p = -44*p + 99 for k.
5
Solve 0 = 3*q + 15, -5*j - 24 - 29 + 118 = 22*q + 45 for j.
26
Solve 366*n = -5*v + 368*n - 19, v + 3*v = 3*n - 18 for v.
-3
Solve 9358*r + s - 11 = 9355*r, -2*r - 2*s + 0*s = -2 for r.
5
Solve 43 = -9*b + 4*r, 413498*r - 14 = 6*b + 413496*r for b.
5
Solve -3*c - 9 = 1785435*q - 1785438*q, 2*c - 71 = -9*q for c.
4
Solve 0 = 6*w + 2*n - 16, 0 = 2435511*w - 2435514*w + 3*n - 36 for w.
-1
Solve -17*a = -a - 8*t + 6*t + 344, 0 = -5*a + 5*t - 125 for a.
-21
Solve 9 = 5*w - 331*o + 330*o, -15 = w + 4*o for w.
1
Solve 0 = 2*b - 10*y + 6101 - 6023, -3*y + 50 = -2*b for b.
-19
Solve -4*b + 11*y - 458 + 144 = 0, -2*b - y + 38 = 0 for b.
4
Solve 4*n - 40*b - 223 = n, 0 = 4*n - b - 83 - 5 for n.
21
Solve 4*f + 97 = 85*s - 88*s, -f = 2*s + 68 for f.
2
Solve y + 9*n = 7*n - 24, -y = 4*n + 48 for y.
0
Solve -2279*k + 2 = -2286*k - 2*y, -3 = 3*k + y for k.
4
Solve g - 43 = -2*c, 292255 = -4*g + 292251 for c.
22
Solve -2*f = -d - 33, -5*f + 30*d - 4*d = 18*d - 55 for f.
19
Solve 4*c = -2*v + 104, -891*v - 175 = -895*v + 2*c + c for v.
46
Solve -2*d = -5*v + 1, -13*d - 230*v = -234*v - 79 for d.
7
Solve 24*q + 277 = 4*n + 1617, q - 4*n = -q - 0*q + 130 for q.
55
Solve 3*n - 6*a + 42 = 0, 169971*n + 3*a - 16 = 169975*n for n.
2
Solve -3*a = -3*c + 254851 - 254683, 296 = -5*a - 3*c for a.
-58
Solve 430 + 81 = 108*t - x, -6*t + 6*t + 145 = 5*x for t.
5
Solve 4*w - 18470 = 246*n, 3*w - 879 + 939 = -n for w.
5
Solve 4*l - 3*s - 28 = 0, -825*l = -828*l - 6*s - 78 for l.
-2
Solve 4*r = -6*q + 16, 2*q - 2*r + 9873 - 9865 = 0 for q.
0
Solve -7*t + 2*b = 109, -156*t - b - 13 = -315*t + 160*t for t.
-15
Solve s + 2*k = 7*k + 7, -50*s + 2*k = -8*s + 122 for s.
-3
Solve 2*n - 5*o - 19 = 0, -486*n - 30 = -471*n - 0*o + 2*o - 5*o for n.
-3
Solve -28967*n - 2*t = -28959*n - 54, -n + 2*t - 27 = 0 for n.
3
Solve 127 = -4*r + c, -3*r + 2367*c - 2372*c = 42 + 45 + 14 for r.
-32
Solve -2*w - 4*o = -34, -897*o + 9 = -900*o for w.
23
Solve 2*p - 4*s - 134 = 0, 0 = 151*p + 5*s + 8994 - 8366 for p.
-3
Solve -15*q - 6 + 58 = 3*a - 13*q, -3*q = -183*a + 2922 for a.
16
Solve 12*d = -48*m + 44*m - 284, -9*d - 3*m - 188 = -5*d for d.
-5
Solve -4*k - 4*o - 32 = 0, k - 12634*o - 12 = -12631*o for k.
-3
Solve 0 = 11*x - 103*h + 98*h + 21, 6*h - 6 - 6 = 0 for x.
-1
Solve -j + 105 = 3*j + 43*o + 276, -32 = -2*j + 2*o for j.
11
Solve -16*v - 3*q = -20*v - 23, -164 + 128 = -4*q for v.
1
Solve 0 = 9*c + s - 74, 9*c + s - 4*s + 13*s - 76 = 8*s for c.
8
Solve -17*p + 17 = -22*p - 4*f + 5, -8*p + 2*f = -11*p - f - 9 for p.
0
Solve -240*k + 234*k + 16 = -5*a, -a = -k + 3 for a.
-2
Solve 68*d - 735 = 2*b - 653, 164 = -4*b - d for b.
-41
Solve -134 = 60*i - 4*h + 66, -4*i - 2*h - 2 = 0 for i.
-3
Solve -180*u + 0 + 6 = -355*u + 171*u - 5*d, -u - 14*d - 27 = 0 for u.
1
Solve 6087579*c = f + 6087581*c - 17, 0 = -f - 5*c + 38 for f.
3
Solve 278*w - 272*w = -15*k - 258, 2*k = 4*w - 8 - 12 for w.
-3
Solve -3*m = -55*b - 232, 7*m + 0*m = 4*b + 6*m + 6*m - 4 for b.
-4
Solve 4*i + 7*q = 173, 17930*i - 15 = 17928*i + 4*q - 131 for i.
-4
Solve 0 = -6*j + 4*l - 8, -5111*l + 5108*l = -9*j + 12 for j.
4
Solve -76 = 4*z - 358*j + 343*j, 0 = 4*z - 2*j + 24 for z.
-4
Solve -9*x + 12*x + 5*o - 7*o + 19 = -24 + 49, -x = -4*x + 3*o for x.
6
Solve 95*u - 157*u - 3*z - 111 = -57*u, -u + 3*z + 111 = 0 for u.
0
Solve 0 = 16*v + 14*g + 19*g - 14*g + 76, 5*g = 3 - 23 for v.
0
Solve -200 = -5*f, 0*f - 1015365 = 2*b + 3*f + f - 1015533 for b.
4
Solve 20 = 3*i - 0*g - 7*g + 81, -2 = -i + 3*g - 27 for i.
-4
Solve o = 5*v + 15, 0 = 3198*v - 3198*v - 2*o + 40 for v.
1
Solve 147 - 227 + 110 = -3*v - 3*f, 6*v = v - f - 38 for v.
-7
Solve 4*u = -3*n + 8, u - 15*n = -4*n - 17*n + 44 for u.
-4
Solve -12 = o + 3*o + 2*c, -153*o - 47*o - 7*c = -2*c - 160 for o.
1
Solve 2*g + 3 = -9*o - 3, -174*g - 4*o - 61 = 179*g - 356*g for g.
15
Solve -337*g + 323*g + 4*h + h = -336, 0*g + 0*g = 2*h for g.
24
Solve w - 2*u = -23, 10*u - 290 + 181 = 3*w for w.
-3
Solve 4*s + 8 = -49*m, 34*s - 16*s - 13*s - m + 12 = 2 for s.
-2
Solve -4*t + 2*c = 18*t - 814 + 1604, -16*t + 2*c - 574 = 0 for t.
-36
Solve t + 9*a + 6402 = 4*a + 6432, -5*a - 30 = -5*t for t.
10
Solve -67*w + 42 + 8 = 60*w - 184*w + 67*w, -w - 1 = 4*m - 26 for m.
5
Solve -2*f + 11 = -9*l, -2*f - 1 = 16089*l - 16094*l for l.
-3
Solve 5*g + 2*w + 88 = 110, 2*g + 2*g - 75*w = g - 444 for g.
2
Solve 5*r + 36 = -3*u - 2, 4*r - 99 = -18*u - 457 for r.
5
Solve -18 = 5*c - 13*y - 60 - 14, 6*c - 26 = -5*y for c.
6
Solve -9*z + 5*n + 91 = 0, -2117115*n + 2117119*n = -3*z - 83 for z.
-1
Solve 10*f = 13*f + 5*a - 17, 7*f - 2*a + 6 = 2*f + 6*f for f.
4
Solve 14*d + 81 = 17*d - 2*w + 54, -4*w - 14 = 2*d for d.
5
Solve -5*m + 4*a = -11, 3*m - 5*a - 92 = -2*a - 86 for m.
3
Solve 0 = -3*w - 3*b + 78, 3*b + 14613 - 14691 = 0 for w.
0
Solve -4*r - 1111*j + 1117*j = -18, -1 = j for r.
3
Solve 4*a + k = -41, -1828*k + 1826*k - 31 = 2*a + 3 - 6 for a.
-9
Solve 0 = i + 3*i - 2*g - 8, -967*g = -2*i - 963*g + 22 for i.
-1
Solve 0 = 4*z + 3*g + 224 - 189, -130 = -2*z + 28*g for z.
-5
Solve s + t - 11 = -4*s + 11, -2162411*t + 2162408*t = -21 for s.
3
Solve 0 = -10*g - 5*b + 265, -3*b = 5*g - 8*b + 882 - 692 for g.
5
Solve -118232 = -2*v + 5*y - 118288, 0 = -3*v + 2*y - 84 for v.
-28
Solve -96*m + 3*w + 6216 = -19*m + 16*m, -3*m + 166 = -7*w for m.
67
Solve 4*s = 18*x + 66, -s + 101534*x - 101536*x - 16 = 0 for s.
-6
Solve 2*k + r = -3*r + 18, -76833*k + 2*r = -76828*k - 9 for k.
3
Solve 6 = 19512*n - 19511*n - 4*w, 0 = -n - 3*w - 15 for n.
-6
Solve 3*c - 55 = -2*c - 5*i, 346 - 335 = -8*c + i for c.
0
Solve 0 = -3*o + r + 71, -12*o + 2*r - 369 + 649 = 0 for o.
23
Solve 4*x + 25077*w - 12535*w - 12541*w - 186 = 0, w = -5*x + 232 for x.
46
Solve -5*z - 80 = 397*b - 402*b, 2*b + 52 = -2*z for z.
-21
Solve 5*j + 15 = -i - 9 - 5 + 8, j + 8*i = -246 for j.
2
Solve 3*l - 49 = -q, 48 = q + 11*l - 129 for q.
1
Solve -4*y - 102 = 7*n, -4*n + 6*y = 10*y + 75 + 33 for n.
2
Solve 2*n + 4*m + 3 = 1, n - 4*m + 100 = 49 + 56 for n.
1
Solve -2*h - 89 = -5*j, 231 = -5*j + 8*h + 302 for j.
19
Solve -16*s + 110 = 5*i + 6, 5*i + 36*s - 41*s - 20 = 0 for i.
8
Solve -4*x = -37*m + 73*m - 40*m + 6 - 2, x + 2*x - 125*m = 119 for x.
-2
Solve -a + 0*a - 453*v + 67 = -457*v, 2*a = 4*v + 62 for a.
-5
Solve 0 = -3*w - 11669*r + 11671*r - 12, -r = 28*w + 112 for w.
-4
Solve -39*a + 87*a - 2 - 52 = -5*x + 132, -4*x + 258 = 2*a for a.
-3
Solve -9*s + 5*v - 163 = 0, -6*s + 15*s + 147 = -5*v + 2*v for s.
-17
Solve t + 176*c + 2654 = -3*t + 4606, 5*t - 10 = c - 1 for t.
4
Solve 397*k - 393*k + 186 + 134 = 4*f, 4*f = 7*k + 557 for f.
1
Solve 0 = 4*x - 9*t - 77, -202530*t + 202526*t + 4 = -0*x + 3*x for x.
8
Solve 3*r - 22*x = -20*x - 39, -11*r - 48 = -x for r.
-3
Solve 4*k + 22*r + 86 = 0, 40 - 126 = -11*k + 4*r for k.
6
Solve 0 = -2*f - 5*t + 35, 48*f - 1605 = -5*t - 880 for f.
15
Solve -2*n - 262 = 5*w - 309, w + 9 = -5*n for w.
11
Solve 4*k + 0*r + 110 - 154 = -2*r, -k + 5*r + 3 = -19 for k.
12
Solve 34 = 4*j + 2*p, 9*j + 3*j + 41 = 17*j + 3*p for j.
10
Solve 0 = -3*b + 2*c + 5, 0*b - 5*b - 21 = -25*b + c for b.
1
Solve 24042*y = 6*p + 24037*y - 15, -p + y + 2 = 0 for p.
5
Solve 14*s + 4*s + 207 = h + 386, 5*h - 105*s + 1045 = 0 for h.
1
Solve 25948*u - 24 = -3*j + 25945*u, -5*u + 46 = 2*j for j.
-2
Solve 9*a + 4*h + 9 = 8*a - 2*a, a + 21*h = -62 for a.
1
Solve -i = 15, -93*j - 15 = -98*j + i for j.
0
Solve 5*c + 5*f = -20, -4*f + 17 = 152*c - 156*c - 23 for c.
-7
Solve -350*t + 2*u = -348*t + 24, -359*t - 3*u = 2860 for t.
-8
Solve 3*c - 22 = -9*o + 44, 5*c = 6*o + 26 for c.
10
Solve 0 = 2*q - 3*z + 8, 3*q + z + 4790396 - 4790395 = 0 for q.
-1
Solve 3*i - 5*n = -49, -54*i - 752 + 691 - 564 = 21*i - 5*n for i.
-8
Solve -10*o
|
{
"pile_set_name": "DM Mathematics"
}
|
and 111276.
33
What is the greatest common factor of 49 and 227577?
7
What is the greatest common divisor of 323 and 9979?
17
Calculate the highest common factor of 6300 and 1440.
180
What is the highest common divisor of 859 and 380537?
859
What is the highest common factor of 2000 and 2828000?
2000
What is the greatest common divisor of 60 and 158880?
60
Calculate the highest common factor of 18325 and 8063.
733
Calculate the greatest common factor of 2 and 182194.
2
What is the greatest common factor of 15252 and 153504?
492
Calculate the highest common factor of 2013488 and 1952.
976
What is the highest common factor of 19044 and 483?
69
What is the highest common divisor of 204 and 1568964?
204
What is the highest common factor of 451836 and 99?
99
Calculate the greatest common divisor of 22 and 24596.
22
What is the greatest common divisor of 65 and 6331?
13
Calculate the greatest common factor of 37674 and 3150.
126
Calculate the highest common divisor of 40782 and 84.
42
Calculate the highest common factor of 874 and 253.
23
Calculate the greatest common factor of 634176 and 192.
192
Calculate the greatest common divisor of 223317 and 8748.
243
Calculate the greatest common divisor of 1269099 and 13.
13
Calculate the highest common divisor of 5 and 565885.
5
Calculate the greatest common divisor of 47080 and 3520.
440
What is the greatest common factor of 650 and 395005?
65
What is the greatest common divisor of 459 and 969?
51
Calculate the highest common factor of 5299 and 364.
7
What is the highest common divisor of 42728 and 5880?
392
Calculate the highest common factor of 2017806 and 42.
42
Calculate the highest common factor of 80 and 10256.
16
What is the highest common divisor of 55545 and 210?
105
What is the greatest common divisor of 46019 and 187?
17
What is the highest common factor of 19370 and 570?
10
What is the greatest common factor of 38437 and 135337?
323
Calculate the highest common divisor of 11426 and 16351.
197
What is the highest common divisor of 306 and 279?
9
What is the greatest common divisor of 304322 and 59?
59
What is the highest common divisor of 560 and 235?
5
What is the highest common divisor of 191168 and 1160?
232
Calculate the highest common divisor of 124 and 49011.
31
What is the greatest common factor of 3 and 3543?
3
What is the highest common divisor of 32 and 1429072?
16
Calculate the highest common factor of 5 and 17143.
1
Calculate the greatest common factor of 3160 and 1147870.
790
Calculate the highest common divisor of 920 and 19872.
184
What is the greatest common divisor of 22 and 10563850?
22
What is the greatest common factor of 772257 and 705?
141
What is the highest common factor of 1362 and 5512468?
454
What is the highest common factor of 44429 and 5467?
77
What is the highest common divisor of 1417140 and 10?
10
Calculate the highest common divisor of 2 and 94835.
1
What is the highest common divisor of 12510 and 1800?
90
Calculate the highest common factor of 52630 and 20498.
554
What is the greatest common divisor of 81 and 19143?
27
Calculate the greatest common factor of 3612 and 36.
12
Calculate the greatest common divisor of 610 and 1173030.
610
What is the greatest common divisor of 36 and 596?
4
What is the greatest common factor of 243 and 69093?
81
Calculate the highest common factor of 105996 and 1387.
73
Calculate the highest common factor of 60 and 125340.
60
What is the highest common divisor of 39 and 15202707?
39
Calculate the highest common divisor of 3288 and 107408.
1096
Calculate the highest common divisor of 264 and 2984.
8
Calculate the highest common factor of 5643 and 759.
33
What is the highest common factor of 24 and 333936?
24
What is the greatest common divisor of 67171 and 1313?
13
Calculate the greatest common divisor of 2 and 84192.
2
Calculate the greatest common divisor of 6720 and 21.
21
What is the greatest common divisor of 32776 and 5288?
8
Calculate the highest common divisor of 5920828 and 68.
68
What is the greatest common divisor of 1134 and 111888?
378
Calculate the highest common factor of 68304 and 432.
48
Calculate the highest common divisor of 640 and 2362560.
320
Calculate the highest common factor of 438420 and 2.
2
Calculate the greatest common factor of 6 and 153126.
6
Calculate the highest common divisor of 37300 and 200.
100
What is the highest common factor of 25899 and 873?
291
Calculate the highest common divisor of 5315 and 155.
5
Calculate the greatest common divisor of 19765 and 48374.
67
What is the greatest common factor of 4254 and 6?
6
What is the highest common divisor of 5348994 and 798?
798
What is the highest common factor of 6475 and 39997?
37
Calculate the highest common factor of 27 and 41490.
9
Calculate the greatest common factor of 196 and 76391.
49
What is the greatest common factor of 25944 and 6016?
376
Calculate the greatest common divisor of 11944 and 136.
8
What is the greatest common divisor of 122590 and 520?
130
What is the greatest common divisor of 26 and 1302717?
13
Calculate the highest common divisor of 450 and 211250.
50
What is the highest common divisor of 2133370 and 10?
10
Calculate the greatest common factor of 221483 and 304.
19
What is the greatest common factor of 5328 and 14976?
144
What is the highest common factor of 1024462 and 892?
446
Calculate the greatest common divisor of 8 and 309480.
8
Calculate the greatest common factor of 628638 and 6.
6
Calculate the greatest common divisor of 211172 and 1426.
62
Calculate the greatest common divisor of 322590 and 5.
5
Calculate the highest common factor of 882 and 73962.
126
What is the greatest common factor of 5353 and 1961?
53
Calculate the greatest common factor of 88 and 2931742.
22
What is the highest common divisor of 3690 and 8241?
123
Calculate the highest common divisor of 16050 and 48.
6
What is the highest common factor of 395940 and 60?
60
Calculate the greatest common factor of 2412 and 203948.
268
Calculate the greatest common divisor of 1616065 and 220.
55
Calculate the greatest common divisor of 11 and 2041061.
11
Calculate the highest common divisor of 80 and 18160.
80
What is the greatest common divisor of 857 and 1690861?
857
What is the highest common divisor of 80 and 6928?
16
Calculate the greatest common divisor of 11663 and 66875.
107
Calculate the highest common divisor of 113040 and 75.
15
What is the highest common divisor of 1008 and 21483?
63
Calculate the greatest common divisor of 15 and 13074.
3
Calculate the highest common factor of 5745674 and 44.
22
What is the greatest common factor of 17405 and 25665?
295
Calculate the greatest common divisor of 6 and 3060042.
6
Calculate the highest common factor of 36738 and 3042.
234
What is the highest common factor of 8 and 176108?
4
Calculate the greatest common divisor of 326258 and 4.
2
What is the greatest common factor of 710 and 778870?
710
What is the highest common factor of 435 and 809274?
87
Calculate the highest common divisor of 660 and 4800.
60
Calculate the greatest common divisor of 70775 and 950.
475
Calculate the greatest common factor of 265367 and 4997.
263
What is the greatest common divisor of 1274 and 22834?
98
Calculate the highest common factor of 99 and 2853.
9
What is the highest common divisor of 37305 and 180?
45
Calculate the highest common factor of 7220 and 160.
20
Calculate the greatest common factor of 453392 and 48.
16
What is the highest common factor of 10744 and 5304?
136
What is the greatest common divisor of 229376 and 812?
28
What is the highest common factor of 4508387 and 482?
241
What is the highest common divisor of 28049 and 56?
7
Calculate the highest common divisor of 5325 and 480.
15
Calculate the greatest common factor of 21060 and 22680.
1620
Calculate the greatest common divisor of 29072 and 207.
23
What is the highest common divisor of 780 and 14115?
15
What is the highest common factor of 200 and 92?
4
Calculate the greatest common factor of 22 and 48862.
22
Calculate the highest common divisor of 2700 and 5238.
54
What is the greatest common factor of 306 and 4964238?
306
What is the greatest common divisor of 29928 and 2666?
86
What is the greatest common factor of 24862 and 157994?
802
Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-2, c, o
Let n = 22 + -21.9. Sort n, 7/3, -2 in increasing order.
-2, n, 7/3
Let w = -4 + 9. Let q = 5 - 8. Suppose -h + 24 - 20 = 0. Put h, w, q in ascending order.
q, h, w
Let a be (3*-7)/(7 - 6). Let m = a + 65/3. Put m, 0, -6 in descending order.
m, 0, -6
Let x(m) = m + 2. Let v(a) = a**3 - 6*a**2 - a + 6. Let z be v(6). Let k be x(z). Let p = 2.7 - 2.9. Sort p, -0.1, k in decreasing order.
k, -0.1, p
Let c(y) = 1. Let h(a) = -a - 2. Let n(s) = -3*c(s) - 4*h(s). Let p be n(-2). Sort 5, p, 2 in descending order.
5, 2, p
Let g be (6/4)/(6/8). Suppose 0 = -5*w + 2*j + 12, 0 = 3*w - g*w - 2*j + 4. Suppose -w*f = f. Sort 4, -4, f in increasing order.
-4, f, 4
Suppose -2 - 2 = 4*r. Let y be 6*r*2/(-4). Let d be (-2)/8 + 0 + 6/24. Put y, d, -4 in descending order.
y, d, -4
Let a = 25.9 - 26. Put -1, a, -2/3 in increasing order.
-1, -2/3, a
Let p = -7 + 11. Let d = 8 - p. Suppose 0 = -d*b + 4*m + 4, b + 3*b + 3 = -3*m. Put 5, b, 2 in increasing order.
b, 2, 5
Let u = 201 + -202. Let m be (-2)/(-4)*(0 + -6). Sort 4, m, u.
m, u, 4
Let f be ((-16)/(-6))/(2 + 8/(-6)). Let w(z) = 2*z + 4. Let a be 0/(-2) - (-1 - -5). Let o be w(a). Sort -2, o, f in decreasing order.
f, -2, o
Let v(z) = -3*z + 19. Let r be v(8). Let f = -12 + 9. Put f, -4, r in descending order.
f, -4, r
Let n = 2.4 + 2.1. Let m = n - -0.5. Put m, 0, 3 in increasing order.
0, 3, m
Let b = 16 + -11. Sort b, 0, 2 in descending order.
b, 2, 0
Suppose -o - 4 = 1. Let u(j) = j**3 + 6*j**2 + 7*j + 7. Let p be u(o). Let k = -162 + 813/5. Put k, p, -1 in ascending order.
p, -1, k
Let z(p) = p**3 + 2*p**2 - p + 4. Suppose b + 6 + 10 = -4*o, -4*o - 28 = 4*b. Let g be z(o). Put -4, g, -5 in increasing order.
-5, -4, g
Suppose 5*s + 2*p - 6*p = 2, -4*s = 2*p - 12. Suppose -s*r + 29 = -5*g + 13, 0 = -3*r - 4*g + 24. Let h be 18/r - (4 - 2). Sort -1/5, -4, h.
-4, -1/5, h
Suppose -10*m + 4*m + 12 = 0. Put m, -5, -4, 1 in descending order.
m, 1, -4, -5
Let q(c) = 4 + c - 6 + 8. Let w be q(-10). Let p = 9 - 6. Sort w, p, 2 in increasing order.
w, 2, p
Let y be 1 + (-2 - -4) - 2. Sort -1, 4, y in ascending order.
-1, y, 4
Let t = -4/9 - -53/18. Sort 2/9, 1, t in decreasing order.
t, 1, 2/9
Let c = -41 + 44. Suppose -2*b - 2 = -3*i + 2*i, -i + 5*b = -11. Let x be (-6 + 2)*2/i. Sort -5, x, c in decreasing order.
c, x, -5
Suppose 0 = 5*y + 3*b + 34, -1 - 7 = 4*y - 4*b. Let f = 17 - 18. Sort -2, f, y in decreasing order.
f, -2, y
Let k = 6 - 3. Let l(p) = p + 8. Let o be l(-6). Suppose -2*r = a + o, r + 4 = 4*a - 3*r. Put k, a, -4 in descending order.
k, a, -4
Let h = -1 - -3. Let m(f) = -2*f**2 - 30*f - 31. Let k be m(-14). Sort 0, h, k in ascending order.
k, 0, h
Let p be ((-2 - -4)*1)/((-2)/(-4)). Let t(u) be the first derivative of u**2/2 - 5*u + 1. Let d be t(5). Put d, -2, p in descending order.
p, d, -2
Let d = -62.1 + 62. Sort d, -1, -0.5 in descending order.
d, -0.5, -1
Let k be 2/6 - 17/15. Let i = 111 - 110.6. Sort -0.4, k, i in descending order.
i, -0.4, k
Let p = -7.92 - -8. Let w = 0.92 + p. Sort w, 1/4, -1/3 in decreasing order.
w, 1/4, -1/3
Let a = -26 + 209/8. Let b = 0.11 - -4.89. Put a, 0, b in descending order.
b, a, 0
Suppose 0 = 4*l + 21 - 93. Suppose -l = -t - 2*t. Suppose 0 - t = -2*m. Sort 4, -3, m in decreasing order.
4, m, -3
Suppose 3*w + 3 - 15 = 0. Sort 5, 1, w in ascending order.
1, w, 5
Let w = 1/4 + 3/20. Put -3, -2, w in ascending order.
-3, -2, w
Let n(z) = -z. Let s be n(4). Suppose 0*o + 1 = -o. Put s, 1, o in descending order.
1, o, s
Suppose 4*o - 30 = -2*n, -2*o - 15 = -9*n + 4*n. Sort 0, o, 10 in decreasing order.
10, o, 0
Let b = -0.04 - 0.06. Let v = 2.1 + b. Let i be 13/6 - 2/1. Put v, -3, i in decreasing order.
v, i, -3
Let o = -8 - -6. Suppose -4*v = 3*s + 3 - 2, -s - 7 = -2*v. Put v, o, -4 in increasing order.
-4, o, v
Let s = -38/15 + -1501/15. Suppose -2*g = 202 + 2. Let b = g - s. Sort 0.5, b, -3/4 in descending order.
b, 0.5, -3/4
Let x = 2 + 1. Let o = -9 + x. Let f = -1 - o. Sort -0.4, 0.2, f in ascending order.
-0.4, 0.2, f
Let k be (-91)/(-14) + (-3)/(-6). Put 4, 5, k in increasing order.
4, 5, k
Suppose 5*h - h - 4 = 0. Put -5, 0, h in increasing order.
-5, 0, h
Let q = -5.11 - -0.11. Let x = 0.025 - 2.125. Let l = -0.1 - x. Put l, q, -3 in decreasing order.
l, -3, q
Suppose 2*u - 9 = v, -2*u + 5 = -3*v - 2. Put v, -2, -3 in descending order.
v, -2, -3
Let v = 7/4 + -13/12. Let z = 2/261 + -791/1044. Sort v, z, -2 in decreasing order.
v, z, -2
Let n = 0.19 - 0.55. Let l = 0.04 - n. Let v = 0.1 - -0.1. Put 3, v, l in ascending order.
v, l, 3
Let g(b) = b**3 - 5*b**2 + 4*b - 4. Let k(h) = -h**3 + 2*h**2 + 4*h + 1. Let a be k(3). Let s be g(a). Sort 3, s, -3 in ascending order.
s, -3, 3
Let q(r) = 2*r**2 - 5*r - 4. Let c be q(4). Let h = c - 4. Suppose -2*a + m + 13 = 0, h*a - 2*a + 5*m + 5 = 0. Sort -1, a, 3 in increasing order.
-1, 3, a
Let c(s) = -s**2 + 9*s - 17. Let z be c(6). Sort z, -5, -1 in decreasing order.
z, -1, -5
Let y(x) = 4*x**3 + 2*x**2 - 5*x**3 + x + 0*x. Suppose 0 = 4*l - 2 + 6. Let g be y(l). Sort 3, -5, g.
-5, g, 3
Let r be 171/(-12) + (6/8)/(-1). Sort 5, -2, r, 2 in increasing order.
r, -2, 2, 5
Let y = -76.7 + 73. Let v = -0.4 - 3.6. Let u = v - y. Sort u, -1, 5/6 in decreasing order.
5/6, u, -1
Let n be 4/(-18) - (-2)/9. Suppose n = 4*y - 2 + 22. Suppose -39*r + 34*r - 20 = 0. Sort y, 5, r in ascending order.
y, r, 5
Let p be (128/20)/(1/5). Let w be -1 - 4/(p/(-11)). Sort -0.3, -2, w.
-2, -0.3, w
Let n(y) = y**3 - y**2 - 3*y + 2. Let q be n(2). Suppose 2*k = -q*k. Suppose -v + k = 4. Put -3, v, 4 in descending order.
4, -3, v
Let w = -155/3 + 49. Let v = 35/12 + w. Let h = -1 - -1. Put v, 0.5, h in decreasing order.
0.5, v, h
Suppose 0 = 5*w + 2*p + 4, 5*w = 2*w - p - 3. Suppose -2*r - 5*k = -41, 2*r + 2*k - 88 + 32 = 0. Let u = r - 29. Sort 5, u, w in ascending order.
w, u, 5
Let m = 35 - 25. Let u(g) = -g + 14. Let r be u(m). Let v(y) = y**3 - 6*y**2 + y - 5. Let q be v(6). Sort r, q, -5 in decreasing order.
r, q, -5
Let h be (-1 - -4) + 16078/(-5360). Let d = h - 151/670. Let q = d + -3/8. Sort -5, 0.1, q.
-5, q, 0.1
Suppose -4*p = -2*y - 0 - 8, 0 = -3*p. Let s = 0.08 - 1.08. Let k be 11/10 + (-15)/25. Put y, k, s in increasing order.
y, s, k
Let v = -35/11 - -3. Put -4, v, -3 in decreasing order.
v, -3, -4
Suppose 1 - 5 = o. Suppose 0 = 3*t - 3 - 12. Let q = -4 + 8. Sort o, q, t in ascending order.
o, q, t
Let v = 0.7 + 3.3. Put -2/15, 0.2, v in decreasing order.
v, 0.2, -2/15
Let l be -2 - (-9 + (2 - 0)). Suppose -30 = -l*r - 10. Put -1, -6, r in decreasing order.
r, -1, -6
Suppose 5*r - 4*h - 26 = 0, -4*h + 23 = 3*r + h. Let a = r - 3. Suppose 0 = -3*x - 6 - a. Sort x, 0, 1 in decreasing order.
1, 0, x
Suppose 0 = 2*o - 5*o + 6. Let p be o/(-6) - 1/(-3). Suppose 5*d = 5*a - 10, d = 4*a - 6 - 2. Put p, 3, a in increasing order.
p, a, 3
Suppose p = -2*p - 9. Let g be p*(3 + (-14)/(-48)). Let b = 41/4 + g. Put b, 0.5, 0 in ascending order.
0, b, 0.5
Let x = 1 - -9. Suppose 2*p + 2*g - 7 - 9 = 0, 5*g - x = p. Let j = -14 + 9. Put p, 2, j in decreasing order.
p, 2, j
Let o be (-2 + 1)/(0 + 1). Let y be ((-9)/(-18))/(o/(-4)). Let l = 1 - 1. Sort l, 4, y in decreasing order.
4, y, l
Let x = 4 - -3. Suppose 4*z = x*z + 12. Let o = -9 - -9.2. Sort o, z, -0.2 in ascending order.
z, -0.2, o
Suppose 34 = 5*a - 1. Let b = a + -2. Sort -4, 1, b in descending order.
b, 1, -4
Let c = -25 - -24. Sort 3, 5, -5, c in increasing order.
-5, c, 3, 5
Let b be (-1)/(-2 - (-27)/15). Let w = -3 + b. Let g be (1*(-3 - -2))/(-1). Put g, 5, w in increasing order.
g, w, 5
Let w be (-9)/15*(-2 - (-16)/6). Put 0.4, -2/11, w, 3 in descending order.
3, 0.4, -2/11, w
Let i = -6 - -6. Let m = i + -1. Sort 0.3, m, 4.
m, 0.3, 4
Suppose 0 = -g - 2*g + 3*t - 12, 0 = -g - 3*t - 8. Sort g, 2/5, 3, 6/7 in decreasing order.
3, 6/7, 2/5, g
Suppose -y + 14 = 3*u, 3*u + 5*y = 2*u - 14. Let a = -10 + u. Let p = -4 + 7. Sort p, -2, a in descending order.
p, -2, a
Suppose 5*p = -6*n + 2*n - 1, -4*n + p + 5 = 0. Let g be 4/(-2) + n - 0. Suppose 5*i = -2*d + 1, 4*i - 26 = -3*d - 21. Sort g, d, 2 in decreasing order.
d, 2, g
Let p = -11 - -6. Let d = p - -11. Let k = 6 - d. Put 0.4, k, 4 in descending order.
4, 0.4, k
Let m be 8 + -9 + (-3)/(-5). Put -0.3, m, -4/7 in dec
|
{
"pile_set_name": "DM Mathematics"
}
|
of 13515?
False
Is 23 a factor of 506?
True
Does 106 divide 1953?
False
Is 13090 a multiple of 69?
False
Does 14 divide 26869?
False
Does 326 divide 31804?
False
Does 16 divide 22949?
False
Is 37532 a multiple of 11?
True
Is 652 a multiple of 163?
True
Does 9 divide 125?
False
Does 18 divide 9954?
True
Is 29487 a multiple of 176?
False
Is 482 a multiple of 241?
True
Is 47 a factor of 2866?
False
Is 45 a multiple of 15?
True
Does 5 divide 1565?
True
Is 39 a factor of 234?
True
Is 759 a multiple of 11?
True
Does 43 divide 517?
False
Is 8 a factor of 21696?
True
Does 24 divide 78266?
False
Is 6 a factor of 600?
True
Is 54 a factor of 60765?
False
Does 9 divide 855?
True
Is 520 a multiple of 40?
True
Is 9 a factor of 7906?
False
Is 20 a factor of 1840?
True
Is 338 a factor of 37655?
False
Is 53 a factor of 6678?
True
Does 11 divide 5806?
False
Is 72 a multiple of 3?
True
Does 208 divide 8320?
True
Is 134 a factor of 13066?
False
Does 24 divide 524?
False
Does 13 divide 1300?
True
Does 48 divide 8109?
False
Is 236 a multiple of 2?
True
Is 20247 a multiple of 27?
False
Does 17 divide 27285?
True
Is 8 a factor of 408?
True
Is 28 a factor of 1428?
True
Does 12 divide 1149?
False
Is 8 a factor of 3005?
False
Is 25 a factor of 696?
False
Does 7 divide 280?
True
Does 25 divide 266?
False
Is 333 a multiple of 9?
True
Does 78 divide 384?
False
Is 1159 a multiple of 70?
False
Is 4 a factor of 11737?
False
Is 2116 a multiple of 23?
True
Does 7 divide 3555?
False
Is 609 a multiple of 22?
False
Is 12 a factor of 97?
False
Is 534 a multiple of 75?
False
Is 138 a multiple of 14?
False
Is 27 a factor of 1701?
True
Is 5786 a multiple of 7?
False
Is 43 a factor of 2021?
True
Is 8 a factor of 64715?
False
Is 88 a factor of 4625?
False
Does 12 divide 1197?
False
Does 17 divide 1615?
True
Does 21 divide 19294?
False
Does 73 divide 1660?
False
Is 13583 a multiple of 24?
False
Does 48 divide 912?
True
Is 12 a factor of 1104?
True
Is 25 a factor of 1650?
True
Is 3 a factor of 2940?
True
Is 105400 a multiple of 155?
True
Is 13 a factor of 227?
False
Is 9231 a multiple of 17?
True
Does 39 divide 455?
False
Is 44862 a multiple of 9?
False
Is 68 a factor of 4964?
True
Is 1749 a multiple of 11?
True
Is 23 a factor of 15071?
False
Is 660 a multiple of 15?
True
Is 4 a factor of 1191?
False
Does 2 divide 295?
False
Is 12 a factor of 5220?
True
Is 61 a factor of 2745?
True
Is 25 a factor of 10396?
False
Is 351 a multiple of 19?
False
Is 55 a factor of 6957?
False
Is 31 a multiple of 2?
False
Is 25 a factor of 133123?
False
Does 303 divide 909?
True
Is 13 a factor of 16867?
False
Is 28 a factor of 833?
False
Is 15 a factor of 99120?
True
Is 145 a multiple of 12?
False
Does 49 divide 147?
True
Does 22 divide 1826?
True
Is 82 a multiple of 2?
True
Is 3 a factor of 38384?
False
Is 12 a factor of 1276?
False
Does 15 divide 3120?
True
Does 12 divide 2866?
False
Is 101750 a multiple of 25?
True
Does 28 divide 46234?
False
Is 10 a factor of 16783?
False
Is 22163 a multiple of 37?
True
Does 25 divide 643?
False
Is 5 a factor of 291?
False
Is 342 a multiple of 18?
True
Is 44 a factor of 220?
True
Is 10 a factor of 22503?
False
Does 143 divide 20735?
True
Is 106 a factor of 14100?
False
Is 10 a factor of 5770?
True
Is 3145 a multiple of 37?
True
Is 2207 a multiple of 4?
False
Is 16 a factor of 4544?
True
Is 33961 a multiple of 24?
False
Does 11 divide 1449?
False
Is 4 a factor of 187?
False
Is 2075 a multiple of 5?
True
Is 4788 a multiple of 14?
True
Is 23 a factor of 230?
True
Does 9 divide 1455?
False
Is 227 a factor of 29633?
False
Does 139 divide 11676?
True
Does 4 divide 635?
False
Is 33 a factor of 10791?
True
Does 16 divide 3367?
False
Is 46701 a multiple of 86?
False
Is 7 a factor of 128?
False
Is 26 a factor of 52?
True
Is 3202 a multiple of 108?
False
Does 46 divide 2688?
False
Is 2458 a multiple of 31?
False
Is 41 a factor of 21066?
False
Is 983 a multiple of 19?
False
Is 68 a factor of 204?
True
Is 27 a factor of 4266?
True
Is 34 a factor of 306?
True
Is 717 a multiple of 17?
False
Is 11 a factor of 1338?
False
Does 47 divide 3384?
True
Is 83 a factor of 7138?
True
Does 27 divide 5535?
True
Is 68 a factor of 1457?
False
Does 17 divide 2380?
True
Is 256 a multiple of 4?
True
Does 17 divide 340?
True
Does 170 divide 60520?
True
Does 21 divide 1176?
True
Is 170 a factor of 14301?
False
Is 15 a factor of 64290?
True
Does 86 divide 95976?
True
Is 4 a factor of 299?
False
Is 13 a factor of 3337?
False
Is 1094 a multiple of 9?
False
Is 39 a factor of 897?
True
Is 16 a factor of 5640?
False
Is 1617 a multiple of 11?
True
Is 12 a factor of 792?
True
Does 106 divide 3286?
True
Is 10 a factor of 60?
True
Does 209 divide 33440?
True
Is 81 a multiple of 9?
True
Does 85 divide 978?
False
Is 1763 a multiple of 43?
True
Does 7 divide 27?
False
Does 17 divide 19417?
False
Is 1010 a multiple of 5?
True
Is 18 a factor of 1659?
False
Is 76 a factor of 380?
True
Does 27 divide 275?
False
Is 23 a factor of 2001?
True
Is 11 a factor of 231?
True
Does 21 divide 977?
False
Does 56 divide 1120?
True
Is 12 a factor of 143?
False
Does 63 divide 24885?
True
Is 5346 a multiple of 36?
False
Is 3346 a multiple of 21?
False
Is 37 a factor of 481?
True
Is 56 a factor of 5432?
True
Is 13 a factor of 26?
True
Is 92 a factor of 1399?
False
Does 34 divide 24819?
False
Is 51 a factor of 26767?
False
Is 2 a factor of 5767?
False
Is 11 a factor of 363?
True
Is 4 a factor of 285?
False
Does 12 divide 5256?
True
Is 64 even?
True
Is 4712 a multiple of 6?
False
Is 5 a factor of 80?
True
Is 17 a factor of 2244?
True
Is 21 a factor of 357?
True
Does 16 divide 1376?
True
Does 8 divide 82?
False
Does 52 divide 941?
False
Is 21 a factor of 42?
True
Is 22 a factor of 660?
True
Is 24 a factor of 1712?
False
Is 9 a factor of 6363?
True
Does 5 divide 258?
False
Does 20 divide 587?
False
Is 23 a factor of 184?
True
Does 5 divide 429?
False
Is 105485 a multiple of 25?
False
Is 4789 a multiple of 84?
False
Does 4 divide 2572?
True
Is 607 a multiple of 14?
False
Is 33 a factor of 4521?
True
Is 3 a factor of 1317?
True
Is 22 a factor of 1506?
False
Is 37 a factor of 441?
False
Does 33 divide 5503?
False
Is 12 a factor of 90209?
False
Is 7 a factor of 1341?
False
Is 7 a multiple of 4?
False
Is 51987 a multiple of 93?
True
Is 10 a factor of 590?
True
Is 1119 a multiple of 51?
False
Is 7 a factor of 805?
True
Is 3 a factor of 141?
True
Is 58 a factor of 13688?
True
Is 65 a factor of 4307?
False
Is 35 a factor of 630?
True
Does 26 divide 3432?
True
Is 36 a factor of 8964?
True
Is 11 a factor of 1310?
False
Does 5 divide 1156?
False
Is 2589 a multiple of 54?
False
Is 18 a factor of 2718?
True
Is 1359 a multiple of 27?
False
Is 8 a factor of 8969?
False
Is 15 a factor of 4110?
True
Does 26 divide 1482?
True
Does 20 divide 33820?
True
Does 14 divide 3514?
True
Does 19 divide 27151?
True
Is 18 a factor of 1620?
True
Does 9 divide 1278?
True
Is 74764 a multiple of 33?
False
Is 42 a factor of 462?
True
Does 21 divide 30880?
False
Is 40568 a multiple of 8?
True
Does 58 divide 1044?
True
Is 1066 a multiple of 11?
False
Is 119647 a multiple of 286?
False
Does 8 divide 427?
False
Is 13 a factor of 173?
False
Is 225 a multiple of 15?
True
Is 21863 a multiple of 30?
False
Does 27 divide 2386?
False
Does 43 divide 1946?
False
Is 30 a factor of 3852?
False
Is 4 a factor of 75?
False
Is 20 a factor of 11712?
False
Is 37 a factor of 1761?
False
Is 14 a factor of 14406?
True
Does 20 divide 240?
True
Is 18285 a multiple of 12?
False
Is 1914 a multiple of 33?
True
Does 26 divide 260?
True
Does 34 divide 2773?
False
Is 18 a factor of 159?
False
Is 10 a factor of 3221?
False
Does 11 divide 9164?
False
Is 7 a factor of 16467?
False
Does 22 divide 2618?
True
Is 20 a factor of 1856?
False
Is 22 a factor of 506?
True
Is 8 a factor of 2842?
False
Is 630 a multiple of 15?
True
Is 28 a factor of 8565?
False
Is 174 a factor of 12876?
True
Is 48 a factor of 129?
False
Is 8 a factor of 1624?
True
Is 5 a factor of 20530?
True
Is 3 a factor of 1888?
False
Does 5 divide 97?
False
Is 14 a factor of 2002?
True
Is 540 a multiple of 90?
True
Is 9 a factor of 927?
True
Is 55 a factor of 28068?
False
Is 4 a factor of 30000?
True
Does 39 divide 1209?
True
Does 42 divide 10228
|
{
"pile_set_name": "DM Mathematics"
}
|
1.
355
What is the remainder when 136525 is divided by 14?
11
What is the remainder when 496088 is divided by 266?
264
What is the remainder when 1414 is divided by 559?
296
Calculate the remainder when 79290 is divided by 73.
12
Calculate the remainder when 135034 is divided by 67512.
10
Calculate the remainder when 30619 is divided by 26.
17
Calculate the remainder when 14018 is divided by 136.
10
What is the remainder when 49137 is divided by 6141?
9
What is the remainder when 38192 is divided by 45?
32
What is the remainder when 216813 is divided by 515?
513
Calculate the remainder when 794 is divided by 504.
290
What is the remainder when 19696 is divided by 19693?
3
Calculate the remainder when 132154 is divided by 66045.
64
Calculate the remainder when 28330 is divided by 18.
16
Calculate the remainder when 20131 is divided by 40.
11
Calculate the remainder when 11918 is divided by 11820.
98
What is the remainder when 2921 is divided by 84?
65
What is the remainder when 6634 is divided by 8?
2
What is the remainder when 1808 is divided by 326?
178
Calculate the remainder when 6732 is divided by 173.
158
What is the remainder when 665 is divided by 167?
164
Calculate the remainder when 200637 is divided by 380.
377
Calculate the remainder when 10172 is divided by 3070.
962
Calculate the remainder when 259991 is divided by 49.
46
What is the remainder when 1163369 is divided by 1153?
1145
What is the remainder when 1203637 is divided by 401189?
70
What is the remainder when 7001008 is divided by 15?
13
What is the remainder when 9696 is divided by 4847?
2
Calculate the remainder when 6454 is divided by 920.
14
Calculate the remainder when 1991 is divided by 184.
151
Calculate the remainder when 12868 is divided by 331.
290
What is the remainder when 3019 is divided by 272?
27
What is the remainder when 78230 is divided by 6?
2
Calculate the remainder when 296494 is divided by 99.
88
What is the remainder when 1149116 is divided by 35?
31
What is the remainder when 12272 is divided by 586?
552
Calculate the remainder when 29173 is divided by 29.
28
What is the remainder when 2539 is divided by 427?
404
Calculate the remainder when 6387 is divided by 402.
357
What is the remainder when 1897 is divided by 39?
25
What is the remainder when 23425 is divided by 234?
25
What is the remainder when 372284 is divided by 15?
14
What is the remainder when 4482 is divided by 153?
45
What is the remainder when 8303 is divided by 5841?
2462
Calculate the remainder when 256583 is divided by 7127.
11
Calculate the remainder when 5061 is divided by 5060.
1
Calculate the remainder when 10601 is divided by 15.
11
What is the remainder when 86966 is divided by 453?
443
Calculate the remainder when 3083 is divided by 398.
297
Calculate the remainder when 28685 is divided by 3187.
2
What is the remainder when 10500 is divided by 62?
22
What is the remainder when 4989 is divided by 327?
84
What is the remainder when 17315 is divided by 1193?
613
What is the remainder when 412 is divided by 331?
81
What is the remainder when 1068477 is divided by 480?
477
Calculate the remainder when 24671 is divided by 6167.
3
Calculate the remainder when 5039 is divided by 334.
29
Calculate the remainder when 6705 is divided by 6607.
98
What is the remainder when 4177 is divided by 4143?
34
What is the remainder when 74219 is divided by 651?
5
Calculate the remainder when 109527 is divided by 21.
12
What is the remainder when 76455 is divided by 7643?
25
Calculate the remainder when 293 is divided by 143.
7
Calculate the remainder when 8123 is divided by 902.
5
What is the remainder when 3258 is divided by 223?
136
Calculate the remainder when 9040 is divided by 2254.
24
Calculate the remainder when 3241 is divided by 17.
11
Calculate the remainder when 297502 is divided by 96.
94
What is the remainder when 11684 is divided by 298?
62
What is the remainder when 728 is divided by 314?
100
What is the remainder when 9469 is divided by 16?
13
What is the remainder when 76285 is divided by 5446?
41
Calculate the remainder when 26466 is divided by 205.
21
Calculate the remainder when 211277 is divided by 10.
7
What is the remainder when 8613 is divided by 2685?
558
What is the remainder when 14562 is divided by 175?
37
Calculate the remainder when 170265 is divided by 1669.
27
What is the remainder when 220655 is divided by 110327?
1
Calculate the remainder when 647 is divided by 222.
203
What is the remainder when 282962 is divided by 5?
2
Calculate the remainder when 4893 is divided by 200.
93
What is the remainder when 10920 is divided by 73?
43
Calculate the remainder when 5220 is divided by 649.
28
Calculate the remainder when 61956 is divided by 712.
12
What is the remainder when 439690 is divided by 66?
64
Calculate the remainder when 2905 is divided by 53.
43
What is the remainder when 238851 is divided by 363?
360
What is the remainder when 66508 is divided by 289?
38
What is the remainder when 48988 is divided by 2441?
168
What is the remainder when 8779 is divided by 1462?
7
Calculate the remainder when 2947 is divided by 8.
3
What is the remainder when 180513 is divided by 106?
101
What is the remainder when 2612 is divided by 1132?
348
Calculate the remainder when 6039 is divided by 63.
54
What is the remainder when 43481 is divided by 57?
47
Calculate the remainder when 1047 is divided by 22.
13
Calculate the remainder when 263250 is divided by 1867.
3
Calculate the remainder when 88202 is divided by 44096.
10
Calculate the remainder when 87678 is divided by 52.
6
What is the remainder when 621976 is divided by 753?
751
What is the remainder when 1781 is divided by 136?
13
What is the remainder when 48 is divided by 19?
10
What is the remainder when 5969 is divided by 2699?
571
What is the remainder when 1350269 is divided by 64?
61
What is the remainder when 6936 is divided by 20?
16
What is the remainder when 431663 is divided by 756?
743
What is the remainder when 41656 is divided by 186?
178
What is the remainder when 18047 is divided by 36?
11
What is the remainder when 2075211 is divided by 1843?
1836
What is the remainder when 39027 is divided by 572?
131
What is the remainder when 167898 is divided by 25?
23
What is the remainder when 677 is divided by 351?
326
What is the remainder when 36291 is divided by 1352?
1139
What is the remainder when 397 is divided by 208?
189
Calculate the remainder when 154334 is divided by 182.
180
Calculate the remainder when 2414 is divided by 791.
41
Calculate the remainder when 16827 is divided by 429.
96
Calculate the remainder when 5289 is divided by 2448.
393
Calculate the remainder when 42910 is divided by 5361.
22
What is the remainder when 1899741 is divided by 56?
53
What is the remainder when 1496 is divided by 167?
160
What is the remainder when 10244 is divided by 8678?
1566
What is the remainder when 805 is divided by 30?
25
Calculate the remainder when 90674 is divided by 167.
160
What is the remainder when 251899 is divided by 19?
16
What is the remainder when 69211 is divided by 34521?
169
What is the remainder when 432 is divided by 419?
13
What is the remainder when 415754 is divided by 5939?
24
Calculate the remainder when 22898 is divided by 378.
218
Calculate the remainder when 387238 is divided by 2049.
2026
What is the remainder when 2082929 is divided by 30?
29
What is the remainder when 21792 is divided by 69?
57
What is the remainder when 181201 is divided by 90585?
31
What is the remainder when 86305 is divided by 30?
25
What is the remainder when 114216 is divided by 714?
690
Calculate the remainder when 2955 is divided by 579.
60
What is the remainder when 32362 is divided by 416?
330
Calculate the remainder when 435985 is divided by 579.
577
What is the remainder when 18891 is divided by 35?
26
Calculate the remainder when 601 is divided by 43.
42
Calculate the remainder when 8544 is divided by 577.
466
Calculate the remainder when 1498599 is divided by 1016.
1015
What is the remainder when 925630 is divided by 32?
30
Calculate the remainder when 645 is divided by 128.
5
What is the remainder when 4161 is divided by 1339?
144
Calculate the remainder when 2739 is divided by 349.
296
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
x**4 + 17*x**p wrt x.
144*x
Let i be (-4 - 32/(-7))/(3/21). Let o(u) = -u**3 + 5*u**2 - 5*u + 6. Let q be o(i). What is the third derivative of 6*j**2 - 41*j**6 + 6*j**q + j**6 wrt j?
-4800*j**3
Suppose j - 3*w + 19 = 0, -7 = j + 4*w - 3*w. Let p be -3*(j/(-3))/(-5). Differentiate 10 - 14*l + 14*l + 15*l**p with respect to l.
30*l
Let a(c) be the third derivative of -1169*c**5/12 - 2907*c**4/8 - 10*c**2 + 3*c + 79. What is the second derivative of a(l) wrt l?
-11690
Differentiate -959*h**3 + 3141*h**2 - 3141*h**2 - 1282 with respect to h.
-2877*h**2
Let t(h) = h**3 - 5*h**2 + 3*h + 11. Let x be t(4). Differentiate -14 + 2*s - 3*s - 3*s**2 - 41 - 80 - x*s with respect to s.
-6*s - 8
Let f(u) = -8228*u**2 + 143*u - 3. Let o(p) = 12341*p**2 - 215*p + 7. Let z(i) = 14*f(i) + 9*o(i). What is the second derivative of z(c) wrt c?
-8246
Let l = 31 - -1. Suppose -11*v - 43 = -12*v. What is the third derivative of -v*q**5 - 22*q**4 + l*q**2 + 22*q**4 wrt q?
-2580*q**2
Let u = 10 + 11. Suppose -4*v + 3*i + u = -0*i, -4*i - 26 = -5*v. Find the second derivative of 20*w**2 - v*w - 8*w + 4*w wrt w.
40
Let w(k) = -k**3 - 10. Let b(t) = -950*t**3 - 309*t + 130. Let m(p) = -2*b(p) - 26*w(p). Find the second derivative of m(h) wrt h.
11556*h
Let i(d) be the first derivative of -482*d**6/3 - 2*d**5/5 - 2561*d**3/3 + 3166. Find the third derivative of i(f) wrt f.
-57840*f**2 - 48*f
Let x(b) be the third derivative of -937*b**6/30 + 1269*b**5/20 + 9*b**2 + 70*b. Find the third derivative of x(l) wrt l.
-22488
Suppose 4*o = 3*p + 6, -19 = 5*p - 3*o + 2. Let q be (5 + p + 3)/(1/1). What is the derivative of -28 + 5*j**q + 30 + 6*j**2 wrt j?
22*j
Let m(i) = -3*i**2 - 5*i - 5. Let k be m(-2). Let c be (-1 - 11/k)/(2/14). Find the first derivative of 10 - 36*t**c - 4116*t**3 + 4116*t**3 wrt t.
-144*t**3
Let w(o) be the third derivative of 0 + 79/30*o**5 + 103/120*o**6 - 166*o**2 + 0*o**4 + 0*o + 0*o**3. Find the third derivative of w(y) wrt y.
618
Let h be (0 - (-102)/6) + -4. Find the third derivative of 4*c**2 - 65*c**5 - h*c**5 - 34*c**2 + 17*c**5 wrt c.
-3660*c**2
Suppose 3 = 6*q - 3. What is the derivative of 6 - 7 - w + 14 - 19*w**3 - q wrt w?
-57*w**2 - 1
Let w be 1/(8/(-6) + 1). Let c = -1 - w. What is the second derivative of -9*y + 18*y + 3*y**c + 3*y**2 wrt y?
12
Let c(b) = -2*b**2 - 2*b - 1. Let n(t) = 1656*t**2 + 541*t + 1. Let a(o) = -2*c(o) + n(o). What is the second derivative of a(v) wrt v?
3320
Let n be ((9/(-12))/(3/(-6)))/(90/120). Let s(r) be the second derivative of 0 - n*r**2 - 5/3*r**3 - 2*r. What is the first derivative of s(g) wrt g?
-10
Find the third derivative of -2407 + 8456293*n**3 + n**2 - 8456275*n**3 + n**2 + 41*n**5 wrt n.
2460*n**2 + 108
Find the third derivative of 6044*r**2 - 2956*r**2 - 1225*r**3 - 2786*r**2 wrt r.
-7350
Let n(h) = -912*h**3 + 53*h**2 + 24*h. Let m(q) = -1826*q**3 + 104*q**2 + 44*q. Let b(r) = 6*m(r) - 11*n(r). Find the third derivative of b(a) wrt a.
-5544
Let k(y) be the third derivative of 287*y**6/60 - 81*y**5/20 + y**2 + 553. Find the third derivative of k(n) wrt n.
3444
Let j(w) be the third derivative of w**5/20 - 73*w**4/6 - 268*w**3 + 641*w**2. Find the first derivative of j(b) wrt b.
6*b - 292
What is the second derivative of -8489642*b**3 + 107*b - 11*b + 168*b - 4 + 8485068*b**3 wrt b?
-27444*b
Find the second derivative of -444*l**4 + 616*l**2 + l**3 + 614*l**2 - 2*l - 1189*l**4 - 1230*l**2 - 246 wrt l.
-19596*l**2 + 6*l
Suppose -24*t - 11*t = -2065. Differentiate 51 + t - 25*y + 3*y**3 - 37 wrt y.
9*y**2 - 25
What is the third derivative of 2985*t**2 - 2*t**4 - 4194*t**2 + 82*t**3 + 2*t**4 + 4*t**6 - 2*t**6 wrt t?
240*t**3 + 492
Let g(a) = a**2 - 12. Let k(r) = 2 + 0 + 2 - 3. Suppose 32*m + 13 = -19. Let c(s) = m*g(s) + 5*k(s). What is the first derivative of c(q) wrt q?
-2*q
Let u(c) be the second derivative of 5/14*c**7 + 3*c - 2/3*c**3 + 8 + 3*c**2 - 1/4*c**5 + 0*c**6 + 0*c**4. What is the second derivative of u(n) wrt n?
300*n**3 - 30*n
Let l(q) be the second derivative of -q**6/15 - 23*q**5/30 + 3*q**2/2 - 41*q. Let d(t) be the first derivative of l(t). Find the third derivative of d(o) wrt o.
-48
Find the second derivative of -3047*s + 411*s**2 + 750*s**2 - 9*s**2 wrt s.
2304
Let c(t) be the second derivative of t**8/56 + 445*t**7/21 - 23*t**4/12 - 12*t**2 - 953*t. What is the third derivative of c(n) wrt n?
120*n**3 + 53400*n**2
Let t = 350 - 345. What is the second derivative of 25*r - 3*r - 3*r**5 - 2*r**5 - 13*r**t wrt r?
-360*r**3
Let l(u) = 8*u**3 + 3*u**2 + 4*u + 2. Let s be l(-2). Let b = 63 + s. What is the second derivative of -14*i - 3*i - 60*i**b + 52*i**5 - 5*i wrt i?
-160*i**3
Find the second derivative of -4137*n + 1969*n**3 - 2970*n + 5428*n wrt n.
11814*n
Let k(x) = 3*x**2 - 1. Let w(b) = -179*b**2 + b - 1044. Let z(h) = 3*k(h) - w(h). Differentiate z(u) with respect to u.
376*u - 1
Let w(g) be the first derivative of 2*g**5/5 - 2699*g**4/4 + g**2 + 10153*g - 108. What is the first derivative of w(h) wrt h?
8*h**3 - 8097*h**2 + 2
Let f be (-6)/(4/((-48)/9)). Let t be f/12 + (-14)/(-6). Find the third derivative of -4*s**t - 26*s**4 + 4*s**3 + 188*s**2 - 192*s**2 wrt s.
-624*s
Let o = 20 - -150. Let u be o/14 - (-3)/(-21). Find the second derivative of -5*d**4 - 8*d + 2*d**4 - 4 + u*d - 5*d**2 - 8*d wrt d.
-36*d**2 - 10
Suppose 3*b = 6, -101*k + 99*k + 16 = 3*b. Find the second derivative of -2 - 5*y - y + 80*y**5 - 5*y**5 + 8*y**k wrt y.
1660*y**3
Suppose 0 = -10*g + 38 + 2. Find the second derivative of 44*v**g - 94*v**4 - 1 - 7*v - 5*v wrt v.
-600*v**2
Differentiate 0*n**4 + 2*n**4 - 29*n + 7*n**4 - 55*n**3 + 2572 + 29*n with respect to n.
36*n**3 - 165*n**2
Let l be 11 + 27/18 - (17 + 4)/3. Let f(o) be the third derivative of l*o**3 + 0*o + 19/12*o**4 + 15*o**2 + 0. Find the first derivative of f(a) wrt a.
38
Suppose -d - 10 = -f, 5*d = 4*f + 2*d - 38. Suppose 27 = f*i - 5. What is the second derivative of 12*u**4 - 12*u**i - 31*u - 20*u**4 - 8*u**4 wrt u?
-336*u**2
Suppose 20*j - 504 = 12*j. Differentiate 6*l - 37*l - 9*l - j*l + 20 wrt l.
-103
Let f(j) be the third derivative of -j**7/210 - 7*j**6/120 - j**4/4 - 1046*j**3/3 - 2528*j**2. Find the first derivative of f(o) wrt o.
-4*o**3 - 21*o**2 - 6
Let d(n) = 11193*n**2 + 1588*n. Let t(l) = -3732*l**2 - 529*l. Let r(q) = 2*d(q) + 7*t(q). What is the second derivative of r(m) wrt m?
-7476
Let f(y) be the second derivative of 0*y**5 + 0*y**2 + 0*y**3 - 7*y**4 - y + 25 + 0*y**6 + 10/21*y**7. Find the third derivative of f(p) wrt p.
1200*p**2
Let j(r) = 2 + 8 - 7 - r. Let b be j(-2). Find the second derivative of o**5 + 7*o**3 - 7*o**b + 15*o - 7*o**3 wrt o.
-120*o**3
Let c(t) = -134*t + 97. Let o(p) = -51 - 28 + 155*p - 22 + 5 - 25*p. Let w(i) = -3*c(i) - 4*o(i). Differentiate w(d) with respect to d.
-118
Let q(g) be the second derivative of 583*g**3 - 9571*g**2/2 + 23*g + 91. What is the derivative of q(b) wrt b?
3498
Let n(m) = 6*m - 5. Let w be n(13). Let q = w - -17. Find the first derivative of 13*u**2 - 43 - 42 + q wrt u.
26*u
Let a be (-4)/4 + 10/(-5) + 28. What is the derivative of 62 + 111 - 11288*w**2 - a*w**4 + 11288*w**2 wrt w?
-100*w**3
Let z(a) be the second derivative of -23*a**6/6 + 9*a**5/20 + 19*a**4 + 7*a**3/3 - 638*a + 1. What is the third derivative of z(y) wrt y?
-2760*y + 54
Let c(w) be the first derivative of -1/2*w**2 - 63 + 0*w + 15/2*w**4 + 35/3*w**3. Find the third derivative of c(t) wrt t.
180
Suppose 27 = -110*u + 113*u. Find the third derivative of -u*f**2 + 8*f**3 + 8 - 28*f**3 - 76*f**3 + 0 - 128*f**3 wrt f.
-1344
Let h(z) = 7026*z**4 + 3*z**3 - 10*z + 31. Let v(s) = 21079*s**4 + 8*s**3 - 29*s + 84. Let u(b) = 8*h(b) - 3*v(b). Find the second derivative of u(r) wrt r.
-84348*r**2
Let l(h) be the second derivative of 7*h**6/15 + 70*h**3/3 - 107*h**2 - 175*h. Let o(x) be the first derivative of l(x). Differentiate o(a) wrt a.
168*a**2
Let z(i) be the first derivative of -5*i**6/6 + 3*i**4/2 + 204*i**3 - 2687. Find the third derivative of z(p) wrt p.
-300*p**2 + 36
Let a(u) be the first derivative of 609*u**3 + 625*u**2/2 + 167. Find the second derivative of a(h) wrt h.
3654
What is the third derivative of -19*r**2 + 3 - 90*r**2 + 226*r**3 - 16*r**2 + 112*r**3 - 39*r**2 wrt r?
2028
Let b(f)
|
{
"pile_set_name": "DM Mathematics"
}
|
73*o - 496624973*o - 225*o**3.
-225*o**3
Collect the terms in 311336*y + 311334*y + 1 - 622700*y.
-30*y + 1
Collect the terms in -1194*b + 457*b + 429*b + 394*b - 1.
86*b - 1
Collect the terms in -10*z + 31519556255 - 31519556255.
-10*z
Collect the terms in -10499*z**3 - 1304268 + 1304268.
-10499*z**3
Collect the terms in -247468 + 247468 - 253*j + 270*j.
17*j
Collect the terms in -22254*n + 17128*n - 36426*n.
-41552*n
Collect the terms in 455*q**2 - 405*q**2 - 29*q - 454*q**2 + 29*q.
-404*q**2
Collect the terms in -7634 - 22*y**3 + 14837 - 7203.
-22*y**3
Collect the terms in -3*c**3 + 4350*c - 1842*c - 2508*c + 9*c**2.
-3*c**3 + 9*c**2
Collect the terms in 2*n**2 - 46*n + 80*n - 3*n - 21*n + 6*n**2.
8*n**2 + 10*n
Collect the terms in -35*c - 20*c - 5 + 6 + 122*c.
67*c + 1
Collect the terms in 6*s + 2*s - 19 - 3*s - 4 + 15.
5*s - 8
Collect the terms in 0*n**3 - 844*n**2 + n**3 + 497*n**2 + 347*n**2.
n**3
Collect the terms in 5 - 4 - 3 + 1 + 358*f - 934*f + 433*f.
-143*f - 1
Collect the terms in -611*u**2 + 489*u**2 - 14*u - 10*u + 24*u + 63*u**2.
-59*u**2
Collect the terms in 42 + 2 + 13 - 58*c + 24*c + 29*c.
-5*c + 57
Collect the terms in -59348*j + 19727*j + 19750*j - 2*j**2 + 19871*j.
-2*j**2
Collect the terms in 14030 + 13629 - 41271 - i + 13612.
-i
Collect the terms in 23376*x - 61075*x - 33376*x.
-71075*x
Collect the terms in 178*u - 81*u - 115*u - 11*u.
-29*u
Collect the terms in 2064276*b + 2064142*b - 4128419*b.
-b
Collect the terms in 651*v**2 + 649*v**2 - 2602*v**2 + 599*v**2 + 573*v**2.
-130*v**2
Collect the terms in -389*v**3 - 392*v**3 - 567*v**3 + 1705*v**3 - 378*v**3.
-21*v**3
Collect the terms in -16438*i**3 - 136146*i**3 - 157626*i**3 + 38280*i**3.
-271930*i**3
Collect the terms in 526*o - 1595*o**2 - 527*o - 568*o**2 + 434*o**2.
-1729*o**2 - o
Collect the terms in 13323764*l**3 + 2*l - 13323763*l**3 - 2*l + 1.
l**3 + 1
Collect the terms in 19*r**3 + 6171301515998 - 6171301515998.
19*r**3
Collect the terms in -471614*c + 157201*c + 157201*c + 157201*c.
-11*c
Collect the terms in 2*w**2 + 0*w - 29*w + 676 + 16*w + 16*w.
2*w**2 + 3*w + 676
Collect the terms in 6605 - 6496 - 2*n + 11*n + 3*n.
12*n + 109
Collect the terms in o**2 - 10*o + 2*o + 12*o - 10*o + 6*o - 24*o**2.
-23*o**2
Collect the terms in -38*a**3 + 1211*a**2 - 3785*a**2 + 1222*a**2 + 1347*a**2.
-38*a**3 - 5*a**2
Collect the terms in 196 + v + 228 + 216 + 183 - 869 + 126.
v + 80
Collect the terms in 1867 - 77925*m**2 + 77734*m**2 - 1867 - 3*m.
-191*m**2 - 3*m
Collect the terms in 952*m + 963*m - 2876*m + 962*m + 47*m**3.
47*m**3 + m
Collect the terms in 11 - 2 + 32 - 12 + 26*l + 18*l.
44*l + 29
Collect the terms in 75 - 100 + 3*m + 78 - 5*m - m - 51.
-3*m + 2
Collect the terms in 11141465*l**2 + 9 + 6 - 11141465*l**2 - 2*l**3 - 15.
-2*l**3
Collect the terms in -2*j**3 - 12962*j**2 + 25925*j**2 - 12963*j**2 + 190 - 511.
-2*j**3 - 321
Collect the terms in -889*j**2 - 628*j - 881*j**2 + 624*j + 501*j**2.
-1269*j**2 - 4*j
Collect the terms in 891*s**2 - 4211131789*s + 4211131789*s.
891*s**2
Collect the terms in -28149*b**2 + 56194*b**2 - 28046*b**2 + 213*b**3.
213*b**3 - b**2
Collect the terms in -16*y + 251*y + 165*y - 198*y - 200*y.
2*y
Collect the terms in -26 + 3*b**3 - b + 8 - 181*b**2 + 19 + b.
3*b**3 - 181*b**2 + 1
Collect the terms in -8 - 458*g - 104*g**2 - 60*g**2 + 8.
-164*g**2 - 458*g
Collect the terms in 359*y + 810*y - 363*y + 732*y + 595*y.
2133*y
Collect the terms in -699*u + 655*u - 842*u - 820*u - 627*u.
-2333*u
Collect the terms in 77*q + 100167 + q - 100167 + 10*q**2 + 77*q - 155*q.
10*q**2
Collect the terms in -1054*l + 1664 + 1649 - 3313.
-1054*l
Collect the terms in -39516*m**3 + 4*m**2 - 4*m**2 + 79096*m**3 - 39513*m**3.
67*m**3
Collect the terms in 1321*v + 255*v - 565*v.
1011*v
Collect the terms in 10*g - 12*g**3 + 15*g - 160*g + 135*g - 31*g**3.
-43*g**3
Collect the terms in 5*i - 46*i**2 - 4*i + 342 - 473 - 12*i**2.
-58*i**2 + i - 131
Collect the terms in -3346 + 20539*x - 3350 - 3341 + 13387 - 20544*x - 3350.
-5*x
Collect the terms in -1459*s - 2187*s + 81*s - 7 - 8 + 452*s.
-3113*s - 15
Collect the terms in -1048602*v**2 - 240*v - 365832*v**2 + 240*v.
-1414434*v**2
Collect the terms in -163*f**3 + 33*f**3 + 800*f**3.
670*f**3
Collect the terms in 1177 + 675 - 1737 - 2*p**2.
-2*p**2 + 115
Collect the terms in -39*t - 41*t + 164*t**2 - 40*t - 198*t + 318*t - 165*t**2.
-t**2
Collect the terms in -244036*x**3 + 731910*x**3 - 243933*x**3 - 243939*x**3.
2*x**3
Collect the terms in 5 + 3153868*j + 3153865*j - 19 - 6307737*j.
-4*j - 14
Collect the terms in -599*h - 23*h - 2*h**2 + 5*h + 4*h**2.
2*h**2 - 617*h
Collect the terms in 264*y**2 + 264*y**2 + 266*y**2 + 270*y**2 - 1065*y**2 + 10*y**3.
10*y**3 - y**2
Collect the terms in 8 + 1565*r - 10830*r - 7.
-9265*r + 1
Collect the terms in -12900*k + 4055*k + 4069*k + 4794*k.
18*k
Collect the terms in h**3 - 484 + 233 + 251 + 619*h.
h**3 + 619*h
Collect the terms in -14*h**2 + 17*h**2 - 14*h**3 - 8*h**3 + 20*h**3 + 18*h**2 - 13*h**3.
-15*h**3 + 21*h**2
Collect the terms in 2405*s**2 - 5506*s**2 - 5039*s**2.
-8140*s**2
Collect the terms in -232*s - 7*s**2 + 116*s + 2874 + 119*s - 2874.
-7*s**2 + 3*s
Collect the terms in -559*i**2 + 42*i**2 - 313*i**2 + 245*i**2 - 374*i**2.
-959*i**2
Collect the terms in 2657*r - 6067*r + 4*r**2 + 750*r + 2660*r.
4*r**2
Collect the terms in -3473*l + 0 - 4 - 3473*l + 10408*l - 3471*l + 5.
-9*l + 1
Collect the terms in 71*x - 5152*x**3 + 5232*x**3 + 151*x.
80*x**3 + 222*x
Collect the terms in 87 - 11*f - 84 + 43 + 165 - 35.
-11*f + 176
Collect the terms in 97*l**3 + 127852*l - 71 - 127852*l.
97*l**3 - 71
Collect the terms in -19382*x**3 - 17053*x**3 + 10*x**2 + 36447*x**3 - 10*x**2.
12*x**3
Collect the terms in 11948*y**2 + 64 + 55 - 119 + 59908*y**2.
71856*y**2
Collect the terms in 16605*a**2 + 16607*a**2 - 49818*a**2 + 16616*a**2.
10*a**2
Collect the terms in -562*x**3 + 197*x**3 + 98*x**3.
-267*x**3
Collect the terms in -383 - 7*w**2 + 61 + 405 - 85.
-7*w**2 - 2
Collect the terms in 67266*k - 11199*k - 11214*k - 11215*k - 11212*k - 11214*k - 11210*k.
2*k
Collect the terms in -2 - 13194*o + 39620*o + 2 - 13220*o - 13206*o + 11*o**2.
11*o**2
Collect the terms in 53*t**2 + 229686 - 459378 + 229694.
53*t**2 + 2
Collect the terms in -1918*l + 3040*l + 3581*l.
4703*l
Collect the terms in -70314*r**2 + 5 - 44373*r**2 - 4.
-114687*r**2 + 1
Collect the terms in -1385*a + 2*a**3 + 5776 - 2865 - 2911.
2*a**3 - 1385*a
Collect the terms in -1490 + 2972 - 6*l - 10*l - 10*l + 20*l - 1482.
-6*l
Collect the terms in 171591 - 171591 - 9883*x.
-9883*x
Collect the terms in -81472*v - 81476*v - 81466*v + 325897*v - 81473*v.
10*v
Collect the terms in -4 - 46*i**3 - 96*i**3 + 7 + 157*i**3 - 3.
15*i**3
Collect the terms in -162*d**3 + 806597*d**2 + 7 - 806597*d**2 + 159*d**3.
-3*d**3 + 7
Collect the terms in 4259*i**2 - 29820*i**2 + 146982*i**2 + 67946*i**2.
189367*i**2
Collect the terms in -98 - c**3 + 9 + 140*c**3 - 29*c**2 + 29*c**2.
139*c**3 - 89
Collect the terms in 9612*t**2 - 38503*t**2 + 9657*t**2 + 9620*t**2 + 9620*t**2.
6*t**2
Collect the terms in 1843*t + 55262 + 55261 - 110523.
1843*t
Collect the terms in -180 + 47*v + 356 - 176 - 9*v**2 + 20*v**2.
11*v**2 + 47*v
Collect the terms in 619253 + b - 619253 - 28*b**3 - b + 11*b**3.
-17*b**3
Collect the terms in -24*m**2 - 594*m**2 + 431*m**3 + 1304*m**3.
1735*m**3 - 618*m**2
Collect the terms in -9*w**2 + 49372*w**3 - 403868*w**3 + 9*w**2.
-354496*w**3
Collect the terms in 7960232*o**2 - 9*o**3 - 13*o**3 - 7960232*o**2 + 33*o**3.
11*o**3
Collect the terms in 293*l**3 + 298*l**3 + 294*l**3 + 289*l**3 + 292*l**3 - 1472*l**3.
-6*l**3
Collect the terms in 7*q**3 + 11*q**3 - 874 - 22*q**3 + 2*q**3.
-2*q**3 - 874
Collect the terms in -1570*p**3 + 1569*p**3 + 51*p**2 + 12 - 11.
-p**3 + 51*p**2 + 1
Collect the terms in -179 - 340*y**3 - 130*y**3 + 90 + 89.
-470*y**3
Collect the terms in 1079 + 241 - 2047 + t + 4*t - 7*t.
-2*t - 727
Collect the terms in 525*d**3 + 8418266*d - 8418266*d.
525*d**3
Collect the terms in 180*r + 1730847 - 1730847.
180*r
Collect the terms in -3*q**2 - 1385 + 5*q**2 - 8*q - q**2 + 4*q**2.
5*q**2 - 8*q - 1385
Collect the terms in -5*w**2 + 1206*w**3 + 36*w**2 - 1204*w**3.
2*w**3 + 31*w**2
Collect the terms in 6
|
{
"pile_set_name": "DM Mathematics"
}
|
actors of 3243?
3, 23, 47
List the prime factors of 13581.
3, 503
What are the prime factors of 15886?
2, 13, 47
What are the prime factors of 3049?
3049
What are the prime factors of 428?
2, 107
What are the prime factors of 479?
479
List the prime factors of 3807.
3, 47
What are the prime factors of 12751?
41, 311
List the prime factors of 4325.
5, 173
What are the prime factors of 190?
2, 5, 19
What are the prime factors of 823?
823
List the prime factors of 9108.
2, 3, 11, 23
List the prime factors of 3369.
3, 1123
What are the prime factors of 1012?
2, 11, 23
What are the prime factors of 3598?
2, 7, 257
What are the prime factors of 38157?
3, 7, 23, 79
What are the prime factors of 45962?
2, 7, 67
List the prime factors of 8504.
2, 1063
List the prime factors of 324.
2, 3
List the prime factors of 91782.
2, 3, 5099
List the prime factors of 110148.
2, 3, 67, 137
What are the prime factors of 134536?
2, 67, 251
What are the prime factors of 3139?
43, 73
List the prime factors of 77356.
2, 83, 233
What are the prime factors of 56596?
2, 14149
List the prime factors of 485.
5, 97
List the prime factors of 1485.
3, 5, 11
What are the prime factors of 1674?
2, 3, 31
List the prime factors of 1345.
5, 269
List the prime factors of 71061.
3, 23687
List the prime factors of 20830.
2, 5, 2083
List the prime factors of 161548.
2, 40387
List the prime factors of 4340.
2, 5, 7, 31
What are the prime factors of 57741?
3, 19, 1013
What are the prime factors of 126235?
5, 25247
List the prime factors of 37557.
3, 13, 107
List the prime factors of 2109.
3, 19, 37
What are the prime factors of 952?
2, 7, 17
List the prime factors of 1742.
2, 13, 67
What are the prime factors of 131415?
3, 5, 8761
What are the prime factors of 19779?
3, 19, 347
What are the prime factors of 797?
797
List the prime factors of 1036.
2, 7, 37
What are the prime factors of 1561?
7, 223
List the prime factors of 3465.
3, 5, 7, 11
List the prime factors of 33938.
2, 71, 239
List the prime factors of 416.
2, 13
List the prime factors of 14544.
2, 3, 101
What are the prime factors of 1637?
1637
What are the prime factors of 8797?
19, 463
List the prime factors of 685.
5, 137
List the prime factors of 20352.
2, 3, 53
List the prime factors of 50619.
3, 47, 359
List the prime factors of 52930.
2, 5, 67, 79
What are the prime factors of 290?
2, 5, 29
What are the prime factors of 850?
2, 5, 17
List the prime factors of 53925.
3, 5, 719
What are the prime factors of 33720?
2, 3, 5, 281
List the prime factors of 38807.
151, 257
List the prime factors of 888.
2, 3, 37
What are the prime factors of 27167?
7, 3881
List the prime factors of 102741.
3, 23, 1489
What are the prime factors of 1915?
5, 383
What are the prime factors of 41001?
3, 79, 173
What are the prime factors of 20871?
3, 773
List the prime factors of 7110.
2, 3, 5, 79
List the prime factors of 20091.
3, 37, 181
List the prime factors of 7402.
2, 3701
List the prime factors of 1312.
2, 41
What are the prime factors of 14748?
2, 3, 1229
What are the prime factors of 63322?
2, 7, 4523
List the prime factors of 1046.
2, 523
List the prime factors of 117502.
2, 7, 11, 109
List the prime factors of 632.
2, 79
What are the prime factors of 110?
2, 5, 11
What are the prime factors of 5639?
5639
What are the prime factors of 23474?
2, 11, 97
What are the prime factors of 7884?
2, 3, 73
List the prime factors of 2158.
2, 13, 83
What are the prime factors of 2779?
7, 397
List the prime factors of 9119.
11, 829
What are the prime factors of 10636?
2, 2659
List the prime factors of 155632.
2, 71, 137
What are the prime factors of 23166?
2, 3, 11, 13
List the prime factors of 10077.
3, 3359
List the prime factors of 38549.
7, 5507
List the prime factors of 377.
13, 29
List the prime factors of 9379.
83, 113
List the prime factors of 1012.
2, 11, 23
What are the prime factors of 4027?
4027
List the prime factors of 38503.
139, 277
List the prime factors of 18220.
2, 5, 911
List the prime factors of 70.
2, 5, 7
List the prime factors of 6419.
7, 131
What are the prime factors of 14477?
31, 467
List the prime factors of 17343.
3, 41, 47
What are the prime factors of 2002?
2, 7, 11, 13
List the prime factors of 16230.
2, 3, 5, 541
What are the prime factors of 14290?
2, 5, 1429
List the prime factors of 1077.
3, 359
List the prime factors of 658.
2, 7, 47
List the prime factors of 83504.
2, 17, 307
What are the prime factors of 7261?
53, 137
List the prime factors of 36546.
2, 3, 6091
What are the prime factors of 9465?
3, 5, 631
List the prime factors of 1088.
2, 17
What are the prime factors of 28304?
2, 29, 61
What are the prime factors of 11606?
2, 7, 829
What are the prime factors of 1720?
2, 5, 43
List the prime factors of 46114.
2, 23057
What are the prime factors of 89094?
2, 3, 31, 479
What are the prime factors of 16178?
2, 8089
What are the prime factors of 522?
2, 3, 29
List the prime factors of 7278.
2, 3, 1213
What are the prime factors of 2011?
2011
List the prime factors of 6805.
5, 1361
What are the prime factors of 29110?
2, 5, 41, 71
List the prime factors of 995.
5, 199
What are the prime factors of 4775?
5, 191
List the prime factors of 734.
2, 367
List the prime factors of 556.
2, 139
List the prime factors of 12909.
3, 13, 331
What are the prime factors of 531?
3, 59
List the prime factors of 410.
2, 5, 41
List the prime factors of 84878.
2, 31, 37
List the prime factors of 1302.
2, 3, 7, 31
List the prime factors of 4058.
2, 2029
What are the prime factors of 117468?
2, 3, 13, 251
List the prime factors of 29088.
2, 3, 101
List the prime factors of 18308.
2, 23, 199
List the prime factors of 76953.
3, 113, 227
What are the prime factors of 11408?
2, 23, 31
What are the prime factors of 3516?
2, 3, 293
What are the prime factors of 354?
2, 3, 59
What are the prime factors of 105296?
2, 6581
List the prime factors of 275.
5, 11
List the prime factors of 157802.
2, 78901
What are the prime factors of 2579?
2579
List the prime factors of 1037.
17, 61
What are the prime factors of 1204?
2, 7, 43
List the prime factors of 15500.
2, 5, 31
List the prime factors of 30658.
2, 15329
List the prime factors of 1112.
2, 139
List the prime factors of 6673.
6673
What are the prime factors of 228?
2, 3, 19
List the prime factors of 577.
577
List the prime factors of 14145.
3, 5, 23, 41
List the prime factors of 14175.
3, 5, 7
List the prime factors of 3111.
3, 17, 61
What are the prime factors of 4075?
5, 163
What are the prime factors of 11147?
71, 157
List the prime factors of 1869.
3, 7, 89
What are the prime factors of 2620?
2, 5, 131
List the prime factors of 2323.
23, 101
List the prime factors of 18000.
2, 3, 5
What are the prime factors of 2285?
5, 457
List the prime factors of 743.
743
List the prime factors of 195266.
2, 89, 1097
What are the prime factors of 4809?
3, 7, 229
What are the prime factors of 21989?
11, 1999
List the prime factors of 4128.
2, 3, 43
List the prime factors of 958.
2, 479
What are the prime factors of 85675?
5, 23, 149
List the prime factors of 43349.
67, 647
List the prime factors of 4227.
3, 1409
What are the prime factors of 22909?
31, 739
What are the prime factors of 382?
2, 191
What are the prime factors of 81863?
71, 1153
List the prime factors of 526.
2, 263
What are the prime factors of 18380?
2, 5, 919
What are the prime factors of 6046?
2, 3023
List the prime factors of 12190.
2, 5, 23, 53
What are the prime factors of 4987?
4987
List the prime factors of 3191.
3191
List the prime factors of 3503.
31, 113
What are the prime factors of 8768?
2, 137
What are the prime factors of 12599?
43, 293
List the prime factors of 147793.
147793
List the prime factors of 167237.
7, 3413
What are the prime factors of 7?
7
List the prime factors of 177.
3, 59
List the prime factors of 669.
3, 223
What are the prime factors of 4289?
4289
What are the prime factors of 646?
2, 17, 19
What are the prime factors of 60060?
2, 3, 5, 7, 11, 13
What are the prime factors of 4397?
4397
What are the prime factors of 3716?
2, 929
List the prime factors of 978.
2, 3, 163
List the prime factors of 4314.
2, 3, 719
List the prime factors of 3963.
3, 1321
List the prime factors of 3435.
3, 5, 229
List the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
637?
0
What is the units digit of 3718?
8
What is the thousands digit of 569854?
9
What is the hundred thousands digit of 189119?
1
What is the hundred thousands digit of 210940?
2
What is the hundreds digit of 199790?
7
What is the hundred thousands digit of 1579540?
5
What is the thousands digit of 17033311?
3
What is the tens digit of 3584570?
7
What is the thousands digit of 5167497?
7
What is the units digit of 2211799?
9
What is the thousands digit of 360720?
0
What is the thousands digit of 384059?
4
What is the tens digit of 6540372?
7
What is the thousands digit of 196355?
6
What is the thousands digit of 319125?
9
What is the hundreds digit of 591319?
3
What is the units digit of 4361092?
2
What is the units digit of 1029544?
4
What is the hundreds digit of 19710111?
1
What is the units digit of 18659618?
8
What is the tens digit of 548624?
2
What is the thousands digit of 21623868?
3
What is the ten thousands digit of 2722866?
2
What is the tens digit of 265903?
0
What is the ten thousands digit of 2243485?
4
What is the ten thousands digit of 330048?
3
What is the millions digit of 1244151?
1
What is the hundreds digit of 8120429?
4
What is the tens digit of 170983?
8
What is the hundred thousands digit of 205321?
2
What is the tens digit of 227568?
6
What is the units digit of 693371?
1
What is the ten thousands digit of 263984?
6
What is the ten thousands digit of 65627?
6
What is the hundreds digit of 635110?
1
What is the hundreds digit of 185275?
2
What is the hundreds digit of 153790?
7
What is the units digit of 1053583?
3
What is the tens digit of 77800?
0
What is the hundred thousands digit of 111621?
1
What is the hundred thousands digit of 243198?
2
What is the units digit of 2390550?
0
What is the units digit of 1209035?
5
What is the ten thousands digit of 14556478?
5
What is the hundred thousands digit of 940737?
9
What is the tens digit of 680607?
0
What is the ten thousands digit of 561317?
6
What is the ten millions digit of 28056236?
2
What is the ten thousands digit of 722956?
2
What is the units digit of 1075135?
5
What is the thousands digit of 2026479?
6
What is the units digit of 1187891?
1
What is the ten thousands digit of 3886299?
8
What is the tens digit of 3125061?
6
What is the ten thousands digit of 167879?
6
What is the hundreds digit of 214666?
6
What is the hundreds digit of 1325008?
0
What is the ten thousands digit of 1626745?
2
What is the units digit of 1018538?
8
What is the thousands digit of 44725?
4
What is the units digit of 1303267?
7
What is the thousands digit of 11329535?
9
What is the units digit of 568740?
0
What is the units digit of 40626?
6
What is the hundreds digit of 9459191?
1
What is the ten thousands digit of 1169413?
6
What is the hundred thousands digit of 5679162?
6
What is the millions digit of 9717503?
9
What is the millions digit of 4833585?
4
What is the millions digit of 2444806?
2
What is the thousands digit of 6913021?
3
What is the ten thousands digit of 117909?
1
What is the hundred thousands digit of 2100144?
1
What is the hundreds digit of 849672?
6
What is the thousands digit of 2576477?
6
What is the tens digit of 235557?
5
What is the hundred thousands digit of 25724798?
7
What is the ten thousands digit of 2583160?
8
What is the hundreds digit of 819318?
3
What is the ten thousands digit of 8631838?
3
What is the thousands digit of 26470?
6
What is the ten millions digit of 10890148?
1
What is the tens digit of 6884?
8
What is the hundreds digit of 3352427?
4
What is the millions digit of 1325377?
1
What is the ten thousands digit of 1469119?
6
What is the ten thousands digit of 4761283?
6
What is the hundreds digit of 1774062?
0
What is the hundred thousands digit of 2106266?
1
What is the thousands digit of 948507?
8
What is the units digit of 9167877?
7
What is the ten millions digit of 21016606?
2
What is the hundreds digit of 2569099?
0
What is the thousands digit of 414790?
4
What is the thousands digit of 693008?
3
What is the thousands digit of 293174?
3
What is the thousands digit of 105230?
5
What is the hundred thousands digit of 2960621?
9
What is the tens digit of 231013?
1
What is the hundred thousands digit of 104099?
1
What is the hundred thousands digit of 3611083?
6
What is the hundred thousands digit of 943462?
9
What is the thousands digit of 180949?
0
What is the ten millions digit of 15376720?
1
What is the hundreds digit of 28784787?
7
What is the hundred thousands digit of 148706?
1
What is the thousands digit of 981204?
1
What is the tens digit of 7151387?
8
What is the hundreds digit of 7625607?
6
What is the units digit of 644049?
9
What is the hundred thousands digit of 10675604?
6
What is the ten thousands digit of 141058?
4
What is the hundreds digit of 8526?
5
What is the units digit of 374633?
3
What is the units digit of 2976138?
8
What is the thousands digit of 787456?
7
What is the ten thousands digit of 153673?
5
What is the hundreds digit of 1099956?
9
What is the units digit of 49184?
4
What is the hundred thousands digit of 408258?
4
What is the ten thousands digit of 86449?
8
What is the units digit of 1051549?
9
What is the units digit of 1842446?
6
What is the ten thousands digit of 2476692?
7
What is the ten millions digit of 13761889?
1
What is the hundreds digit of 2784872?
8
What is the hundred thousands digit of 17395431?
3
What is the ten thousands digit of 351404?
5
What is the hundred thousands digit of 798026?
7
What is the hundreds digit of 631493?
4
What is the hundred thousands digit of 2079824?
0
What is the ten thousands digit of 1208372?
0
What is the hundreds digit of 1529737?
7
What is the thousands digit of 1199434?
9
What is the thousands digit of 787825?
7
What is the units digit of 3148736?
6
What is the units digit of 15050?
0
What is the hundred thousands digit of 323191?
3
What is the units digit of 20657478?
8
What is the ten thousands digit of 661056?
6
What is the thousands digit of 7587608?
7
What is the hundred thousands digit of 391256?
3
What is the hundreds digit of 339372?
3
What is the hundred thousands digit of 1196101?
1
What is the ten thousands digit of 20648072?
4
What is the hundreds digit of 824608?
6
What is the thousands digit of 457005?
7
What is the millions digit of 19402905?
9
What is the tens digit of 1933648?
4
What is the hundred thousands digit of 11022638?
0
What is the hundreds digit of 2925698?
6
What is the hundred thousands digit of 162304?
1
What is the units digit of 205570?
0
What is the units digit of 280738?
8
What is the hundred thousands digit of 997938?
9
What is the hundred thousands digit of 301379?
3
What is the millions digit of 5467532?
5
What is the millions digit of 5069146?
5
What is the millions digit of 1197632?
1
What is the units digit of 307914?
4
What is the units digit of 208310?
0
What is the ten thousands digit of 6066817?
6
What is the hundred thousands digit of 1772525?
7
What is the thousands digit of 29009?
9
What is the tens digit of 938055?
5
What is the ten thousands digit of 251708?
5
What is the tens digit of 571818?
1
What is the tens digit of 273545?
4
What is the tens digit of 434739?
3
What is the thousands digit of 9059797?
9
What is the hundred thousands digit of 5779350?
7
What is the ten thousands digit of 149476?
4
What is the millions digit of 2430707?
2
What is the ten thousands digit of 140429?
4
What is the hundred thousands digit of 675381?
6
What is the tens digit of 7887549?
4
What is the thousands digit of 128353?
8
What is the units digit of 5834542?
2
What is the thousands digit of 796310?
6
What is the hundred thousands digit of 1304398?
3
What is the tens digit of 311639?
3
What is the thousands digit of 177344?
7
What is the hundreds digit of 8361118?
1
What is the thousands digit of 9168371?
8
What is the millions digit of 9864208?
9
What is the millions digit of 4081339?
4
What is the ten thousands digit of 263923?
6
What is the units digit of 287176?
6
What is the hundreds digit of 14168658?
6
What is the hundred thousands digit of 723013?
7
What is the ten millions digit of 24955376?
2
What is the ten thousands digit of 17214185?
1
What is the hundred thousands digit of 3580490?
5
What is the ten t
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*j + h - 66. Solve j*o - 15 = -3 for o.
1
Let o = -522 - -524. Let b = -313 - -328. Solve u = -o*u - b for u.
-5
Let o(i) = 2*i**2 - 9*i + 5. Let p be o(4). Let q(d) = -36*d + 16. Let y(h) = h - 1. Let g(x) = p*q(x) + 16*y(x). Let t be g(-1). Solve -c + t = -6*c for c.
-4
Let s = -18 + 7. Let w = s + 15. Let z be (0 + w/8)*10. Solve 4*m = -m - z for m.
-1
Let x(b) = -35*b - 1430. Let z be x(-41). Solve 5*l = -z*l + 60 for l.
6
Suppose 4*m - 9 + 27 = -2*x, -5*m - 6 = -3*x. Let p(v) = v**3 + v**2 - 5*v + 5. Let k be p(m). Solve 2*z + k*z = 8 for z.
2
Let j be (6/(-9))/(2/(-9)). Suppose -11*i - 2*a + 14 = -9*i, -5*i - 3*a + 37 = 0. Solve -i = j*u + u for u.
-2
Let i = -1 - 1. Let p be (-24 - -25)*(-27)/(i + -1). Solve -4*a - 15 = -p*a for a.
3
Let n be 2/(-9) + 29/9. Suppose -u = 15*u - 32. Solve n*h = h + u for h.
1
Let b(n) = -n. Let u be b(-4). Let x be 49*(26/(-14) - -2). Let w be -2 + 12/x - (-185)/35. Solve -3*a - u = w for a.
-3
Let j(i) = i**3 - 25*i**2 + 31*i + 53. Let p be j(24). Let v = p + -206. Solve 0 = 3*m - v + 30 for m.
-5
Suppose -5*t = -2*t - 2*v + 114, t = 2*v - 42. Let f(u) = -10*u - 64. Let o be f(-10). Let c = t + o. Solve 5*p = -c*p for p.
0
Suppose -577*v = -573*v + 5*x - 506, 3*v - 4*x = 395. Solve 0 = 14*m - 57*m - v for m.
-3
Let v = -28262 - -28314. Solve 25 = -47*u + v*u for u.
5
Let p = 2 - -3. Let y be p/(-1)*(-4)/10. Suppose -y*x + 2*s + 4 = -10, 27 = 5*x - s. Solve -b - 4 + x = 0 for b.
1
Suppose -81*o = -82*o + 589. Suppose 5*k + 528 = -n, -58 = -5*k - 2*n - o. Let h be 7/(k/(-12))*50/4. Solve 3*y - 2 = h for y.
4
Suppose -252 = 243*y - 252*y. Solve 0 = y*h - 2*h - 130 for h.
5
Suppose 10 - 26 = -4*j. Suppose -5*i + 16 + 44 = 0. Suppose s + i = 2*x - s, -x - 4*s = -16. Solve -j*l = -x*l - 12 for l.
-3
Suppose -4*q - 13*o + 22 = -15*o, 30 = 5*q - 2*o. Solve -8 = -0*u + q*u for u.
-1
Let v be (-2)/12 - 2/(-12). Suppose 4*n + 3*j = -v*n + 744, n - 185 = -j. Let c be n/35 + 6/(-15). Solve 11 = c*p - 14 for p.
5
Suppose -362*o - 20 = -366*o. Suppose 5*n = -6*b + 2*b - 75, 0 = -5*b + 3*n - 103. Let z be o/(b/(-18)) - 5/10. Solve -1 = -p + z for p.
5
Let s be (-2)/(-15) + 1630/375*40. Solve s = 35*v - 36 for v.
6
Let k(c) = -73*c + 59. Let d be k(4). Let r = -228 - d. Solve 10 = -r*m - 0 for m.
-2
Let b = -16377 + 16386. Solve -39 - b = 12*t for t.
-4
Let m(o) = -3*o - 34. Let y be m(-12). Let x be -1 - (1300/(-338) - y/13). Solve x*g = -10 + 25 for g.
5
Let y(t) = -48*t + 3938. Let a be y(81). Solve 0 = -163*s + 138*s + a for s.
2
Let y(o) = 2*o**3 + 4*o**2 - 5*o + 1. Let d be y(-5). Let f be (-2 + 0)*(d/8 + 3). Solve 4*p - f = -5 for p.
5
Let l(z) = -z**2 - 23*z - 13. Let b be l(-22). Let c be 2/b + (-79)/(-9). Let t be c/6*(-12)/(-9) + -2. Solve -k + 7 - 2 = t for k.
5
Suppose 5*j - 4*a = -494, 4*j - 2*j + 191 = -5*a. Let n = -80 - j. Solve 5*x - n = -x for x.
3
Let p(o) = o + 1. Suppose -38*t = -32*t - 12. Let y be p(t). Solve 1 = -g - y for g.
-4
Suppose 2*b = 2*c - 0*c - 6, 25 = 5*b + 3*c. Let j(y) = y**2 - 94*y + 2211. Let z be j(45). Solve -b - 22 = z*r for r.
-4
Suppose 48 = 3*n - 5*d - 24, 5*n + 2*d - 120 = 0. Let z be 6/(-10)*80/n*-3. Solve 2*m - 4*m = -z*m for m.
0
Let o = -111 + 136. Suppose -o*l = -30*l. Let h = 0 - -2. Solve -h*a - 10 = -l*a for a.
-5
Suppose -74*i + 145*i - 22578 = 0. Solve n = -i + 322 for n.
4
Let d be 39*(-9)/(-27) + -13. Solve -12*x + 25 + 35 = d for x.
5
Let n = 172 - 168. Let m be (12/3 - n)*-1. Solve 65*k - 66*k - 4 = m for k.
-4
Let k = 19942 - 19942. Let g(r) = r**3 + 2*r**2 - 4*r. Let z be g(-3). Solve -z*t + 9*t = k for t.
0
Let a = 6327 - 5939. Solve -a*c = -392*c + 16 for c.
4
Let x(p) = 3*p - 18. Let n be x(7). Let y(c) = -54*c**2 + 24*c**2 - c + 48*c**2 - c**n + 20. Let i be y(18). Solve 2*g - 2 = i for g.
2
Let j = -24 + 30. Let t(g) = 2*g**3 - 14*g**2 + 8*g - 6. Let y be t(j). Let x be -4 + ((-14)/5)/(12/y). Solve -x*h = -2*h for h.
0
Let i(y) = 35*y**2 + 7*y + 26. Let g be i(-3). Solve -2*d - g = 38*d for d.
-8
Let v be 9/(-6)*20/(-15). Suppose 0 = -v*b - 12 + 82. Solve -34*y = -b*y for y.
0
Let n(o) = 2*o**3 + 21*o**2 - 43*o - 38. Let t be n(-12). Solve -3 = -49*r + t for r.
1
Let h = 792 - 795. Let s(l) = l**3 + 2*l**2 - 6*l - 9. Let n be s(h). Let j(y) = -4*y**3 + y**2 + y. Let a be j(-1). Solve -a + n = -x for x.
4
Let v = 3137 + -3130. Solve -715*c = -722*c + v for c.
1
Let m be 930/(-9) + (-7)/((-105)/20). Let i be (-3864)/m + 4/34. Suppose 3*a - 3*f - 26 = 2*a, f = -2*a + i. Solve -4*q = -0*q + a for q.
-5
Suppose b - 4*x = 9, -4*b = -408*x + 404*x - 12. Solve -29*p + b = -231 for p.
8
Let t = -339 - -349. Suppose -2*c = 12*d - t*d - 12, -3*c + 4 = d. Solve d = -7*u - 21 for u.
-4
Let k(j) = 19*j - 15. Suppose -6*l + 25*l - 57 = 0. Suppose -4*n - 3*u - 8 = 0, l*u + u = -3*n - 13. Let v be k(n). Solve 0*p + 4*p = -v for p.
-1
Let z be ((-15)/18)/(-5)*12. Let i be (1 - z) + (-299)/(-23). Solve -2*o - 2*o = -i for o.
3
Suppose l - 6*l = 105. Let b = 24 + l. Let q(h) = -h - 8. Let c be q(-8). Solve c*g + b = -g for g.
-3
Let b be 4 - 1 - 1 - ((-56)/4 - -11). Solve b*i = -19*i - 48 for i.
-2
Suppose -11*a + a = -230. Suppose u - s - 13 = -6, -4*u = -5*s - a. Solve 0 = 4*i + u + 4 for i.
-4
Let x(w) = 3*w**2 - w + 2. Let q be x(0). Suppose q*d + 3*d = 3*l + 26, 0 = -5*d - 2*l + 16. Let n be (d + -6)*1 + 6. Solve -n*r - 6 - 6 = 0 for r.
-3
Let v be -1 + 1 + 1 + 23. Let h be ((-1460)/(-100) - 17)/((-4)/10) + -4. Suppose 5*c + 2*u = 48, -c - h*u = 2*u - v. Solve -7*k = -c*k for k.
0
Let v = -12099 - -12144. Solve -158*k = -149*k + v for k.
-5
Let b(q) = -q**3 - 8*q**2 - 7*q - 12. Suppose 43 = -5*c + 2*y, 2*c + y = -2 - 8. Let m be b(c). Let a be 1/(1 + m/15). Solve -a*s = -2 - 8 for s.
2
Let f = 18771 - 18706. Solve 0 = 106*p - f*p - 246 for p.
6
Let s(i) = i**2 - 6*i + 8. Let r be s(10). Let b be 36/(-16)*r/9. Let o = b + 20. Solve 0 = -5*m + o + 7 for m.
3
Let l(a) = 35*a**2 + 194*a**3 - 193*a**3 + 27 - 7*a + 41*a. Let i be l(-34). Solve -9*z = i - 9 for z.
-2
Let c = 6 + -4. Suppose -r - 27 + 53 = 18. Solve -c*a = 2*a + r for a.
-2
Let i be -90 - 0 - (-8 - -4)*1. Let k = i + 106. Solve 0*m + 4*m + k = 0 for m.
-5
Let z(r) = -r**2 - 27*r - 21. Let a be z(-23). Let f = a + -4. Suppose f = 5*u + 67. Solve -2*h - 3*h + 10 = u for h.
2
Let u = 2 - -6. Suppose -1720*v = -1711*v + 756. Let l = v + 84. Solve l = u*h - 4*h - 16 for h.
4
Suppose f - 11 + 7 = -3*y, -2 = 4*y + 5*f. Suppose 3*a = y*a + 2*a. Let d be ((a - 1) + 1)/(-2). Solve -5*n + 38 - 13 = d for n.
5
Let v(x) = x**3 - 22*x**2 - 21*x - 7. Let r be v(23). Let o be (-2 - -1)/(36/r - 1). Solve 8*u - o*u = 10 for u.
-2
Suppose 2*x + 164 = -0*c + 4*c, 5*x = -c + 19. Suppose -c = 2*z - 15*z. Solve a - 8 = -z for a.
5
Let m(h) = -3*h**2 + 41*h - 97. Let r be m(10). Solve r*a - 4 = 11*a for a.
2
Let r = -3377 - -3433. Solve -96 = -10*y - r for y.
4
Let u be 2 - (-16)/(-32) - (-6)/4. Solve -13*n - 40 = -u*n for n.
-4
Let w = 155 + -130. Suppose d = -4*y + 41, -5*y + w + 15 = 5*d. Suppose -6*i + y*i = 15. Solve 0 = i*u - 1 + 7 for u.
-2
Let h = -239 + 244. Let j be 3 - (-13 + 7 + h). Solve -j*y - 7 = 5 for y.
-3
Let y(z) be the first derivative of -z**4/24 + 5*z**3/3 + 17*z**2/2 + 7. Let v(g) be the second derivative of y(g). Let o be v(8). Solve -o*l = -4*l + 2 for l.
1
Let r be 24/32 + (-34)/(-8). Suppose -r*f = -3*f - 3*f. Suppose 4*x = 4*m - 16, 2*x + f = m - 6. Solve m*d = -2*d - 4 for d.
-1
Let m be (-3)/18 + (-2)/(-9)*12705/140. Solve -5*b - m = 5*b for b.
-2
Let j(r) = -r**3 - 35*r**2 + 12*r + 328. Let b be j(-35). Let g = -144 + 239. Let l = g + b. Solve d = -l*d for d.
0
Let a = -42 + 43. Let b(y) = 5*y**3 - 4*y + 3. Let j be b(a). Suppose -3*p + p = -j*p. Solve 3*n = -p*n + 12 for n.
4
Let a = 5970 + -5893. Solve a*h - 4 = 79*h for h.
-2
Let y(u) = -u - 10. Let q(d) be the third derivative of d**4/24 - 11*d**2. Let i(o) = -2*q(o) - y(o). Let n be i(8). Solve 3*z - n*z = 0 for z.
0
Let d = -31532 - -31610. Solve -d = -14*m - 36 for m.
3
Let y = -89 + 89. Let p(o) = 6*o**2 + o. Let i be p(-1). Suppose y = -i*h + 12*h - 42. Solve 4*w - 14 = h for w.
5
Suppose -4*b + 12 = 2*i, -5*i + 1012 = -4*b + 1010. Solve -51*z + b = -52*z for z.
-2
Let r be (4 - 7) + 15 - -16. Solve 3*a - r = -4*a for a.
4
Let c be (11
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k + 4 + i = 0. Let s(d) = d - 4. Give s(k).
-9
Let k(w) = -w + 2. Let h be k(-2). Let q(d) = -2 + d + 4*d - 2*d - h*d. What is q(-3)?
1
Let y be 1 + 0 + -2 + 18. Let v be y/5 + (-16)/40. Let p(b) = -b**3 + 2*b**2 + 2. What is p(v)?
-7
Let i(p) = -p**3 - 4*p**2 + 3*p + 2. Let v(c) = c**3 + 5*c**2 - 14*c - 5. Let g be v(-7). Calculate i(g).
12
Let a(b) be the first derivative of b**2/2 + 5*b + 16. Determine a(-7).
-2
Suppose 8 - 23 = h - 5*n, -2*h + 3*n = 16. Let p(m) = m + 3. Calculate p(h).
-2
Let h(z) = -z**3 + 5*z**2 + z - 5. Suppose -16 = -2*i - 2*i. Suppose 3*q + 10 = 2*a, 6 = -i*q + a + 1. Let o be (-1)/(q + 2/(-10)). Calculate h(o).
0
Suppose -1 = -f - 3. Let g(s) be the first derivative of s**5/40 + s**4/24 - 2*s**3/3 - 1. Let q(d) be the third derivative of g(d). Calculate q(f).
-5
Let b be 3/4 - (-2)/8. Let j(t) = 2*t + t**3 + 1 - b + 5*t**2. Suppose -2*h + 1 = 9. Calculate j(h).
8
Let p(a) = -a**2 + 4*a - 2. Suppose -2*y + 4*z + 20 = 0, -4*y = -5*y + 3*z + 12. Give p(y).
-14
Let i(q) = -q - 7. Suppose 0 = 4*g + 7*h - 3*h, h = -4*g - 9. Let u be (2/g)/(12/108). Determine i(u).
-1
Let f(z) = 2*z - 4*z**2 + 0*z - 6 + 2 + z**3. Suppose 4*h - 15 = 9. Suppose -i = -h*i + 15. Determine f(i).
-7
Let m = 10 + -7. Suppose 7*r = m*r + 4. Let g(n) = 4*n - 3*n + r - 2*n. Calculate g(2).
-1
Let u(x) be the third derivative of -x**6/120 - x**4/24 + 7*x**3/6 + 2*x**2. Let q = -5 + 13. Let o be 0/((-1)/((-4)/q)). What is u(o)?
7
Let n(c) = -10*c**2 - 2*c + 3*c**2 + 6*c**2 - 2. Give n(-2).
-2
Let j(z) = -z**2 + 5*z - 1. Let b be j(5). Let r(o) = o**2 - o + 1. Let v(s) = 6*s - 8. Let n(m) = b*r(m) + v(m). What is n(6)?
-3
Let y(s) = -2*s**3 + s**3 - 10 + 6*s**2 + 8*s + 4. Give y(7).
1
Let d(f) = 8 + 12*f**2 + 5*f - 5*f**2 - 8*f**2. Calculate d(7).
-6
Let v(o) = -1 + 5*o + 4 - 2. Let s = 14 + 5. Let b = -17 + s. What is v(b)?
11
Let g(k) = -6*k**2 + 13*k - 6. Let b = -20 + 25. Let j(p) = -7*p**2 + 14*p - 7. Let n(u) = b*j(u) - 6*g(u). Determine n(8).
1
Let i = -5 - -9. Let q(b) be the third derivative of 1/60*b**5 + 0 - b**2 + 1/12*b**i + 0*b + 1/6*b**3. Give q(-1).
0
Let f(d) be the first derivative of 0*d**2 + 2/3*d**3 - 7/24*d**4 + 0*d + 1/120*d**5 + 3. Let l(g) be the third derivative of f(g). What is l(0)?
-7
Let w(y) = -2*y + 3. Let t be 9/(-45) + 21/5 + -2. What is w(t)?
-1
Let m(l) = -l**3 + 5*l**2 + 5*l + 4. Suppose -4*b - 5*i = 0, 4*i + 31 = 2*b + b. What is m(b)?
29
Let y(u) be the second derivative of u**3/6 + 2*u**2 + u - 2. Give y(3).
7
Let b(s) = -14*s - 14. Let g(m) = 5*m + 5. Let p(v) = 6*b(v) + 17*g(v). Give p(-5).
-4
Let h(g) = -7*g**2 + 1. Let d be 6/(-6) - (-1 + 8). Suppose 0*m + 8 = 4*m. Let q be (-4)/d*(-4 + m). What is h(q)?
-6
Suppose 5*i + 26 = 3*k, -k + 6*i - 3*i = -14. Let j be -3 + k - (4 - 3). Let t(b) = 3*b + 1. Determine t(j).
-5
Let a(m) = 11*m**3 + m. Suppose 6*s - s = 5. Calculate a(s).
12
Let o(l) = -6*l - 3*l**2 + 4 + 2 + 5*l**2 - 3*l**2. Determine o(-6).
6
Let d(t) = t - 19. Let j be d(14). Let f(q) = -3*q + 3. Let p(s) = 3*s - 4. Let v(o) = 5*f(o) + 4*p(o). Determine v(j).
14
Let q(r) be the third derivative of r**5/60 - r**4/24 - 5*r**3/6 - r**2. Let x(z) = -z**3 - 5*z**2 - 4*z. Let i be x(-4). Determine q(i).
-5
Let a(r) = 6*r**2 + r. Suppose 3*k - 4 = 8. Suppose 3*w + 1 - k = 0. What is a(w)?
7
Let c = 2 - 0. Let u(g) = 2*g**2 - 2*g. Let f be u(2). Let j(s) = -4 - f + 6 + s**2 + 3*s. Calculate j(c).
8
Let t(v) be the third derivative of v**6/360 - v**4/24 + 5*v**3/6 + 5*v**2. Let b(c) be the first derivative of t(c). Determine b(-2).
3
Let t = 10 - 7. Suppose o = 1, -f - 2*o + 3 = -3. Suppose 0 = -t*q - 4*u - 6, 2*q + 1 + f = -3*u. Let c(k) = -2*k + 3. Determine c(q).
-1
Let k(v) be the first derivative of v**5/60 - 7*v**4/24 + 2*v**3/3 - 5*v**2/2 - 1. Let g(f) be the second derivative of k(f). Give g(5).
-6
Let i(v) = -6*v + 3. Let d be i(-1). Let g(s) = s - 11. Determine g(d).
-2
Let b = 0 - -1. Let n be (b/(-2))/((-1)/(-4)). Let v(w) = 5*w**2 - 2*w + 5. Let t(y) = 2*y**2 - y + 2. Let h(i) = 3*t(i) - v(i). Calculate h(n).
7
Let y = -8 + 6. Let v(x) = -7*x + 7. Let i(d) = 3*d - 3. Let t(r) = 10*i(r) + 4*v(r). What is t(y)?
-6
Let y(d) be the third derivative of -1/15*d**5 - 1/2*d**3 + 0 + 1/24*d**4 + 0*d - 1/120*d**6 + 5*d**2. Give y(-4).
-7
Let t = -3 - -6. Let x(d) = d**3 - d - 1. Let z(f) = -4*f**3 - f**2 + 2*f + 4. Let s(r) = 5*x(r) + z(r). Give s(t).
8
Suppose 0 = 2*j - 5*s + 13, 0 = -3*j - 2*s - 5 + 14. Suppose d - j = -0*d. Let w(u) = -6*u**2 - 1. Give w(d).
-7
Let b(l) be the first derivative of -l**5/60 + l**4/6 + l**3/2 - 3*l**2/2 + 4. Let y(n) be the second derivative of b(n). Determine y(-2).
-9
Let v(z) = z**3 - 2*z**2 - 4*z + 3. Let m(r) = r**3 - r**2 - 5*r + 4. Let p(g) = 2*m(g) - 3*v(g). Give p(4).
7
Let t(r) = r**2 - 8*r + 9. Let z = 7 + -3. Suppose -5*b + z = 2*k - 3*k, 8 = k + b. Give t(k).
-3
Let n(q) be the first derivative of q**6/120 - q**5/10 + 5*q**4/24 + q**3/6 - 2*q**2 - 3. Let m(r) be the second derivative of n(r). Give m(4).
-11
Let k(f) = -2*f**2 - 5*f - 3. Let a(g) = g + 8. Let l be a(-9). Let i = -17 - -9. Let u be l/2 + 20/i. What is k(u)?
-6
Let b(g) = g**3 + 5*g**2 - 7*g + 3. Suppose 0 = 4*x - 2*n - 128, -x + 54 = 7*n - 2*n. Suppose x = -4*w + 10. Calculate b(w).
9
Suppose -3*n - 25 = -5*w + 2*n, 5*w + 5*n + 5 = 0. Let a(s) be the first derivative of -1 + 5*s + 3/2*s**w. Give a(-4).
-7
Suppose 0*a = -m + 2*a - 6, -3*m - a + 17 = 0. Let i(h) be the first derivative of h**4/4 - h**3 - 3*h**2/2 + 4*h + 3. Give i(m).
8
Let h(f) = -1. Let u(i) = 0*i + 4 + i - 6. Let z(n) = -5*h(n) - u(n). Let r be z(6). Let p(q) = -12*q**2 - q + 1. What is p(r)?
-12
Let x be 1/2*2 - -1. Suppose 0*g - 6 = -f + 4*g, -4*g = x*f. Let o(u) = 3*u - 2*u**2 - 6*u**2 - 3 - 2*u**3 + 10*u**2 + 0*u**3. Give o(f).
-5
Let v(j) = -j**2 + 4*j - 3. Let g be v(2). Let n(p) = 8*p + 1 + 1 - g. Determine n(-1).
-7
Let k(x) be the second derivative of 2*x + 0 + 1/6*x**3 + 1/24*x**4 - 1/2*x**2. Let y(j) be the first derivative of k(j). Give y(-3).
-2
Suppose 0 = -3*x + 6*x. Let p(j) be the third derivative of 0*j**4 + j**2 + 0 + 1/60*j**5 + x*j + 1/2*j**3. Give p(0).
3
Let f(z) = z**2 + 5*z + 2. Let l be f(-2). Let v(p) = p - 1. Determine v(l).
-5
Let d(h) be the second derivative of h**4/12 + 5*h**3/6 + 2*h**2 + 21*h. Give d(-4).
0
Let q(u) = u**3 + 4*u**2 + 5. Let m(b) = -b + 6. Let y be m(6). Let l be (y/(-2) - 4)/1. Determine q(l).
5
Let w(z) be the first derivative of -z**4/4 + 5*z**3/3 - 3*z**2/2 + z - 3. Determine w(4).
5
Suppose 2*l - 5 = -3*f + 3, 2*l + 4 = 3*f. Let x(g) be the first derivative of 2*g**3/3 - g - 1. Determine x(l).
1
Let v(u) = u - 1. Let z(m) = -5*m + 14. Let d(g) = -6*v(g) - z(g). Let i be (-7 + 0 + 7)/(-1). Determine d(i).
-8
Let w(n) = -8*n. Suppose 2*t - 3*t - 14 = -5*m, -15 = -5*m. Give w(t).
-8
Suppose -20 = -3*a - 4*w, -w + 5 = 4*a - 0. Suppose -10 = -2*h - a*f - 4*f, -4*h + 5*f - 32 = 0. Let i(m) = m**3 + 3*m**2 + m - 4. Determine i(h).
-7
Let q(s) be the second derivative of s**5/20 - s**4/3 - s**3 - 3*s**2/2 + 9*s. Give q(6).
33
Let t(g) = -3*g**2 + g + 2. Suppose 0 = 3*k - 9, 5*h + 4 - 34 = -5*k. Suppose 4*y = h + 5. Determine t(y).
-8
Let u = -5 + 8. Let z be -1 + 0 + u + -2. Let k(j) = -j + 7. Calculate k(z).
7
Let v(o) be the first derivative of o**6/360 - o**5/30 - o**4/12 - o**3 - 3. Let b(h) be the third derivative of v(h). Determine b(4).
-2
Let a = 0 - -4. Let k be (6/a)/((-3)/(-4)). Let z(p) = 1 - 2*p + 2*p**k + 1 - 1. Calculate z(2).
5
Let d(m) be the second derivative of -m**6/120 - m**5/10 - m**4/24 + m**3/3 + 2*m**2 + 6*m. Let l(c) be the first derivative of d(c). Calculate l(-6).
8
Let d(k) = -8*k**2 + 12*k - 2. Let u(f) = -3*f**2 + 6*f - 1. Let m(t) = 2*d(t) - 5*u(t). Give m(-7).
-6
Let d(k) = k**3 + 5*k**2 - 6*k + 2. Suppose -5*p + 3*t = -0*t + 36, -4*p - 22 = t. Give d(p).
2
Let o(k) = 5*k + 30. Let p(t) = 2*t + 10. Let z(l) = 3*o(l) - 8*p(l). What is z(7)?
3
Let d = 5 + 14. Suppose -2*g + g = 4*c - d, -5*c + 4*g + 29 = 0. Let k(u) = 6 + 0 + 4*u - 5*u. What is k(c)?
1
Let p(v) = -2*v**2 - 4*v**3 - 3*v + 3*v**3 + 9*v - 4*v - 3. Suppose 2*k - 4 = 0, -5*k + 16 = -2*a - 2*k. Let x = a + 2. Determine p(x).
0
Let b(y) be the third derivative of -y**6/120 + y**5/10 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ive of -93287*s**5 - 73305*s.
-1865740*s**3
What is the first derivative of 4*w**2 - 53513*w + 156117?
8*w - 53513
What is the second derivative of -t*u**2 + 2*t*u + 24686*u**2 + 3*u - 7498 wrt u?
-2*t + 49372
What is the third derivative of 113*x**4 - 309*x**3 + 3*x**2 + 17539*x wrt x?
2712*x - 1854
What is the first derivative of -6*i*m**4*u + 10*i*m**2 + 9*i*u - 371*i - 20*m**2*u - 11*u + 2 wrt m?
-24*i*m**3*u + 20*i*m - 40*m*u
What is the first derivative of -117799*f*q + f + 11*q + 550336 wrt q?
-117799*f + 11
What is the second derivative of -15800*d**5 + 8*d**4 - d**2 + 6291*d wrt d?
-316000*d**3 + 96*d**2 - 2
Find the second derivative of -124*x**5 + 414*x**2 - 1003974*x.
-2480*x**3 + 828
Find the second derivative of 1029446*b**2*n**2 + b**2*n + 3*b**2 - 27214*b*n - n wrt n.
2058892*b**2
Differentiate h**3*i + 421*h**3 - 2*h**2*i + 23717*h*i*r - 888*h*r wrt i.
h**3 - 2*h**2 + 23717*h*r
Find the second derivative of 310706*l**2 + 16009*l.
621412
Find the second derivative of 321910*y**5 + 16944*y - 1 wrt y.
6438200*y**3
Find the second derivative of 6*c**4 + 2*c**3 + 1449*c**2 + 58903*c.
72*c**2 + 12*c + 2898
What is the derivative of 2132*g**3 + 7*g**2*w - g**2 + 745*w + 60 wrt g?
6396*g**2 + 14*g*w - 2*g
What is the second derivative of -2693901*d**2 - 3*d + 73677?
-5387802
Find the third derivative of -63*q**6 - 1216*q**3 + 352268*q**2 wrt q.
-7560*q**3 - 7296
What is the second derivative of -2517768*i**4 - 579*i + 166?
-30213216*i**2
What is the third derivative of 295707*r**2*x**3 - 639*r**2*x**2 - 657*r**2*x + r wrt x?
1774242*r**2
What is the third derivative of m**3*z**3 - 2*m**3*z - 5*m**2*z**2 - 47672*m*z**3 - 5*z**2 - 6222*z - 2 wrt z?
6*m**3 - 286032*m
Differentiate -23*i**2*k + 10155*i*k + 1107233*k with respect to i.
-46*i*k + 10155*k
Find the third derivative of -8*a**5*b + 296*a**4*b**2 + 22996*a**2*b**2 + 2*b**2 wrt a.
-480*a**2*b + 7104*a*b**2
Find the second derivative of 25*o*y**3 + 327*o*y**2 - 4*o*y - 10*o + y**3 + 2*y - 14 wrt y.
150*o*y + 654*o + 6*y
Find the first derivative of -133414*d - 44480.
-133414
What is the third derivative of -1734296*z**5 + 2*z**4 + z**3 + 3317281*z**2 wrt z?
-104057760*z**2 + 48*z + 6
What is the second derivative of 1618*v**4 + 212*v**2 - 1274174*v + 1 wrt v?
19416*v**2 + 424
Differentiate -1355*n**3*w**3 - 196361*n**3 - 141*w**4 wrt w.
-4065*n**3*w**2 - 564*w**3
What is the third derivative of -155610*g*j*l**6 + 8*g*j*l**2 + 2*g*j*l - 2*g*j + g*l**5 + 16180*g*l - 3*g + j wrt l?
-18673200*g*j*l**3 + 60*g*l**2
What is the second derivative of 848368*t**3 - 208*t - 2073 wrt t?
5090208*t
Find the third derivative of -79*r**4 + 4065*r**3 - r**2 - 87*r + 3830 wrt r.
-1896*r + 24390
Find the third derivative of -46341*x**5 - 5*x**2 - 4563 wrt x.
-2780460*x**2
Differentiate 34205*f - 34673 with respect to f.
34205
Find the second derivative of -2*q**4 + 1202*q**3 + 2*q**2 - 252*q + 509 wrt q.
-24*q**2 + 7212*q + 4
What is the second derivative of -4*l**3 - 12081*l**2 - 673201*l wrt l?
-24*l - 24162
What is the second derivative of -195066*d**4 + 6*d - 31559 wrt d?
-2340792*d**2
What is the second derivative of 1292*m**3*q**2 - 97*m**3*q + 15*m**2*q**2 - 5*q wrt q?
2584*m**3 + 30*m**2
Differentiate 648*h**3 - 40*h**2 - h - 433528.
1944*h**2 - 80*h - 1
Find the third derivative of -2*c**3*l**2 + 3502998*c**3*l + 478818*c**2*l**2 - 4*c*l**2 wrt c.
-12*l**2 + 21017988*l
Differentiate 2*g**2 + 2*g*j*t**2 + 7*g*t**2 + 40*g + 2*j*t**2 - j*t - 3*j - 104*t**2 + t with respect to g.
4*g + 2*j*t**2 + 7*t**2 + 40
Find the third derivative of -16*l**3*v - 727*l**3 - 11034*l**2*v + 4*l**2 wrt l.
-96*v - 4362
What is the second derivative of 3*q**4 - 566*q**2 + 13314*q wrt q?
36*q**2 - 1132
Differentiate -13*a**3 - 143*a + 14216.
-39*a**2 - 143
Find the first derivative of 29*d*v**4 + 3391*d*v**2 + 305915*d wrt v.
116*d*v**3 + 6782*d*v
Find the third derivative of 114816*h**5 - 2*h**3 + 3*h**2 + 12549*h.
6888960*h**2 - 12
What is the first derivative of 2*p**2*z**2 - 14*p**2*z + 170773*p**2 - 122*p*z wrt z?
4*p**2*z - 14*p**2 - 122*p
What is the derivative of 3343518*d*f**3*i**3 - 13*f**3 + 2*f**2*i**3 + 31*f**2*i**2 - 570*f*i**3 + i**3 wrt d?
3343518*f**3*i**3
Differentiate -551*c*j + 2*c + 57*j + 61799 with respect to j.
-551*c + 57
What is the third derivative of -4*j**4 - 41155*j**3 + 22464*j**2 + 8*j?
-96*j - 246930
What is the third derivative of -a**5 - 61466*a**3 + 2*a**2 + 13734?
-60*a**2 - 368796
Differentiate -8422*n**3*x**2 + 161*n*x**3 + 2*x**3 + 474*x**2 + 59 with respect to n.
-25266*n**2*x**2 + 161*x**3
What is the first derivative of 6*i**3*j**3 + 3*i**3 + 18*i*j*q + 9*j**3*q - 6*j**2 + 4*j*q - 4*j wrt i?
18*i**2*j**3 + 9*i**2 + 18*j*q
What is the second derivative of -1682*b**3 + 298*b**2 + b - 63347?
-10092*b + 596
Find the third derivative of 830*c**4 + 1250*c**3 - 23*c**2 - 7393 wrt c.
19920*c + 7500
What is the second derivative of -51411*s**3 - 2*s - 5551 wrt s?
-308466*s
Differentiate 20*b**3*k + 85770*b**2*k + 2008713*k - 1 wrt b.
60*b**2*k + 171540*b*k
What is the derivative of 2630*c**3*s**3*t - 430*c**3*s - 38*c**2*s**3*t + 254*c*s**3 wrt t?
2630*c**3*s**3 - 38*c**2*s**3
Find the third derivative of f**5 - 65362*f**4*t**3 + 5*f**2*t**2 + 674*f*t**3 - 11*f*t**2 + 2*t - 1 wrt f.
60*f**2 - 1568688*f*t**3
Find the third derivative of -3*m**3*s**2 + 295*m**3*s - 7*m**3 + 40*m**2*s**2 + 27*m**2*s + m*s**2 + 5*s**2 wrt m.
-18*s**2 + 1770*s - 42
What is the second derivative of -4*c*m**5 + 34278*c*m**2 - 29*c*m - c - 2*m + 363 wrt m?
-80*c*m**3 + 68556*c
What is the third derivative of -822*b**6 - 2*b**5 + 8*b**4 + 72952*b**2?
-98640*b**3 - 120*b**2 + 192*b
What is the third derivative of 126472*w**6 + w**5 - 2*w**3 + 3*w**2 + 40117*w?
15176640*w**3 + 60*w**2 - 12
Find the third derivative of 1010*j**2*s**3 + 58*j**2*s**2 - 3*j**2 - 34*j*o**2*s**3 - 3*j*o - o**2*s**2 wrt s.
6060*j**2 - 204*j*o**2
Find the second derivative of -5103549*k**3 + 226399*k wrt k.
-30621294*k
What is the third derivative of 13*d*f**3*z**3 - 35*d*f**3*z**2 + 2*d*f**3*z + 13*d*f**2*z**2 - 2*d*z**3 + 5*d*z + 64009*z**3 wrt z?
78*d*f**3 - 12*d + 384054
What is the third derivative of 19221*d**4 - 2*d**3 - 174104*d**2?
461304*d - 12
What is the first derivative of 1024*j**2 + 15*j + 42258 wrt j?
2048*j + 15
What is the third derivative of 15*w**4 + 42820*w**3 + 41*w**2 - 18*w - 411?
360*w + 256920
What is the third derivative of -1668*l**2*n**4*x**2 + 20*l**2*n**2*x - l**2*n**2 + 54*l**2*n*x**2 + 686*l*n**4 - 13*n*x**2 wrt n?
-40032*l**2*n*x**2 + 16464*l*n
What is the second derivative of 57072*b*s**2 - b*s + 180*b - s + 10 wrt s?
114144*b
Differentiate 503*i**4*p**2 + 120332*p**2 wrt i.
2012*i**3*p**2
Differentiate -105*o**3 + 496*o**2 - 2*o + 280312 with respect to o.
-315*o**2 + 992*o - 2
Differentiate -82530*w**3 + 58517.
-247590*w**2
Find the third derivative of -2689*u**6 + u**4*x - 144*u**2*x + 24*u**2 + 2*u*x wrt u.
-322680*u**3 + 24*u*x
Find the first derivative of -j*l*v + 13306*j*v - 70*l*v + 358*l wrt j.
-l*v + 13306*v
What is the third derivative of -239670*l**3 + 91670*l**2 + 3 wrt l?
-1438020
What is the first derivative of o**2 - 6473*o + 119424?
2*o - 6473
Find the third derivative of 30*x**6 + 36*x**5 - 12*x**3 - 464650*x**2.
3600*x**3 + 2160*x**2 - 72
Find the third derivative of 1176*z**6 - 111*z**5 - 2*z**3 - 313084*z**2 wrt z.
141120*z**3 - 6660*z**2 - 12
Find the second derivative of 13831*d**4 - 2*d**3 - 304485*d.
165972*d**2 - 12*d
Differentiate 75*j**2*w**2 - 106*j*w**3 - 4*w**3 - 1143 wrt j.
150*j*w**2 - 106*w**3
What is the second derivative of -138407*a**3 - 156832*a wrt a?
-830442*a
Find the second derivative of h**3*i**2 - 71508*h**3*i - 31*i**5 - 31622*i**2 + 2*i wrt i.
2*h**3 - 620*i**3 - 63244
Differentiate 13391*b*g*i**3 - 2*b*g*i**2 - 12*b*g - 158*g*i**2 + 94*g - i**3 with respect to b.
13391*g*i**3 - 2*g*i**2 - 12*g
Find the second derivative of -808*y**3 - 30*y**2 - 20*y + 2462 wrt y.
-4848*y - 60
Find the first derivative of 17*g**2*x**2 - 12471*g**2 + 93*g*x**2 + x**2 wrt x.
34*g**2*x + 186*g*x + 2*x
Find the third derivative of 11*h*s**4 - 2*h*s**3 + 2*h*s**2 + 63*h*s - 3*h + 19*s**4 - 114*s**3 + 144*s**2 wrt s.
264*h*s - 12*h + 456*s - 684
Find the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when (0 + 1 + 297)/1 is divided by r?
10
Let c(x) = 12*x - 7. Let d be c(-2). Suppose h = -y + 40, -3*y - 5*h = -2*y - 48. Calculate the remainder when (-790)/(-7) - d/217 is divided by y.
37
Let m(o) = 95*o**2 - 150*o - 297. Let s(f) = 19*f - 2. Calculate the remainder when m(-2) is divided by s(3).
53
Let v(n) = 358*n + 2434. What is the remainder when v(0) is divided by 56?
26
Let m = 6420 - 6366. Calculate the remainder when m is divided by 5.
4
Let l(o) = 94*o + 26. Calculate the remainder when 238 is divided by l(0).
4
Let u(q) = q**3 + 9*q**2 - 4*q - 20. Let p be u(-9). Suppose -82 = -7*d + p. What is the remainder when 55 is divided by d?
13
Suppose u + 5*l + 22 = 53, 5*l - 93 = -3*u. Calculate the remainder when 3718 is divided by u.
29
Let l(r) = -8*r + 1. Let f = -196 + 195. Calculate the remainder when 10 is divided by l(f).
1
Suppose 575 = 3*d + 2*d. Suppose -1521*i - 21011 + 31982 + 36180 = 0. Calculate the remainder when d is divided by i.
22
Suppose 7*m - 6*m = 79. Let j = -14 + m. What is the remainder when j is divided by 34?
31
Let h(f) = 10*f + 125. Let i be h(-13). Suppose 4*z + 34 = 646. What is the remainder when z is divided by (78/i)/((-48)/80)?
23
Let l = 14 + 5. What is the remainder when l is divided by 641/4487 - (55/(-7) - 0)?
3
Let t(b) = 2*b**2 + 66*b + 4533. What is the remainder when t(-76) is divided by 8?
5
Let h = 1654 + -1600. Suppose 896*t + h = 902*t. What is the remainder when t is divided by 7 + -1*(-1 + 0)?
1
Suppose 5*t - t + 2*d = 254, 5*d = -5*t + 315. Let b = 68 - t. What is the remainder when 28 is divided by 15 + -4 - (b/2)/2?
8
Let a = 354 - 338. What is the remainder when 123 is divided by a?
11
Let f(t) = t**2 + 4*t + 5. Suppose 25 = 5*g, 2*c = -5*g + 12 + 21. What is the remainder when 40 is divided by f(c)?
3
Let f = 38430 + -38204. Calculate the remainder when 1349 is divided by f.
219
Let d(r) = 172*r**2 + 1545*r - 3. Calculate the remainder when 1243 is divided by d(-9).
19
Suppose 0 = -28*l + 25*l + 87. What is the remainder when 314 is divided by l?
24
Let z = 57 + -54. Suppose r - 2*t = 3*t - 13, -3*r + 3*t = z. Suppose -3*d = r*s - 9, -3*d + s = -3*s - 27. Calculate the remainder when 7 is divided by d.
2
Suppose 3*h + 5*i + 167 - 750 = 0, -4*h + i + 785 = 0. What is the remainder when 407 is divided by h?
15
Let o be 1786/6 - -5 - (-5)/(-3). Suppose 2*p - 3*p = 2*u - o, -1530 = -5*p - 5*u. Calculate the remainder when p is divided by 12.
11
Suppose 28*j - 5*j = 184. Calculate the remainder when ((-7)/(-21))/((-4)/(-1044)) is divided by j.
7
Suppose 19*k = 12*k + 7. Let f(i) = -77*i + 66. Let b(z) = 6*z - 5. Let n(l) = 66*b(l) + 5*f(l). Calculate the remainder when 74 is divided by n(k).
8
Suppose 36 = -8*m + 14*m. What is the remainder when 89 is divided by -4 - -44*4/(m - -2)?
17
Let y(s) = 5*s - 7. Let b be y(5). Let r = 29 - b. Let g = -72375 - -72380. What is the remainder when r is divided by g?
1
Let l(s) = s - 18. Let f be l(22). Suppose -5*j + f*i + 4 = 0, 4*j - 4 = -3*i + 6*i. Calculate the remainder when 15 is divided by j.
3
Let z(k) = -k**2 + 47*k - 165. Let t be z(4). Suppose -4*h + 3*d = -2010, d + 502 = -6*h + t*h. Calculate the remainder when h is divided by 39.
36
Suppose 5*v - 287 = -4*b + 300, -v + 5*b = -129. Let l = -350 + 415. What is the remainder when v is divided by l?
54
Suppose -3*a - 15*a - 342 = 0. Let l(r) = 2*r**2 + 40*r + 55. Calculate the remainder when 116 is divided by l(a).
14
Suppose 326*n = -354*n + 1865920. What is the remainder when n is divided by 89?
74
Suppose -3*b - 5*l + 5185 = 0, 6*b - 8610 = b - 2*l. What is the remainder when b/(-60)*(-15)/2 is divided by 12?
11
Suppose 0 = -29*p - 91726 + 272396. Calculate the remainder when p is divided by 201.
200
Let h = 17085 + 4296. Calculate the remainder when h is divided by 99.
96
Let r(n) = 5*n**2 + 10*n + 3. Let f be r(-2). Suppose -4*y - h = -253, 0*y + y - 55 = -f*h. What is the remainder when 190 is divided by y?
62
Let n(r) = 31*r + 184. What is the remainder when n(2) is divided by 125?
121
Suppose 7*m - 11*m = -336. Let i = 94 - m. What is the remainder when 42 is divided by i?
2
Let k(q) = q + 1. Let i(t) = 5*t - 3. Let l(h) = -i(h) + 4*k(h). Let f be l(4). Calculate the remainder when 68*(f/(-2) - (5 + -8)) is divided by 13.
11
Let o = 6794 + -6634. What is the remainder when 736 is divided by o?
96
Let l be 3 - (0 - (-3 + 0)). Let v = l + -23. Let t = v + 34. What is the remainder when t is divided by 6?
5
Let n(i) = i**3 - 13*i**2 - 3*i + 191. Calculate the remainder when 1666 is divided by n(13).
146
Let p = 105 + -162. Let z(j) = -j**3 + 23*j**2 - 3*j + 6. Let s be z(23). Let k = p - s. Calculate the remainder when 14 is divided by k.
2
Let z = 3129 + -3016. Calculate the remainder when 5308 is divided by z.
110
Suppose -p - p = -48. What is the remainder when 42/189 - (34384/36)/(-4) is divided by p?
23
Let n be ((-2)/(-5))/(5/450). Suppose -3*f + 1 = d - 11, n = 2*d + 2*f. Suppose 0 = -d*a + 24*a - 144. What is the remainder when a is divided by 10?
8
Let n(r) = r**2 - 7*r - 12. Let k be n(9). Suppose k*b + 197 = 635. Suppose b = 2*g - 33. Calculate the remainder when g is divided by 20.
13
Let m(y) = 55*y - 2. Suppose -5*z = 6*c - 9*c - 275, 5*z - 2*c = 275. What is the remainder when m(4) is divided by z?
53
Suppose 50*l = 3094 + 4306. What is the remainder when l is divided by 98?
50
Let q be (-4)/(-6)*3 - 0/1. Suppose 5*j + 22 = q. Let p = 20 - j. Calculate the remainder when p is divided by 9.
6
Let o(s) = -38*s - 78. Let f be o(-2). Let r = 27 - f. Calculate the remainder when r is divided by (-2 - -9 - -1) + 2.
9
Let y(f) = 24*f - 182. Calculate the remainder when 482 is divided by y(9).
6
Let s(i) = -13*i**2 + 474*i - 156. Calculate the remainder when 73 is divided by s(36).
13
Let l be 9478/210 - 2/15. Suppose 47*x - 56 = l*x. What is the remainder when 85 is divided by x?
1
Let m = 54088 - 54062. Let t(b) = 18*b**2 + 2*b. Calculate the remainder when t(2) is divided by m.
24
Let p be (-6)/2*14/21. Let i be (5 - 3)/(3 + p). Suppose 0 = -2*j + i*q + 116, 4*q = -2*j + 3*q + 119. Calculate the remainder when j is divided by 9.
5
Suppose 2*o - 2*c - 12 = 0, -3*o + 6 = -4*o - 2*c. Suppose -o*k + 88 = 2*k. Suppose 86*z = 66*z + 280. What is the remainder when k is divided by z?
8
Let v = 98 + -84. Suppose 3*f - 3*z - 180 = 0, 4*f + v*z - 13*z - 230 = 0. Suppose -24 = -2*h - 0*h. Calculate the remainder when f is divided by h.
10
Let u be (-362)/(-10) - (-8)/(-40). Suppose -5*p + 3*t = -0*p - 69, 4*p + 4*t - u = 0. Suppose 1 - p = -f. What is the remainder when 30 is divided by f?
8
Suppose -3*s = 4*t - t - 537, -4*s = 5*t - 716. Suppose -s = -3*r - 17. Suppose 3*u - 15 = 0, 5*u - 60 + 7 = -2*l. What is the remainder when r is divided by l?
12
Suppose -2*o + 76 - 56 = 2*k, 3*o + 2*k - 25 = 0. What is the remainder when 821 is divided by o?
1
Let r(g) = -4848*g - 12328. What is the remainder when r(-3) is divided by 223?
209
Let k(t) = 8*t**2 - 2*t + 1. Let v(m) be the first derivative of 7*m**3/3 - m**2 + m + 7. What is the remainder when k(1) is divided by v(1)?
1
Let l = -550 - -1463. What is the remainder when l is divided by 10?
3
Suppose 237*t = 216*t + 105. Calculate the remainder when 638 is divided by t.
3
Calculate the remainder when 1040 is divided by (-4*(-1 + 9/6))/(30/(-1005)).
35
Let f(t) = 4*t**2 + 31*t + 28. Let r be f(-13). Calculate the remainder when (-341)/(-7) - (-86)/r is divided by 17.
15
Suppose -37 = -5*u + 63. Suppose 30*p = 42*p - 2628. What is the remainder when p is divided by u?
19
Suppose 0 = -3*m + g + 22, -7 + 13 = m - g. Suppose 0 = -2*q - 2*q + 108. Let o = -4 + q. Calculate the remainder when o is divided by m.
7
Let i = 1 + 6. Let r be ((-15)/(-6))/((-3)/90). Calculate the remainder when 3/2*100/r - -19 is divided by i.
3
Let b(r) be the third derivative of 0 - r**2 - 1/12*r**4 + 0*r + 2/3*r**3. Calculate the remainder when 53 is divided by b(-5).
11
Let r be -1 + 4 + 0 + 234. Suppose -2*x = x - r. Let j = x - 56. What is the remainder when 67 is divided by j?
21
Suppose 52244 + 34699 = 199*w - 52357. Calculate the remainder when w is divided by 175.
0
Suppose 3*a - 251 = z, 2*z + 430 = 5*a - 2*z. Suppose 8*j = 46 + a. Suppose 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
s the third derivative of u(c) wrt c?
180*c**2 + 90
Find the first derivative of -368*w - 136*w + 681 - 384*w - 480*w + 358*w wrt w.
-1010
Let a be 5*((-3)/(-12) - 29/20). Let r be (-2)/((-10)/a*2/(-5)). What is the first derivative of -6*s**3 - 4*s**r - 4*s**3 + 15 wrt s?
-42*s**2
Let q(o) = 32 - 11 + 1 - 2*o. Let m(t) = 2*t - 22. Suppose -5*j - 5 - 10 = 0. Let c(i) = j*m(i) - 2*q(i). Differentiate c(b) with respect to b.
-2
Let l = 195 + -191. What is the third derivative of 36*b**2 - 760*b + 33*b**2 - 6*b**l + 760*b wrt b?
-144*b
Let n(p) = -40*p**2 - 4*p - 1. Let b(v) = -201*v**2 - 22*v - 5. Let i = -369 + 363. Let a(c) = i*b(c) + 33*n(c). Find the first derivative of a(d) wrt d.
-228*d
Let t(q) be the second derivative of -197*q**4/12 - 554*q**3/3 - 9*q + 82. Find the second derivative of t(k) wrt k.
-394
Let j(u) = -6 - 4 + 14*u + 2 + 6. Let h be j(1). Find the third derivative of -18*a**2 + 21*a**6 - 44*a**6 - h*a**6 wrt a.
-4200*a**3
Suppose 0 = 3*x - 20*x + 85. Find the second derivative of -3*m**2 + 331*m**x - 4*m**3 - 322*m**5 + 4*m**3 + 3*m wrt m.
180*m**3 - 6
Let p(a) = 371*a**4 + 941*a**2 - 14*a + 4. Let i(b) = b**2 + 3*b - 1. Let s(f) = -4*i(f) - p(f). What is the third derivative of s(t) wrt t?
-8904*t
What is the second derivative of -4677*w**2 - 447*w**2 + 273*w - 1162*w - 1247*w - 339*w wrt w?
-10248
Let a be -92 - -96 - (-10)/2. What is the second derivative of 25 - 16 + 3*c - a - 56*c**3 wrt c?
-336*c
Let f(u) = 33*u**3 - 15*u**2 + 7*u + 2662. Let d(b) = -2*b**3 - 5*b**2 + 3*b - 1. Let t(a) = -3*d(a) + f(a). Differentiate t(j) with respect to j.
117*j**2 - 2
Let o(d) be the third derivative of -3 + 23/8*d**4 + 0*d + 26*d**3 - 18*d**2. Differentiate o(b) wrt b.
69
Find the third derivative of 2*g**2 + 1233*g**3 + 5918 + 0*g**2 - 5609 wrt g.
7398
Let p(x) be the second derivative of -231*x**5/20 + x**3 + 111*x**2 + 2*x + 291. Differentiate p(j) with respect to j.
-693*j**2 + 6
Suppose o - 24 = p - 2*o, -3*o + 72 = -5*p. Let j be p/(-16) - (-2)/8*13. Find the third derivative of -23*x**2 + j*x**3 + 7*x**3 + 7*x**2 wrt x.
66
Let g(k) be the first derivative of -k**6 - 35*k**4/12 - 67*k - 66. Let b(r) be the first derivative of g(r). What is the third derivative of b(p) wrt p?
-720*p
Find the second derivative of -x**4 - 376 + 350 + 7*x**3 - 8*x + 8*x**3 + 9*x**2 - 23*x - 4*x wrt x.
-12*x**2 + 90*x + 18
What is the third derivative of -41 + 3*s**3 - 5*s**3 + 34 + 5*s**3 - 41*s**2 + 1159*s**4 - 308*s**4 wrt s?
20424*s + 18
Suppose -7507*h = -7513*h + 13 + 5. Let b(i) be the second derivative of 0 - 8*i + 0*i**2 - 10/3*i**h - 2/3*i**4. What is the second derivative of b(y) wrt y?
-16
Let k(y) be the third derivative of -23*y**5/4 + 391*y**4/12 - y**3/3 - 307*y**2. What is the second derivative of k(z) wrt z?
-690
Let a(k) = -k**3 + k**2 - 6. Let l(h) = -4103*h**3 - 5*h**2 - 390. Let j(q) = 5*a(q) + l(q). What is the first derivative of j(p) wrt p?
-12324*p**2
Let v(k) be the second derivative of 0*k**6 - 6 - 17/14*k**7 - 4*k - 3*k**4 + 0*k**3 + 0*k**5 + 0*k**2. Find the third derivative of v(c) wrt c.
-3060*c**2
Let a(u) = 6*u**3 - 2*u**2 - 3*u. Let b(d) = 26*d**3 - 3813*d**2 - 13*d + 2249. Let z(g) = 4*a(g) - b(g). Find the second derivative of z(c) wrt c.
-12*c + 7610
Let v(s) = s**5 + 48*s**3 + 1491*s + 8. Let u(b) = -b**5 - 143*b**3 - 4472*b - 22. Let z(g) = 4*u(g) + 11*v(g). What is the second derivative of z(j) wrt j?
140*j**3 - 264*j
Let j(h) be the first derivative of -610*h**4 - 234*h**2 - h + 6468. Find the second derivative of j(w) wrt w.
-14640*w
Let l(f) be the first derivative of 1651*f**6/2 - f**2 - 6186*f + 3702. What is the second derivative of l(r) wrt r?
99060*r**3
Suppose 31 = 7*a + 3. Find the third derivative of 5*j - 27*j**4 + 317 - 317 - a*j - 8*j**2 wrt j.
-648*j
What is the second derivative of 5*p + 170*p + 37472 - 37473 - 19*p**5 + 279*p**5 wrt p?
5200*p**3
Let c(r) = r + 8. Let x be c(-4). Let j be (x/18)/(4/36). Find the second derivative of 9*m**2 + 10*m**j + m**2 + 2*m + m**2 wrt m.
42
Find the second derivative of 531*w**5 - 1732*w**5 - 209*w - 1327*w**5 wrt w.
-50560*w**3
Let x(c) be the third derivative of -c**8/336 + 233*c**7/105 + c**6/30 + 8707*c**5/60 + 22*c**2 - 30*c. What is the third derivative of x(l) wrt l?
-60*l**2 + 11184*l + 24
Let q(h) be the second derivative of -22*h - 1/4*h**4 - 117/2*h**2 - 3*h**3 + 0. What is the first derivative of q(x) wrt x?
-6*x - 18
Suppose -6*z + z - 1790 = 0. Let t be 3/18 - z/12. What is the second derivative of -2897*i**2 + 29*i**4 + 2897*i**2 + t*i wrt i?
348*i**2
Let h(i) = -114*i**3 + 5*i**2 - 229. Let z(v) = 2*v**3 + v**2 + 1. Let b = -679 + 680. Let a(m) = b*h(m) - 5*z(m). Differentiate a(x) wrt x.
-372*x**2
What is the second derivative of 84*b**2 + 4 + 279*b + 85*b + 104*b - 168*b**2 + 2*b**3 - 470*b**2 wrt b?
12*b - 1108
Let w = 209 - 207. Find the third derivative of -1 + 97*d**w - 170*d**2 + 85*d**2 + 45*d**6 wrt d.
5400*d**3
Suppose 3*h = 2*j - 55, -5*j + 115 = -0*j - 3*h. Suppose 0 = 2*n - j + 16. Differentiate 3 + 2 + 1 + 13*u**n with respect to u.
26*u
Let f = -158 + 161. Find the third derivative of 23*i**f - 16*i**2 + 2*i**4 - 46*i**3 + 21*i**3 wrt i.
48*i - 12
Let z(w) = 690*w**4 + 4*w**3 + 4*w + 214. Let m(l) = -l**4 - l**3 - l + 2. Let q(d) = -4*m(d) - z(d). Differentiate q(c) with respect to c.
-2744*c**3
Let t(c) = -1246*c**2 + 4*c + 1463. Let l(f) = 2*f**2 + f + 6. Let s(p) = -4*l(p) + t(p). Differentiate s(r) wrt r.
-2508*r
Let l(k) = -6874*k**3 - 5*k**2 - 133*k - 17. Let n(o) = -6871*o**3 - 6*o**2 - 131*o - 18. Let b(y) = 6*l(y) - 5*n(y). Find the second derivative of b(z) wrt z.
-41334*z
Let b(f) = 4129*f**4 - 2*f**2 - 5725. Let c(u) = 4128*u**4 - 2*u**2 - 5724. Let l(z) = 3*b(z) - 2*c(z). What is the first derivative of l(s) wrt s?
16524*s**3 - 4*s
Let f(g) = 2*g + 1. Let v be f(3). Suppose -i - 1 = 0, -x + 3*i + 11 = v*i. Find the third derivative of -5*q + 4*q + q + q**3 + x*q**2 wrt q.
6
Let n(o) be the second derivative of -141*o**5/4 + o**4/12 - 38*o**3/3 - 17*o**2/2 - o + 195. What is the third derivative of n(b) wrt b?
-4230
Let g(c) = -4263*c**2 - 5085*c - 4. Let t(p) = 4204*p**2 + 5086*p + 3. Let v(w) = -3*g(w) - 4*t(w). What is the second derivative of v(j) wrt j?
-8054
Let d(z) = -2102*z - 8009. Let n(u) = 2181*u + 8009. Let g(p) = 4*d(p) + 5*n(p). What is the derivative of g(r) wrt r?
2497
Let t(a) be the second derivative of -139*a**6/5 + 73*a**4/12 + 1308*a. Find the third derivative of t(x) wrt x.
-20016*x
Let g(a) be the first derivative of a**3 - 184 + 0*a**6 - 2/7*a**7 + 0*a**4 + 0*a + 26/5*a**5 + 8*a**2. Find the third derivative of g(d) wrt d.
-240*d**3 + 624*d
Let a = 74 + -64. Suppose -a*y = -6*y - 40. Find the second derivative of 3*h + y*h + 2*h**4 - h - 2*h wrt h.
24*h**2
Let p(c) = -700*c**4 - 56*c**3 + 994*c - 56. Let d(j) = -j**4 - j**3 - j - 1. Let o(y) = -56*d(y) + p(y). Find the second derivative of o(k) wrt k.
-7728*k**2
Find the second derivative of -1999*t - 41 - 2551*t**2 + 1012*t + 1013*t wrt t.
-5102
Let b(o) be the third derivative of 267*o**2 + 0*o**4 + 0*o - 38*o**3 + 0 + 57/40*o**6 + 0*o**5. Find the first derivative of b(s) wrt s.
513*s**2
Let r(w) = -497*w**3 + 1073*w - 30. Let f(h) = 2*h**3 + 2*h - 6. Let m(x) = 5*f(x) - r(x). What is the second derivative of m(n) wrt n?
3042*n
Let u be 2/(-6)*(-140 + 1 + 1). Find the second derivative of 94*o**4 + 101*o + u*o + 43*o**2 - 81*o**2 + 38*o + 36*o**2 wrt o.
1128*o**2 - 4
Let d(y) = -119*y**4 + 6*y**3 - 6*y - 64. Let b = -19 + 13. Let h(q) = q**4 + q**3 - q. Let v(u) = b*h(u) + d(u). Differentiate v(a) wrt a.
-500*a**3
Let l(i) be the third derivative of 4*i**7/3 - i**5/15 - 11*i**3 + 39*i**2 + 2*i. Find the third derivative of l(r) wrt r.
6720*r
Let t(u) = 1967*u**2 - 24*u + 21. Let b(i) = 984*i**2 - 11*i + 10. Let j(c) = 9*b(c) - 4*t(c). Find the second derivative of j(g) wrt g.
1976
Let r(g) = -2546*g + 3372. Let f(a) = -1273*a + 1686. Let h(v) = 5*f(v) - 3*r(v). Differentiate h(t) wrt t.
1273
What is the derivative of 1889 - 5057*f - 34 + 2330*f - 2410*f wrt f?
-5137
What is the second derivative of 21536*h - 42889*h + 4*h**2 + 21467*h + 409*h**3 - 4*h**2 wrt h?
2454*h
Suppose -8*z + 0 = -8. Let u(f) = 23*f**3 + 2*f**2 + f - 2. L
|
{
"pile_set_name": "DM Mathematics"
}
|
5*z - 6
What is the second derivative of 226*v**4 + v**3 + 77*v - 2?
2712*v**2 + 6*v
Find the third derivative of k*o**4 + 66*k*o**3 + 58*k*o**2 wrt o.
24*k*o + 396*k
Find the second derivative of 2*c**2*d*k - 12*c**2*k**2 - 7*c**2 + 2*c*d*k**3 - 8*c*d*k - 8*d*k**3 wrt k.
-24*c**2 + 12*c*d*k - 48*d*k
What is the second derivative of 72*z**4 + 2*z - 13 wrt z?
864*z**2
Find the second derivative of -10*b**3 + 11*b**2*w**2 - 36*b*w**2 - b wrt b.
-60*b + 22*w**2
Find the second derivative of 2*d*n**4 + 11*d*n + 142*n**5 + 2*n wrt n.
24*d*n**2 + 2840*n**3
Find the second derivative of 633*l**4 + 326*l.
7596*l**2
What is the derivative of 27*k*p**2 - k - 225*p**2 wrt k?
27*p**2 - 1
Differentiate -i**3*q**3 + 22*i**3 - 9*i*q + 505*q**3 with respect to i.
-3*i**2*q**3 + 66*i**2 - 9*q
Find the second derivative of -26829*j**4 - 2604*j wrt j.
-321948*j**2
What is the third derivative of 3*f**5*i*o - 22*f**4*o - f**3*o - f**2*i + 2*f**2*o + 19*i*o wrt f?
180*f**2*i*o - 528*f*o - 6*o
Differentiate -20*t**2*y**2 - t**2*y - 3887*t**2 - 4*t*y**2 wrt y.
-40*t**2*y - t**2 - 8*t*y
What is the third derivative of -544*i**6 + 1324*i**2 wrt i?
-65280*i**3
Find the second derivative of -k**2*s + 66*k**2 + k*s - 2*k - 6*s wrt k.
-2*s + 132
Differentiate -34*b*r*y + b*r + 36*b*y - b + 9*r*y - 2 wrt r.
-34*b*y + b + 9*y
Find the second derivative of 169*b*h**2*z**2 - b*h**2*z - 5*b*z + 2*b - 4*h**2 wrt z.
338*b*h**2
What is the third derivative of -3*a**4 + 57*a**3*z**2 - 2*a**3*z + 25*a**2 + 19*z**2 wrt a?
-72*a + 342*z**2 - 12*z
What is the second derivative of 19*h**3*p**3 - 22*h**3*p - h**2*p**3 + h*p - 1 wrt p?
114*h**3*p - 6*h**2*p
Find the third derivative of 1220*h**3 - 7*h**2 + 46*h - 1.
7320
What is the third derivative of 1090*r**5 + 59*r**2 + r + 7?
65400*r**2
Find the third derivative of -a**2*i**3 - a**2 - 4*a*i**2 + 2*a + 35*i**3 wrt i.
-6*a**2 + 210
What is the second derivative of -15011*r**3 - 739*r + 10?
-90066*r
What is the derivative of 2*p**2 - 742*p - 680?
4*p - 742
What is the first derivative of -2309*p - 4611 wrt p?
-2309
Differentiate -2*h**2*k**3 + 69*h**2*k + 102*k**3 - 2 wrt h.
-4*h*k**3 + 138*h*k
Find the third derivative of -585*b**6 - b**2 - 321.
-70200*b**3
What is the derivative of -3*o**2 - 7*o*w**2 - 2*w**2 - 16 wrt o?
-6*o - 7*w**2
What is the second derivative of -2*o**5 - 45*o**2 + 270*o wrt o?
-40*o**3 - 90
Differentiate 2*a**3*d + 2*a**3*o - 6*a**2*d*r - 3*a**2*o*r - 2*a**2*r + 14*a*d*o + 5*a*d with respect to o.
2*a**3 - 3*a**2*r + 14*a*d
What is the second derivative of -93*b**2*h**2*n + 3*b**2*n - 3*b*h**2*n - 9*b*n - 2*n wrt b?
-186*h**2*n + 6*n
Find the third derivative of -5*b**4 + 95*b**3 - 7*b**2 - 72*b - 2.
-120*b + 570
Find the first derivative of c*m**2*q - 267*c*q**2 - 50*m**2 + 2*q**2 wrt c.
m**2*q - 267*q**2
Find the third derivative of -754*o**4*x**3 - o**4*x + 2*o**2*x**3 + 1051*o**2*x wrt o.
-18096*o*x**3 - 24*o*x
Differentiate -6*o**2 - 16*o - 12 wrt o.
-12*o - 16
What is the derivative of 224*f**2*x + 14*x + 5 wrt f?
448*f*x
Find the third derivative of 2*d**3*s**3*w**3 + 6*d**3*s**2*w**2*x + 2*d**3*s**2 - 5*d**2*s**2*w**3 + d**2*w**3*x + 2*s**3*w**3 + 42*s**3*x wrt s.
12*d**3*w**3 + 12*w**3 + 252*x
Differentiate 3*c**3*o*p - 176*c**3*o + 3*c**2*o - 52*c*o*p + 7*c - 2*o*p with respect to p.
3*c**3*o - 52*c*o - 2*o
What is the second derivative of -3*c**2*n**2 + 10*c**2*n*p**2 - 183*c**2*p + 7*n**2*p**2 + 3*p**2 + 1 wrt p?
20*c**2*n + 14*n**2 + 6
Find the second derivative of -14614*b**5 - 20*b + 72.
-292280*b**3
Find the third derivative of 1144*m**3*s**3 + 3*m**3 + 2*m**2*s**2 - 10*s**2 wrt s.
6864*m**3
Find the third derivative of -2*q**3*u**3 - 3*q**3*u - q**3 - 19*q*u**4 - 259*u**4 + 26*u**2 - 5*u wrt u.
-12*q**3 - 456*q*u - 6216*u
Find the second derivative of -322*w**2 - 471*w wrt w.
-644
What is the second derivative of 484*v**5 + 3*v**4 - v**3 + 5072*v?
9680*v**3 + 36*v**2 - 6*v
What is the derivative of -3844*g**3 - 794 wrt g?
-11532*g**2
Find the second derivative of 35*b**2*j**2*s - b**2 - b*j**2*q*s - 2*b*j*q*s + b*j*q - 22*j**2*q*s + 4*q*s wrt j.
70*b**2*s - 2*b*q*s - 44*q*s
What is the third derivative of 3*q**4 - 73*q**3 - 100*q**2?
72*q - 438
Find the second derivative of 197*j**2 + 55*j wrt j.
394
Find the third derivative of -214*p**3 + 180*p**2.
-1284
What is the second derivative of -9*a**5*x + 5*a**4*x + 2*a**3 - 439*a*x wrt a?
-180*a**3*x + 60*a**2*x + 12*a
Differentiate -801*m**3*s - 2*m**3 + 2*m**2*s - 147*s with respect to m.
-2403*m**2*s - 6*m**2 + 4*m*s
What is the second derivative of 172*k**5 + 89*k wrt k?
3440*k**3
What is the third derivative of 2*a**5*d*p - 13*a**3*d*p + 10*a**3*d - a**2*d*p + d + p wrt a?
120*a**2*d*p - 78*d*p + 60*d
Find the first derivative of 1859*m**3*y - 9645*m**3 + 2*y wrt y.
1859*m**3 + 2
What is the derivative of 3648*j - 1881 wrt j?
3648
What is the second derivative of -3*a**2*y**3 - 2*a**2 + 61*a*y**4 - 177*a*y wrt y?
-18*a**2*y + 732*a*y**2
Find the third derivative of i**5*l + 105*i**3*l - 9*i**2*l - 3*i**2 wrt i.
60*i**2*l + 630*l
Find the third derivative of -166*i**3*n + 2*i**2 - n - 3 wrt i.
-996*n
What is the second derivative of -52*d*r*y**2 - 12*d*r - 7*d*y wrt y?
-104*d*r
Find the third derivative of 28*i*l**3 + 11*i*l**2*w + i*l**2 - l**3*w - 2*l**2*w wrt l.
168*i - 6*w
Find the third derivative of -169*h**4*n - 2*h**4 - h**3*n + 4*h**2 + 531*h*n wrt h.
-4056*h*n - 48*h - 6*n
Find the second derivative of -24*r**3*t**2 - 2*r**3 - 7*r*t - 13*r + 2*t**5 wrt t.
-48*r**3 + 40*t**3
Find the second derivative of -764*d**2*q**3 - 14*d**2 - 2*q - 13 wrt q.
-4584*d**2*q
What is the first derivative of x**3 + 47*x - 339 wrt x?
3*x**2 + 47
Find the first derivative of 12*j**3*m - 286*j**3 - j**2*m + 3*j - 60*m wrt m.
12*j**3 - j**2 - 60
Find the second derivative of -20*u**4 + 35*u**3 - 1223*u + 2 wrt u.
-240*u**2 + 210*u
What is the derivative of 697*y + 285 wrt y?
697
What is the third derivative of 5145*z**6 - z**2 - z + 1418 wrt z?
617400*z**3
What is the second derivative of -59*b**2 + 22*b - 15 wrt b?
-118
What is the third derivative of -3*d**5*u - 5*d**5 - 37*d**3 - 1112*d**2 + d*u wrt d?
-180*d**2*u - 300*d**2 - 222
Find the second derivative of -9*f**3*g - 51*f**2*g**2 + 2*f*g**2 - 3*f + 6*g**2 wrt f.
-54*f*g - 102*g**2
What is the second derivative of 31*a**4 - 3*a + 7 wrt a?
372*a**2
Find the third derivative of 12*d**6*i - 6*d**3*i**3 + 5*d**2*i**3 - 2*d**2*i**2 - 8*d*i**3 wrt d.
1440*d**3*i - 36*i**3
What is the second derivative of 884*r**4 + 4*r**2 - 2*r + 6997?
10608*r**2 + 8
What is the second derivative of -3*c**5 - 15*c**4 - 4*c + 1 wrt c?
-60*c**3 - 180*c**2
What is the derivative of -3*j*s**2*x**3 - 89*j*s**2*x**2 - s**2*x**2 - 120*s*x + x**3 wrt j?
-3*s**2*x**3 - 89*s**2*x**2
What is the third derivative of 600*i**6 - 4*i**5 - i**3 + 269*i**2 - 7*i?
72000*i**3 - 240*i**2 - 6
What is the third derivative of -1164*l**4 + 2*l**2 + 5*l - 2 wrt l?
-27936*l
Differentiate -i**3*k**2 + 7*i**3*p - 15*i*k**3 - 2*i*k**2*p**2 - k**3*p**2 wrt p.
7*i**3 - 4*i*k**2*p - 2*k**3*p
What is the derivative of 2137*k**2 + 16 wrt k?
4274*k
What is the second derivative of -29*h**3*n**2*p + 3*h**3*n*p + h**3*p + 4*h*n**2*p - 2*n**5*p + 3*n wrt n?
-58*h**3*p + 8*h*p - 40*n**3*p
What is the third derivative of -7622*h**6 - 3456*h**2 - 1?
-914640*h**3
What is the derivative of 978*j**2 + 2459?
1956*j
Differentiate -8*c**2 - c + 175 with respect to c.
-16*c - 1
Differentiate 24*m*s*x*y + m*s*y + 4*s*x + 18*s + 2*y - 2 with respect to x.
24*m*s*y + 4*s
Find the first derivative of -2189*m - 3547.
-2189
Find the third derivative of 453*m**3 + 318*m**2 wrt m.
2718
What is the derivative of 1603*m - 2675?
1603
What is the first derivative of -22*q*s**3*t + 16*q*s**2*t - 65*s**3*t wrt q?
-22*s**3*t + 16*s**2*t
What is the derivative of -3*u**3*w**2 + 24*u*w**2 + 340*w**2 + w wrt u?
-9*u**2*w**2 + 24*w**2
Find the third derivative of -3437*p**3*t**3 + 1398*p**2 - p*t**3 wrt p.
-20622*t**3
What is the third derivative of -133*f**3 - 3*f**2 + 3*f wrt f?
-798
What is the first derivative of 373*l**4 - 2*l - 1736?
1492*l**3 - 2
Find the first derivative of 2*p**4*w**2 - 2*p**4 + 16*p**2*w + 17*w**2 + 2 wrt p.
8*p**3*w**2 - 8*p**3 + 32*p*w
Differentiate 2295*
|
{
"pile_set_name": "DM Mathematics"
}
|
292410
Calculate the common denominator of -31/20332 and -31/8840.
203320
Find the common denominator of -137/3216 and 161/45828.
183312
What is the common denominator of 67/210 and -43/107790?
754530
What is the common denominator of -73/15180 and 6/115?
15180
Calculate the common denominator of -149/22002 and 16/473043.
946086
Calculate the smallest common multiple of 165 and 942.
51810
What is the smallest common multiple of 250 and 952400?
4762000
What is the smallest common multiple of 18 and 3075052?
27675468
Calculate the common denominator of -47/48 and -17/489198.
3913584
Find the common denominator of -127/990 and 193/715860.
7874460
Find the common denominator of -113/4470 and -88/51405.
102810
Calculate the common denominator of -49/74030 and -113/220.
148060
Calculate the least common multiple of 1425897 and 27.
1425897
What is the lowest common multiple of 44872 and 628208?
628208
Calculate the smallest common multiple of 1521 and 8788.
79092
Calculate the lowest common multiple of 70266 and 1176.
281064
Calculate the smallest common multiple of 32 and 97376.
97376
Find the common denominator of -39/136 and -133/49488.
841296
Find the common denominator of 53/198098 and -81/8.
792392
Calculate the common denominator of -98/471735 and -50/351.
18397665
What is the common denominator of 80/155397 and -2/5049?
1398573
What is the common denominator of 44/363485 and 51/6799?
4725305
Calculate the common denominator of 85/153252 and 10/39.
1992276
What is the lowest common multiple of 63710 and 25484?
127420
What is the least common multiple of 388265 and 35?
2717855
What is the least common multiple of 1202526 and 648?
4810104
Calculate the least common multiple of 384 and 61920.
247680
Calculate the common denominator of 76/195 and 103/108498.
542490
What is the smallest common multiple of 275220 and 27522?
275220
Calculate the lowest common multiple of 67 and 65.
4355
Calculate the common denominator of -5/3834 and -53/702.
49842
Find the common denominator of -1/34903 and -85/12692.
139612
What is the least common multiple of 27 and 61302?
551718
Calculate the common denominator of -52/1629 and 73/5985.
1083285
What is the least common multiple of 1449 and 210749?
1896741
Find the common denominator of 53/1830693 and -101/1108.
7322772
What is the smallest common multiple of 107772 and 399?
2047668
Calculate the lowest common multiple of 160136 and 4328.
160136
What is the smallest common multiple of 37632 and 3577?
2747136
What is the lowest common multiple of 38979 and 153?
662643
Calculate the lowest common multiple of 3696 and 7546.
181104
What is the common denominator of -149/8274 and -53/3?
8274
Calculate the least common multiple of 1504503 and 121.
16549533
Calculate the smallest common multiple of 114 and 1152.
21888
Calculate the common denominator of 33/14 and -5/2338.
2338
Calculate the common denominator of -97/9846 and 27/9299.
167382
Find the common denominator of -55/46854 and -59/1370.
234270
What is the common denominator of -38/39077 and -101/138?
234462
What is the least common multiple of 10686 and 73021?
438126
Calculate the common denominator of 173/60 and -55/18252.
91260
Calculate the common denominator of -163/2640 and 169/6960.
76560
Calculate the common denominator of 23/10812 and 79/228.
205428
Find the common denominator of -43/590 and 48/6313.
63130
Find the common denominator of -36/68365 and 58/5445.
615285
What is the smallest common multiple of 169910 and 130?
169910
Find the common denominator of 38/20085 and 47/147.
984165
Calculate the smallest common multiple of 615 and 255.
10455
What is the common denominator of -17/1716 and 97/6760?
223080
Calculate the lowest common multiple of 19428 and 262278.
524556
Find the common denominator of 21/2 and 14/584849.
1169698
What is the lowest common multiple of 99 and 9918?
109098
Calculate the lowest common multiple of 57807 and 36.
231228
What is the least common multiple of 8938 and 2?
8938
Calculate the smallest common multiple of 3038 and 296205.
592410
What is the lowest common multiple of 15699 and 235485?
235485
Calculate the least common multiple of 628 and 13345.
53380
Find the common denominator of 103/17486 and 53/57454.
402178
Calculate the lowest common multiple of 135 and 8870.
239490
Find the common denominator of 41/5860 and -107/180.
52740
Find the common denominator of -89/34344 and 7/24.
34344
Calculate the lowest common multiple of 304476 and 8.
608952
Find the common denominator of -103/7708 and -151/4512.
184992
Calculate the common denominator of 58/81225 and -68/9.
81225
What is the smallest common multiple of 210 and 1395?
19530
What is the common denominator of -97/500 and -13/122?
30500
What is the smallest common multiple of 1876 and 5829?
163212
What is the common denominator of 22/21413 and -57/8?
171304
Calculate the common denominator of 93/1734890 and -67/114.
5204670
What is the lowest common multiple of 5604 and 44?
61644
Calculate the common denominator of -59/22 and 151/36306.
399366
Calculate the lowest common multiple of 25836 and 612.
1317636
Calculate the lowest common multiple of 48 and 928.
2784
Find the common denominator of 109/6 and -85/241872.
241872
What is the least common multiple of 38590 and 1340?
5171060
What is the common denominator of -53/8036 and -101/42?
24108
Calculate the least common multiple of 7790 and 8265.
677730
Calculate the common denominator of -9/11 and 57/21373.
21373
Find the common denominator of 175/24684 and 55/1632.
197472
Calculate the common denominator of 27/24955 and 107/49910.
49910
What is the lowest common multiple of 166144 and 96?
498432
Calculate the common denominator of -51/2092 and 8/39225.
156900
What is the common denominator of -31/413875 and -57/188125?
2069375
What is the common denominator of 56/74259 and 2/4237?
1410921
Find the common denominator of 57/1816 and -119/80.
18160
Find the common denominator of -53/42760 and -85/16.
85520
Calculate the common denominator of 34/551 and 7/684.
19836
Calculate the common denominator of 27/10 and 119/4110.
4110
Calculate the common denominator of -131/337110 and 57/52880.
2696880
Calculate the common denominator of -179/6660 and -53/60.
6660
What is the smallest common multiple of 105 and 11319?
56595
What is the common denominator of 53/21015 and 35/123?
861615
What is the common denominator of 71/220 and 33/23600?
259600
Calculate the common denominator of -67/103890 and -53/6.
103890
Calculate the least common multiple of 18960 and 660.
208560
Calculate the common denominator of -48/356771 and -71/82970.
3567710
What is the common denominator of 89/85226 and -143/12?
511356
Calculate the lowest common multiple of 77650 and 427075.
854150
What is the least common multiple of 61365 and 306825?
306825
Calculate the least common multiple of 48040 and 1110925.
8887400
Find the common denominator of -46/20905 and 107/54.
1128870
Find the common denominator of 11/210 and 17/570.
3990
Find the common denominator of -31/2330 and -131/53124.
265620
Calculate the smallest common multiple of 37575 and 142785.
713925
Find the common denominator of 61/9984 and -77/576.
29952
Calculate the common denominator of 65/4288 and 23/584.
313024
Calculate the common denominator of -43/33270 and -12/55.
365970
Calculate the lowest common multiple of 17479 and 2270.
174790
Calculate the smallest common multiple of 1 and 152812.
152812
What is the least common multiple of 126 and 8043?
48258
Find the common denominator of 41/3933 and -43/466716.
1400148
Calculate the common denominator of -49/1089 and 103/39688.
357192
Calculate the least common multiple of 7 and 374415.
2620905
Find the common denominator of -97/71420 and 61/228.
4070940
Find the common denominator of 1/50890 and 23/20356.
101780
Calculate the lowest common multiple of 3483 and 5289.
142803
What is the common denominator of -11/5 and 49/267174?
1335870
Find the common denominator of -163/150306 and -21/10.
751530
Calculate the lowest common multiple of 2316 and 24.
4632
Calculate the common denominator of -11/4419 and 67/164976.
494928
Calculate the common denominator of 45/832 and -61/97968.
391872
What is the common denominator of 61/455 and -57/3244?
1476020
Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
s the third biggest value in l, 0.5, 0?
l
Let r = -181/4 + 45. Let t be (19/(-209))/((-1)/2). What is the third smallest value in r, -3/4, t?
t
Let r = -0.5 + 0.4. Which is the third biggest value? (a) r (b) 0.3 (c) -2
c
Suppose 0*o = 5*o - 15, 5*n + 2*o - 26 = 0. Let t = -7 + n. Which is the third biggest value? (a) t (b) 3/2 (c) 3/7
a
Let s be ((5 - 5) + 183/95)*1. Let v be ((-48)/(-10))/(19/10). Let f = v - s. Which is the second biggest value? (a) 0.5 (b) 2/13 (c) f
a
Let x be (-1)/(-3) - (-10)/(-21). Let m = 0.1 - 2.1. What is the third biggest value in 2/3, x, m?
m
Let u = 0.17 + 0.23. Which is the third smallest value? (a) -0.2 (b) 4 (c) u
b
Let a = 75 - 35. Let n be ((-8)/a)/((-18)/10). What is the third biggest value in 0.2, 0.01, n?
0.01
Let y be 6/(-9) - 26/6. Let m = 4.3 - -0.2. Let p = m + 0.5. Which is the smallest value? (a) y (b) -2 (c) p
a
Let i = -101 + 107.9. Let v = 7 - i. Which is the third smallest value? (a) v (b) 4 (c) -1
b
Let h = -21.6 - -22. Let q = -0.22 - 0.08. What is the third smallest value in q, -0.4, h?
h
Let p = 0.01 + 0.29. Let t = -2 + 6.6. Let z = 5 - t. Which is the third biggest value? (a) p (b) z (c) -4
c
Let h = -6.7 + 7. Let r = 0.4 - 5.4. Which is the second smallest value? (a) r (b) -4 (c) h
b
Let d be (-2)/8 - 185/(-20). Suppose 2*p + d = 1. What is the smallest value in -0.1, p, -2?
p
Let z = -32/5 - -197/30. What is the third smallest value in 1, z, 5?
5
Let f(q) = -q**3 - 5*q**2 - 4*q + 3. Let m be f(-4). Let y = -1.2 + 2.2. Which is the third smallest value? (a) m (b) 0.4 (c) y
a
Let r = 81 + -79.08. Let p = -0.08 - r. What is the second smallest value in 4, -2/5, p?
-2/5
Suppose 0 = 4*i - 3*i - 4. Which is the second biggest value? (a) -1/4 (b) 0.5 (c) i (d) -1/5
b
Let f = 38 + -40. Let v = 0.05 - -2.95. Suppose 4*k - 1 + 5 = 0. Which is the second smallest value? (a) f (b) k (c) v
b
Let d = 41 + -26. Let v be (1/(-15))/(d/18). Let o = 5 - 2. Which is the second smallest value? (a) 0 (b) v (c) o
a
Let y(w) = w**2 - w - 1. Let o be y(-2). Let i = 9.4 + -9. Which is the smallest value? (a) o (b) i (c) -4
c
Let v = 9 + -5. Suppose 40 = -v*o + 6*o. Suppose -i - 2*f = 4*i - 19, i - o = 5*f. Which is the second smallest value? (a) 0.3 (b) i (c) -2/7
a
Let v = 23 + -25. Let m = 0 - 0.4. What is the biggest value in m, -2/21, v?
-2/21
Let r be (-6)/20*(-8 + 10). What is the third smallest value in -0.3, r, -8/9?
-0.3
Let m = 3.2 + -3. Let a = 0.009 + 0.991. What is the second biggest value in 3, a, m?
a
Let w(g) = -g**2 + 7*g - 1. Let m(i) = -i**2 - 7*i - 6. Let c be m(-4). Let h be w(c). Let t = -2.9 + 0.9. What is the biggest value in t, -1, h?
h
Suppose -13*j = -18*j - 5. What is the fourth biggest value in -6, -4, 2, j?
-6
Let h(y) = 2*y**3 - 2*y**2 + 2*y. Let g be h(2). Suppose -j + 5*j = g. Let l be (-7)/4 + (-1)/4. Which is the third biggest value? (a) l (b) 1 (c) j
a
Let j be (-5)/(-3 + 1 + 1). Let p be (-2)/(-5) + 0/1. Let r be (-8)/5*2/24. What is the biggest value in p, j, r?
j
Let f be (-1)/1 + -12 + 13. What is the third biggest value in 0.1, 3, f?
f
Suppose 0*z = 2*z + 8. Let g be z/14 + 13/(-28). What is the third biggest value in 2, g, -4?
-4
Let k = -5.12 + 0.12. Let r = k - -5.2. Let h = -0.1 + r. Which is the second biggest value? (a) -3/2 (b) -1 (c) h
b
Suppose 0 = -16*g + 9*g - 7. Let h = 0.2 + 0.3. Which is the smallest value? (a) h (b) -3/5 (c) g
c
Let n = -19 - -19.7. What is the biggest value in -5, -2/11, n?
n
Let i = -3.955 - -0.055. Let f = i - -1.9. Which is the smallest value? (a) 3 (b) -1/4 (c) f
c
Let q = 6/7 - 31/28. Let t = -5 - -5.4. Let c = -323/3 + 109. What is the third biggest value in q, t, c?
q
Let g = -0.08 - 3.92. What is the biggest value in -11, g, -1/4?
-1/4
Let g = 77.4 - 77. Which is the fourth biggest value? (a) -0.3 (b) 0.05 (c) g (d) -4/5
d
Let s be 21/(-35) - 203/(-5). Let r be (-2)/(-7) + s/(-42). Which is the smallest value? (a) -3 (b) 3/4 (c) r
a
Let q be (-12)/(-6) - (-5)/(-3). Let y = 29 + -31.1. Let z = y - -2. Which is the third smallest value? (a) z (b) q (c) 3/2
c
Let j be -1 - (-1 - -1 - 21). Suppose -j = -4*c, -3*i - 2*c + c = -20. Let z = -4 + 7. What is the biggest value in i, 0, z?
i
Let u be (-9001)/(-40464) - (-2)/(-9). Let l = u - -84289/49456. Let q = 16/11 - l. Which is the smallest value? (a) 0 (b) -3 (c) q
b
Suppose 4*z + 8 = 0, -3*z + 0*z = -5*y + 46. Let u = y + -14. Let s be u/(-24)*(1 + 5). Which is the third smallest value? (a) 0.2 (b) 2/7 (c) s
c
Let d = 0.76 + -0.06. Let f = d + 0.3. Let k = 3.7 + -0.7. Which is the third smallest value? (a) f (b) 1/4 (c) k
c
Let x(c) = -c**3 - 4*c**2 + 4*c + 4. Let q = 0 - 4. Let y be x(q). Let s be ((-18)/(-16))/((-9)/y). What is the third biggest value in -4, -0.3, s?
-4
Suppose -2*s - 6 = 0, 5*x + 6 = -2*s - 5. Which is the second smallest value? (a) -28 (b) -3 (c) x
b
Let p = -0.14 - -0.1. Let r = p - 0.36. Let z = r + 0.4. Which is the biggest value? (a) 0.2 (b) 1/4 (c) z
b
Let x(s) = s**3 + 1. Let p be x(0). Which is the second biggest value? (a) p (b) -4 (c) -1 (d) -2/3
d
Let s = -42 + 42.2. Which is the smallest value? (a) -0.4 (b) 1 (c) s
a
Let q be 1/1*(-2)/(-6). Let c be (-9)/3 - 71/(-23). Let y be 6/1*(-10)/15. What is the third smallest value in c, y, q?
q
Let b = 29/2 + -77/6. Let z = -0.2 + 3.2. What is the smallest value in b, -1/3, z?
-1/3
Let q = -1.51 + 0.01. Let t = 2 + -1. Let b = t + q. What is the second biggest value in 0.1, -0.4, b?
-0.4
Suppose -19 = -5*x - 9. Let r = 3.4 - -0.6. What is the biggest value in r, x, -2?
r
Let u(i) = -i**3 + 9*i**2 - 8*i + 6. Let o be u(8). Let y = -8 + o. Which is the third biggest value? (a) 2/13 (b) 4 (c) y
c
Suppose 71*x + 10 = 73*x. Which is the biggest value? (a) 2/5 (b) -2/23 (c) x
c
Let k be (1 - 6/5)/1. Let q = 1.3 - -2.7. Let s = 0 - 5. What is the second smallest value in s, q, k?
k
Let d = 2.4 + -2.9. What is the second smallest value in d, 0.4, 5?
0.4
Suppose q = 2*q + 3. Let o be 5/(3/q) + 1. What is the third smallest value in 3, -0.1, o?
3
Let z be 1/3*0/(-10 - -7). What is the biggest value in z, -1.5, -2/7, 4?
4
Let t = 0.3 + 0. Let p = 70976 + -494862/7. Let n = 281 - p. Which is the third smallest value? (a) t (b) n (c) 1
c
Let t = -106/3 - -34. Let z = 1.65 + 0.35. What is the third smallest value in t, -2, z?
z
Let i = -29 - -14. Let r = -15.5 - i. Which is the biggest value? (a) r (b) 3/4 (c) 1
c
Let q = 2 + 1. Which is the smallest value? (a) q (b) -0.5 (c) 1/2
b
Suppose 0*z = 2*z - 8. Suppose -6*f + 4*f + 4*v = 20, 4*f + 28 = -z*v. Let n = f - -6. Which is the third smallest value? (a) -4/7 (b) 0.04 (c) n
b
Let n(k) = -k**2 - 9*k - 11. Let o be n(-7). Let q(r) = -2*r - 4. Suppose 0 = 4*t + t + 20. Let l be q(t). Which is the biggest value? (a) -1/6 (b) o (c) l
c
Let v = 12 + -12. Let k = 4 + -6. Which is the second biggest value? (a) -2/3 (b) v (c) k
a
Let n = 1 + -1. Let j = -733/4 + 182. Which is the second biggest value? (a) -0.1 (b) j (c) n
a
Let w = 10.6 + -11. Which is the second biggest value? (a) 4 (b) w (c) 5
a
Let v = -1/3 + 2/15. Let y = -15 + 15.5. Which is the second biggest value? (a) 2 (b) v (c) y
c
Let t = 0 - -0.2. Let u = -4.2 + t. Let p = 0.112 + -0.412. What is the smallest value in u, 3, p?
u
Let d = -2 - -1.99. Let n = -26 - -25.89. Let x = d - n. Which is the second biggest value? (a) -5 (b) x (c) -0.2
c
Let r = 1.7 + 10.9. Let z = 13 - r. What is the second smallest value in z, -1/5, 1/4?
1/4
Let w = 19 + -13. Let k = w + -5.9. Let v = -8/5 + 14/15. Which is the second biggest value? (a) k (b) -0.5 (c) v
b
Let o = -17/4 - -131/28. Which is the third smallest value? (a) 0.2 (b) 3 (c) o
b
Let d = -52 + 49. What is the second smallest value in 7, -1, d?
-1
Let x(c) be the third derivative of -c**6/120 + c**5/12 + 7*c**4/24 - 4*c**3/3 + c**2. Let n be x(6). What is the third smallest value in -1/5, n, 3?
3
Let r = -53 - -36.3. Let a = 17 + r. What is the smallest value in -1, -0.2, a?
-1
Let x = -0.5 + -1.5. Which is the smallest value? (a) x (b) -3 (c) 0.1 (d) -0.1
b
Suppose -3*h + 4*z + 24 = 0, 5*z + 15 = 2*h - 8. Let w = 0.55 + -0.05. Let t be (-4)/9
|
{
"pile_set_name": "DM Mathematics"
}
|
by z?
12
Let d(w) = -w**2 - 4*w + 6. Let o be d(-6). Let j = -107 - -87. Let p = o - j. Calculate the remainder when 54 is divided by p.
12
Suppose -25 = -g + 89. Let r(k) = -5*k - 21. Let a be r(-2). Let t = a + g. Calculate the remainder when t is divided by 27.
22
Let h(m) = m**3 - 29*m**2 + 26*m + 86. Let p = -44 - -72. What is the remainder when 147 is divided by h(p)?
27
Suppose -81924 = -9*p + 5*y + 23205, 23362 = 2*p - y. Calculate the remainder when p is divided by 22.
21
Suppose -65*k = -82*k + 68. Suppose 53*g - 55*g = -4*v + 166, -k*v - 2*g + 186 = 0. Suppose -6 = -2*q + 12. Calculate the remainder when v is divided by q.
8
Let k(b) = 4*b**2 - 92*b + 255. Let p(t) = t**2 - 23*t + 64. Let o(r) = 2*k(r) - 9*p(r). Calculate the remainder when (-5)/(-10) - 207/(-6) is divided by o(19).
5
Let n(h) = -3*h**2 - 220. Let j(z) = 5*z**2 + z + 329. Let g(p) = -5*j(p) - 8*n(p). What is the remainder when 73 is divided by g(8)?
7
Let j(y) = y**2 - 5*y - 9. Let s be (-8)/6*5/(10/(-9)). Let w be 1 + (-22)/6 - (-4)/s. Calculate the remainder when j(w) is divided by 4.
1
Suppose -11*b + 188*b - 146016 = -39*b. Calculate the remainder when b is divided by 151.
72
Let n = 299 + -289. Suppose -5*z + n = 0, 3*j - z = -j + 98. Calculate the remainder when j is divided by 2.
1
Suppose 0 = -66*o + 4487 - 1121. Calculate the remainder when 1832 is divided by o.
47
Let m = -74 + 5. Let s = -63 - m. Suppose a - 1204 = -s*a. What is the remainder when a is divided by 29?
27
Let s(y) = 12*y**3 + 26*y**2 - 178*y - 12. What is the remainder when s(5) is divided by 410?
18
Let j = 17 - -9. Suppose 3*l - j - 184 = 0. Suppose 2*x - 7*x = -90. What is the remainder when l is divided by x?
16
Suppose -2*w - 4*y - 80 = -6*w, w + 3*y = 40. Suppose -68*j + 17*j - 1246 = -10630. What is the remainder when j is divided by w?
9
Suppose -3*d - 4*h + 8 = 36, 2*h + 2 = 0. Calculate the remainder when 116 is divided by -1 + 1 + 4 - d.
8
Let z(h) = -2*h - 3. Let j(f) = 3*f - 26. Let x(q) = -j(q) - z(q). Calculate the remainder when 56 is divided by x(-7).
20
Let x(j) = -321*j - 635. Calculate the remainder when 991 is divided by x(-2).
4
Let f = -1577 + 1679. Calculate the remainder when 222 is divided by f.
18
Suppose 2*d + 40 = -4*v + 192, 3*d + 3*v - 231 = 0. Let t(s) = s**3 + 16. Suppose a + a = 0. What is the remainder when d is divided by t(a)?
14
Suppose 449 = -12*x + 53. Let m = x - -186. Calculate the remainder when m is divided by 52.
49
Let i(q) = q**3 - 2*q**2 + 2*q - 2. Suppose 3*g + 170 = 3*l - 2*l, -2*g - 122 = -5*l. Let d = g + 59. Calculate the remainder when 18 is divided by i(d).
5
Suppose 4*a - 3*d - 29 = 3*a, -181 = -5*a - 3*d. What is the remainder when a is divided by 13?
9
Let n = 1001 - 993. Suppose 5*d - 75 = -5*w, -7 = -d - 2. Calculate the remainder when w is divided by n.
2
Let s(k) = 6*k + 16*k**2 + 2*k**3 - 8 - 2*k - 8*k**2 - 4*k. What is the remainder when s(4) is divided by 36?
32
Let q(w) = w**2 - 31*w - 99. Let g be q(34). Suppose 4*i - z = 682, 3*i - 502 = -g*z - z. Calculate the remainder when i is divided by 29.
25
Suppose i = 2*c - 41, c - 2*i = 5*c - 62. Suppose 0 = 9*a + 3*a - 1248. Suppose a = 22*b - c*b. What is the remainder when b is divided by 14?
12
Suppose -2*b = 5 + 5, -50 = -5*m + 2*b. Let r be (7 - 8)*(2 + 8). Let d(p) = p**2 + 8*p - 5. Calculate the remainder when d(r) is divided by m.
7
Let y(i) = -i**3 + 75*i**2 + 157*i - 121. Calculate the remainder when 1978 is divided by y(77).
108
Let g(w) = -2*w + 216. Let a be g(44). Let z = a - 125. Suppose -2*t - 48 = -4*j, -3*j + t + 23 = 6*t. Calculate the remainder when j is divided by z.
2
Let g(a) = -7*a - 6. Let y be g(-1). What is the remainder when (-18 - -20)/(133/(-135) + y) is divided by 17?
16
Suppose -15 = -w - 13. Let u be (-4)/8*w*-35. Suppose 0 = -4*f + u + 45. Calculate the remainder when f is divided by 7.
6
What is the remainder when 1795 is divided by (229120/64)/(5 + -1)?
5
Let n(d) = -d**3 + d**2 + 9*d - 7. Let r be n(3). Let t = r + 4. What is the remainder when 117 is divided by t?
3
Suppose -519 = -2*f + 343. Calculate the remainder when f is divided by (-6 + (-138)/(-15) - 5)/(36/(-480)).
23
Suppose -7*v - 227 = -206. Suppose -g - 4 = -20. Let t = g + v. Calculate the remainder when 48 is divided by t.
9
What is the remainder when 245 is divided by (-4 - 3/((-42)/64))/(10/1085)?
59
Suppose 5*k = -4*i + 27, -12*k - 5*i = -11*k - 18. Suppose -3*j + k*m + 99 = 0, 3*j + m = -0*m + 99. Calculate the remainder when 193 is divided by j.
28
Let l(j) = -8*j - 10. Let p be l(-1). Let x be (-3 + 0)/(p/18). Suppose -30 = 24*q - x*q. What is the remainder when 29 is divided by q?
9
Let u(q) = -5*q**3 - 3*q - 11. Let d be u(-2). Suppose -f + 3*o = -d, f - o - 5 = 24. What is the remainder when 122 is divided by f?
18
Let n = 19 + -14. Suppose -7*j + 5*j = 5*b + 19, -3*j = -9. What is the remainder when (b + 6)*(n + 3) is divided by 4?
0
Let h = 4199 - 3659. Calculate the remainder when h is divided by 534.
6
What is the remainder when (185 - 171)*2*(-1341)/(-12) is divided by 349?
337
Suppose 0 = -98*a + 9309 + 14077 + 9836. Calculate the remainder when a is divided by 106.
21
Suppose -2*r = 2*r + 128. Let y = r + 37. Let o(i) = -2*i**3 + 24*i**2 - 17*i - 37. Calculate the remainder when o(11) is divided by y.
3
Let k(f) = 6*f**2 + 16*f + 13. Let j be k(-2). Suppose 3*t - j*z = 697, 98*z - 101*z = 3*t - 705. What is the remainder when t is divided by (59/2)/((-2)/(-4))?
57
Let s(a) = 9*a**2 + 5*a - 9. Let y be s(-5). Let c = y - 179. Calculate the remainder when 275 is divided by c.
11
Let a be 20/10 + 2/1. Suppose 0 = -4*u - 334 - 378. Calculate the remainder when 53 is divided by u/(-10) + a/20.
17
Suppose -24*v = -1064 - 3112. What is the remainder when v is divided by 61?
52
Calculate the remainder when 10/(-4)*1875372/(-1585) is divided by 74.
72
What is the remainder when (522/7)/(146/2044) is divided by 1039?
5
Let v be ((-412)/20 - 5)*5. Let m = v - -157. What is the remainder when 57 is divided by m?
28
Suppose 5*g = 5*t + 130, 4*g + 4*t - 112 = -8. Calculate the remainder when 839 is divided by g.
7
Let y = 1062 + -1048. Let k = 194 + -43. What is the remainder when k is divided by y?
11
Let v be (-6)/(-27) - (-10868)/99. Suppose -6*g + v + 370 = 0. Suppose -2*d - g = -5*f - 7*d, -2*f - d + 31 = 0. What is the remainder when f is divided by 11?
4
Let z = 8420 + 2964. What is the remainder when z is divided by 156?
152
Let f(k) = -4*k - 3. Let o be f(-7). Let g = o + -70. Calculate the remainder when (-1*10)/(g/(-24) + -2) is divided by 17.
12
Let l be 18/153 + 3776/(-17). Let f = 242 + l. What is the remainder when f is divided by 8?
4
Suppose -120842 - 11869 - 10383 = -21*b. Calculate the remainder when b is divided by 71.
69
Suppose -5*d - j = -3708, 48*d - 5*j + 756 = 49*d. What is the remainder when d is divided by 95?
76
Let v = 22 - 17. Let k be (v + -6)/(4/(-20)). Calculate the remainder when 13 is divided by 3/5 + (22/k - -1).
1
Suppose 116 = 3*l + 5*o - 106, 5*o + 222 = 3*l. What is the remainder when (24/(-14))/((-7)/588) is divided by l?
70
Suppose -3*d - 1 = -7. Let p be (2 + -4)/(d/(-7)). Suppose -p*k + 12*k = 15. What is the remainder when 6 is divided by k?
0
Suppose -7*t = 242 + 248. Calculate the remainder when 21/t + (-16137)/(-90) is divided by 18.
17
Let v be 250/(-40) - (-1)/4. Calculate the remainder when 20 is divided by 5*1*(-4 + 5) - v.
9
Suppose -20*c = -11*c - 261. Suppose -17*v - 744 = -c*v. What is the remainder when v is divided by (-30)/(-9)*24/5?
14
Calculate the remainder when 663 is divided by (16/6)/(45/810).
39
Let o(s) = 10*s**2 + 1470*s - 515. Calculate the remainder when o(-148) is divided by 78.
29
Let b(c) = -c**3 - 48*c**2 + 329*c + 283. Calculate the remainder when 6/(-4)*2848/(-24) is divided by b(-54).
9
Let y(n) = 14*n + 86. Let z be y(-6). Suppose -z*w + 6*w - 12 = 0. Calculate the remainder when (1 - 0)/(7/28) is divided by w.
1
Let h = 15 + 13. What is the remainder when (-85)/10*-12 + 7 is divided by h?
25
Let p(s) = -4*s + 96. Let k be p(12). Suppose -k = -2*o + 32. Calculate the remainder when (-1 - 4)*236/(-10) is divided by o.
38
Suppose 1608 = 5*a - 2*d, -2*a = 5*d - 278 - 313. What is the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
n -78*n - 28 + 28 + 7*n.
-71*n
Collect the terms in -186*x**2 - 178*x**2 - 237*x**2.
-601*x**2
Collect the terms in 545 + 81*d**2 - 545 - 90*d**2.
-9*d**2
Collect the terms in -28*c**3 + 2 + 1 + 26*c**3 - 3.
-2*c**3
Collect the terms in -51068*c**2 + 3*c**3 + 51068*c**2.
3*c**3
Collect the terms in -5*l**3 - 192 - 275 + 467 + l**3.
-4*l**3
Collect the terms in 272 - 19*f - 272.
-19*f
Collect the terms in 44*y**2 - 11920 + 11920.
44*y**2
Collect the terms in -3*q + 67*q**2 + 3*q - 70*q**2.
-3*q**2
Collect the terms in -51286 - 2*p**3 + 51286 - 2*p**3.
-4*p**3
Collect the terms in -113*g**3 + 198*g**3 - 100*g**3.
-15*g**3
Collect the terms in -113 + 113 - 5*o**3 + 6*o.
-5*o**3 + 6*o
Collect the terms in 23 + 69*f**3 - 23.
69*f**3
Collect the terms in 4*p**2 - 11 - 3*p - 5*p + p + 4*p.
4*p**2 - 3*p - 11
Collect the terms in 7*k - k**3 - 2*k + 2*k**3 + 2*k.
k**3 + 7*k
Collect the terms in 9*h**2 - 11*h**2 + 4*h**2.
2*h**2
Collect the terms in -39415 + 19707 + 7*s + 19708.
7*s
Collect the terms in 0*g**3 - 9*g - 4*g**3 - g**3 - 14*g.
-5*g**3 - 23*g
Collect the terms in 0*b**3 - b**3 + 2*b**3 + 2*b**3.
3*b**3
Collect the terms in 1068*c**2 + 2 - 2 + 2*c**3 - 1068*c**2.
2*c**3
Collect the terms in 27594*k**2 + 2*k - 27587*k**2 + 2*k - 4*k.
7*k**2
Collect the terms in 107*h - 14*h + 127*h - 6*h.
214*h
Collect the terms in 7*l - 87 + 87 + l.
8*l
Collect the terms in -2*y**2 + y**2 - 4*y**2 - 4*y**2.
-9*y**2
Collect the terms in 391*p - 391*p - 34*p**3.
-34*p**3
Collect the terms in 6*u**2 + u**2 - 11*u**2 - 4*u**3 + 4*u**2.
-4*u**3
Collect the terms in 80*p**2 - 91*p**2 + 10*p**2.
-p**2
Collect the terms in -19392 + 5*k**2 + 19392.
5*k**2
Collect the terms in -2*i**2 - 3*i**2 - i**2 + i**2.
-5*i**2
Collect the terms in -35 + 6*w + 1 + 11 - 2.
6*w - 25
Collect the terms in -3*t**2 - 4*t**2 + 10*t**2.
3*t**2
Collect the terms in -2*v + v - 3*v + 1 + 3*v.
-v + 1
Collect the terms in -1828 + 13*v**2 + 1828.
13*v**2
Collect the terms in -603*g**2 + 305*g**2 + 300*g**2.
2*g**2
Collect the terms in 14*b**3 + 8*b**3 - 22 + 22.
22*b**3
Collect the terms in 139*q**2 + 136*q**2 + 140*q**2.
415*q**2
Collect the terms in 327 + 2*h**3 - 655 + 328.
2*h**3
Collect the terms in -36*v**2 + 12*v**2 - 20*v**2.
-44*v**2
Collect the terms in -3*q + 3*q**3 - 11 - 11 + 3*q.
3*q**3 - 22
Collect the terms in m**3 + 10*m**3 + 7*m**3 + 3*m**3.
21*m**3
Collect the terms in -25*p + 431 - 431.
-25*p
Collect the terms in 6 + 4*f - 2 - f + 3.
3*f + 7
Collect the terms in -8*q - 2*q + 4*q - 2*q.
-8*q
Collect the terms in 7*x**2 - 23*x**2 + 6*x**2 + 4*x**2.
-6*x**2
Collect the terms in 19*o**3 - 46*o**3 + 22*o**3.
-5*o**3
Collect the terms in -4 + 4 - 25*a**2 + 122*a**2.
97*a**2
Collect the terms in -5*l - 5*l + 17*l - 7*l + 2*l.
2*l
Collect the terms in 3*w**2 + w**2 - 2*w**2 + 0*w**2 + w**2.
3*w**2
Collect the terms in 2 + 0*b**3 - 2 + b**3.
b**3
Collect the terms in 8*a - 16*a + 4*a.
-4*a
Collect the terms in 14*c - 5*c - 6*c - 2*c.
c
Collect the terms in 43*j - 71*j + 27*j - 4 + 4.
-j
Collect the terms in 2*a**2 + 461*a - 187*a - 274*a.
2*a**2
Collect the terms in -3191*p + 6396*p - 3205*p + p**2.
p**2
Collect the terms in 7*d + 7*d + 7*d.
21*d
Collect the terms in 65*u**3 - 43*u**3 + 2*u**2 - u**2.
22*u**3 + u**2
Collect the terms in 23 - 2*z**3 + 4 - 27.
-2*z**3
Collect the terms in -y + 101736 - 101736.
-y
Collect the terms in 0*h - 516 - 2*h + 3744.
-2*h + 3228
Collect the terms in -22*a**2 + 13*a**2 + 13*a**2.
4*a**2
Collect the terms in -2*o**2 + o - 19*o + 17*o + o.
-2*o**2
Collect the terms in -199*a - 199*a + 595*a - 195*a.
2*a
Collect the terms in 13*z + 17*z + 10*z - 60*z + 18*z.
-2*z
Collect the terms in -10*x**2 - 15*x**2 + 27*x**2.
2*x**2
Collect the terms in 6*d**2 - 296 + 588 + 14*d**2 - 292.
20*d**2
Collect the terms in 2*c**3 + 70*c**2 - 70*c**2.
2*c**3
Collect the terms in -v + 0*v**2 - 6*v**2 + v.
-6*v**2
Collect the terms in 5 - 5 + 2*k + 2*k.
4*k
Collect the terms in 3*x - 5*x - 3*x.
-5*x
Collect the terms in i - 5*i - 2*i + 6*i**3 - i**3.
5*i**3 - 6*i
Collect the terms in n**2 + 11 + 22 + n**2.
2*n**2 + 33
Collect the terms in 365*k**2 + 3*k**3 - 365*k**2.
3*k**3
Collect the terms in 1311*g**3 + 1318*g**3 - 2626*g**3.
3*g**3
Collect the terms in 7660 - 7660 - 2*u.
-2*u
Collect the terms in 36 + 28*x - 117 + 42 + 39.
28*x
Collect the terms in 66*i - 2 - 8*i - 6*i.
52*i - 2
Collect the terms in 5*l**3 + 4*l**3 - l**3 - 7*l**3.
l**3
Collect the terms in 41 - 2*v + 29 - 70.
-2*v
Collect the terms in 122 - 242 + 8*k + 119.
8*k - 1
Collect the terms in 127256*w - 127256*w + 2*w**3.
2*w**3
Collect the terms in -15*l + 16*l - 10 + 10.
l
Collect the terms in 12*i**2 + 41*i**2 + 10*i**2.
63*i**2
Collect the terms in 852*w**2 + 28*w**2 - 168*w**2.
712*w**2
Collect the terms in 11*v**3 - 8*v**3 - 6*v**3.
-3*v**3
Collect the terms in -31*z**2 + z + 2*z - 3*z.
-31*z**2
Collect the terms in 152*c**2 + 39*c**2 + 42*c**2 - 24*c**2.
209*c**2
Collect the terms in 1 + 4*j**2 + 2*j**2 - 22 - 3*j**2.
3*j**2 - 21
Collect the terms in -38*i - 5*i + 20*i.
-23*i
Collect the terms in -3 + 10 - 7 + 21*b**2.
21*b**2
Collect the terms in -23*y**2 + 67*y**2 - 19*y**2 - 20*y**2.
5*y**2
Collect the terms in 13*s**3 - 27*s**3 + 24*s**3 + 4*s**3.
14*s**3
Collect the terms in -40*y**2 + 117*y**2 - 31*y**2 - 42*y**2.
4*y**2
Collect the terms in 262*y**3 - 228*y**2 + 228*y**2.
262*y**3
Collect the terms in 0*g**2 - 45*g**2 - 26*g**2.
-71*g**2
Collect the terms in 0*f + 260*f**2 + 0*f - 257*f**2.
3*f**2
Collect the terms in -18*z**3 - 2 - 3*z**3 + 5.
-21*z**3 + 3
Collect the terms in -14*s + 4*s**2 - 21*s + 86*s - s**2.
3*s**2 + 51*s
Collect the terms in 4*v**2 + 2*v**2 - 7*v**2.
-v**2
Collect the terms in -266*d**3 - 2*d - 320*d**3 - 188*d**3.
-774*d**3 - 2*d
Collect the terms in -9*r**2 + 16*r**2 - 22*r**2.
-15*r**2
Collect the terms in 6165 - 6165 + 10*v.
10*v
Collect the terms in -u + u + 75*u**3 - 31*u**3.
44*u**3
Collect the terms in d - 7*d + 17*d + 23*d.
34*d
Collect the terms in -5*l**3 + 7*l**3 - l**3.
l**3
Collect the terms in 4809 + 8*d**3 - 4809.
8*d**3
Collect the terms in 576 - 5*j + 2*j - 14*j**3 - 576.
-14*j**3 - 3*j
Collect the terms in 81*g + 87*g - 174*g.
-6*g
Collect the terms in -303 + 56*t + 303.
56*t
Collect the terms in -285*j + 150*j + j**3 + 135*j.
j**3
Collect the terms in -35*y + 118*y - 42*y - 30*y.
11*y
Collect the terms in 57*f**2 + 13*f**2 + 3*f**2.
73*f**2
Collect the terms in -451*p**2 + 3*p - 2*p - p - p.
-451*p**2 - p
Collect the terms in -4*s + 19*s**3 + 4*s.
19*s**3
Collect the terms in -6*m**3 - 2*m + 2*m + 54*m**2.
-6*m**3 + 54*m**2
Collect the terms in -26*u**3 - 2 - 31*u**3 + 2.
-57*u**3
Collect the terms in 38 + n - 38.
n
Collect the terms in r - 5*r + 4*r - 55*r**3.
-55*r**3
Collect the terms in 80*a + 8 - a**2 - 8.
-a**2 + 80*a
Collect the terms in 19*o - 4*o**3 - 3*o**3 - 19*o.
-7*o**3
Collect the terms in 2 - 2 + 13*b**3 + 3*b**3.
16*b**3
Collect the terms in 170*q**2 - 85*q**2 - 88*q**2.
-3*q**2
Collect the terms in -16*j**3 - 12*j**3 + 18*j**3.
-10*j**3
Collect the terms in 14*w**2 - 26*w**2 + 11*w**2.
-w**2
Collect the terms in -177*h + 44*h + 46*h + 44*h + 44*h.
h
Collect the terms in -4*w + 2*w + 4*w.
2*w
Collect the terms in -31*i**3 + 12*i**3 - 24*i**3 - 12*i**3.
-55*i**3
Collect the terms in -2 - 7*f + 7*f + 2 - f.
-f
Collect the terms in 34*s**3 - 20*s**3 - 19*s**3.
-5*s**3
Collect the terms in z**2 - 5*z**2 + z**2.
-3*z**2
Collect the terms in 34097 - 34097 - 5*j**2 + 3*j**2.
-2*j**2
Collect the terms in -145*p**2 + 2*p**3 + 145*p**2.
2*p**3
Collect the terms in 56*v - 56*v - 83*v**2.
-83*v**2
Collect the terms in 97*g - 190*g + 106*g.
13*g
Collect the terms in -107*x**2 - 106*x**2 - 109*x**2 + 325*x**2.
3*x**2
Collect the terms in -k**3 - 4*k**3 - 31*k**3.
-36*k**3
Collect the terms in 3*g + 0*g**2 - g + g**2.
g**2 + 2*g
Collect the terms in -7*w**2 + 6*w**2 - 5*w**2 + 4*w**2.
-2*w**2
Collect the terms in 2 - 4*p - 1 - 1 - 22*p**2.
-22*p**2 - 4*p
Collect the terms in -48 + 47 + 2*m + 5*m + 11*m.
18*m - 1
Collect the terms in -33*g + 16*g + 15*g.
-2*g
Collect the terms in 6 + 4 - 2*c - 10.
-2*c
Collect the terms in 3*z**2 - 7*z**2 - 14 - 86.
-4*z**2 - 100
Collect the terms in 2739*o - 2739*o - 3*o**2.
-3*o**2
Collect the terms in -14*g*
|
{
"pile_set_name": "DM Mathematics"
}
|
f*i**2 - 3*f*k - 53389*f + 8*i**3 + 4794*i*k + 3*k + 4 with respect to f.
-22*i**3 + i**2 - 3*k - 53389
Find the third derivative of 160112*t**5 + 45*t**4 + 9*t**2 - 44*t - 37671 wrt t.
9606720*t**2 + 1080*t
Find the first derivative of 676*i**2*m - i**2 - 4523*i*m + 64624*i - 2 wrt m.
676*i**2 - 4523*i
Find the second derivative of -786077852*m**5 - 412560*m - 723.
-15721557040*m**3
Find the second derivative of -291363191*w**2 + 332983744*w.
-582726382
Differentiate 14551002*m**3 - 21091876 wrt m.
43653006*m**2
Find the second derivative of 114701019*o**5 - 1615*o + 14376 wrt o.
2294020380*o**3
What is the first derivative of 621*d*k*t - 19*d*t**3 + 4*d*t**2 + 108*d*t + d + 16753*k*t**3 - 2*t**3 + 23*t**2 wrt k?
621*d*t + 16753*t**3
Differentiate -132899134*r**2 + 136030260 wrt r.
-265798268*r
What is the third derivative of -871503935*b**5 - 26785937*b**2 + 2*b?
-52290236100*b**2
What is the second derivative of -642885*f**3 - 8*f**2 + 2918687*f?
-3857310*f - 16
Find the third derivative of d**2*s**3 + 54*d**2*s**2 + d*s**3 + 165000*d*s**2 - 2*d*s + 11097723*s**3 wrt s.
6*d**2 + 6*d + 66586338
What is the third derivative of 10*c**3*k**2 - 19609399*c**3*k*s + c**2*k*s - 21*c**2*k - 2*c + 12*k**2 - 819*k*s - 4*k wrt c?
60*k**2 - 117656394*k*s
Differentiate 82689*s**4 + 333*s - 101835765 with respect to s.
330756*s**3 + 333
Find the third derivative of -1770257*w**5 - w**4 - 15*w**2 - 21*w + 2127.
-106215420*w**2 - 24*w
Find the first derivative of 6*d**3 + 446670*d + 66968647 wrt d.
18*d**2 + 446670
Differentiate -672629212*c*t - 24*t - 2537858 wrt c.
-672629212*t
Find the third derivative of -191897152*l**2*p**3 - 872*l**2*p**2 + 37655*l**2 wrt p.
-1151382912*l**2
What is the second derivative of -b**3*h**2 - b**3 + 1436*b**2*h*j - 78*b*h**2 + 12*b - 112*h**2*j - h**2 + 7*j wrt h?
-2*b**3 - 156*b - 224*j - 2
Find the second derivative of -472531*g**3 - g**2 - 13452828*g wrt g.
-2835186*g - 2
Find the second derivative of -315297*b**3 - 12505347*b wrt b.
-1891782*b
Find the third derivative of 27*n**4 - 7927964*n**3 - 16*n**2 - 3618*n - 18.
648*n - 47567784
What is the derivative of 69*c**4 - 1041*c**2 - 21*c - 31775130 wrt c?
276*c**3 - 2082*c - 21
Find the third derivative of 1362*d**6 + 209*d**5 - 5*d**3 + 291*d**2 - 49*d - 39 wrt d.
163440*d**3 + 12540*d**2 - 30
What is the first derivative of -1491436*c*p + 287543*p - 10 wrt c?
-1491436*p
Find the second derivative of -134837764*f**3 - 6166789*f wrt f.
-809026584*f
Find the second derivative of -5740773*l**2 - 378321*l - 10.
-11481546
What is the third derivative of -6284216*j**3*s**3 + j**3 - 339211*j**2*s**3 - 3*s**3 wrt j?
-37705296*s**3 + 6
Find the second derivative of -120337668*x**4 + 2*x + 25054812 wrt x.
-1444052016*x**2
What is the third derivative of 13981*i**6 - 9149*i**3 + 464662433*i**2 wrt i?
1677720*i**3 - 54894
Differentiate 18248*b**3 - 3182*b**2 - b + 65110681.
54744*b**2 - 6364*b - 1
Find the second derivative of 261*s**3 + 177084*s**2 + 7*s + 6665757.
1566*s + 354168
What is the second derivative of 28460*y**4 + 96*y**3 + 17332*y - 47?
341520*y**2 + 576*y
Find the second derivative of -1103096*f**2*n - 2*f**2 + 71421*f - 78*n wrt f.
-2206192*n - 4
Find the second derivative of 2*h**5 + 3183018*h**3 + 47*h - 46572.
40*h**3 + 19098108*h
What is the second derivative of -253643880*m**4 + 159149*m + 76?
-3043726560*m**2
Find the third derivative of -262367530*l**6 - l**2 + 215963*l - 666 wrt l.
-31484103600*l**3
What is the first derivative of 87*t*z - 26673914*t + 69656*z wrt z?
87*t + 69656
Find the third derivative of 82249163*i**3 - 19*i**2 + 2040891 wrt i.
493494978
What is the third derivative of -109896*c*t**3 + 3*c*t**2*w + c*t**2 - 12093745*c*t*w + 1324*t**3*w wrt t?
-659376*c + 7944*w
What is the derivative of 6964211*x**2 + 1468179 wrt x?
13928422*x
What is the first derivative of -750*p**2 - 3906*p - 19202992 wrt p?
-1500*p - 3906
What is the third derivative of -3*r**6 - 2022595*r**4 + 2*r**2 + 67094*r?
-360*r**3 - 48542280*r
Differentiate -173264*g*m + 1249979605*g + 201*m wrt m.
-173264*g + 201
Find the third derivative of 53278885*g**5 - 5741*g**2 - 1460*g - 1.
3196733100*g**2
What is the second derivative of -45803*m**4 - 16*m**2 - 14140036*m wrt m?
-549636*m**2 - 32
What is the second derivative of 33991349*i**3 + 3*i + 8187571 wrt i?
203948094*i
Find the first derivative of -32413417*h**2 - 34434564.
-64826834*h
Differentiate 37134828*c + 17507240.
37134828
Find the third derivative of -1708905*b**3 - 6130674*b**2.
-10253430
Differentiate -d**4 - 437540*d**3 + 6*d**2 + 14295832 with respect to d.
-4*d**3 - 1312620*d**2 + 12*d
Differentiate -2*c**2*p**2 + 104*c**2*z - 2*c**2 + 2422*p**2*z - 3610406*p**2 with respect to z.
104*c**2 + 2422*p**2
Differentiate -7325*w**2 + 2224*w + 179506364.
-14650*w + 2224
Find the second derivative of 10*n**4 - 3*n**3 - 5022*n**2 - 2*n + 9569657 wrt n.
120*n**2 - 18*n - 10044
Find the third derivative of -33230552*r**5 - 4516*r**2 + 21*r + 49.
-1993833120*r**2
What is the second derivative of 601078528*b**2 + 2088*b - 94012?
1202157056
What is the third derivative of -1528972*q**4 + 55*q**3 - 781741660*q**2 wrt q?
-36695328*q + 330
What is the second derivative of 78*g**3*t**2 - 92*g**3*t - 78601*g**2*t**2 - 2*g**2*t - 19*g**2 - 8247*t wrt t?
156*g**3 - 157202*g**2
What is the third derivative of 723363*f**5 - 3*f**4 - 31*f**3 - 75*f**2 - 750290*f + 2?
43401780*f**2 - 72*f - 186
What is the third derivative of -26423200*z**3 - 8355*z**2 + 733?
-158539200
Differentiate 4004962*f**3*m + 419*f**3 - f**2 - 31*f*m - 5*f - 462 with respect to m.
4004962*f**3 - 31*f
Find the first derivative of -61557*g*z**4 + 90*g*z + 77*g + 9 wrt z.
-246228*g*z**3 + 90*g
Find the third derivative of -8938186*m**3 + 7*m**2 + 1434*m + 492 wrt m.
-53629116
What is the first derivative of 6102309*k**2*r - k*r + 252254443*r + 2 wrt k?
12204618*k*r - r
What is the second derivative of -293540*a**2*v**3 + 3*a**2*v - 5*a**2 + 25890*a*v**3 + 13*a*v + 2*a + v wrt a?
-587080*v**3 + 6*v - 10
Find the second derivative of 370171211*z**2 + 100495995*z.
740342422
What is the first derivative of 322507741*x*y - 402760283*x wrt y?
322507741*x
Differentiate 3*j**3*z - 17*j**3 + 6359022*j**2*z + 13513*j**2 + 3*j + 1 with respect to z.
3*j**3 + 6359022*j**2
Differentiate -75008044*j**2 - 77005126.
-150016088*j
Find the second derivative of 16015077*o**3 - 136669*o - 14.
96090462*o
What is the first derivative of -410*i**2*r**2 - 70*i**2 + 247*i*r**2 - 728302*r**2 - 3*r - 8 wrt i?
-820*i*r**2 - 140*i + 247*r**2
Find the first derivative of 8*d*l**3 - 177*d*l*m - 4*d*l + 18573*l**3*m - 577*l**3 + 2*l**2 + 5 wrt m.
-177*d*l + 18573*l**3
What is the third derivative of -30935305*s**3 + 170*s**2 + 10106*s + 6?
-185611830
What is the third derivative of 34106422*b**5 + b**3 + b**2 - 3458385*b - 2 wrt b?
2046385320*b**2 + 6
What is the second derivative of -73866423*f**5 - 102189771*f?
-1477328460*f**3
What is the third derivative of 19*b**5 - 24870*b**4 + b**3 + 1504554*b**2 - 3 wrt b?
1140*b**2 - 596880*b + 6
Find the third derivative of -353731*n**2*u**3 + 7*n**2*u**2 + 3*n**2*u + 2*n*u**3 - 151*n*u - 172*u**2 wrt u.
-2122386*n**2 + 12*n
Find the third derivative of 878*d**6 + 1433*d**4 + 44*d**2 + 2*d - 11847.
105360*d**3 + 34392*d
Find the second derivative of 184254*h**2*p*t - 6*h**2*p - h**2 - 10*h*p*t - 158*h*t + p*t + 5*p - 5 wrt h.
368508*p*t - 12*p - 2
Find the third derivative of -28150158*l**4 + 155*l**2 - 25*l + 782.
-675603792*l
Find the second derivative of 368015*l*o**4*x + 10*l*o**3 - 17298*l*o*x - 47*l*o + 3*l - o*x wrt o.
4416180*l*o**2*x + 60*l*o
What is the third derivative of -3935703*p**6 - 3*p**4 - 7*p**3 + 463*p**2 - 227191 wrt p?
-472284360*p**3 - 72*p - 42
Differentiate -35*k**2*o*u + 1075750*k**2 + 5*k*o - 14*k*u + 777*o*u - 3*u wrt o.
-35*k**2*u + 5*k + 777*u
What is the second derivative of b**4 + 15*b**3 + 1506040*b**2 - 117941316*b?
12*b**2 + 90*b + 3012080
Find the first derivative of -70*n**4 + 242991*n**3 - 7626477 wrt n.
-280*n**3 + 728973*n**2
What is the third derivative of -937*p**5 - 3185*p**4 + p**3 + 64726147*p**2?
-56220*p**2 - 76440*p + 6
Find the third derivative of -15*v**5 + 1027*v**4 + 12*v**3 + 25187507*v**2.
-900
|
{
"pile_set_name": "DM Mathematics"
}
|
)*((m/(m/(m*m**(2/11)*m)))/m)/(m/(m*m**(2/15))) assuming m is positive.
m**(10567/8085)
Simplify ((d**(2/5))**(-20/7))**1 assuming d is positive.
d**(-8/7)
Simplify (n/n**(-1))**17*n*((n*n**1)/n)/n*n**(4/7) assuming n is positive.
n**(249/7)
Simplify (u/((u**(1/6)/u*u)/u))/(u/(u/(u/u**(1/4))))*(((u**0/u*u*u)/u)/u)**(1/47) assuming u is positive.
u**(599/564)
Simplify (u*u/u**(1/2)*u*u)/u**(-17) assuming u is positive.
u**(41/2)
Simplify ((u/(u*u**(1/3))*u)/(u/((u/(u*(u**(-2/9)/u)/u))/u)*u))/(u/(u**1*u)*u**(1/5)) assuming u is positive.
u**(31/45)
Simplify (u*u*u*u**(-6/5)*u**0)**1 assuming u is positive.
u**(9/5)
Simplify (z/z**(-32/5))**7 assuming z is positive.
z**(259/5)
Simplify (y**(-1)/y)**26*(y**(-2/3)*y)**(-48) assuming y is positive.
y**(-68)
Simplify (h*h**(2/27)*h)/((h*h**(4/5))/h)*h**(2/9)*(h*h*h/h**(3/5)*h)/h assuming h is positive.
h**(526/135)
Simplify r**(2/13)/r**(-11/4) assuming r is positive.
r**(151/52)
Simplify (b*b**(-4/11))/b**(10/3) assuming b is positive.
b**(-89/33)
Simplify (l/l**(11/4))/l*l**(-4) assuming l is positive.
l**(-27/4)
Simplify y**(-2/21)*y*y**(3/19)/y assuming y is positive.
y**(25/399)
Simplify (y*y*y**29)/((y*y**(5/16))/y) assuming y is positive.
y**(491/16)
Simplify (j**1)**41/(j**(-1))**(-32) assuming j is positive.
j**9
Simplify ((w/((w*((w*w*w/w**0)/w)/w)/w))/w)**36/(w*w**2/w)**1 assuming w is positive.
w**(-38)
Simplify (b*b/((b**34*b)/b*b)*b)/((b**(4/9)/b)/b) assuming b is positive.
b**(-274/9)
Simplify (x**(-22)*x)**(-4) assuming x is positive.
x**84
Simplify p*p**(-9)*p*p*p/p**7 assuming p is positive.
p**(-12)
Simplify c**(2/37)/(c**(-10)/c) assuming c is positive.
c**(409/37)
Simplify ((n/(n/(n**(-3)*n)))/(n**(1/4)*n))/(n/(n**(-1)*n))**(-1/2) assuming n is positive.
n**(-11/4)
Simplify (x/(x*x**(1/2)*x))**45*x**(-2/35)*x*x**(-9) assuming x is positive.
x**(-5289/70)
Simplify (l**(-2/3))**(-34)*(l**(-2/3)*l)**36 assuming l is positive.
l**(104/3)
Simplify w*w**(-10)*w**(-5)*(w/((w*(w**(-3/7)*w)/w)/w))/w**(3/5) assuming w is positive.
w**(-461/35)
Simplify v**22/((v**29*v)/v*v) assuming v is positive.
v**(-8)
Simplify ((c/((c*c*c*c*c*c**(2/7)*c)/c))/(c/c**8))/(c*c**(-1/3))**(-11) assuming c is positive.
c**(211/21)
Simplify r**(-1/3)*r*r*r**(1/9) assuming r is positive.
r**(16/9)
Simplify (q**(11/3)*(q/(q/(q/(q*(q/(q**12/q*q))/q))))/q)**(-3/4) assuming q is positive.
q**(-11)
Simplify ((u/u**(-13))/u*u)/u*u*u**(3/4) assuming u is positive.
u**(59/4)
Simplify ((t**(4/3)*t)/(t*t**(5/4)*t*t*t))**5 assuming t is positive.
t**(-175/12)
Simplify b*b**(2/49)*b*b/(b*b/(b/(b*b*b**(5/4)))) assuming b is positive.
b**(-237/196)
Simplify f**(1/7)/f**(-2/15)*(f/((f/(f/((f*f**(1/10)*f)/f)))/f))/(f*f/(f/(f*(f**(-3)/f)/f))) assuming f is positive.
f**(877/210)
Simplify (n**1)**(-41)/((n/(n**(1/2)*n))/(((n/n**(2/5))/n)/n)) assuming n is positive.
n**(-419/10)
Simplify (j*j**(1/4))**(-42)/((j*j**(-1/4)*j)/(j**(-4)/j)) assuming j is positive.
j**(-237/4)
Simplify v/(v/v**3)*v/(v**(-3/2)*v*v) assuming v is positive.
v**(7/2)
Simplify ((y/((y/y**(-3))/y*y)*y)/(y*y**(-8)))**(-1/7) assuming y is positive.
y**(-5/7)
Simplify r**(-8/3)/r**(-8)*r**(-1/2)/(r/r**(-3/5)) assuming r is positive.
r**(97/30)
Simplify (((v*((v**(2/7)*v)/v)/v)/v)/v)/((v**(13/2)*v)/v) assuming v is positive.
v**(-115/14)
Simplify (z*z**(1/8))/z**(-2/19)*(z**(-2/9))**(-49) assuming z is positive.
z**(16579/1368)
Simplify (y**(-4/5)*y)/(y*y**(-6/13)) assuming y is positive.
y**(-22/65)
Simplify ((c/((c**(-1)/c)/c))**47)**(-40) assuming c is positive.
c**(-7520)
Simplify (k**4/k*(k*(k/((k**(3/5)/k)/k)*k)/k)/k*k*k)/(k**2/k)**(-15) assuming k is positive.
k**(112/5)
Simplify (b*(b*b**0*b*b)/b)**(-9)/(b**(2/7))**44 assuming b is positive.
b**(-277/7)
Simplify y**(-3)*(y/y**(1/4))/y*y/((y*y/(y/(y/(y*y**(-3/2))))*y)/y)*y*(y*y**(2/5)*y)/y assuming y is positive.
y**(-47/20)
Simplify h*h**(-12/11)*h*h/(h/h**14) assuming h is positive.
h**(164/11)
Simplify (w*w**(1/2))**(-3/4)*(w**(-1/10)/w)/(((w*w*w*w/(w**(-2/13)*w)*w*w*w*w)/w)/w) assuming w is positive.
w**(-3837/520)
Simplify (z**(-13))**(2/33) assuming z is positive.
z**(-26/33)
Simplify ((j/(j**(1/8)/j*j))/j**9)**(-25) assuming j is positive.
j**(1625/8)
Simplify v**(-3)/v**(1/12)*(v**(-1/2))**46 assuming v is positive.
v**(-313/12)
Simplify (b**(2/5)/b)**(-1)*(b**(2/17)*b)/(b/(b/(b*b**(-2)))) assuming b is positive.
b**(231/85)
Simplify (t**0/t**3)**(-23) assuming t is positive.
t**69
Simplify (h**(5/6)/h**3)/(h*(h*h**(-1/3)/h)/h)**(-41) assuming h is positive.
h**(-95/6)
Simplify r/r**31*r**(-2/31) assuming r is positive.
r**(-932/31)
Simplify (l**6*l/(l/(l**(-1)*l))*l*l)**(-1/3) assuming l is positive.
l**(-8/3)
Simplify ((k*k**(-7))/k)/k**(4/19) assuming k is positive.
k**(-137/19)
Simplify (d**(1/3))**(-28/9) assuming d is positive.
d**(-28/27)
Simplify ((l/(l*l**(-2)/l))/(l*l*l*(l/((l*l/(l*l*l/(l**(-2)*l)*l*l)*l)/l))/l*l*l))/(l**(-1))**43 assuming l is positive.
l**37
Simplify z**(-2/5)*z*z/(z/(z*z/(z*z**(3/10)/z)))*z*(z/(z*z/z**(-2/9)*z))/z*z**(1/5) assuming z is positive.
z**(5/18)
Simplify y*y/y**(1/5)*y*y*y*y*y**(-2/11)*(y**1)**(6/5) assuming y is positive.
y**(75/11)
Simplify ((y*y**0/y)/y*y*y)**5/((y**(-2)*y)/y*y*y**5) assuming y is positive.
y
Simplify (r/(r/(r/(r*r/r**4)))*r**(2/3))/(r**5*r**(-2/17)) assuming r is positive.
r**(-62/51)
Simplify (((x**(-2)*x)/x)/(x/(x/(x/(x*x**0)))))**(3/2) assuming x is positive.
x**(-3)
Simplify ((b*b**(-16))/b)/(b/(b/(b/(b**13*b*b*b)))) assuming b is positive.
1/b
Simplify (z*z**(2/3)*z)**(-6/5)*z**2*z*z*z**(-4)*z assuming z is positive.
z**(-11/5)
Simplify (q*q*(q**(-3/14)/q)/q)/q**10 assuming q is positive.
q**(-143/14)
Simplify z**(-43)/(z*z*z/z**(-20/9)*z) assuming z is positive.
z**(-443/9)
Simplify (t/(t*t/(t*t**40)*t))/t*t/t**35 assuming t is positive.
t**4
Simplify (r**(-4)*r)**(-34) assuming r is positive.
r**102
Simplify o**(-1/4)/o*o*o**(-2/3)*o*(o**(2/5)/o)/o**(2/5) assuming o is positive.
o**(-11/12)
Simplify (i*i/i**(-1/58))/i**(3/7) assuming i is positive.
i**(645/406)
Simplify (y*y/(y/(y/(y*y**27))))**(-15/2) assuming y is positive.
y**195
Simplify (l*l*l/l**(-6)*l*l)/l*l**(-2/17)*(l**(-2/5))**(-16) assuming l is positive.
l**(1384/85)
Simplify h/((h/(h*h*h**(2/9)))/h)*h*h*h**2*h**(-6)/h*h*h**(-1) assuming h is positive.
h**(2/9)
Simplify (n**(2/3)*n**9*n)**(-9/14) assuming n is positive.
n**(-48/7)
Simplify (a*a**(-2/7)*a**5)/(a**(4/5)/a**(1/2)) assuming a is positive.
a**(379/70)
Simplify (i/(i*i**(2/5)))**15*(i*i/i**(-1/4)*i)**(-3/11) assuming i is positive.
i**(-303/44)
Simplify (i**(2/7))**(-6/13)/(i**(1/6)*i*i**(2/25)*i*i) assuming i is positive.
i**(-46117/13650)
Simplify ((j*j**4/j)/j*j*j*j/((j/j**(2/7))/j*j))/(j**(-1/4)*j)**(-28/3) assuming j is positive.
j**(86/7)
Simplify b**8/(b*b*(b*b*(b/(b*b**(-7)*b)*b)/b*b)/b)*((b*b/(b*b*b*b**(-2)/b*b*b*b*b))/b)**20 assuming b is positive.
b**(-62)
Simplify ((y/y**(-7))/(y**6*y*y))/(y*y*y**(1/4)*y)**(-3/29) assuming y is positive.
y**(39/116)
Simplify ((a/(a/(a**0*a))*a)/a)**2/(a/(a*a*a*a**7)*a*a**(1/4)) assuming a is positive.
a**(39/4)
Simplify (a**(-1/4)*a*a*(a/(a*a**(-6)/a*a*a))/a)/((a*a*a/(a/(a/(a/((a**(4/3)*a)/a))))*a)/(a/(a**(-5)*a))) assuming a is positive.
a**(77/12)
Simplify (n/n**8)/(n**(-2)/n)*(n/(n/n**(-2/9)))/((n/(n/(n**5/n*n)))/n*n) assuming n is positive.
n**(-83/9)
Simplify (((z*z*z/z**(2/13))/z)/z**(1/5))/((z/(z/(z*z/z**(-3/8)))*z)/z*z**(1/7)) assuming z is positive.
z**(-3173/3640)
Simplify ((d**18/d*d)/d**(-9))**(-2/65) assuming d is positive.
d**(-54/65)
Simplify w**(-2/9)/((w/(w*(w**(2/15)/w)/w))/w)*(w*w*w*w/((w/(w*w*w/w**(-3/8)))/w)*w)/w**(-1/2) assuming w is positive.
w**(2803/360)
Simplify (m*m/(m*m/(m/(m**(-1/2)*m*m*m*m*m))*m)*m)**(2/27) assuming m is positive.
m**(-7/27)
Simplify ((k*((k*k**(1/3))/k)/k)/k)**(3/8) assuming k is positive.
k**(-1/4)
Simplify (y**1)**(2/37) assuming y is positive.
y**(2/37)
Simplify (s*(s/(s**(-1/6)*s))/s)/((s*s**(-2/3))/s)*(s/s**(-6/5))/((s/(s*s**1/s))/s) assuming s is positive.
s**(121/30)
Simplify (n**(2/11)/n**(-1))/(n**(3/2)*n**5*n) assuming n is positive.
n**(-139/22)
Simplify b**(13/4)*b/(b/((b/(b**(1/7)/b)*b*b)/b*b)) assuming b is positive.
b**(199/28)
Simplify (c**(-5/3)/(c*c**(-5)/c))/(c*c**(-2/23)*c**(1/3)) assuming
|
{
"pile_set_name": "DM Mathematics"
}
|
9764.
244
What is the highest common factor of 96 and 12?
12
Calculate the highest common factor of 1089 and 66.
33
Calculate the highest common divisor of 6 and 116.
2
Calculate the highest common divisor of 30 and 12.
6
Calculate the greatest common factor of 1323 and 735.
147
What is the greatest common factor of 1743 and 336?
21
What is the greatest common divisor of 8 and 7976?
8
Calculate the greatest common divisor of 1368 and 972.
36
Calculate the greatest common divisor of 24 and 354.
6
What is the highest common factor of 47 and 235?
47
What is the greatest common factor of 95 and 10?
5
What is the highest common divisor of 364 and 65?
13
What is the greatest common divisor of 512 and 1664?
128
What is the highest common factor of 123 and 287?
41
What is the greatest common divisor of 97 and 11834?
97
What is the highest common divisor of 380 and 988?
76
Calculate the highest common factor of 14 and 322.
14
Calculate the highest common factor of 1539 and 324.
81
Calculate the greatest common factor of 154 and 132.
22
Calculate the greatest common factor of 29 and 2233.
29
Calculate the highest common factor of 130 and 240.
10
What is the greatest common factor of 29353 and 298?
149
What is the greatest common factor of 752 and 2068?
188
Calculate the greatest common factor of 16 and 2608.
16
Calculate the highest common divisor of 86 and 32809.
43
Calculate the greatest common factor of 189 and 35343.
189
Calculate the highest common divisor of 697 and 85.
17
What is the greatest common factor of 656 and 5986?
82
Calculate the highest common factor of 98 and 154.
14
What is the greatest common divisor of 516 and 12?
12
What is the greatest common factor of 38 and 608?
38
Calculate the greatest common factor of 8789 and 187.
187
Calculate the highest common factor of 350 and 42.
14
What is the highest common divisor of 24 and 372?
12
Calculate the highest common divisor of 71 and 497.
71
Calculate the highest common divisor of 172 and 559.
43
What is the highest common divisor of 28 and 6524?
28
What is the highest common factor of 1140 and 420?
60
What is the highest common factor of 90 and 150?
30
Calculate the highest common factor of 2 and 54.
2
What is the highest common factor of 17 and 6885?
17
Calculate the highest common divisor of 736 and 529.
23
Calculate the greatest common divisor of 1989 and 156.
39
What is the highest common divisor of 30 and 12?
6
Calculate the highest common factor of 60 and 1520.
20
What is the greatest common factor of 156 and 12?
12
Calculate the highest common factor of 20 and 3.
1
What is the greatest common factor of 1 and 728?
1
What is the highest common divisor of 18003 and 51?
51
What is the greatest common divisor of 4 and 10880?
4
What is the greatest common factor of 46 and 667?
23
What is the greatest common divisor of 10 and 45?
5
Calculate the highest common factor of 3 and 478.
1
What is the highest common divisor of 3502 and 238?
34
What is the greatest common factor of 2924 and 153?
17
Calculate the highest common divisor of 108 and 660.
12
What is the highest common divisor of 34 and 17?
17
Calculate the greatest common divisor of 288 and 792.
72
Calculate the highest common factor of 245 and 147.
49
What is the greatest common factor of 3311 and 3010?
301
Calculate the highest common factor of 1030 and 190.
10
Calculate the greatest common divisor of 63 and 63.
63
Calculate the greatest common divisor of 9 and 1263.
3
Calculate the greatest common divisor of 100 and 275.
25
Calculate the greatest common factor of 12 and 60.
12
Calculate the highest common factor of 15 and 2865.
15
Calculate the greatest common factor of 1216 and 38.
38
What is the greatest common factor of 26 and 13780?
26
What is the greatest common divisor of 472 and 8?
8
Calculate the greatest common factor of 710 and 40.
10
What is the greatest common factor of 24 and 1128?
24
What is the greatest common divisor of 90 and 585?
45
Calculate the greatest common divisor of 1157 and 65.
13
What is the greatest common factor of 22 and 4895?
11
Calculate the greatest common divisor of 2904 and 176.
88
Calculate the greatest common divisor of 112 and 7.
7
What is the highest common divisor of 23263 and 43?
43
What is the highest common divisor of 19845 and 270?
135
Calculate the highest common factor of 50 and 5375.
25
Calculate the greatest common divisor of 2768 and 128.
16
Calculate the greatest common divisor of 2581 and 445.
89
What is the greatest common factor of 1539 and 81?
81
What is the highest common divisor of 36 and 84?
12
Calculate the highest common factor of 63 and 153.
9
What is the highest common factor of 4401 and 27?
27
What is the greatest common factor of 497 and 4757?
71
What is the greatest common divisor of 960 and 180?
60
What is the greatest common factor of 348 and 16?
4
What is the greatest common divisor of 352 and 224?
32
Calculate the greatest common factor of 57 and 1159.
19
Calculate the greatest common factor of 20 and 40.
20
What is the highest common factor of 228 and 474?
6
Calculate the highest common divisor of 126 and 168.
42
What is the greatest common divisor of 235 and 115?
5
What is the greatest common divisor of 189 and 1197?
63
Calculate the greatest common divisor of 3097 and 19.
19
Calculate the greatest common factor of 18 and 390.
6
What is the greatest common factor of 869 and 11?
11
What is the highest common factor of 76 and 57?
19
What is the highest common factor of 66 and 2354?
22
What is the greatest common factor of 44 and 1969?
11
Calculate the highest common divisor of 351 and 243.
27
Calculate the greatest common factor of 25 and 20.
5
What is the greatest common factor of 72 and 2484?
36
Calculate the highest common divisor of 88 and 24.
8
What is the highest common factor of 4088 and 952?
56
Calculate the greatest common divisor of 66 and 1122.
66
Calculate the greatest common factor of 34 and 11492.
34
What is the highest common factor of 39 and 975?
39
Calculate the greatest common factor of 62 and 5952.
62
Calculate the greatest common divisor of 544 and 640.
32
Calculate the greatest common factor of 128 and 16.
16
Calculate the highest common factor of 91 and 35.
7
What is the highest common divisor of 26 and 767?
13
What is the greatest common divisor of 6453 and 9?
9
What is the highest common factor of 290 and 58?
58
What is the greatest common factor of 32 and 1576?
8
Calculate the greatest common factor of 64 and 2048.
64
Calculate the greatest common factor of 1411 and 3403.
83
Calculate the greatest common divisor of 7439 and 43.
43
What is the greatest common divisor of 759 and 6?
3
Calculate the highest common divisor of 4579 and 19.
19
What is the highest common divisor of 40 and 100?
20
Calculate the highest common factor of 400 and 80.
80
Calculate the highest common factor of 667 and 391.
23
Calculate the greatest common factor of 14 and 10346.
14
What is the greatest common divisor of 8550 and 1539?
171
What is the highest common divisor of 119 and 7259?
119
What is the highest common divisor of 132 and 462?
66
What is the greatest common factor of 448 and 7?
7
Calculate the highest common factor of 31 and 589.
31
Calculate the greatest common divisor of 325 and 175.
25
Calculate the greatest common divisor of 693 and 99.
99
What is the greatest common divisor of 87 and 3712?
29
What is the greatest common factor of 55 and 1243?
11
Calculate the highest common factor of 57 and 551.
19
Calculate the greatest common divisor of 84 and 56.
28
Calculate the highest common divisor of 301 and 1075.
43
What is the greatest common divisor of 54 and 594?
54
What is the highest common factor of 16 and 2?
2
Calculate the greatest common divisor of 423 and 893.
47
Calculate the greatest common divisor of 539 and 1715.
49
What is the greatest common divisor of 113 and 18871?
113
What is the greatest common divisor of 69 and 184?
23
Calculate the greatest common factor of 462 and 1056.
66
What is the highest common factor of 4453 and 949?
73
What is the greatest common divisor of 511 and 21?
7
What is the highest common divisor of 11 and 583?
11
What is the greatest common factor of 13068 and 108?
108
Calculate the greatest common factor of 14
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let k be p(-9). Suppose 0 = -d + 4*d - 324. Suppose 5*w - k*c = -d + 496, -2*c + 383 = 5*w. Does 26 divide w?
False
Let t(z) = -5*z - 37. Let m be t(-8). Suppose 0 = -y + 4*r + 3 + 7, -13 = -m*y - 5*r. Suppose 2*i - 256 = q, y*i = 3*i - 5*q + 358. Is i a multiple of 9?
True
Let y = -61 - -74. Suppose -y*l - 8 = -21*l. Is -8 + 11 - (2 - l*50) a multiple of 7?
False
Let v be (6/(-9))/(4/36). Let b(q) = -q**3 - 7*q**2 - 5*q + 13. Let p be b(v). Let o(n) = n**3 - 4*n**2 - 13*n + 4. Is o(p) a multiple of 10?
True
Let c = -24 + 19. Let v be (-96)/(-10) + -2 + (-2)/c. Suppose -b - 364 = -v*b. Is 26 a factor of b?
True
Let k be -5 + ((-2)/3)/((-16)/(-72)). Does 26 divide (-15)/(9*k/624)?
True
Let o be (-41)/1599 - 3160/(-39). Let v = -102 - -160. Let x = o - v. Is x a multiple of 3?
False
Let n be (2/(-6))/(12/(-360))*-1. Does 5 divide (-22)/4 + 4 - 1125/n?
False
Let b(w) = -6*w**3 + 8*w**2 + 44*w + 262. Is b(-5) a multiple of 42?
False
Suppose -2*x = 39 - 41. Let m be x*(-2)/13 + 469/91. Suppose m*k = 0, 0*k = -2*q - 4*k + 226. Does 25 divide q?
False
Let n = 7 + -7. Suppose -5*b + 2*g + 1 - 7 = n, 0 = 3*b + 2*g - 6. Suppose b = 40*x - 38*x - 106. Is x a multiple of 15?
False
Let d = 1056 + -626. Suppose 2*k - q = d, 14*q = -k + 12*q + 220. Is k a multiple of 46?
False
Suppose -686*x + 681*x = -3350. Is 102 a factor of x?
False
Let m(j) = -j**2 + 8*j + 14. Let l be m(9). Suppose l*g - 875 = -255. Is g a multiple of 11?
False
Let g be 49/(-14)*(-1*14 + 2). Let n be 9/2 - g/28. Suppose 6 = -n*a + 2*a - 3*d, -5*d = 15. Is 3 a factor of a?
True
Suppose -149184 = 1246*k - 1278*k. Does 21 divide k?
True
Let l(z) = -2*z - 3. Let m be l(0). Let u be (4/m)/((-10)/45). Suppose -u*o + 105 = -5*o. Does 15 divide o?
True
Let n be (-1630)/(-25) + 16/20. Is 8 a factor of 93 + -1 + n/11?
False
Suppose 0 = -16*m - 65 + 17. Does 31 divide m/(-5)*7440/72?
True
Suppose -135*g + 100*g + 208348 - 11998 = 0. Does 51 divide g?
True
Let s(c) = 35118*c + 522. Is s(1) a multiple of 120?
True
Let h(s) = 159*s**2 + 10*s - 12. Let i be h(-5). Suppose -x + 8*x - i = 0. Suppose 4*v = x - 151. Is 17 a factor of v?
True
Suppose 0*q + 2*q - 2916 = -5*b, -3*b - 4*q + 1744 = 0. Is 4/12 - b/(-3) a multiple of 12?
False
Let a = 616 - 910. Let g = a - -490. Does 11 divide g?
False
Let t(u) = 6*u**2 - 4. Let z(f) = -6*f**2 + 2*f + 3. Let x(i) = 3*t(i) + 2*z(i). Is x(-6) a multiple of 31?
True
Suppose -17*n - 336 = -13*n. Let i = 356 - n. Suppose -z + 6*z = i. Is 16 a factor of z?
False
Let x(r) = r**3 - 38*r**2 - 12*r + 156. Does 25 divide x(39)?
False
Suppose 80*j = 60*j + 250440. Does 8 divide j?
False
Suppose 0 = 3*i - 379 - 701. Let q be (i/(-35))/(-6) + 4/14. Suppose o + q*o = 249. Does 29 divide o?
False
Suppose -36*q + 217669 = -73211. Does 40 divide q?
True
Let y = 373 - 373. Suppose u - 2*u = -3*o - 217, y = -2*o - 4. Does 12 divide u?
False
Let y = 8512 - 4489. Does 129 divide y?
False
Let n be 145 + (16 + -11)/(10/4). Let m = n + -77. Does 15 divide m?
False
Let i(s) = 48*s**2 - 17*s + 15. Let v(g) = 50*g**2 - 18*g + 14. Let p(n) = 7*i(n) - 6*v(n). Is p(2) a multiple of 13?
True
Is 7 a factor of (-1537225)/(-153) - (-10 - -6)*(-2)/36?
False
Suppose 4*n - 13 - 39 = 0. Suppose 17*w = n*w + 676. Does 13 divide w?
True
Let m be ((-8)/(-10))/((-3)/(-15)). Suppose 2*v + 4*u + 16 = 0, 7 = -4*v - 4*u + u. Suppose m*k = -5*g + 587, 2*g - 454 = -v*g + 2*k. Is g a multiple of 23?
True
Let a(y) = -2*y**2 + 35*y - 40. Let k be a(16). Let c(v) = 3*v**2 + 4*v - 14. Is 7 a factor of c(k)?
True
Suppose 9*h = 1669 + 833. Is h a multiple of 6?
False
Let o be ((-2)/(-7))/((-9)/(-63)). Does 3 divide (21/(-35) - 0)/(o/(-250))?
True
Let u be (-1)/2*(-1 + -19 - -2). Suppose -10*t = -5*n - u*t + 111, 2*n = 5*t + 49. Is (-4)/n + 23156/308 a multiple of 15?
True
Does 31 divide 5715 - (-4 - (-26)/6)*12?
False
Suppose 0 = 169*l - 168*l - 5832 - 5999. Does 5 divide l?
False
Let a(m) = -m**3 - 10*m**2 - 15*m + 7. Let w be a(-8). Let h be (-8)/(-12) + 416/(-12) + w. Is 19 a factor of 7/h - 952/(-10)?
True
Let y(g) = -g**2 + 16*g - 19. Let a be y(15). Let c be 5 + (-8 - a) - 3. Does 27 divide (584/40 - 5)/(c/(-45))?
True
Let j(i) = 16*i**3 + i**2 + 4*i + 5. Let p(r) = -r**3 - r**2 - 1. Let h(f) = -j(f) - 2*p(f). Let x be h(-3). Suppose -7*q = -3*q - x. Does 11 divide q?
True
Suppose 4*l = 2*f + 26868, 5*l - 20048 - 13546 = -2*f. Is l a multiple of 54?
False
Suppose 9*p + 118 = -17. Let f(r) = -24*r + 72. Does 24 divide f(p)?
True
Let s(b) = 31*b**2 - 754*b + 19. Is s(37) a multiple of 35?
True
Suppose -2502 = -18*x + 16*x + 2*m, m = -1. Suppose 373*u - x = 363*u. Is 22 a factor of u?
False
Let n(l) = 10*l + 2. Let k be n(0). Suppose 604 = 2*f + 2*f + 3*s, -f - k*s = -146. Let c = 336 - f. Is 13 a factor of c?
True
Let u(c) = -2*c**3 - 6*c**2 + 6*c + 11. Suppose 13*y + 62 = -3. Does 17 divide u(y)?
False
Let l = -119 - -125. Let j(n) = n**3 - 5*n**2 - 7*n + 24. Let x be j(l). Let c(u) = -u**3 + 19*u**2 - 20*u + 49. Is c(x) a multiple of 10?
False
Suppose 5*t = 4*o + 8, -4*t + 7 - 1 = -3*o. Suppose t = 5*f + 5*l - l - 358, 4*f - 3*l = 305. Let i = -58 + f. Does 7 divide i?
False
Suppose 0 = 2*b - 2*i - 8, -4*b - 4*i - 23 = -b. Is (100 + -52)/(1/2 - b) a multiple of 16?
True
Suppose 5*s - 5 = 10. Suppose 0 = 66*d - 1700 + 644. Is 13 a factor of ((-1040)/d)/((-1)/s)?
True
Is 25970/4 + (-76)/(-1064)*(1 + 6) a multiple of 40?
False
Let y = 715 - 51. Is y a multiple of 8?
True
Suppose 3*c + 76 = 2*c. Let f be 107 - 10/((-60)/(-6)). Let h = c + f. Is h a multiple of 5?
True
Let j(x) = 5*x**3 + 6*x**2 - 7*x + 19. Let k(n) = n**3 + 1. Let p(r) = j(r) - 4*k(r). Let d be p(-7). Suppose -d*t = -20*t + 200. Is t a multiple of 5?
True
Let y(b) = -3*b - 36. Let g be y(-18). Suppose -15*x - 1632 = -g*x. Suppose 5*p - x = -3*p. Does 34 divide p?
True
Let u(p) = 177*p - 225. Let m = 207 - 202. Is 12 a factor of u(m)?
True
Suppose 39*x - 217428 = 376620. Does 128 divide x?
True
Let l = 539 - -4713. Suppose -95*n + 82*n = -l. Does 6 divide n?
False
Suppose 4*o - 4579 = 682*x - 685*x, -20 = -4*x. Is o a multiple of 7?
True
Let u be ((-102)/(-34))/((-2)/(-4)*-3). Suppose -14*m = -19*m - 25. Does 7 divide (u - m)*((-1)/(-1) - -13)?
True
Suppose -35*t - 38243 = -34669 - 108889. Is 17 a factor of t?
True
Suppose i - 906*m + 903*m - 27963 = 0, 3*m = 2*i - 55926. Is i a multiple of 23?
False
Suppose 2910*l - 2870*l = 1343200. Is 115 a factor of l?
True
Suppose 2*y - 7*y = -5*u + 40355, u - 8073 = 3*y. Is 83 a factor of u?
False
Suppose -r + t + 33675 = 0, 12*t = -4*r + 126749 + 8063. Is r a multiple of 9?
False
Let x = -6183 + 9391. Does 9 divide x?
False
Let w be 2*2*6/8. Suppose 3*p = h - 5, 47*h - p = 52*h - 9. Suppose -w*d - h*d + 85 = 0. Is 17 a factor of d?
True
Suppose 0 = 16*c - 32. Suppose -8*g + c*a + 770 = -6*g, 0 = -5*a + 25. Does 20 divide g?
False
Suppose -15*d + 20*d = 2*p + 34246, 0 = d - 2*p - 6854. Is d a multiple of 32?
True
Let o(x) = -4*x**2 + 58*x - 6. Let h be o(12). Let z = h - -108. Is z a multiple of 6?
True
Let f = 6798 + -2486. Does 28 divide f?
True
Let x(s) = 1539*s**3 - 2*s - 3. Let l be x(2). Suppose -l = -29*g + 18319. Is g a multiple of 48?
True
Is 65284 + (-594)/54 + (7 - 0) a multiple of 10?
True
Let f be 4152/(-20) + -5 - (-21)/35. Let z = f + 695. Is 60 a factor of z?
False
Let g be (14/21)/(2/36). Let n be 1*(g - -1) + (1 - 0). Suppose n*q - 6*q = 528. Does 28 divide q?
False
Let u(r) = -21*r - 11. Let m(k) = 7*k + 4. Let q(z) = 8*m(z) + 3*u(z). Let s(d) = -7*d - 2. Let t(a) = -3*q(a) + 2*s(a). Does 11 divide t(8)?
True
Let v(b) = 5*b**2 + 15*b. Suppose 4*m = -3*f + 6*f - 41, 3*f - 52 = 5*m. Is v(m) a multiple of 55?
True
Let l = 182 + -174. Suppose 66 = l*d - 174. Is d a multiple of 10?
True
Let d(u) = -u**3 - 5*u**2 - 3*u - 9. Let n be d(-5). Suppose -2*h + 2*w = 2*h + n, -w - 5 = 0. Is 2/h - 219/(-2) a multiple of 18?
False
Let b = 453 - -1155. Is 214 a factor of b?
False
Let a(t) = -401*t - 2864. Does 42 divide a(-31)?
False
Let p = -399 - -751. Suppose -3*c + p + 237 = -4*u, 0 = -5*c + u + 1010. Is 10 a factor of (3 - -1)*1 + (c - -2)?
False
Let m(s) = s**2 + 4*s - 3. Let u be m(-6). Suppose 0 = -h + t + 3, 13 = -3*t + 10. Suppose -4*b + 15 = h*z - 7, -3*b - 4*z = -u. Is 5 a factor of b?
|
{
"pile_set_name": "DM Mathematics"
}
|
2/7, -1/11?
-1/11
Let z = -128 + 257/2. Let i = -1.7 + 1.4. What is the second biggest value in 30, z, i?
z
Let g = 661/7 - 94. What is the second biggest value in g, 1, -1/4?
g
Suppose 37 = -104*j + 245. Let b = 0.3 + 6.7. What is the third smallest value in b, j, -1?
b
Suppose 12 = 2*s + 5*y, 2*s - 10 = 3*y - 30. Which is the second biggest value? (a) 0.4 (b) s (c) -23 (d) -5
b
Let x = 57 + -65. Let f be (6/x)/((-30)/(-4)). Which is the second smallest value? (a) 2 (b) f (c) 0
c
Let l = 4967/115 - 975/23. Let m = 0 - -1. Which is the third biggest value? (a) m (b) l (c) 2/9 (d) -0.01
c
Let r = 155/167 + 346776/1169. Let g = 297 - r. Let s(x) = -x**3 + 7*x**2 - 7*x + 8. Let n be s(6). Which is the third smallest value? (a) 2/3 (b) n (c) g
b
Suppose 74 - 69 = -l. Let f = 33971/114 + -595/2. Let r = -3/19 + f. Which is the biggest value? (a) 0.5 (b) r (c) l
a
Let q = -17.66 + -0.34. Let l = -17.95 - q. Which is the third smallest value? (a) -4 (b) l (c) -1
b
Suppose -4*j + 18 = 2*m, -m + 3 = -2. Suppose o - 3 = -4*t - 12, 2*t + j = 2*o. What is the second biggest value in 0.1, 1/4, 34, o?
1/4
Let h = 5.7 + -4.58. Let f = h + -1.1. Let q = f + 7.98. Which is the smallest value? (a) -1 (b) -2 (c) q
b
Suppose 5*z - 14 = -f, -2*f - 17 = -5*z - 0*f. Suppose z*w - 21 + 15 = 0. Which is the biggest value? (a) -5 (b) 0.1 (c) w
c
Let z = 112 + -6. Let o = -106.2 + z. Let x = 0.2 + 3.8. Which is the second biggest value? (a) x (b) -3/7 (c) o
c
Let x = 0.1 - 0.6. Let p = x + -13.5. Let h = p - -11. Which is the biggest value? (a) h (b) 0.5 (c) 3/2
c
Let i = 0.26 - -1.14. Let k = 2.48 + 0.12. Let r = k + i. Which is the second smallest value? (a) r (b) 0.4 (c) -3
b
Let t be ((-146)/(-365))/(4/(-10) - 1). What is the fourth biggest value in -4, -1/2, t, 2?
-4
Let t = -32.7 + 34.7. What is the biggest value in -3, t, 1, -0.02?
t
Let m(k) = k**3 + 6*k**2 - 9*k - 12. Let h be m(-7). What is the second smallest value in -4/11, 0, -0.2, h?
-0.2
Let l(w) = -w**3 - 15*w - 6 + 1 + 2*w**3 + 13*w**2 + 0. Let s be l(-14). Suppose -2*x - 1 = s. What is the second smallest value in 2/7, -3, x?
-3
Let j be 2/(3 + (-7)/3). Suppose j*z + 5*x - 3*x = 11, 0 = -2*z + 3*x + 3. Let f = 0.1 - 0.11. Which is the biggest value? (a) f (b) -0.5 (c) z
c
Let x = 5 - 6. Let i be (2 + x)*(-4)/12. Let u = -32 - -32.1. Which is the second smallest value? (a) u (b) 2 (c) i
a
Let d be (-6)/9*(470/(-65) - -7). What is the third smallest value in -0.3, d, 0.09?
d
Let g be (4/(-3))/(-1) - 2. Let q = 356 - 345. Which is the third smallest value? (a) g (b) -0.2 (c) q
c
Let y = 0.05 - 1.05. Which is the fourth biggest value? (a) -2/5 (b) 0.3 (c) -4 (d) y
c
Let a = -312 + 302. What is the fourth smallest value in a, 0.5, 4, 0.3?
4
Let p = 53689/15 - 3574. Let f = -23/5 + p. Let v = 28 - 33. What is the smallest value in -2/7, v, f?
v
Let p be (-2*1*(-22 - -9))/(-1). Let y = -26 - p. What is the biggest value in -0.4, -0.19, y?
y
Let h = -0.16 - -15.16. Let q = 147 + -131. Let m = q - h. Which is the third smallest value? (a) -1 (b) -2 (c) m
c
Let g be -2 + 48/(10 - 4). Which is the third smallest value? (a) 1 (b) g (c) 69
c
Let v be 96/210 - (-2)/5. Let w = 9 - 4. Let s = 4.5 - w. Which is the biggest value? (a) 3 (b) v (c) s
a
Let v = 297 + -126. Let j = -120 + v. Let d = 99/2 - j. Which is the biggest value? (a) d (b) -0.3 (c) 0
c
Let q = -5 + 3. Let x = -11 - -16. Let h = -21/4 + x. What is the smallest value in h, q, 4/3?
q
Let m = 587.98 + -588. What is the biggest value in 0, -5, m?
0
Let d = -89 - -76. What is the fourth biggest value in 1, 0.2, d, -0.3?
d
Let j = 11/8 - 9/8. What is the smallest value in 2.9, 4, j, 0.4?
j
Let q = -1.58 - -84.58. Let n = q - 72. What is the smallest value in n, -2/9, 0.4?
-2/9
Let d = -322 + 325. Let x(w) = w**3 - 8*w**2 + 6*w + 10. Let g be x(7). Suppose o + g = -2. Which is the third biggest value? (a) o (b) 5 (c) d
a
Let y = 22.8 - 15.79. Let i = y + -0.01. Which is the second biggest value? (a) i (b) -1/3 (c) -1/7 (d) -3
c
Let g be 3/(-15) - (-156)/30. Suppose 5*z - 3*x = 36, -3*z - g*x - 22 = -5*z. Let o be z/(-9) - (-84)/18. Which is the smallest value? (a) -3 (b) 0.02 (c) o
a
Let w = 422 - 422.5. What is the second biggest value in -3, 226, w?
w
Let s = -235 - -233. What is the second smallest value in -43, 2, s?
s
Let k = 86.7 - 91.7. Which is the third smallest value? (a) -1 (b) 16 (c) k (d) 1
d
Let i = -140 + 196. Let z = 61 - i. What is the biggest value in z, 0, -4?
z
Let v = 0.7 - 0.4. Let k = 84.3 - 85. Let s = k + v. What is the second smallest value in s, -0.2, 4?
-0.2
Let q = 11/10 + 2/5. Let a = 2.3 - 20.3. Let x = 8 + a. What is the third biggest value in 3, x, q?
x
Let v(f) = f**3 - 10*f**2 - 5. Let p be v(10). Let j = -1060 + 1065. What is the biggest value in p, 6, j?
6
Let c be (-1836)/(-5103) + (-2)/27. What is the smallest value in c, -0.3, 11?
-0.3
Let y = 131.4 - 131. What is the third biggest value in 24, 3, y?
y
Let x(v) = v**3 + 160*v**2 + 0 - 146*v**2 + 1 - 15*v. Let n be x(-15). Which is the second biggest value? (a) 0.5 (b) n (c) -2
a
Suppose 3*q + 5*m + 18 = 0, -4*q - 40*m + 35*m - 19 = 0. Which is the biggest value? (a) 1 (b) 78/11 (c) q
b
Let v = -50 - 101. Let f = 153.6 + v. Which is the second biggest value? (a) 2 (b) f (c) 1
a
Let x = -27.6 - 6.4. Let h = -14 - x. Let t = -20 + h. What is the second biggest value in -1/2, -0.2, t?
-0.2
Let a = -292 + 291. Let h = -5.1 + 1.1. Let k = a + h. What is the smallest value in k, -3/2, 0.2?
k
Suppose 0*j - 3*j - 6 = -z, -2*z = 6. Let l = -4 - -8. What is the smallest value in j, l, 3?
j
Let l = 77 - 82. Let n be (-2)/(l/(40/28)). What is the smallest value in 2, n, 0.01?
0.01
Let l = 0.125 - -0.275. Which is the third biggest value? (a) -3/4 (b) l (c) -0.87
c
Let x(i) = -i**3 + 8*i**2 + 9*i + 1. Let b be x(9). Let d = -0.024 + 0.114. What is the fourth biggest value in -1/2, d, 5, b?
-1/2
Let t = 195 + -352. Let f = t - -155. Let s = 9 + -17/2. What is the third smallest value in s, -13, f?
s
Let s be (-8)/(0 - -2) + 15 + -11. Which is the smallest value? (a) s (b) -7 (c) -0.2 (d) 0.1
b
Let o = 0.9 + -1.18. Let t = 0.02 - o. Which is the second biggest value? (a) -4 (b) t (c) -5
a
Let t = -2.161 + 2.181. Let p be ((-6)/16)/((-1)/2). Which is the second smallest value? (a) t (b) 4 (c) p
c
Suppose 2*h + 100 = 7*h. Suppose 11*p - 7*p + h = 0. Which is the third biggest value? (a) 5 (b) p (c) -3/4
b
Let z = 2 + -4. Suppose -i + 5*i = -4*s + 64, 5*s = -i + 60. Suppose 5*b - s = -4*q, 4*b - 3*q = -0*b + 15. What is the third biggest value in z, b, -5?
-5
Let l = -0.7935 + 0.0935. Which is the fourth smallest value? (a) 0.2 (b) l (c) -2/9 (d) 4
d
Suppose -2*x = -4*k - 16, 3*x + 16 - 10 = 0. What is the biggest value in 0.15, -0.4, -3/5, k?
0.15
Let z = 116.9 + -116.6. Which is the second biggest value? (a) z (b) -6 (c) 4/7 (d) -1/5
a
Let s = -147 + 65. Let i = s - -82.04. What is the second biggest value in i, -1/4, -1/3?
-1/4
Suppose -5*j + 2 - 3 = 4*x, 0 = 2*j + x + 1. Which is the biggest value? (a) -0.5 (b) j (c) 1.2 (d) -5
c
Let o(d) = 3*d**3 + d**3 + 3*d - 3*d**3 + 4*d**2 + 4. Let w be o(-3). What is the third smallest value in -0.4, w, 3?
w
Let c = -17.6 + 18. Let f = 116 + -115.5. What is the fourth biggest value in 2/9, f, c, 0?
0
Let w be (-3 - 0)/((-12)/548). Let m = -406/3 + w. Let t = 113 - 113. Which is the third biggest value? (a) t (b) -0.5 (c) m
b
Let l = 0.28 + -0.3. Let s = l + -1.98. Let h = -0.04079 + -0.15921. Which is the third biggest value? (a) h (b) s (c) 0.4
b
Let c = 49.5 - 50. Let p = 0.15 + 0.05. What is the third smallest value in c, p, 4?
4
Let l be 68/(-170) - (-104)/10. Let z be (l/20)/((-23)/12 + 2). Which is the smallest value? (a) 0.4 (b) z (c) -2/17
c
Let c = 2.8 - 3. Let b = 6.29 + -6. Let v = -0.11 - b. What is the biggest value in v, c, -3/7?
c
Let s = 240.2 + -186. Let h = -54 + s. What is the second biggest value in 5, -2, 0.1, h?
h
Let o = -3.18 - -7.88. Which is the biggest value? (a) o (b) 0 (c) -6/5
a
Let n = 323 - 328. What is the fourth biggest value in 2/7, n, 2, 1?
n
Let k = 3/4412 + -2920765/30884. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -2*i + 15 = 3*d, -d + 15 + 4 = 3*i. Calculate i*x(v) - 5*f(v).
-2*v**3
Let i(u) = -u**3 + u**2 + 1. Let k(a) = -3*a**3 + 8*a**2 - 11*a + 6. Let v(s) = 3*i(s) + k(s). Let q(g) = -g**3 + 2*g**2 - 2*g + 2. Give -11*q(j) + 2*v(j).
-j**3 - 4
Let n(w) = -76*w**3 + 38*w. Let q(g) = -g**3 + g. Give n(j) - 38*q(j).
-38*j**3
Let t(o) = 9*o. Let g(d) = -8*d - 1. Let a(j) = -5*g(j) - 4*t(j). Let k(c) = -6*c - 8. Give -8*a(n) - 5*k(n).
-2*n
Let g = 6 - 2. Suppose 0 = x - d - 4, 0*x + g*x = -3*d - 5. Let n(i) = -i**3 - i**2 - i. Let k(o) = 5*o**3 + 2*o**2 + 6*o. Give x*k(v) + 4*n(v).
v**3 - 2*v**2 + 2*v
Let v be 22/2*-1 - (-5 + 8). Let q(y) = 6*y + 14. Let t(n) = 2*n + 5. Calculate v*t(b) + 5*q(b).
2*b
Let o be 3 + ((-9)/(-3) - 1 - 0). Let i(b) = -7*b**2 + 3*b + 4. Let j(p) = -6*p**2 + 2*p + 3. Calculate o*j(y) - 4*i(y).
-2*y**2 - 2*y - 1
Let y(j) = -j**3 - 4*j**2 + 3. Let x(s) = 1. What is 5*x(n) - y(n)?
n**3 + 4*n**2 + 2
Let j(g) = 7*g. Suppose 15 = -p + 5*c, 0 = -4*p + 3*c - 2*c - 22. Let l(t) = -2*t + t + 7*t + 5*t. Give p*l(m) + 8*j(m).
m
Let z(m) = 4*m. Suppose -5*o = 5*t + 60, 2*o + 38 = -7*t + 3*t. Let g = t - -2. Let y(i) = -3*i. What is g*y(p) - 4*z(p)?
-p
Let n be 21/(-28) - 42/8. Let a = 8 + n. Let k(l) = 6 - 3 - 9 + a*l - 7. Let d(m) = -m + 7. Give -11*d(w) - 6*k(w).
-w + 1
Let a(h) = -h - 4. Let d(l) = 2*l - 5 - 4*l + 7. Let g be d(3). Let o(f) = 2*f + 9. What is g*o(y) - 9*a(y)?
y
Suppose 155 = -3*b - 2*b. Let k = 17 + b. Let h(g) = -5*g. Let f(j) = 2*j. Give k*f(x) - 6*h(x).
2*x
Let w(f) = 2*f**2 + 2*f - 2. Let s(y) = 0 - y**2 - y + 2*y**2 + 1 - 2*y**2. Determine -3*s(r) - w(r).
r**2 + r - 1
Let w(r) = -10*r**3 - 6*r**2 - 36*r. Let z(d) = 2*d**3 + d**2 + 7*d. What is -3*w(q) - 16*z(q)?
-2*q**3 + 2*q**2 - 4*q
Let b(f) = f**2 - 8*f - 8. Let v(r) = r + 1. Give -2*b(g) - 14*v(g).
-2*g**2 + 2*g + 2
Suppose 48 = 12*q - 6*q. Let x(g) = -2*g - 3. Let s(d) = 5*d + 9. Give q*x(z) + 3*s(z).
-z + 3
Let k = -11 - 0. Let u(n) = -29*n + 12 + 4 - 15. Let i(o) = 15*o - 1. Let h(p) = k*i(p) - 6*u(p). Let r(f) = -4*f - 2. Give -2*h(m) - 5*r(m).
2*m
Let n(f) = 3*f. Let p be (2 + -1)*(1 - 11). Let s(d) = -d. Let m be -2 + 3/(3/(-2)). Give m*n(r) + p*s(r).
-2*r
Let v(l) = -l. Let z(t) = -2*t**2 - 10*t + 6. Calculate -8*v(d) + z(d).
-2*d**2 - 2*d + 6
Let o(l) = l - 1. Let j = 15 + -12. Let v = -6 + j. Let b(t) = -t + 4. Give v*o(m) - b(m).
-2*m - 1
Let s(n) = 3*n - 3. Let l(m) = 2*m - 2. Calculate 5*l(c) - 4*s(c).
-2*c + 2
Let u = 6 + -3. Suppose -4*q = -q + u. Let y = q - 2. Let g(i) = -5*i**2 - 3*i. Let f(c) = -4*c**2 - 2*c. Give y*g(d) + 4*f(d).
-d**2 + d
Let f = -41 + 37. Let u(d) = 15*d**3 - 7*d**2 + 7*d + 7. Let z(q) = 8*q**3 - 4*q**2 + 4*q + 4. What is f*u(l) + 7*z(l)?
-4*l**3
Let p(h) = -3*h - 1. Let o(q) = 2*q + 1. Let b(z) = -7*o(z) - 5*p(z). Let y(a) = -2. Calculate 4*b(c) - 3*y(c).
4*c - 2
Let f(t) = -t**2 - 1. Let c(q) = 59*q**3 - 177*q**2 - 177. Give c(k) - 177*f(k).
59*k**3
Let x(y) = -4*y**2 + 4. Suppose -p + 2*j = 2*p - 10, 4*p - j - 10 = 0. Let k(r) = -9*r**2 - r + 9. Let b be 0 - (6 + -3 + (0 - -2)). Give b*x(l) + p*k(l).
2*l**2 - 2*l - 2
Let m(f) = 3*f**3 + 7*f**2 - 2*f + 5. Let i(z) = -2*z**3 - 4*z**2 + z - 3. Calculate -5*i(a) - 3*m(a).
a**3 - a**2 + a
Let h(t) be the first derivative of -t**3/3 - 5*t**2/2 + 7*t - 2. Let j(g) = -8 + 12 - 5 + g. Calculate -h(p) - 6*j(p).
p**2 - p - 1
Let c be ((-10)/6)/(1/(-9)). Let f = -7 + c. Let w(l) be the first derivative of -2*l**2 + 2*l - 2. Let j(o) = -11*o + 5. What is f*w(z) - 3*j(z)?
z + 1
Let q(c) = c**2 + 3*c + 3. Let j be 5/(-15) + 21/9. Let r be 15/(-5) + (j - -3). Let x(m) = m + 1. Determine r*q(l) - 6*x(l).
2*l**2
Let l(z) = z**3 - 1. Let q(k) = -3*k**3 + 2*k + 6. Suppose -15*j = -22*j - 42. Calculate j*l(u) - q(u).
-3*u**3 - 2*u
Let t(y) = -9*y**2 + y + 6. Let q(o) = -26*o**2 + 2*o + 17. Calculate 3*q(x) - 8*t(x).
-6*x**2 - 2*x + 3
Let x(j) = 1. Let b(o) = -o + 1. Suppose -m - 4*t = -2, -m - 2*t = -0*t. Let s = 5 - 3. Suppose 0 = -6*q + 5*q + s. Give m*x(r) + q*b(r).
-2*r
Let p(z) = -4*z**2 + 5*z + 5. Let i(d) = -d**2 + d + 1. Let j be (-24)/(-60)*(-24 + -1) + 0. Let r(f) = f**2 - 7*f + 2. Let o be r(7). Give j*i(l) + o*p(l).
2*l**2
Let w(v) = v - 6. Let f(x) = -2*x + 11. Let k be (1 + -5)/(-4 - -6). Let r be (-17)/(-4) + k/8. Suppose -r*o - 37 + 9 = 0. What is o*w(l) - 4*f(l)?
l - 2
Let m(w) be the second derivative of -3*w**5/20 + 5*w**4/12 - w**3/3 - 5*w**2/2 - 44*w. Let i(r) = -r**2 + 1. Give -5*i(l) - m(l).
3*l**3 + 2*l
Let j(p) = -p. Let t(s) = -4*s + 8. Let o(v) = 5*j(v) - t(v). Let d be o(-7). Let m(c) = 5*c - 1. Let w(i) = -i + 1. What is d*m(g) - 3*w(g)?
-2*g - 2
Let n(y) = 2*y**3 + 7*y + 7. Let v(x) = 19 - 15 + 4*x + 4*x**3 - 3*x**3. Give 4*n(u) - 7*v(u).
u**3
Let a(o) = 17*o - 20. Let i(q) = -9*q + 11. Let t(k) = -3*a(k) - 5*i(k). Let y(z) = -5*z + 5. Calculate -6*t(f) + 7*y(f).
f + 5
Let y(u) be the third derivative of -u**4/24 + u**3/6 + 3*u**2. Let i(l) be the third derivative of -l**4/24 - l**3/6 + l**2. Give i(b) + y(b).
-2*b
Let v(u) = -u**3 + 2*u**2 - u - 5. Let g(h) = h**3 - h**2 + h + 3. Give -5*g(t) - 3*v(t).
-2*t**3 - t**2 - 2*t
Let y(t) = t**3 - 7*t**2 - 9*t + 5. Let u be y(8). Let g(i) = 3*i**2 + 7*i + 3. Let s(n) = 2*n**2 + 4*n + 2. Give u*g(k) + 5*s(k).
k**2 - k + 1
Let m(c) = -7*c**3 + 5*c**2 - 5*c. Let l(s) = 20*s**3 - 14*s**2 + 14*s. Let b be (4/6 - 0)/(10/75). What is b*l(x) + 14*m(x)?
2*x**3
Let p(u) = 3*u + 8. Let s(q) = -q - 3. Let c(z) = -4*p(z) - 11*s(z). Let r(f) = -46 + 0*f + 3*f + 44. What is -6*c(m) - 3*r(m)?
-3*m
Let q(h) = -2*h**2 - 5*h - 15. Let c(n) = -n**2 - 3*n - 7. Calculate 13*c(r) - 6*q(r).
-r**2 - 9*r - 1
Let w(p) = -4*p**2 + 3*p**2 + 3*p**2. Let h(k) be the first derivative of -2*k**3/3 + k**2/2 + 2. What is 2*h(i) + 3*w(i)?
2*i**2 + 2*i
Let h = -6 - -6. Let f(b) = 2*b + b - 2*b + h*b - 4. Let g(s) = 2*s - 9. Determine -14*f(i) + 6*g(i).
-2*i + 2
Let o(a) = a**3 - a**2 + 1. Let y(t) = t**3 - 11*t**2 + 11*t - 12. Let r be y(10). Let u(g) = g**3 + 2*g**2 - 2. What is r*o(d) - u(d)?
-3*d**3
Let u(h) = 37*h**2 - 47*h + 19. Let z(r) = 12*r**2 - 16*r + 6. Let n(x) = 3*u(x) - 8*z(x). Let l(m) = 7*m**2 - 6*m + 4. What is -13*l(g) + 6*n(g)?
-g**2 + 2
Suppose 4*h + 8 = -5*y, -4*h + y + 7 = 39. Suppose -3*o + 3 = -2*o. Let k = o - 6. Let c(u) = -u + 3. Let p(f) = 2*f - 7. What is h*c(x) + k*p(x)?
x
Let a(f) = 220*f + 52. Let u(w) = -13*w - 3. Determine -6*a(o) - 104*u(o).
32*o
Let g(m) = 7*m - 2. Let w(s) = 15*s - 4. Let v(y) = 5*g(y) - 2*w(y). Suppose 3 = 4*o - 21. Let c(p) = p. Give o*c(l) - v(l).
l + 2
Let d(b) = -20*b**3 - 17*b**2 + 17*b - 17. Let s be 1/2 + 70/(-4). Let l(y) = -7*y**3 - 6*y**2 + 6*y - 6. Let j be (-185)/(-30) + 1/(-6). Give j*d(r) + s*l(r).
-r**3
Let t(c) = 24*c**2 - 14*c. Let s(x) = 8*x**2 - 5*x. What is 14*s(y) - 5*t(y)?
-8*y**2
Let c(m) = -115*m**2 + 4*m. Let b(g) = 8164*g**2 - 286*g. Calculate 2*b(t) + 143*c(t).
-117*t**2
Let r(i) = -4*i**2 - i - 1. Let p(g) = 10*g**2 + 2*g + 2. Calculate 5*p(j) + 12*r(j).
2*j**2 - 2*j - 2
Let s(t) = t - 1. Let r(x) = x + 3. Let g be 2/((-56)/76) + (-2)/7. Determine g*s(d) - r(d).
-4*d
Let x(c) = -c**2 + 6*c + 1. Let k(d) = 1 + d - 1. Let h = 0 + 5. Let a be (h - 3)/(0 + 2). Calculate a*x(s) - 6*k(s).
-s**2 + 1
Let n(h) = 2*h**3 + 2*h**2 - 4*h - 2. Let o(m) = m + 1. Calculate -n(f) - 4*o(f).
-2*f**3 - 2*f**2 - 2
Let j(s) = -5*s. Let q(l) = 4*l + 1. What is -5*j(i) - 6*q(i)?
i - 6
Let g(c) = 9 + 5 - 3 + 13*c - 7*c**2. Let a(y) = 10*y**2 - 7*y - 9. Let l(r) = 18*r**2 - 14*r - 17. Let i(o) = -5*a(o) + 3*l(o). What is 6*g(k) + 11*i(k)?
2*k**2 + k
Let g(s) = -12*s**3 - 5*s**2 + 5*s. Let t(x) = -11*x**3 - 4*x**2 + 4*x. Give 4*g(l) - 5*t(l).
7*l**3
Let m(g) = -g - 1. Let v(k) = 1 - 3 - 3 + 6. Let b(s) = s - 2. Let x(j) = -b(j) - 2*v(j). Determine 2*m(z) - 3*x(z).
z - 2
Let z(h) = h**3 + 6*h**2 + 2*h - 6. Let a = -126 - -120. Suppose 0*j - 5 = 5*j. Let t(c) = c**2 + 8 + 2*c**2 - 4*c**2 - 7. Give a*t(g) + j*z(g).
-g**3 - 2*g
Let d(j) = -21*j**3 + 7*j**2 + 7*j - 7. Let v(k) = 7*k**3 - 2*k**2 - 2*k + 2. What is 2*d(u) + 7*v(u)?
7*u**3
Let g(c) = 2*c + 2. Let i(h) = 8*h + 9. Let o = -4 + 2. What is o*i(z) + 9*g(z)?
2*z
Let y = -72 - -76. Let u(j) be the third derivative of j**3/6 - j**2. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
rest to z? (a) 2 (b) m (c) 1
c
Let o = 265 - 252.1. Let a = 15 - o. Let r = 0.1 - a. What is the nearest to 1 in 0.3, 1/2, r?
1/2
Let j be ((-12)/90)/((-8)/(-10)). Which is the nearest to 0? (a) -3 (b) j (c) 1
b
Let r = 3.1 - 3. Let k(v) = -v**2 - 3*v + 4. Let l be k(-3). Which is the closest to r? (a) 3/8 (b) l (c) 0.4
a
Let o = -175 + 175.02. Which is the closest to o? (a) -0.03 (b) -0.2 (c) 1/8
a
Let i = -0.14 + 0.04. Let o = i + -3.9. Let u = -797/1407 + -1/201. Which is the closest to -0.1? (a) -3 (b) o (c) u
c
Let j = 0.46 + -0.06. Let s = -2 + 1. Let n = s - 0. Which is the nearest to 0.1? (a) j (b) -1/2 (c) n
a
Let t = 13/22 + -1/11. Which is the nearest to 0? (a) 1/3 (b) -4 (c) t
a
Let g(x) = x**3 - 7*x**2 - 7*x - 10. Let l be g(8). Suppose 3*a - 3*a = -4*a. What is the closest to a in -4, l, 0.4?
0.4
Let q = 0.15 - 0.55. Which is the nearest to 23? (a) q (b) -1 (c) 0
c
Let m be 2/1 - (-156)/(-91). What is the nearest to m in -0.3, -2/9, 1?
-2/9
Let i = 0.4 + -0.3. Let s = 5.2 + -9. Let g = s + 4. Which is the closest to i? (a) g (b) -5 (c) 1
a
Let b = -4.2 - 0.8. What is the closest to -4 in -0.5, -4, b?
-4
Let s = -3642/13 - -280. Let r = 2 - 7. Let v = 0.06 + -1.06. What is the nearest to v in -2, r, s?
s
Let n be (1 - 2)/(2/(-6)). Let b = 17.451 + 0.049. Let u = 18 - b. What is the nearest to -2/3 in n, 1, u?
u
Let y = -1 - 0. Let c be (14/10)/(6/375). Let x = c - 86. What is the nearest to y in 2, 3, x?
x
Let t = 0.76 + -0.74. Which is the closest to -0.2? (a) -0.3 (b) -1 (c) t
a
Let o = -12 + 13. What is the nearest to o in -4/7, -3/4, 1/5?
1/5
Let v = 0.093 + -0.163. Which is the closest to 0? (a) 1 (b) -4 (c) v
c
Let i = -2.5 + -0.5. Let y = -10.5 + 10.9. Which is the closest to 2/5? (a) i (b) y (c) 2
b
Let g be ((-7)/(-56))/(3/8). What is the nearest to 2 in g, -3/7, -1?
g
Let y = -0.013 - 3.987. What is the closest to 0 in 1, 0.2, y?
0.2
Let c = 37 + -36.93. What is the nearest to 1/5 in -3, c, 0?
c
Let z = 0.77 - -5.33. Let b = z - 6. Let u be 28/6 - 2/3. What is the nearest to -3 in b, u, -5?
-5
Let g = -5 - -4.6. Suppose 5*u - 7 - 13 = 0. Which is the closest to 0? (a) g (b) -0.5 (c) u
a
Let m = 0.06 + -0.36. What is the closest to -1/4 in 3, m, -4?
m
Suppose -8 = -4*l - 32. What is the nearest to 1 in l, -0.2, -3?
-0.2
Let t = -12 + 11.8. Which is the nearest to 1? (a) 0 (b) -2 (c) t
a
Let p be 2 - 3/((-4)/(-4)). Let s = -0.2 - -0.4. Which is the nearest to -2/3? (a) 2/3 (b) p (c) s
b
Suppose -5*a - 2 = -3*a. Let d = 4.5 + -4.1. What is the nearest to a in d, -2/19, 1?
-2/19
Let k = -9 + 12. What is the nearest to -2 in 20/3, 4, k?
k
Let g be (-4)/5*25/(-1930). Let z = g + -396/965. Let b = 233/3 - 77. What is the nearest to 2/5 in -2/3, b, z?
b
Let j = -934/9 - -104. What is the closest to j in 2, 0.4, -0.1?
0.4
Let m = -8 + 8.1. Let n = 4.7 + -4. Let p = n - 1. What is the nearest to -1 in m, 5, p?
p
Let q = 2 + -1. Which is the nearest to q? (a) 0.3 (b) 0 (c) -4
a
Let t be (3 + -1)*90/36. What is the nearest to -1 in 7, t, 4?
4
Let m = 0.003 - 0.103. What is the closest to m in -1/9, -5, 2?
-1/9
Suppose 15 = t - 4*s, -3*t + 7*t - 2*s = 32. What is the nearest to -0.1 in 4, t, -0.1?
-0.1
Let t = -2.7 + -1.3. What is the nearest to 0 in t, -5, -2/21?
-2/21
Let b = -2 + 1.6. Let i = -738/5 - -148. What is the nearest to i in b, 2, 3?
b
Let k = -11 + 13. Let y be (20/95)/(0 - -2). What is the nearest to -0.1 in k, -0.1, y?
-0.1
Let j = -5 + 7. Suppose 7*v = j*v + 20. Suppose 3*k + 16 = v. Which is the closest to -1? (a) -1 (b) -1/6 (c) k
a
Let x be (-1)/((-4 + 1)/(-3)). Which is the nearest to x? (a) -8 (b) 0.4 (c) -5
b
Let z = -8 + 16. Let w = 7.7 - z. What is the closest to 1 in 2/9, w, -2?
2/9
Let a = 841/10 - 84. Suppose -24*r - 13*r = -13*r. What is the closest to r in 2/3, -1/4, a?
a
Suppose 5*d + 2 = 7. Let k be (d*-3)/(9/2). Which is the closest to -2/3? (a) 2/9 (b) k (c) 1/3
b
Let u = -38 - -340/9. What is the nearest to 2 in u, -1, -3/5?
u
Let s = -13.85 + 14. Let o = 0.05 - s. Which is the closest to -2? (a) o (b) -2/7 (c) -0.2
b
Let t be 1 + (-1 - 1) - 6/(-10). What is the closest to -1/3 in -2/7, -0.1, t?
-2/7
Let y = 7/3 + -29/15. Let g = 0.9 - 1.1. What is the nearest to y in g, -3/7, -1?
g
Let h = -13 - 9. Let s be 18/(-12) - h/20. Let c = 1.3 - -0.7. What is the nearest to 0 in 1, s, c?
s
Let j = 0 - 0.5. Let n = j - -1. Let r be -4*(2 - (-39)/(-21)). What is the closest to 0 in n, 0.3, r?
0.3
Let n(c) = -16*c - 1. Let z be n(-9). Suppose 8 = 4*s + 3*r - 2, -3*r + 6 = 0. Let i be z/(-33) - (-3)/s. What is the closest to -0.1 in -0.2, i, -0.3?
-0.2
Let h = -3/47 - -68/329. What is the nearest to -1/4 in -3, -2/9, h?
-2/9
Let i = 21 + -20.7. Let g = 7 + -11. What is the nearest to 2 in -2, g, i?
i
Let g = 2.95 - 0.05. Let l = g + 2.1. Let s = 1 - 3. Which is the nearest to s? (a) -1 (b) l (c) -1/5
a
Let j = -1 + 2. Let n = -1.0207 - -0.0207. Which is the nearest to j? (a) 0.4 (b) n (c) -2
a
Let y = -2 - -1.9. Let g = -75 - -75.1. Suppose -5*o - 28 = -2*z, 3*o = z - 9 - 7. Which is the nearest to -1? (a) g (b) y (c) o
b
Let u = -14244/5 - -2858. Let h = u - 9. Which is the closest to -1/3? (a) h (b) -1/3 (c) -0.1
b
Let h be (-4)/(-30)*(12 - 7). What is the closest to 0 in 0.1, 2/5, h?
0.1
Let y = -46 + 140/3. Suppose -2*d = -5*h + 1, 0*d = h - 2*d - 5. Which is the closest to 0? (a) h (b) y (c) -5
b
Let v = 34.8 + -35. What is the closest to -0.3 in 3/7, v, 1/6?
v
Let j be 20/6*(-3)/(-45). Which is the nearest to -2/11? (a) j (b) -1/3 (c) -4
b
Let z = -0.8 - -0.8. Let w be (45/(-21) - -2)*2. Which is the nearest to z? (a) -1 (b) 4 (c) w
c
Let y = 12.2 + -12. Which is the closest to 2/3? (a) y (b) 5 (c) 0.5
c
Let y = 0.42 - 0.02. Which is the nearest to 0.1? (a) 2 (b) y (c) -0.08
c
Let r = 0.05 - 0.03. What is the nearest to r in 1, 0.3, 5?
0.3
Let m = -76 - -301/4. Let k = 0.09 + -6.09. What is the nearest to k in m, -2/5, -4/3?
-4/3
Let r = 3/37 - -65/111. Let m(p) = -p**2 - 3*p + 2. Let c be m(-4). What is the nearest to r in -0.3, c, -5?
-0.3
Let x = 3.2 - -0.8. What is the nearest to -0.2 in -5, x, 0?
0
Let m be ((-3)/(-2))/(39/(-104))*1. What is the closest to 2/11 in -2, m, -3?
-2
Let p = -0.12 + -3.88. Let w = p + 9. Which is the closest to -2? (a) 2/3 (b) w (c) 1
a
Let t = 0.103 - 0.603. Which is the closest to -6? (a) 4 (b) -2/11 (c) t
c
Let i = 0.28 + 0.02. Let q = i - -0.7. Let r be ((-8)/(-12))/((-2)/9). Which is the closest to q? (a) r (b) 1 (c) 4
b
Let s = -9 + 9. Suppose s = -g - g - y + 9, -5*y + 23 = -g. What is the nearest to 0 in 0.1, g, 1?
0.1
Let k = -0.453 - -0.053. Which is the nearest to 1/2? (a) k (b) 0.5 (c) 1/3
b
Let q = 0.9 + -1.9. Let x = -6 - q. Let l = -6.3 + 6. What is the closest to -2/9 in l, x, 3?
l
Let c = -5.31 + 5.11. Let m be -5*(-2)/4*-2. What is the closest to 1 in c, 1/3, m?
1/3
Suppose d + 5 = 4. Which is the closest to 5? (a) -2/3 (b) d (c) 0.4
c
Let t be (-2)/(-2)*(9 - 11). Let z be (-3*(-2)/1)/t. Which is the nearest to 1/2? (a) 0.1 (b) -2 (c) z
a
Let r(g) = g**3 + 3*g**2 - 3*g + 3. Let j be r(-4). Let h be 0 + (1 - 3) - j. Let p be (-2)/12 - 2/6. What is the closest to 0 in -4, h, p?
p
Let b = 4.4 + -4. Let q = -0.04 - 4.96. What is the closest to -0.1 in b, 0.3, q?
0.3
Let s = 2.22 + -0.22. Let r = s + -6. What is the closest to 0.2 in 0, r, -5?
0
Let x = 20.5 - 20. Which is the nearest to -2/7? (a) x (b) 1/3 (c) -0.03
c
Let d = -4/39 - -98/195. Which is the closest to 5/7? (a) 5 (b) 4 (c) d
c
Let j = 2.95 + 0.05. Let l = 4 + -7. Let n = -96 - -482/5. What is the closest to n in 1/5, l, j?
1/5
Let g be 2 + 1*60/(-32). Which is the nearest to -1? (a) g (b) 2 (c) 0
c
Let u = 0.9 + -1.9. Let w = 0.4 - 0.3. What is the closest to w in u, 4/5, 1/5?
1/5
Let h = 25 + -26.5. Let w = h + 1.5. What is the closest to w in -3/2, 1, -1/4?
-1/4
Let y = 62.01 - 62. What is the nearest to 1/4 in y, -4/5, -1?
y
Let l = -15 + 9. Let p(f) = f**2 + 6*f. Let s be p(l). Let u = 0.3 - -0.1. What is the closest to s in 0.1, -5, u?
0.1
Suppose -3*z = y + 1, -5*z + 7*y - 4*y - 25 = 0. Let g = -7 - -21. Suppose -j + g = 17. Which is the closest to -1/2? (a) 5 (b) j (c
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{
"pile_set_name": "DM Mathematics"
}
|
asing order.
5, y, -2
Let p = -0.1 - -0.2. Let y = 0 + p. Let q = 5 + -2. Put q, 1/3, y in ascending order.
y, 1/3, q
Let i = -7.03 - -0.03. Let x = i + 7.1. Sort x, 3/8, -2 in increasing order.
-2, x, 3/8
Let o = 18/25 - 16/25. Put 1, 4, o, -0.5 in decreasing order.
4, 1, o, -0.5
Let x(j) = -j**2 - 4*j + 8. Let z be x(-6). Suppose -r = 1 + 1. Put -3, r, z in descending order.
r, -3, z
Suppose 2*z - 6*z + 8 = 0. Sort 1, z, 3.
1, z, 3
Let w = -2.949 - 0.051. Sort -0.2, -1.6, w in descending order.
-0.2, -1.6, w
Let h = -1 - 13. Let q = -14.4 - h. Suppose 2*j + 3*j - 20 = 0. Put j, 0.5, q in ascending order.
q, 0.5, j
Let b(m) = -m - 4. Let u be b(-6). Let r = u + -2. Sort -3, r, 1 in descending order.
1, r, -3
Suppose -27 + 7 = -4*h. Let l = 5 - h. Let m = -2 + 1. Sort -4, l, m in ascending order.
-4, m, l
Let o = -82 - -71. Put o, 4, -3, -4 in ascending order.
o, -4, -3, 4
Suppose 7*u + 20 = 3*u. Let o(j) = -j**2 - 4*j + 1. Let l be o(-3). Sort u, 1, l in decreasing order.
l, 1, u
Let p be 1 - 0 - (-3 - -4). Suppose p*r - 4 = r. Sort r, 1, -3.
r, -3, 1
Suppose 0 = -4*c - w - 4*w, -6 = 2*c + 4*w. Let a be (2/4 + 0)*0. Sort c, -3, a in descending order.
c, a, -3
Let y = 4.8 + -1.6. Let d = -2.8 + 3. Let p = d - y. Sort -0.5, -1/3, p in descending order.
-1/3, -0.5, p
Suppose 7*v - 3*v = 4. Let y be ((-1)/(-2))/(v/8). Let s be (-18)/63 - y/35. Sort -4, -1, s in ascending order.
-4, -1, s
Let o be 1 - (2 - 4) - 4. Let n = 0 - o. Let s = -6 + n. Put -1, s, 5 in ascending order.
s, -1, 5
Let z = 2 - 3. Let a be (12/(-8))/(z/(-2)). Let b = -12 + 10. Put b, a, 1 in increasing order.
a, b, 1
Let j = -52 - -48. Let t = -2 - -3. Put -6, j, t in increasing order.
-6, j, t
Let t = -0.05 + -0.03. Let v = t - 2.92. Let y = -2 - v. Put 0, 4/3, y in increasing order.
0, y, 4/3
Let a = 8 - 8.3. Let d = 4962/17 - 292. Sort d, a, 4 in decreasing order.
4, d, a
Let b = -109 + 117.1. Let a = b - 8. Sort a, 0.5, 4/7 in ascending order.
a, 0.5, 4/7
Let y = -22 + 27. Let l = -9 + 5. Sort -5, l, y in descending order.
y, l, -5
Let h = 26 + -25. Sort 5, 3, h.
h, 3, 5
Let u be -1*(1 - 0) - (-34)/26. Put -0.3, -0.5, u, -1 in decreasing order.
u, -0.3, -0.5, -1
Let l = 0.705 + -0.075. Let y = l + -0.13. Sort -0.1, y, 0.1 in descending order.
y, 0.1, -0.1
Let x = 84 - 926/11. Let b(o) = 2*o**3 + 16*o**2 + 14*o + 3. Let i be b(-7). Sort x, 6, i in increasing order.
x, i, 6
Let t(u) = u**2 - 4*u - 8. Let b be t(6). Suppose -k = -4*g + 8, 0*k - 2*k + 2*g = b. Put -1, k, 5 in increasing order.
-1, k, 5
Let y be 3*2*(-2)/12. Let z be -8 - (y - -4)*-1. Put 1, z, 2 in increasing order.
z, 1, 2
Let f be -5 - 8*(-1)/2. Sort f, 0, -17, 3 in ascending order.
-17, f, 0, 3
Let j be 6/(-9) - (-16)/(-12). Let f = 7 + j. Sort 2, f, 1 in descending order.
f, 2, 1
Let f = -27 + 26. Put -2, -3, f in decreasing order.
f, -2, -3
Let u(f) be the third derivative of 3*f**2 + 0*f - 1/60*f**5 - 1/3*f**4 + 0 - 7/6*f**3. Let d be u(-7). Put 4, d, 2 in decreasing order.
4, 2, d
Suppose -16 = -10*p + 8*p. Suppose -3*b + 1 = -p. Sort 5, b, 4 in decreasing order.
5, 4, b
Let s = 2.6 - -1.4. Put s, -5, 3/2, -7 in increasing order.
-7, -5, 3/2, s
Suppose x = 0, 60 + 40 = 5*y + 4*x. Put y, -5, 2/9 in ascending order.
-5, 2/9, y
Let j(y) = y**2 + 13*y + 5. Let r be j(-13). Sort -12, r, 1, 3 in descending order.
r, 3, 1, -12
Let h(a) = a**2 - 15*a + 15. Suppose -y = 3*w - 40, 2*w - y = -3*y + 24. Let v be h(w). Sort 4, -3, v in ascending order.
-3, v, 4
Suppose 3 = -5*d + 18. Sort d, 5, -1.
-1, d, 5
Let q(u) = u**3 - 2. Let s be q(0). Let x = 51 - 55. Sort x, s, -3 in decreasing order.
s, -3, x
Let p(g) = 3*g - 13. Let d be p(6). Put -4, d, 3, -42 in decreasing order.
d, 3, -4, -42
Let h be 0 + 0 + (1 - (-1 - -2)). Let w = -6 + 17. Sort -3, w, h in descending order.
w, h, -3
Suppose 23 = 4*f - s, 3*f + 5*s - 13 - 10 = 0. Let q(j) be the first derivative of -j**2/2 + 8*j + 11. Let h be q(f). Put 5, -4, h in decreasing order.
5, h, -4
Let c = -0.24 - -1.24. Let m = -0.7 + 0.2. Sort -4/5, m, c in descending order.
c, m, -4/5
Let r = -40 + 39. Sort -1/4, r, 2 in ascending order.
r, -1/4, 2
Suppose -3*n = -177 + 21. Suppose n = 5*k - d, d - 18 = -k + 5*d. Suppose 4*l - k = -l. Put 3, l, 0 in increasing order.
0, l, 3
Let q = 2.1 + -5.1. Sort -4, -0.4, q in increasing order.
-4, q, -0.4
Let a be (-46)/4 + -1 - (-11)/22. Let t = 0.04 + -0.24. Put a, -2, t in decreasing order.
t, -2, a
Suppose o - 5*t = 2 + 4, -5*o - 30 = 5*t. Sort -3, -5, o, -10.
-10, -5, o, -3
Suppose -3*i - 4 = -4*s, -4*i + 11 = -s - 1. Let j(b) = 10*b - 20. Let p be j(2). Sort p, -4, i in decreasing order.
i, p, -4
Let c = -6 + 11. Let d = -1 - 5. Let j = d + 3. Sort c, j, -0.3 in descending order.
c, -0.3, j
Let s = -1557/7 - -223. Put s, -1/4, -0.3, -1/5 in ascending order.
-0.3, -1/4, -1/5, s
Let d(m) = m**2 + 5*m - 1. Let x(r) = r**3 + 3*r**2 - 2*r + 3. Let a be x(-4). Let l be d(a). Sort -2, 5, l in descending order.
5, l, -2
Suppose 61*f = 63*f - 2. Suppose -2*h - 3 = -1. Sort f, h, 4.
h, f, 4
Let l = 54 - 53.5. Sort l, -7, -0.3 in increasing order.
-7, -0.3, l
Let h(s) = s**3 - 7*s**2 + 6*s - 2. Let c be h(6). Let q(g) = g**2 - 12*g + 3. Let m be q(12). Put c, m, 0 in ascending order.
c, 0, m
Let a = -0.37 - -2.27. Let s = 1.9 - a. Sort 2/11, -4, s in ascending order.
-4, s, 2/11
Let r = 1162130 - 87151369/75. Let q = r - 335/3. Sort 4, -1/6, q in increasing order.
-1/6, q, 4
Let b = 28 - 25. Let i = 0.2 + -0.3. Sort 1/2, i, b.
i, 1/2, b
Let n = -8 + 7. Let o be (n - 0)/(-9 - -5). Let l = -718/885 - -2/177. Sort l, o, 2 in increasing order.
l, o, 2
Let x = -2398/7 - -342. Sort 4, -0.4, x in decreasing order.
4, -0.4, x
Let b be (-4)/3*126/(-28). Sort 5, b, 1/4 in descending order.
b, 5, 1/4
Suppose 12 = 4*q + 2*m - 24, m = 2. Suppose 6 = 3*k - 3. Suppose -k*j = q + 1. Put -4, -2, j in decreasing order.
-2, j, -4
Let t = -53 - -58. Sort -3, t, -30/13.
-3, -30/13, t
Let b = -41/74 + 2/37. Sort -5, b, 0.
-5, b, 0
Let v be -1 - (-21)/(-2 - -1). Let a = -16 - v. Suppose a*w - w = 10. Put 5, w, 4 in decreasing order.
5, 4, w
Let p = -9 + 12. Let g = 7 - 5. Put -2, p, g in ascending order.
-2, g, p
Let q = 630 + -633.07. Let w = q - -0.07. Sort -0.5, w, 0.3 in ascending order.
w, -0.5, 0.3
Suppose -3*q = -15, -5 = c + 4*c + q. Suppose 5*u - 6 = -2*i, 0 = -u + 3*i + i - 12. Put 9, c, u in descending order.
9, u, c
Let i(l) = -l**3 - 8*l**2 + l + 8. Let h be i(-8). Suppose 5*a - 8*a + 42 = h. Sort 5, -3, a in descending order.
a, 5, -3
Suppose 0*c + n = 2*c - 3, -4*n + 12 = 0. Let s = 5 - c. Sort 4, -3, s in increasing order.
-3, s, 4
Let n = -71 + 211/3. Sort 5, 0, 1/7, n.
n, 0, 1/7, 5
Let g be 24/(-35) - 4/(-10). Let c = 7.56 + 1.04. Let q = 9 - c. Put g, -1/2, q in increasing order.
-1/2, g, q
Let m = 0.12 - 6.12. Let x = m - -6.2. Let d = -3.2 + x. Put d, -2, -0.5 in increasing order.
d, -2, -0.5
Let g be (2 + -1)*0/4. Suppose -2*m - 6 = -g*m. Suppose -12 = -4*o - 0*o. Sort m, o, 0 in descending order.
o, 0, m
Suppose 6 = 3*c, n - 2*n = 5*c - 5. Put 2, -0.5, 4, n in decreasing order.
4, 2, -0.5, n
Let f = 0.1 - -8.9. Let u = f + -14. Put 2/5, -4, u in decreasing order.
2/5, -4, u
Suppose -4*o = -5*g - 25, -5*g + 2*o = -o + 25. Put 5, 2, g, 0 in descending order.
5, 2, 0, g
Let h = -40 - -50. Put h, 4, 0 in ascending order.
0, 4, h
Let u = -6 + 10. Let k(f) = f**3 - 5*f**2 + 4*f - 1. Let a be k(u). Sort a, -4, 4.
-4, a, 4
Let t = -6/5 + 7/10. Sort 0.5, -7, t in increasing order.
-7, t, 0.5
Let o(q) = q. Let t be o(2). Suppose -5*z = -2*z + 9. Sort z, t, 3.
z, t, 3
Let t be -2*2*(-3)/12. Let g = 0 + t. Suppose 11 = -2*k - 0*k + 5*q, 2*k + q - 7 = 0. Put k, g, -1 in increasing order.
-1, g, k
Let l = -0.2 + 0.1. Let p = -0.1 - l. Let j = p + 2. Sort 5, -0.2, j in increasing order.
-0.2, j, 5
Suppose 0*m = m + 5, -5*y = -m + 10. Sort 6, y, 0.
y, 0, 6
Let l = 24 + -21. Put 2, -4, l in decreasing order.
l, 2, -4
Let f = -0.05 + -0.03. Let o = 0.22 - f. Let x = -3 - -2. Sort -0.2, x, o.
x, -0.2, o
Let b be 5/(-18) - 1/(-2). Let m be -22 - -24 - (0 - 12/(-5)). Put m, b, -4 in increasing order.
-4, m, b
Let f = -8 - -3. Let d(q) = q**2 - 4*q - 1. Let c be d(5). Suppose n + 12 - 4 = -c*w, -2*w = 3*n + 14. Put -4, f, w in increasing order.
f, -4, w
L
|
{
"pile_set_name": "DM Mathematics"
}
|
338 - 2/13?
5
Calculate (-154 + 155)/((-2)/8).
-4
What is the value of 0 - (-1)/(-9)*-2?
2/9
Evaluate 5/(-45)*-34 + -4.
-2/9
What is 2 - (62/10 + -4)?
-1/5
Calculate (2/1)/(7/(-14)).
-4
Evaluate ((-4)/(-5))/((-56)/(-35) - 2).
-2
Evaluate -5*-2*(-5)/(-225).
2/9
Calculate 75/10*(5/(-3) - -1).
-5
(-10 - -4)*(-2)/(-4)
-3
2/10 - (-1)/(-15)*3
0
Calculate (-2)/18 - 728/252.
-3
Evaluate ((-133)/539 - 2/11)*1.
-3/7
4/(-76) + 42/(-285)
-1/5
Evaluate 7 - 8 - 7/(-9).
-2/9
Evaluate (6/7)/(-4 + (-145)/(-35)).
6
What is (-650)/(-500) - (-1)/(-2)?
4/5
Evaluate 114/(-108)*3 + (-10)/(-60).
-3
Evaluate (-3)/6*4*-2.
4
(-6)/3 + (-1)/(2/(-12))
4
Evaluate ((-24)/44 + 0)/((-60)/20).
2/11
Calculate 24/(-378) + (-10)/45 + 0.
-2/7
Evaluate -18*(-1)/(-2 - -5).
6
(-297)/(-63) + 2/7
5
What is the value of 0 + ((-69)/161)/((-2)/14)?
3
((-14)/385)/((-1)/(-5))
-2/11
What is (-5)/((-1)/((-1)/1)*-1)?
5
Evaluate ((-20)/30)/(-1 + -2).
2/9
Calculate ((-21)/84)/1 - (-42)/8.
5
Evaluate (-18)/(-144)*(0 + -1*2).
-1/4
Evaluate (-1)/((6/(-4))/3).
2
Calculate -1 + (-12)/(-8) - 18/20.
-2/5
(-3)/5 - (-28)/5
5
What is (-460)/65 + (-13)/(-2197)*13?
-7
Calculate ((-14)/(-4) + -4)*2.
-1
Calculate 15 + -13 - (1 - -4).
-3
What is the value of 3/(-9) + (1 - (-40)/(-105))?
2/7
What is 315/(-36) + 5 + 3?
-3/4
Evaluate 416/(-1240) - 10/155.
-2/5
What is 16/(-78)*42/56?
-2/13
What is the value of (-16)/(-12)*(-15)/5?
-4
3 + (-36)/(-9) + -2
5
Calculate (-6)/(-8)*(-1020)/459.
-5/3
What is the value of (0 + (-12)/(-8))*2?
3
Calculate -1*2 + 19/(228/27).
1/4
Calculate 16/(-46)*(12/16)/(-3).
2/23
What is 245*(-10)/(-300) - (-5)/6?
9
425/(-1309) + (-4)/(-22)
-1/7
What is the value of ((-4)/(-10))/(-3*8/(-30))?
1/2
Calculate (-38)/(-40) - 240/200.
-1/4
Calculate 3/(-6)*((-48)/(-39))/(-4).
2/13
((6/4)/1)/(252/(-1344))
-8
(-3)/(-4) - (-304)/(-320)
-1/5
What is the value of (-49)/63 + 8/72?
-2/3
Calculate 2/5 - 1598/1645.
-4/7
Calculate 120/(-55) + (-10)/(-55).
-2
Calculate 1/(-1 - (5/(-2) + 1)).
2
Calculate (0 - 0)/((-34 + 8)/(-13)).
0
What is -6 + 1/(3 - 2/1)?
-5
What is the value of 10*(-12)/(-45)*(-3)/(-14)?
4/7
What is the value of (3/(-12)*2)/(7 - 3)?
-1/8
Calculate 0 + (-56)/(-10) - (30 - 24).
-2/5
(24/10)/((-748)/(-55) + -14)
-6
What is the value of (56/16 + -4)*-16?
8
(-1*2)/((-72)/54)
3/2
What is (-4)/(-3) + ((-56)/24 - -2)?
1
((3/(-2))/3)/((-24)/(-32))
-2/3
(2 - 1) + 3/(-1)*-1
4
What is the value of 4 - (-2 - 54*5/(-40))?
-3/4
Evaluate (3/(27/(-6)))/((-4)/6).
1
What is (-203)/174 + 2/3?
-1/2
Evaluate 32/(-10) - 172/215.
-4
Calculate (45/(-48))/(36/48).
-5/4
What is the value of (-1)/((-26)/182*(-14)/22)?
-11
What is the value of (-6)/(-27) + -129*1/(-27)?
5
What is the value of (-2 - -7)/(130/104)?
4
What is the value of (1647/244)/((-9)/(-12))?
9
Calculate (-7)/(5 - -2) + 9/11.
-2/11
Calculate (-55)/(-360) + (1 - 21/27).
3/8
What is (-78)/(-351) + (-2)/9 + -1?
-1
What is (12/9)/(15 - 1233/81)?
-6
What is -8 - (4 + (-136)/12)?
-2/3
(-38)/(-8) + (3/12 - 0)
5
((-385)/28 - -13)/(2/12)
-9/2
What is the value of ((5 + -6)*3)/((-81)/(-6))?
-2/9
Calculate ((-2)/(-8))/(63/72).
2/7
What is 1/3 + (-40)/(-60)?
1
What is the value of 4/18 - 1888/3717?
-2/7
Evaluate ((-2)/(-5) + -1)/((-17)/(-85)).
-3
0 - (-48)/(-20 + 12)
-6
Calculate (-8)/(-9) - (-18)/(-81).
2/3
Calculate (-7 + 4)/(-18 - 3).
1/7
What is (-10)/4*(-108)/135?
2
Calculate -1 + -5 - (-8 - -4).
-2
What is (-13)/5 + (-42)/105?
-3
What is the value of (4/(-66)*-6)/(-9 - -7)?
-2/11
Calculate 105/27 + (-14)/(-126).
4
7/14*-4*3
-6
Evaluate (-12)/(-10)*(-4 + 13/3).
2/5
Calculate (-11)/9 + 1/(-1)*-1.
-2/9
What is the value of (-4)/1*18/(-12)*-1?
-6
Evaluate (7*(-4)/(-56))/(1/(-10)).
-5
What is (-1135)/125 + 4/50?
-9
What is (-7)/9 - 10/(-90)?
-2/3
(-126)/(9/3)*(-59)/354
7
What is (3 - 76/66) + 38/(-209)?
5/3
(-3)/((-9)/(-10))*60/40
-5
Evaluate (8 - 9) + 48/6 + 1.
8
Evaluate (-8)/((-18)/(-9)) + (-1)/(-1).
-3
448/(-128) + 2*1
-3/2
What is 2/((-175)/70*4/15)?
-3
What is the value of ((-6)/(-4))/(12/(-2))*4?
-1
Calculate (-12)/((-14)/6*6).
6/7
Evaluate (-450)/462 + -4 + 155/35.
-6/11
15*((-14)/(-6) - 2)
5
Evaluate 111/(-74) + 22/4.
4
Evaluate (((-18)/(-20))/9*-2)/1.
-1/5
What is -3 - (14/2 - 0)/(-4)?
-5/4
Calculate (-5)/6 - (-4)/(-24).
-1
Calculate 11 + (-1 - (-1 - -6)) + -3.
2
Evaluate 1/(10/18)*370/111.
6
What is 2/(8/(-6)) - (-36)/(-24)?
-3
What is -4 - (-18)/(-16)*-4?
1/2
Evaluate 0 - ((-2)/(-6))/(3/72).
-8
Calculate (9/(-102))/(3/(-4)).
2/17
What is 5/(-2) - 7/(-14)?
-2
What is the value of (1/(-1) + 2)*(-120)/(-90)?
4/3
What is the value of (7 + 3)*6*(-7)/84?
-5
(-2)/3*(2 + 10)
-8
Evaluate -3*(1 - (-2)/3).
-5
Calculate 8 - 1 - (10 - -3 - 8).
2
Evaluate (2/16 - 0)/((-5)/10).
-1/4
What is ((-2)/20)/(7/28)?
-2/5
Evaluate (-60)/150*5*1.
-2
Calculate (6/(-8)*24/9)/8.
-1/4
Evaluate 4/(-7)*245/70.
-2
(1/4)/((-260)/(-64) + -4)
4
Evaluate 22*1/6 - (17 - 12).
-4/3
Calculate (-2)/21 - (-558)/1890.
1/5
What is the value of 4/(-2 - (-7 - -6))?
-4
What is the value of 4 - (245/42 + -4)*2?
1/3
Evaluate 4/(-14) - (-13)/(1456/368).
3
Calculate 104/26 + (-4)/3 - 1.
5/3
What is the value of 10 + -2 - 2 - 2?
4
What is (6/4)/(6/10)?
5/2
What is the value of 0 + -5 + (-8)/(-2)?
-1
Calculate (-261)/(-174) + 11/(-2).
-4
What is the value of (-12)/(-5) + -2 + (-3 - -3)?
2/5
What is (3/(-2))/(27/126)?
-7
(-17)/170*(-45)/6
3/4
Evaluate ((-100)/(-180))/((-2)/(-18)).
5
6*78/36 + -7
6
What is the value of 88/(-20) - -4 - (-37)/5?
7
Calculate 14 - (0 + 48)/6.
6
What is the value of 1*(-6)/(30/(-1))?
1/5
11/(-15) + (-48)/(-36)
3/5
Evaluate 26/39*(-3)/(-8).
1/4
Calculate ((-5)/(-20))/(0 + (-1)/(-20)).
5
Evaluate 5/30 - (-21)/(-18).
-1
(2/(-6))/((-5)/15)
1
What is (-30)/(-8) - -4*(-6)/(-96)?
4
What is 4*(-91)/(-56) - 7?
-1/2
((-10)/(-6) - (-17)/(-102))/2
3/4
Calculate -3*((-4)/(-2) + -1).
-3
Evaluate (-8)/(-20)*(9/6)/3.
1/5
What is (-87)/(-24) + -3 + -3 + 2?
-3/8
What is 4/12*2*3?
2
What is the value of ((27/(-12))/3)/((-2)/(-8))?
-3
Evaluate 6/(-21) + (-4)/(-7).
2/7
Evaluate 1*-2*(-27)/(-18)*-1.
3
2 - ((-15)/(-2))/((-7)/(-2))
-1/7
Calculate 10/6 + 4*6/(-12).
-1/3
What is ((-1)/(-9 - (-8 - -2)))/1?
1/3
What is (-1 - -1)/(-6 - -2)?
0
Calculate 7 - ((-8)/2 - -7) - 3.
1
What is the value of 36/(-9) + (-156)/(-40)?
-1/10
Evaluate ((-10)/(-6) - 1)/((-162)/(-1944)).
8
What is ((-15)/(-25))/((-8)/30*-6)?
3/8
What is the value of ((-1)/(-4))/(26/(-104))?
-1
What is the value of 6/5*(-15)/(-24)?
3/4
(2/10)/(21/(-105))*-7
7
(-15)/(-10)*(2 + (-14)/3)
-4
What is the value of ((-1834)/(-393))/(4/(-6))?
-7
Calculate (4/(-5))/((-28)/(-20) - 1).
-2
Calculate 64/10 - (-112)/(-280).
6
Calculate (14 + 0 - 11)/(-1).
-3
Calculate (-6 - -3)/(-6)*(-2)/(-7).
1/7
What is (-51)/(-15) + (-33)/(-55)?
4
Calculate (-150)/462 - 3/((-42)/2).
-2/11
Calculate (-2119)/169 + 15 - 2.
6/13
What is the value of ((8346/90)/(-13))/1 + 7?
-2/15
What is the value of 2/5 - 6/40?
1/4
0 + 4 + (0 - -1)
5
Calculate (-20)/(-6)*(-186)/(-124).
5
Evaluate 5/(4 + (3 - 10) + 4).
5
Evaluate 36/60 - (-46)/(-110).
2/11
What is (-7)/(-15) - 32/48?
-1/5
Calculate (-14)/(-12) - ((-230)/(-60))/23.
1
Calculate -1 + 8 + (-25)/4.
3/4
What is -3*3/54 - 38/(-12)?
3
Evaluate 1*(-4)/(2 - 4).
2
Evaluate ((-16 - -7)/(-3))/3.
1
(-6)/(-14) + (-4)/(-7)
1
2/(-28) - 6138/(-8316)
2/3
1*-4*59/(-59)
4
What is (1 + -9 - 2) + 5/1?
-5
Evaluate -2 + (-44)/(-28) + (-115)/140.
-5/4
(-51)/34*(1 - 2/6)
-1
Evaluate -11 - 4/(44/(-55)).
-6
Calculate (95/15 - 6)*-2.
-2/3
(2 - 1)/(-1*33/6)
-2/11
Evaluate 8/(-28) + 66/35 - 2.
-2/5
Evaluate 3*((-24)/2 - -13).
3
2 + 12/22*(-90)/27
2/11
What is ((-10)/20)/(-2 - 6/(-4))?
1
(-30 - -27) + 1*2 + -4
-5
Calculate (7/(-28))/(1/(-4)).
1
Calculate (-2)/(-11)*((-3263)/(-156) + -20).
1/6
Evaluate (-1)/10*((-14)/(-7) - -2).
-2/5
What is the value of (0 - -4)*(-1)/4?
-1
Calculate 3/8 + (738/(-48) - -9).
-6
What is the value of (8/(-36)*-6)/(-7 - 3)?
-2/15
(2/5)/(441/105)
2/21
Calculate (30/20)/((-2)/(-6))*2.
9
Evaluate (-60)/(-33) - 1 - 1.
-2/11
Evaluate ((-36)/150)/((-15)/(-100)) - -2.
2/5
Calculate 2/((-28)/10)*(-10)/(-25).
-2/7
Evaluate ((-15)/(-6))/(11/22).
5
Calculate (-56)/(-10) + (-27)/45 - 1.
4
-14*(-11 - -5)/12
7
What is the value of 0 - (3/(-15))/(6/(-10))?
-1/3
Calculate 1*60/(-16) - -3.
-3/4
(-6)/(-15)*(-1)/2
-1/5
Calculate (6/(
|
{
"pile_set_name": "DM Mathematics"
}
|
- 52269, -359*o = -362*o + 3*c + 52275. What is the tens digit of o?
1
Let v(o) = -69*o**3 - 5*o**2 + 14*o + 47. What is the units digit of v(-3)?
3
Let j(n) be the third derivative of -1/120*n**6 + 30*n**2 + 0 + 0*n - 13/60*n**5 + 13/3*n**3 + 7/12*n**4. What is the tens digit of j(-14)?
2
Let u be -544*(-3 + (-1 - -5)). Let r = 666 - u. What is the tens digit of r?
1
Suppose -5*v - 4*j = -164623, -1307 = v + 2*j - 34228. What is the tens digit of 1/2 - v/(-38)?
6
Suppose 1447222 = 76*o + 5*o - 147911. What is the hundreds digit of o?
6
Let l be 4/((5 + 3 + -4)/6). Suppose -q + l*q = 2*x + 27, q = 5*x + 10. Suppose -5*a = 3*s - 317, q = 5*a - 15. What is the tens digit of s?
9
Suppose 0 = -2*q + q + 2. Suppose 0 = -3*x + 9*i - 7*i + 179, -q*i - 8 = 0. What is the tens digit of x?
5
Suppose -2*u + 8*s = -110488, 4*u = -185*s + 189*s + 220988. What is the ten thousands digit of u?
5
Let w(v) = -v**2 - 22*v - 45. Let t be w(-19). Let n be 8/t*(1 - (-1892)/(-8)). Let x = -20 - n. What is the tens digit of x?
3
Let a(s) = 7*s**3 - 3*s**2 + 33*s - 23. Let k(p) = -23*p**3 + 8*p**2 - 100*p + 68. Let d(q) = 7*a(q) + 2*k(q). What is the tens digit of d(6)?
2
What is the tens digit of (-192)/528 - 34042/(-22)?
4
Let q(x) be the third derivative of -x**7/1008 + 7*x**6/48 + x**5/4 + 10*x**2. Let v(s) be the third derivative of q(s). What is the units digit of v(0)?
5
Let r be (-25 + 26)/((-1)/(-67)). Suppose 10*p - r = 303. Let w = p + 131. What is the units digit of w?
8
Let g = -5982 + 25815. What is the thousands digit of g?
9
Let i be (-3 + 14/4)*-6 + 74. Suppose 64*k + 2625 = i*k. What is the tens digit of k?
7
Suppose 2*t - 3*g - 112080 = -t, -g = -3*t + 112080. What is the units digit of t?
0
Suppose -68*q + 2113346 = 61*q - 46*q. What is the thousands digit of q?
5
Suppose -2*b - 237 = -5*b. Let i(w) = -635*w - 1165. Let h be i(-2). Let s = h - b. What is the units digit of s?
6
Let r = -63 + 66. Suppose -r*x + 5 + 7 = 0. Suppose 4*u - x = 0, 575 = 5*c - u - 459. What is the hundreds digit of c?
2
Let g = -12 + 31. Suppose g*i - 24*i = 0. Suppose i = k + 4*r - 103, -84 = -2*k - 3*r + 112. What is the tens digit of k?
9
Suppose 10*g = 15*g - 160. Let x(o) = o**2 - 25*o + 97. What is the tens digit of x(g)?
2
Suppose 4*w = -5*q + 46775 + 123780, 4*w = 20. What is the thousands digit of q?
4
Let d(s) = -23*s - 5*s - 14 + 18*s - 2*s**3. What is the hundreds digit of d(-5)?
2
Let c(n) = -2*n + 41. Let m be c(19). Suppose -j + m = -0*x - x, -2*x - 3*j = -9. Suppose 4*i - 8*i + 248 = x. What is the tens digit of i?
6
Let x(w) = -2*w**3 + w**2 - 6*w - 6. Let t be x(-1). What is the hundreds digit of 3/(-2)*(3 + (-653)/t)?
3
Suppose 0 = -z - i + 8, -6*z + 2*z = 2*i - 26. Let h be (8/10)/(2/z). What is the units digit of (h + -2 - (-8 + 7)) + 37?
8
Suppose 59*l + 15016 = 61*l + 2*s, 5*l + 3*s - 37526 = 0. What is the tens digit of l?
0
Suppose 5*k - 84 - 21 = 0. Suppose 0 = -k*x + 17*x + 1796. What is the tens digit of x?
4
Suppose 0 = -a - 37 + 38. Let i be a*(2 + 0)/(-2)*-293. Suppose -i = 6*c - 1841. What is the tens digit of c?
5
Let m = 25 + -10. Suppose 0 = -11*x + m*x - 4. What is the tens digit of (39 + (-3 - -5))/x?
4
Let v(g) = 13*g + 80. Let m be v(-6). Suppose -m*b = -5*o + 1418, 0*b - 282 = -o + 2*b. What is the hundreds digit of o?
2
Suppose -9*j + 113568 = 26133. What is the thousands digit of j?
9
Let h = 9504 + -3561. What is the tens digit of h?
4
Let u be (5 - 1460)*6/18. Let c = -386 - u. What is the tens digit of c?
9
Suppose v - 14 + 12 = 0. Let d be v*(4 + (-10)/4). What is the units digit of 37 - 4/d*3?
3
What is the tens digit of 1878876/72*(70/15)/7?
9
Let u(p) = -23*p + 209. Let j be u(9). What is the thousands digit of (-2)/(7 + -3)*(-3770 - j)?
1
Let y(w) = 14*w + 35. Let o(v) = 0 + 1 - 5*v + 5*v**2 + 3 + v**3 - 2*v. Let k be o(-6). What is the units digit of y(k)?
5
Let s(o) be the second derivative of -7*o**3/3 + 15*o**2 - 27*o. Let u(x) = 14*x - 30. Let g(n) = -5*s(n) - 4*u(n). What is the hundreds digit of g(10)?
1
Let f(y) = 34*y - 62. Let t be (-15*(-6)/60)/((-3)/(-44)). What is the hundreds digit of f(t)?
6
Let w = -7476 + 8217. What is the units digit of w?
1
Let j = 88 - 86. Suppose 4*z = 6 + j. What is the units digit of -4*z/4 + 81 - -3?
2
Let c(d) be the first derivative of d**4/4 + 2*d**3 - 11*d**2 - 9*d + 15. Let n be c(-7). Let t = 266 - n. What is the units digit of t?
0
Suppose 3*y + 268 = -j, -2*j - 5*y - 792 = j. Let r = j + 503. What is the units digit of r?
4
Suppose 16 = 4*z - 2*a, -z = -4*a + 3 - 0. Suppose -2*f + 2532 = 4*i + f, -z*i + f = -3184. What is the units digit of i?
6
Let b(u) = 4*u**2 - 11*u - 7. Let a = -349 - -342. What is the units digit of b(a)?
6
Let z be ((-124)/(-155))/(2/25). Suppose -216 = -2*s + 4*o, 2*o + 524 = -5*s + z*s. What is the units digit of s?
4
Let r = 133 - 65. Let n = r + -63. Suppose -n*s = -315 - 600. What is the tens digit of s?
8
What is the hundreds digit of 2 + 209/(-88) - (-163455)/40?
0
Suppose 0 = -580*m + 607*m - 1138455. What is the units digit of m?
5
Let a(l) = -l**3 - 11*l**2 - l - 6. Let v(c) = c**2 - 12*c. Let r be v(11). Let i be a(r). What is the tens digit of 0 + (-15)/i + 67?
6
Let l(r) be the first derivative of -r**2/2 + 226*r - 225. What is the units digit of l(0)?
6
Suppose -610 = 600*x - 597*x - o, -4*x = 2*o + 800. Let p be ((-2)/(-4))/(1/(-632)). Let l = x - p. What is the units digit of l?
4
Let x(g) = g**2 + 9*g + 11. Let m be x(-7). Let y be (m - 2/(-1))/(-1). Suppose 2*p + p - 15 = -3*j, 3*j = 4*p + y. What is the units digit of p?
2
Let v be 9/18*(-2)/2*2. What is the tens digit of 86*(-2)/(-4)*(0 - v)?
4
Let f = 4 + -2. Let u(g) = g**2 + 6. Let h be u(4). Suppose 2*y = -4*s + h, -3*y - 2 = s - f*s. What is the units digit of s?
5
Suppose -189*i + 840126 + 651990 - 556188 = 0. What is the units digit of i?
2
Let b be (-3)/((-45)/42) - (-2)/10. Suppose -b*g - 2*g = -1920. Let v = g + -272. What is the tens digit of v?
1
What is the tens digit of (-2 + 839)/((-24)/((-11592)/23))?
7
Let d be 2*(3 - 2) - (0 - 45). Suppose -3*t + d + 502 = 0. Suppose -3*w = -3*b + 180 + t, 119 = b - 3*w. What is the hundreds digit of b?
1
Suppose -3*h - 1042 = -4*s - 3226, -4*h + s + 2938 = 0. What is the units digit of h?
6
Let a be -1661*(-3 + 4 + -5). Suppose -22244 + a = -8*b. What is the units digit of b/14 + (-4)/14?
9
Let r(l) = -6*l - 22. Let y be r(-5). Let z(m) = 2*m**3 - 8*m**2 - 10*m + 3. Let h be z(y). Suppose -56*b + 53*b = -h. What is the tens digit of b?
4
Let v be -3 + (2 + 2 - 1). Suppose -7*d + 3*d = v. Suppose d = 7*j - 626 - 1012. What is the hundreds digit of j?
2
Let f(j) = 2*j**2 + 8*j + 4. Let p be f(-3). Let b(w) = 2*w**2 + 11*w + 21. Let t be b(p). Suppose t*v = 8*v - 290. What is the hundreds digit of v?
2
Let r(i) = i**3 - 40*i**2 + 100*i + 287. What is the hundreds digit of r(40)?
2
Suppose -4*z = -3*p + 27, -2*z - 15 = -4*p + p. Let t(n) = n**3 + 2*n**2 - 8*n - 6. Let x be t(z). Let h = -38 - x. What is the units digit of h?
4
Suppose -6*z + 1051 + 251 = 0. What is the hundreds digit of z?
2
Let m = 11 + -12. Let y be (-14)/(0 + m/20). Suppose 2*l = -3*l + 3*o + y, 0 = 2*o. What is the units digit of l?
6
Suppose -2*p + 5*p = 5*b + 385, b + p + 77 = 0. Let q = b + 224. What is the tens digit of q?
4
Suppose -3*b + 973 = 4*f, 5*f + 4*b = 3*b + 1219. Let q = f + 158. What is the hundreds digit of q?
4
Suppose 4*q = -5*a + 293597, -2*q + a + 106149 = -40660. What is the tens digit of q?
0
Suppose 2 = -h + r + 10, -10 = -2*h + 4*r. Let j = 86 + h. What is the units digit of j?
7
Let q be 1*3 + (-6)/6. Suppose q*o = 10*o - 16. What is the tens digit of (-2886)/(-143) + o/(-11)?
2
Let p(z) be the third derivative of 5*z**5/4 + z**4/12 + z**3/6 + 12*z**2 - 2. What is the units digit of p(-1)?
4
Let f(m) = 2*m**3 - 6*m**2 - 2*m + 13. Let v(x) = 3*x**2 + 27*x + 3. Let a be v(-9). Let o be a/4*4*(-4)/(-3). What is the units digit of f(o)?
7
Let u = -2728 + 3983. Suppose k = 2*y - u, 7*k - 2515 = -4*y + 10*k. What is the units digit of y?
5
Suppose 567*r - 59360 = 560*r. What is the tens digit of r?
8
Suppose 0 = -22*r + 25469 + 158341. What is the thousands digit of r?
8
Suppose 5*m - 4*m = -4*t, 3*m - 2*t - 14 = 0. Let r be 30/18*(m +
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 0*c**5 wrt c.
-240*c**2
Let d(f) be the second derivative of 2*f**5/5 + 3*f**2/2 - 16*f. Find the first derivative of d(v) wrt v.
24*v**2
Let n be (-4)/(3/(-2) - -1). Differentiate -w**3 + n*w**3 - w**3 + 1 wrt w.
18*w**2
Let y(m) be the first derivative of m**7/140 + 3*m**5/40 + 2*m**3 - 4. Let a(l) be the third derivative of y(l). Find the second derivative of a(x) wrt x.
36*x
Let n(k) be the second derivative of -k**5/10 + 2*k**3 + 14*k. What is the second derivative of n(p) wrt p?
-12*p
Let r(g) be the third derivative of g**6/120 + 11*g**3/3 - 10*g**2. What is the first derivative of r(v) wrt v?
3*v**2
Find the second derivative of 14*f**4 - 4*f**4 - 3*f**2 + 20*f - 14*f**4 wrt f.
-48*f**2 - 6
Let a(g) be the third derivative of g**7/42 + g**5/20 + 4*g**2. Find the third derivative of a(u) wrt u.
120*u
Find the second derivative of -3*y**5 + 6*y**5 + 6*y - 4*y**5 + 2*y**5 wrt y.
20*y**3
Let k(x) be the first derivative of -3*x**5/10 + x**3/2 - 3*x - 3. Let i(w) be the first derivative of k(w). What is the second derivative of i(g) wrt g?
-36*g
Let h(f) be the first derivative of -3*f**3 - 9*f**2/2 - 8. Find the second derivative of h(u) wrt u.
-18
Find the third derivative of 2*z**3 + 2*z**4 - 5*z**2 + 5*z**3 - 7*z**3 wrt z.
48*z
Let t = 80/3 + -26. Let q(p) be the first derivative of 1 + t*p**3 + 0*p - 2*p**2. Find the second derivative of q(j) wrt j.
4
Let w(z) be the second derivative of -1/2*z**2 + 0*z**3 - 5*z - 1/6*z**6 + 0*z**4 + 0 + 0*z**5. Differentiate w(f) with respect to f.
-20*f**3
Let c be 12/(-8)*(-16)/3. Find the second derivative of -r + 0*r - c*r**2 - 2*r wrt r.
-16
Find the first derivative of 0*s**3 - 20*s**3 + 2*s**3 + 12 wrt s.
-54*s**2
Let t(d) be the third derivative of d**7/840 - d**4/8 - 2*d**3/3 - 3*d**2. Let u(c) be the first derivative of t(c). What is the first derivative of u(z) wrt z?
3*z**2
Let j(x) be the first derivative of -x**3 + 3*x - 2*x - 4*x - 2 + 2*x. What is the first derivative of j(p) wrt p?
-6*p
Let j(i) be the second derivative of -9*i**5/20 + 2*i**3 + 2*i. What is the second derivative of j(k) wrt k?
-54*k
What is the second derivative of -107*k - 17*k**5 + 62*k + 66*k wrt k?
-340*k**3
Let i(m) = 2*m**4 - 3*m**3 - 3*m - 4. Let r(g) = -3*g**4 + 4*g**3 + 4*g + 3. Let t(b) = -4*i(b) - 3*r(b). Differentiate t(f) wrt f.
4*f**3
Let h(f) be the second derivative of f**5/2 + f**4/12 - 8*f**3 + 59*f. What is the second derivative of h(c) wrt c?
60*c + 2
Let d(o) be the second derivative of 11*o**4/12 + 6*o**2 + 2*o. Find the first derivative of d(z) wrt z.
22*z
Let o(m) = -m**2 + 3*m + 2. Let c be o(3). Find the third derivative of 2*k**4 + 2*k**3 + 2*k**2 + 0*k**2 - c*k**3 wrt k.
48*k
Let q(w) = 21*w**4 + 13*w**2 - 34*w. Let i(y) = -10*y**4 - 6*y**2 + 17*y. Let f(a) = -13*i(a) - 6*q(a). Find the second derivative of f(h) wrt h.
48*h**2
Suppose 2*l - 15 = -3*l. What is the third derivative of -l*s**2 + 6*s**6 + 0*s**6 - 3*s**6 wrt s?
360*s**3
Let t(s) = -5*s**3 - 5*s - 4. Let y(d) = -2*d**3 - 3*d - 2. Let v(i) = 3*t(i) - 5*y(i). Differentiate v(x) wrt x.
-15*x**2
Let z(f) be the first derivative of -7*f**4/4 + 17*f**2/2 - 11. What is the second derivative of z(s) wrt s?
-42*s
Let r(t) = -4*t**2 + 3 - 2 + 0 - 3*t + t. Let w(y) = 8*y**2 + 5*y - 1. Let o(u) = 5*r(u) + 2*w(u). What is the derivative of o(k) wrt k?
-8*k
Differentiate -5 - 6 - 3 - 9*b**4 wrt b.
-36*b**3
Let i(m) be the second derivative of 0*m**5 + 2*m + 0*m**4 + 0*m**2 - 2/15*m**6 + 0 - 1/3*m**3. What is the second derivative of i(f) wrt f?
-48*f**2
Let c(s) = 8*s**3 - 6*s**2 - 4*s - 4. Let n(a) = 16*a**3 - 11*a**2 - 9*a - 9. Let v(z) = -9*c(z) + 4*n(z). What is the third derivative of v(l) wrt l?
-48
Find the second derivative of -t**4 + 0*t + 12*t + 6*t wrt t.
-12*t**2
Let y(w) = -37*w + 2. Let j(m) = 110*m - 6. Let n(g) = -5*j(g) - 16*y(g). What is the first derivative of n(x) wrt x?
42
Let y be (2 - 10)*-1 + -3. Find the first derivative of -y*x**3 + 5*x**3 + 2*x**3 - 5*x**3 - 4 wrt x.
-9*x**2
Let p(c) be the first derivative of -3 + 0*c**2 + 0*c + 0*c**5 - 1/6*c**6 + 5/3*c**3 + 0*c**4. Find the third derivative of p(k) wrt k.
-60*k**2
Find the second derivative of s - 33*s**4 + 4 + 3273*s**2 + 1 - 3273*s**2 wrt s.
-396*s**2
Let f(k) be the second derivative of k**5/10 - k**2/2 + 5*k. Differentiate f(z) wrt z.
6*z**2
Let p(m) be the third derivative of m**7/840 + m**4/24 - m**3/3 - 2*m**2. Let o(t) be the first derivative of p(t). What is the first derivative of o(b) wrt b?
3*b**2
What is the third derivative of -17*c**2 + 10*c**6 - 1758*c**3 + 1758*c**3 wrt c?
1200*c**3
Let p(q) = 30*q**4 + 12*q**3 + 4*q**2 - 12*q. Let i(x) = -2*x**4 + x**3 + x**2 - x. Let u(n) = -12*i(n) + p(n). What is the third derivative of u(z) wrt z?
1296*z
Suppose 2*k = -0 + 8. Let x(o) = -4*o**3 + o + 4. Let w(h) = h**5 - 3*h**3 + h + 3. Let z(f) = k*w(f) - 3*x(f). What is the second derivative of z(d) wrt d?
80*d**3
What is the second derivative of 31*v + 5*v**2 - 32*v - 4*v**2 + 2*v**2 wrt v?
6
Suppose -x - 3 = 2, -25 = -5*s + 5*x. Suppose -2*t - 3*t + 15 = s. Find the second derivative of -3*i - t + 3 + 2*i**4 wrt i.
24*i**2
Let n(y) = 3*y**2 - 4*y + 7. Let z(q) = 6 - 4 + 4*q**2 + 6 - 5*q. Let v(a) = -5*n(a) + 4*z(a). Differentiate v(k) with respect to k.
2*k
Let m(i) be the second derivative of i**4/8 + i**3/2 + 2*i**2 - 3*i. Let g(h) be the first derivative of m(h). What is the first derivative of g(l) wrt l?
3
Let u(c) be the second derivative of 3/20*c**5 + 0*c**2 + 0*c**4 + 8*c - 7/6*c**3 + 0. Find the second derivative of u(j) wrt j.
18*j
Find the third derivative of 34*l**2 + 1 - 2 + 23*l**5 - 35*l**2 + 3 wrt l.
1380*l**2
Suppose 4*a = 2*m + 20, -2*a - 3*a - 5*m = -40. Find the second derivative of -34*j**2 - a*j + 34*j**2 - 6*j**4 wrt j.
-72*j**2
Suppose -5*r + 32 = -243. What is the third derivative of r*a + 6*a**6 - 55*a - 3*a**2 wrt a?
720*a**3
Let n(o) be the first derivative of -43*o**6/6 + 4*o**3 - 52. What is the third derivative of n(f) wrt f?
-2580*f**2
Let u(q) be the first derivative of -1/3*q**3 + 0*q**5 + 2/3*q**6 + 0*q**4 + 0*q + 5 + 0*q**2. Find the third derivative of u(f) wrt f.
240*f**2
Let d(g) = 19*g**3 + 14*g. Let m(h) = h**3. Let k(c) = d(c) + 6*m(c). Find the second derivative of k(y) wrt y.
150*y
Let z(d) be the first derivative of d**9/1512 - d**5/40 - d**3/3 - 2. Let s(i) be the third derivative of z(i). What is the second derivative of s(q) wrt q?
40*q**3
Let u(f) = 165*f**2 + 65*f - 175. Let b(s) = 15*s**2 + 6*s - 16. Let r(y) = 65*b(y) - 6*u(y). What is the derivative of r(a) wrt a?
-30*a
Let o(d) be the third derivative of -d**6/120 + d**5/12 + 5*d**4/24 + 4*d**3/3 + 2*d**2. Let s be o(6). Differentiate 0 - s - 2*a**2 + 1 wrt a.
-4*a
Let n = -1 + 4. What is the second derivative of -13*v**2 - n*v + 5*v + 15*v**2 wrt v?
4
Let r(p) be the second derivative of 0*p**2 + 2*p - 5/42*p**7 + 0*p**5 + 0 + 0*p**3 + 1/12*p**4 + 0*p**6. Find the third derivative of r(z) wrt z.
-300*z**2
Let a(o) = 2*o - 2. Let l be a(-3). Let y = -5 - l. Differentiate -y + 3 - 2 + k with respect to k.
1
Let t(r) = r**3 - r**2 - r + 1. Let u(y) = 3*y**3 - 15*y**2 - 2*y - 15. Let w(d) = -2*t(d) + u(d). Differentiate w(g) with respect to g.
3*g**2 - 26*g
What is the derivative of 2*f**3 + 30 + 2*f**3 - 59 wrt f?
12*f**2
Suppose 2*u + 2*q = 19 - 5, 4*q = -3*u + 25. What is the first derivative of 3*r - u*r + 5*r - 2 wrt r?
5
Let j be 4 - (6 - 3/1). Find the first derivative of -3 - j + 2*d**3 + 0*d**3 + 2*d**3 wrt d.
12*d**2
Let x(w) be the first derivative of -1/3*w**3 + 1/2*w**2 - w + 1. Let n(z) = 7*z**2 - 5*z + 4. Let a(q) = -n(q) - 5*x(q). What is the derivative of a(f) wrt f?
-4*f
What is the second derivative of -2*q**5 - 4*q**5 - 13*q - 3*q**5 wrt q?
-180*q**3
What is the third derivative of y**2 + y**4 + 188 - 188 wrt y?
24*y
Let n(l) = l - 5. Let t be n(9). What is the first derivative of -4 - w**3 + 7*w**t - 6 + w**3 wrt w?
28*w**3
Suppose g - 4*o = 5, -5*o - 7 = -2*g - 3. Let r be 15/12 + g/12. Differentiate i**4 - 1 - r + i**4 wrt i.
8*i**3
Let f(y) be the second derivative of -17*y**5/20 + 3*y**4/2 - 5*y. What is the third derivative of f(z) wrt z?
-102
Let d(p) be the second derivative of 0 + 0*p**4 + 11*p - p**2 + 0*p**3 - 1/
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{
"pile_set_name": "DM Mathematics"
}
|
7*h(f) - 6*z(f). Let m be u(-12). Is 54/4 + (-1)/m composite?
True
Suppose i = -4*d - i - 30, -5*d = -i + 55. Let j = -6 - d. Suppose -g + j*q + 453 = 2*g, g - 5*q - 140 = 0. Is g prime?
False
Let f be ((-3)/2)/((-12)/16). Suppose -f = j - 2*j - 2*o, -8 = 3*j - o. Is (-26)/4*(j - 0) a prime number?
True
Let d(x) = -x**3 + 6*x**2 + 2*x - 3. Is d(-4) a prime number?
True
Let p = -225 + 401. Suppose 0*q = -2*y - q + 180, -p = -2*y + q. Is y prime?
True
Let j(t) = -t + 7. Let c be j(5). Suppose c*d = -d - 1104. Let r = 263 - d. Is r a prime number?
True
Suppose -t + 8 + 7 = 2*d, 0 = 4*d - 12. Suppose -4*f = -7*f + t. Is f a prime number?
True
Let r(t) = t**3 + 16*t**2 + 28*t - 19. Is r(-12) composite?
True
Suppose -2*h - 17 = -4*j + 1, 0 = -3*j - h + 1. Suppose 0 = j*n + n - 105. Is n composite?
True
Suppose -4*w - 40 = 2*n, 0*w + 2*w - 12 = n. Let f = n + 47. Is f composite?
False
Let k be (-4)/6 + (-8)/(-12). Suppose k*c + c = 47. Is c a prime number?
True
Let q(r) = r + 3. Let a be q(-5). Let z be (6 - 6)/(2/a). Suppose -4*g + 290 - 62 = z. Is g composite?
True
Let q(v) = 98*v**2 - 2*v + 1. Let w = -3 - -4. Is q(w) prime?
True
Let m be 1612/(-6)*(-2 - 1). Suppose -3*s = -s - m. Let g = s - 168. Is g a composite number?
True
Let g = 518 - 217. Suppose -g = 5*x - 936. Is x composite?
False
Let v(g) = g**2 - g - 1. Let k be v(2). Let q be k/((1 - -1)/4). Suppose 0 = -q*s - 3 + 105. Is s composite?
True
Suppose -959 = -k + 2*g, 0 = -2*k - k - g + 2863. Is k a prime number?
False
Let b = 812 - 334. Is b composite?
True
Let c be (-2)/(-2)*(1 + 0). Let p be 1*(-1)/c*-1. Let q(l) = 22*l + 1. Is q(p) a prime number?
True
Is 10149/68 + 2 + 9/(-4) composite?
False
Let d(q) = -q**2 - 7*q + 4. Let o be d(-6). Suppose -z + 2*z - o = 0. Is z a prime number?
False
Suppose 2*t + 148 = 6*t. Is t composite?
False
Let c be 2 + -3 - (1 - -2). Let i = c - 16. Let h = 69 - i. Is h composite?
False
Is (-3748)/(-4) + (3 - 1) a prime number?
False
Let n(m) = 7*m - 42. Let j(u) = -1. Let d(r) = -42*j(r) + n(r). Let f be d(-4). Is (10/8)/((-1)/f) prime?
False
Suppose -3*v - 158 = 76. Let c be 2/4*(-1 + -1). Is v/c*3/6 a prime number?
False
Let p(f) = 5*f**2 - 2*f**2 + 2 - 6 + 2*f**3 - 2*f. Let m be p(3). Let y = 124 - m. Is y a prime number?
True
Let x(l) = -l**2 + 3*l - 2. Let g be x(2). Suppose -4*o + g*o = -676. Is o a composite number?
True
Let y(g) = 5*g**3 - g**2 + g - 1. Suppose -2*x + f = -3*f - 6, -3*x - 3*f + 9 = 0. Let c = x - 1. Is y(c) prime?
True
Let a = -1 + 5. Is (5 - a)/((-3)/(-159)) composite?
False
Suppose 2*i + 29 = -15. Let u = 41 + i. Is u a prime number?
True
Let w(d) = -2*d**3 + 5*d**2 + 6*d + 1. Suppose -2*o = -o + 4. Let v be w(o). Suppose 2*p + 3*p - v = 0. Is p a prime number?
True
Suppose -m + 117 = -4*h, 3*m - 269 = -5*h + 14. Suppose 0 = 7*s - 2*s. Suppose 0 = -u + a + 58, 2*u + s*u + a = m. Is u composite?
False
Let q(u) = -42*u**2 - 4*u - 1. Let r be q(-3). Let y = -166 - r. Is y a prime number?
False
Let q(j) be the second derivative of 2/3*j**3 + 0 + 9/2*j**2 - j. Is q(7) composite?
False
Suppose -12 = -3*s + 3*z + 9, -11 = 2*s + 3*z. Suppose -s*g + g = -19. Is g prime?
True
Suppose -4*h - 46 = -f - 4*f, -2*h + 10 = 3*f. Let o(r) = -r + 3. Let d be o(f). Is (-1 + 1 - -142) + d a prime number?
True
Let k(c) = 3*c**2 - 11*c - 19. Is k(-13) a composite number?
False
Let c be (-42)/(-9)*-3*-1. Let h = 36 - c. Is h composite?
True
Suppose 2*y - 4*y - 3*r + 1025 = 0, -r = 4*y - 2025. Is y prime?
False
Suppose -3*b = -3*z - 2*b + 19, b = 2. Let u be (-1 + z)/(6/4). Let k(n) = 2*n**2 - 4*n - 2. Is k(u) composite?
True
Let k(b) = -b**3 + 11*b**2 - 2*b + 14. Suppose 5*y - x = 9 + 12, -9 = -3*y - 3*x. Suppose l - 6 = y. Is k(l) prime?
False
Suppose 5*g - 728 = -4*b, 2*g - g - 712 = -4*b. Is b composite?
True
Let i = 3 + -1. Suppose 417 = 4*v + f, -v = i*f - 79 - 27. Suppose 5*n + 3*k = v, -3*n = -5*k + 2 - 44. Is n a composite number?
False
Let a = 3159 - -40. Is a a composite number?
True
Let s(q) = -5*q**3 - 7*q**2 - 4*q + 5. Let m be s(-8). Is m/28*2*2 prime?
True
Let c(v) = -5*v**3 + 2*v + 1. Let j be c(-1). Suppose -y - y = -j. Suppose -d - 2*d - 38 = -u, -71 = -y*u + d. Is u a prime number?
False
Let w = -1 + 1. Suppose w = 7*v - 2*v - 20. Suppose 2*n - 6 = -4*b + 10, -v*n + 5*b = -45. Is n composite?
True
Let r = -300 - -454. Let c = r - 105. Let m = -34 + c. Is m composite?
True
Suppose 2 = -2*b + 4*t - 6*t, -13 = b + 5*t. Suppose -b*k + 41 + 31 = 2*i, 5*k = 4*i + 135. Is k a composite number?
False
Suppose 3*k = -5*w - 536, 713 = -4*k + 3*w - 8*w. Let z = k - -319. Let h = 216 - z. Is h a prime number?
False
Let a(w) = 8*w**2 - 12*w + 7. Is a(6) a prime number?
True
Let q(w) be the second derivative of 0 + w - 1/6*w**3 + 1/6*w**4 - 1/2*w**2. Is q(-2) a composite number?
True
Suppose -7*a = -5*f - 2*a + 20025, f = 3*a + 3997. Is f prime?
False
Let x(p) = 3*p**3 - 2*p**2 - 2*p + 2. Let d(j) = j**2 + 5*j + 2. Let y be d(-5). Is x(y) a composite number?
True
Let y(k) = k**2 + 2*k - 1. Let q = 4 + -6. Let g be 1 + (-1)/(q/(-12)). Is y(g) composite?
True
Suppose 0 = 4*w - b - 4*b + 31, -b + 11 = -2*w. Let q be (3/6)/((-3)/174). Let k = w - q. Is k a composite number?
True
Suppose -4*i = 0, 3*i + 51 = -3*g - 24. Let l be 6/10 - 10/g. Let q(t) = 20*t - 1. Is q(l) composite?
False
Let q(n) = -n**3 + 11*n**2 + 6*n - 17. Is q(-11) a composite number?
False
Let d be (6 + -2)/(6/(-15)). Let r = -5 - d. Suppose 4*m - r*m + 79 = 0. Is m a prime number?
True
Let t(x) = -x**3 - 16*x**2 - 8*x - 31. Is t(-16) a prime number?
True
Suppose 40 = -x - 50. Let b = -32 - x. Is b a prime number?
False
Suppose o - 2*q = -3*q + 809, 3*o = 2*q + 2427. Is o prime?
True
Let z(i) = 2*i**2 - 7*i + 1. Suppose -14*l + 20 = -12*l. Is z(l) a prime number?
True
Let b(f) = 1 + f**3 - 2*f + 1 - f - 2*f**2. Let h be b(3). Suppose -4*r + h*z - z + 133 = 0, -5*r - 4*z + 161 = 0. Is r composite?
True
Let z(g) = -g**3 - g**2 + g. Let j(w) = 8*w**3 + w**2 - 8*w - 1. Let y(k) = -j(k) - 5*z(k). Is y(-2) composite?
True
Suppose 3*n + 16 = -3*p + 112, -2*p = 3*n - 99. Let q = -14 + n. Is q prime?
False
Suppose -4*p = -5*c + 37, 4*c - 11 = -0*p - 3*p. Suppose -3*y + 120 = -c*z - 132, 0 = -4*y + 2*z + 322. Is y a composite number?
False
Let f(b) = -3*b + 70. Let o(j) = -2*j + 35. Let l(m) = 3*f(m) - 5*o(m). Let n(a) = a**3 + 6*a**2 - a - 6. Let k be n(-6). Is l(k) a prime number?
False
Let b(n) = -1401*n**3 - 2*n**2 - 2*n. Is b(-1) composite?
True
Let f(g) be the second derivative of -g**4/12 + 4*g**3/3 - 4*g**2 - 2*g. Let r be f(6). Suppose o - r = 11. Is o prime?
False
Let s(f) = 3*f**3 - 43*f**2 + 10*f + 33. Let u(y) = -y**3 + 14*y**2 - 3*y - 11. Let k(n) = 3*s(n) + 8*u(n). Is k(18) prime?
True
Let g be ((-7)/21)/(2/12). Let w = 0 - g. Suppose -x + 4*h + 70 - 15 = 0, 0 = w*x - 5*h - 113. Is x prime?
True
Let q = -4 - -4. Suppose q*c + c = 0. Suppose c = f - 94 - 19. Is f a prime number?
True
Let j be (-4 - -5)*(203 + -1). Suppose 39 - j = -o. Is o a composite number?
False
Let t(m) = -8*m**3 - 6*m + 6. Let a(k) = -k**3. Let y(s) = 6*a(s) - t(s). Let v be y(4). Suppose o = -o + i + 99, -v = -3*o + i. Is o prime?
True
Let k(d) = -3 + 1 - 4*d - 16*d**2 - 5*d**2 + 3. Let c be k(3). Is c/12*(-6)/4 a prime number?
False
Suppose 0 = 4*m - q - 1232, q = m - 431 + 120. Is m a composite number?
False
Suppose -5*s = -0*y - 5*y + 5, 0 = -4*s + y - 1. Suppose 2*k - 3*k + 59 = s. Is k a prime number?
True
Let x be (6/9)/((-1)/(-6)). Suppose -x*j + 177 = -331. Is j a composite number?
False
Suppose -43*h - 993 = -44*h. Is h composite?
True
Let f(u) = -u**2 - 29*u + 1. Is f(-14) a composite number?
False
Let k be (15/6)/5*2. Is k - -5 - 3 - -124 a prime number?
True
Suppose -2*v + 1616 = 2*v. Suppose 0 = 3*p + p + v. Let o = 170 + p. Is o composite?
True
Let y be (27/2 - 1)*2. Let v(b) = b**3 - b**2 - 12. Let m be v(0). Let o = m + y. Is o a composite number?
False
Let l = -464 - -665. Let k(t) = t**3 + 10*t**2 + 7*t + 5. Let q be k(-6). Let r = l - q. Is r a composite number?
True
Let j(k) = 2 - 5*k + 8*k - 8. Let c be j(4). Is (-784)/(-6) + 2/c prime?
True
Let n = 9 - -338. Is n composite?
False
Let n = 5 - 11. Let l = 5 - n. Is l prime?
True
Let l(o) = -o**3 + o**2 + 14. Let m be l(0). Suppose 4
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{
"pile_set_name": "DM Mathematics"
}
|
maller: 0.1 or v?
v
Suppose 30*o - 3161 = t + 35*o, -2*t - 6217 = -5*o. Is t less than or equal to -3127?
False
Suppose 17 = -9*g - 28. Suppose 25*w = 28*w - 81. Which is smaller: w or g?
g
Let z(c) = 0*c**3 - 42 + 10*c**2 + c**3 - 45*c**2 - 72*c - 26. Let u be z(37). Which is smaller: -20 or u?
-20
Suppose 0 = 5*n + 168 + 187. Let a = 72 + n. Let i be (-23 - -22)*(0 - a). Are -8/21 and i non-equal?
True
Let a be (-8 - 49/(-6))/(5285/225 + -6). Is a > 0?
True
Let v = 654 + -694. Let s = 251 + -290.7. Let f = v - s. Which is bigger: f or 4?
4
Let g = 0.02 + 0.98. Let j = 166.28 - 1.68. Let h = 167 - j. Which is greater: h or g?
h
Let w(y) = -25*y + 4. Let i be w(-7). Let m = i + -121. Let n(c) = 5*c**2 + 38*c + 42. Let h be n(-8). Is m greater than or equal to h?
True
Suppose 34 = -13*c + 15*c. Suppose 0 = c*l - 22*l + 20. Is 38/9 > l?
True
Let b(t) = 280*t - 2241. Let l be b(8). Is -3/2926 smaller than l?
False
Suppose 4*o + 1695 = 12275. Let w = -97858/37 + o. Is w bigger than 1?
False
Let u = -6.6 + 10.33. Let w = -0.863 + -0.067. Let k = u + w. Is k at least as big as 1?
True
Let r be 163/(-2 - (-407)/33). Which is smaller: 16 or r?
r
Let g = -7.657 - -6.657. Which is smaller: -17182 or g?
-17182
Let w be 1*-1*(0 - 4). Let m be (8/6 + -2)*(-3)/1. Suppose m*h + h = g, -w*h - 4*g = 16. Which is bigger: -20/9 or h?
h
Let w = -872771/36 + 24239. Is w at most as big as -5?
False
Let x(a) = -29*a**2 + 731*a - 65. Let w be x(26). Which is smaller: -662 or w?
w
Let u = 92 - 101. Let f be 9*(-8 - -9) + u. Which is bigger: 9/8 or f?
9/8
Let g = -3132 - -3133. Let d = 79087/123 + -643. Let x = d - 101/1353. Which is greater: x or g?
g
Let u = 11596.71 - 11597. Which is smaller: u or 1/131?
u
Suppose -168 = -32*k + 4*k. Suppose -k*l = 2*l - 600. Is -2/11 not equal to l?
True
Let z = 63 + -60. Let u(g) = 8*g**3 + 4*g**2 + 3*g - 4. Let l be u(z). Suppose -l = 4*y + 39. Is y at least as big as -73?
False
Suppose -6*f - 4*p = -4*f - 356, -4*f + 2*p + 742 = 0. Let g = f - 409. Which is bigger: -224 or g?
-224
Let c be (3 + (-111)/9)/((-98)/21 - -8). Let w be 12/(-4)*1/10. Is w less than c?
False
Let v(c) = 3*c**2 - 22*c + 15. Let h be v(7). Let p be (-37)/3*(-1 + h). Which is smaller: -85 or p?
p
Suppose 116*t + 6843 + 3133 = 0. Let w = -4 + -82. Are w and t equal?
True
Let q = -105487/21 + 35160/7. Suppose 4*n - 245 + 765 = 0. Let g = -4288/33 - n. Which is smaller: q or g?
q
Let b be (-1 + 3)/(-6) - (-113607)/(-27). Is -4207 >= b?
True
Suppose 0 = 8*f - 6 + 14. Let p be (-5)/(-30)*f*(-54)/8. Are 0 and p non-equal?
True
Suppose -30*c - 608592 = 53*c + 10*c. Which is bigger: -6545 or c?
c
Let f be (-1*6 + 0)*(816145/(-38))/55. Are 2339 and f non-equal?
True
Let o = -10061 - -8942. Is -5 at least o?
True
Let a = 53 + -50. Suppose 5*j - 3*j - 25 = 5*d, -5*j + a*d + 15 = 0. Suppose 4*p = -5*w + 24, -p + j*w = 3*w - 6. Is 9 at most p?
False
Let c be 64/96 - 860/1284. Let w be (2 + 1 + -4)*1. Which is smaller: w or c?
w
Suppose 0 = -2*u + 5*x + 14, 0*u + 50 = 5*u - 5*x. Suppose 4*r - 24 = -5*f, 2*r + 3*f + 0 - u = 0. Let d = -49 + 56. Is r != d?
True
Suppose 0 = 11*i + 8874 - 8148. Which is greater: i or -67?
i
Let c(v) = -9*v + 1. Let b be c(-18). Let k = -6030/37 + b. Which is bigger: 0 or k?
k
Let u = 811/14 + -251431/4340. Which is smaller: u or -1?
-1
Let u = 3800.4 + -3802. Is u equal to 40/11?
False
Let a(t) = -39*t + 21. Let s(q) = 3*q - 1. Let n(g) = a(g) - 4*s(g). Let d be n(-3). Which is smaller: 177 or d?
177
Suppose 5*m - 102*m - 53 = 44. Which is bigger: m or -35/94?
-35/94
Let x be (402 + -462)/(-2 + 2/3). Which is smaller: -97 or x?
-97
Suppose -4084 = 4*b - 2436. Let t be (-4)/31*-3208 + -2. Let o = t + b. Do 1 and o have the same value?
False
Let l = 78.028 + -0.028. Let y = -78.47 + l. Is 1 less than or equal to y?
False
Suppose 2*u + 3*l - 13 = 0, 3*u - 12 = -4*l + 2*l. Let x be 4/3 - u - (-2)/3. Let v be 1 - (59/30 - 1). Which is smaller: x or v?
x
Let c(s) = 2*s**3 + 12*s**2 + 5*s + 5. Let o(x) = -2*x**3 - 12*x**2 - 4*x - 6. Let m(b) = 5*c(b) + 4*o(b). Let u be m(-4). Is u greater than -5/2?
True
Let s be 486600/160 - 20/16. Which is greater: s or 3038?
s
Suppose 1048 = 14*m - 9*m - p, -2*m + 406 = 4*p. Suppose -m*s = -216*s. Is s at least -5/32?
True
Let w = 563.37 + -563. Let a = 36 - 41.37. Let q = w + a. Which is bigger: q or 4?
4
Suppose -27*j - 5904 = -13086. Suppose 0 = s - 5*y - 368 + 91, -5*s + 1343 = -4*y. Is j equal to s?
False
Let y = 62.94 + -61.94. Which is smaller: -77 or y?
-77
Suppose 2*d = 2*m - 8, 2*d + 10 = 5*m - 13. Suppose -k + 567 = m*r + 152, -5*k - 166 = -2*r. Are r and 2 non-equal?
True
Let d = -0.2 + 0. Let r = -210 - -210.05. Let u = r - 3.05. Which is greater: d or u?
d
Let d be 6*25/20 + 6/(-4). Let c be d/(-66)*12*3. Let q = 230/77 + c. Is 4/5 <= q?
False
Let a be 2/12 + (3 - 82/(-12)). Suppose -2*h - 40 + a = 0. Is -22 greater than h?
False
Let l(f) = -99*f + 3355. Let m be l(42). Which is greater: m or -806?
m
Let o = -4211.89 - -4212. Which is greater: o or -1/33?
o
Suppose -2*q + 1926 = 2*d - 6*q, 3*d - 5*q - 2886 = 0. Let k = 953 - d. Is k >= -31/6?
True
Let p = 310/7 + -790/21. Let y = 41/6 - p. Is 2/13 at most y?
True
Let i be 20/8*(-12)/(-15). Suppose i*k - 5*j + 15 = 0, 4*j = -3*k - j + 15. Which is smaller: k or 11?
k
Let g = 484 + -484.023. Let r = 1.826 + -0.763. Let s = r - 0.063. Which is greater: g or s?
s
Let x(h) = 4*h**2 + 4*h - 7. Let p be x(-4). Let v = p + -39. Suppose -s = -w - 4, 6*w = v*w + s - 7. Which is greater: 32 or w?
32
Let x = -10862 - -11245. Is 384 < x?
False
Suppose -2*o = -20*f + 25*f - 73, 0 = 3*o + 5*f - 122. Let s = -22757/5 + 4598. Let i = o - s. Is i bigger than 3?
False
Let h(f) = -41*f - 38. Let s be h(-2). Suppose -9*i - 35*i = -s. Which is bigger: i or -4/91?
i
Let d be 0 - (-4 + 2 + 4). Let u = -114/25 - -209/150. Let f = 77/30 + u. Is d <= f?
True
Let t(a) = a**2 - 15*a + 2. Let c be t(17). Suppose 18 = -w + 5*g - g, 0 = -4*w + 4*g - c. Are 8 and w equal?
False
Let n = 7.07 - 6.8. Let f = -1182 + 1174.23. Let g = f + n. Is g greater than 1?
False
Suppose -24261 - 984 = 5*t. Let f be t/54*2/(-1). Let p be 12/(-102) + 56/f. Is -1 > p?
False
Suppose 2*w + 5*j = -65, -3*w - 7 - 68 = 5*j. Do -71/7 and w have different values?
True
Let q = 67 + -58. Let j be ((-6)/243)/(q/(-27)). Let d = 42 + -40. Is j less than d?
True
Suppose -31*y = 2584 - 44124. Which is bigger: 1342 or y?
1342
Let h = -0.3687 - -0.0657. Let j = h + 0.303. Which is smaller: j or 2/73?
j
Suppose -i + 3*r + 5 = 4*r, r - 35 = 5*i. Let v be 31*-1 + (0 - 2). Which is greater: i or v?
i
Let d = -477 - -484. Suppose 0 = d*h + 13 - 27. Which is greater: -0.011 or h?
h
Let n = 165 + -100. Let u = -61 + n. Suppose -t - z - 2 = -0, 0 = u*t + z + 17. Is t < -3/5?
True
Let u(t) = -7*t + 42. Let l(i) = -i**3 - 14*i**2 - 11*i + 32. Let r be l(-13). Let z be u(r). Are z and -5/114 non-equal?
True
Let k(x) = 2*x**2 + 3*x - 2. Let o be k(1). Suppose 0 = -o*s + 3, -s = 4*p + s - 14. Suppose -p*f + f = 12. Is f less than -6?
False
Let k = -553828/87 + 6366. Is 0 less than k?
True
Let v = 1456/3 + -90281/186. Let n = -1.9 + 2. Which is bigger: n or v?
n
Let r be (-1295)/(-6725) - (-1)/(-5). Let f be 3/(-4) - (-5)/(-20). Is r less than f?
False
Let q be (-102294)/(-936) + (-12)/(-26). Is 111 at most q?
False
Let m = 326 - 310. Suppose -16 = 9*u - m. Which is bigger: 2/885 or u?
2/885
Let m be (-16)/6 - (-133438)/(-1461). Is m bigger than -8?
False
Let p = -107257 + 245296773/2287. Is 1 bigger than p?
True
Let o = 843/511 - 110/73. Which is greater: -16.4 or o?
o
Let z = -241 - -193. Let o be (3/12)/(-4 + (-206)/z). Which is smaller: o or -2/9?
-2/9
Suppose 10553 = 236*o - 63*o. Is o smaller than 65?
True
Let d be 2/5*181/(-816). Let w = 3/136 + d. Let s be ((-8)/10 - -1) + 0. Is w at most s?
True
Suppose -5*z + 2*z - 6*z = 0. Suppose -28*o + 24*o + 16 = z. Suppose 54 = -3*h + o*h. Which is smaller: 1 or h?
1
Suppose d - 2*d = -5. Suppose -124 = 4*w + d*o - 15, -2*o + 68 = -2*w. Let s be (5/(-25) + w/(-5))/(-1). Is -4 less than or equal to s?
False
Suppose -178 = 8*m - 34. Let d be 3472/(-36) - 8/m. Is d less than -95?
True
Let f = -18324 + 164648/9. Which is greater: f or 0?
0
Let v(p) be the third derivative of -p*
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + t. Let j be f(1). Sort l, 3, j.
l, j, 3
Let u = 53 - 43. Sort u, -3, 3, 5 in increasing order.
-3, 3, 5, u
Suppose 0 = -4*s - 3*j + 11, 0 = -2*s + 3*j - 1 + 2. Suppose -o + 4*m = -s*o + 25, o - 3*m = -10. Sort o, -4, 7, -3 in ascending order.
-4, -3, o, 7
Let m = 585 - 581. Sort 3, m, -5, -69.
-69, -5, 3, m
Let u = 0.276 - -52.724. Put -0.4, -4, u, 0.5 in ascending order.
-4, -0.4, 0.5, u
Let q = -6 + 5.93. Let y = -0.87968 - 0.12032. Put -3/4, y, -2, q in ascending order.
-2, y, -3/4, q
Let f = 5 + 0. Let s = -19 - -17. Let a be (2 + -1)/(7/s). Sort -1, f, a.
-1, a, f
Let m = 8 + -3. Suppose 8*r + 9 = 5*r. Sort -2, m, -9, r in descending order.
m, -2, r, -9
Let r = -189 + 188.79. Sort 4/5, -1/3, r in decreasing order.
4/5, r, -1/3
Suppose -73 = -6*i + 11. Suppose 18 - i = 4*c. Let f be 0 + (-5 - 0) + 0. Put c, f, -3 in increasing order.
f, -3, c
Let r be 7 + (-9 - -9) + -9. Suppose 0 = 2*u - 0*u + 8. Sort 7, r, u in ascending order.
u, r, 7
Let b = -1/157 - 303/1727. Let l = 13.5 - 13. Put -0.04, l, b in increasing order.
b, -0.04, l
Suppose 18 = 4*y - 54. Suppose 4*z = -14 - y. Let b = z - -10. Put b, -1, 1 in ascending order.
-1, 1, b
Let p = -383 - -383.3. Put p, -0.25, 3/2, 0.2 in decreasing order.
3/2, p, 0.2, -0.25
Let s = -1957 + 1978. Sort s, 3, -4, -6 in increasing order.
-6, -4, 3, s
Suppose 9*x - 33 = 6*x. Suppose 0 = -15*h - 34 - x. Let b = 0 + -2. Put h, -4, b in decreasing order.
b, h, -4
Suppose 2*r - 3*h = -8, -3*r + 22 = -h + 5*h. Suppose 6 = 4*c + r. Suppose 0 = 4*w + i + 1, 3 = 3*w + 2*i - 5*i. Sort -3, w, c in ascending order.
-3, w, c
Let b = -13 + 17. Let m = b + 0. Let y be 16/(-6) + (-1 - -4). Put 2, m, y in decreasing order.
m, 2, y
Suppose 41 = 5*x - 39. Let c be 1 + x/12 + -3*1. Sort 4/5, 4, c, 1/4 in decreasing order.
4, 4/5, 1/4, c
Let t(u) = -7*u**2 + 2*u**3 + 13*u + 10 - 13*u**2 - 9*u**2. Let d be t(14). Sort -2/11, -0.4, d, 2/5.
d, -0.4, -2/11, 2/5
Let a = -613/20 - -125/4. Sort 5, -0.1, a in ascending order.
-0.1, a, 5
Let p = -0.1608 + 0.3608. Let r = -0.4 - 0. Sort r, 0.4, p, 2/11 in descending order.
0.4, p, 2/11, r
Let c be -1 - ((-18)/16 + 0). Let p = 3/1412 + -2839/7060. Put c, -6, p in increasing order.
-6, p, c
Let n = 484 - 434. Sort n, 0.4, -3, 0 in decreasing order.
n, 0.4, 0, -3
Let n = 3069 - 3069.4. Sort -0.1, n, 0.11, 6 in increasing order.
n, -0.1, 0.11, 6
Let b be (-7)/28 + (-2 - 36/(-16)). Let w be ((-16)/(-7))/1 + -2. Put -1, w, 1, b in descending order.
1, w, b, -1
Let t = 10717.5 - 10717. Let v = 0.2 + -0.1. Let i = v - 0.7. Sort i, t, 5/4 in decreasing order.
5/4, t, i
Let h be 9/(1 - 1 - -1). Let z = h - 14. Let c = z - -6. Sort c, 2, 3 in increasing order.
c, 2, 3
Let v = 12 + -12. Let y(g) = -g + 3. Let u be y(v). Sort u, -13, 2 in increasing order.
-13, 2, u
Suppose -2*o - 9 = 5*r, -22 + 16 = 3*r + o. Put -528, -1, r in ascending order.
-528, r, -1
Let w = -341.2 + 382. Let b = w + -41. Sort 1/5, -1/6, b, 3/2.
b, -1/6, 1/5, 3/2
Let v(j) = -10*j + 165. Let f be v(16). Put f, -2, 2 in decreasing order.
f, 2, -2
Let i(z) = -8*z - 7. Let q be i(-2). Suppose 4*t - q = h, -3*t + 7*t - 15 = -h. Suppose -2*v = 5*n - 16, -n + 4 - 11 = -3*v. Put n, 4, h in descending order.
4, h, n
Let h = -127.5 - -128. Sort -21, h, 0, -2.
-21, -2, 0, h
Suppose -7*q = -4*q + 12. Let i be q*(-1 + 0) + 0 + -3. Sort -4, 0, i, 3 in ascending order.
-4, 0, i, 3
Suppose 0 = 3*z + 2 + 7. Let h(x) = 3*x**3 - 48*x**2 - 8*x + 131. Let y be h(16). Put -2, z, 4, y in decreasing order.
4, y, -2, z
Suppose b + 11 = -k, 5*b - 19*k + 34 = -21*k. Let u(v) = -v**2 + 4*v + 1. Let x be u(4). Sort b, -7, x in decreasing order.
x, b, -7
Let x(h) = 76*h - 149. Let y be x(2). Sort 12, 4, y, 0 in decreasing order.
12, 4, y, 0
Let s be (-110)/(-7) - 16/(-56). Suppose 12 = s*w - 13*w. Put -6, w, -2 in ascending order.
-6, -2, w
Let x = -0.19 - -0.35. Let g = x + 20.84. Let w = g - 21. Sort 2, w, 0.01.
w, 0.01, 2
Suppose -v - c + 1 = 0, -2*v + 4*c = -7*v + 1. Let w = 1.3 - 0.8. Put 0.3, w, v in increasing order.
v, 0.3, w
Let x = -3.301 + 0.011. Let n = x + -0.71. Sort -0.1, 4, -0.36, n.
n, -0.36, -0.1, 4
Let o = 17 + -16.95. Let s = 0.303 - 0.103. Put 5, s, o in decreasing order.
5, s, o
Let p(m) = -m**3 + 9*m**2 + 20*m + 21. Let v be p(11). Sort 1/7, v, 1, 5 in ascending order.
v, 1/7, 1, 5
Let c = -231 + 240.7. Let h = 14.7 - c. Put h, 4, 3, -5/4 in descending order.
h, 4, 3, -5/4
Let w be -10 - 1 - -6*2/3. Suppose 8 = 4*b, -f - 3*b - 2 = -4*b. Sort f, 1/8, 1/4, w in descending order.
1/4, 1/8, f, w
Let u(n) = -12*n - 9 - 16 + 0. Let p be u(-3). Put -3, 1, p in descending order.
p, 1, -3
Let x be (-156)/36 - 2/(-6). Let n(z) = -z**2 - z - 3. Let g be n(0). Let o be 3/g + 2 + -2. Sort 6, x, o.
x, o, 6
Suppose -15*u + 1163 = 1148. Sort 3, u, 0, -6 in descending order.
3, u, 0, -6
Let a(r) = r**3 + 19*r**2 - 42*r + 5. Let g be a(-21). Put -2, g, 4, 12 in descending order.
12, g, 4, -2
Let h = -57/2 + 29. Let z = -4 - -7. Let k = 19 + -19.3. Sort k, h, z in descending order.
z, h, k
Let b = -0.16 + 1.16. Sort -0.3, -0.1, b in descending order.
b, -0.1, -0.3
Let d be (-24)/(-9)*(-45)/(-20). Let j = -3 + d. Sort j, 6, -4 in descending order.
6, j, -4
Let s = -110 + 106. Suppose 2*y = -4 - 2. Put s, -5, -6, y in descending order.
y, s, -5, -6
Suppose 3*s + 77 = -c, -21*c + 16*c = -3*s - 101. Sort s, 3, -1.
s, -1, 3
Let n = 1026 - 1022. Sort 7, 5, -1, n.
-1, n, 5, 7
Let u = 877.4 + -877. Put 3, -0.62, u in ascending order.
-0.62, u, 3
Let r = 691 - 755.6. Let t = -65 - r. Let j = -20/9 + 2. Put -4, t, j in decreasing order.
j, t, -4
Let j = 35.2 - 35. Let y be 4/(-6)*36/8. Let l be (-8)/(-9) - (-2)/y. Sort j, 0.08, l in increasing order.
0.08, j, l
Let w(m) = -2*m - 3. Let y be w(-4). Let h = 0.98 - -0.12. Let a = h - 0.8. Put 0.2, a, y in descending order.
y, a, 0.2
Let o = -252 - -239.7. Let u = o - -12.1. Let s = -265/52 + 21/4. Put s, 2/3, u in descending order.
2/3, s, u
Let p = -116.39 + -2.61. Let w = p + 120. Sort w, 3/7, -0.2, 0.3 in ascending order.
-0.2, 0.3, 3/7, w
Suppose -p + 9 + 7 = 0. Suppose -5*o + 3*o - p = 0. Put 5, -1, o in ascending order.
o, -1, 5
Suppose 20 = 4*k + 2*b, 0 = -4*k + b + 7 + 1. Sort -3, k, -2.
-3, -2, k
Let y be (39/9)/13 + -1. Put 1/4, -4/11, y in descending order.
1/4, -4/11, y
Let j(y) = 3*y**2 + 24*y - 2. Let r be j(-7). Sort -5, r, 4 in ascending order.
r, -5, 4
Suppose 0 = -10*i + 6*i. Let v = -35 - -16. Let k = v - -22. Put i, -4/7, k in decreasing order.
k, i, -4/7
Suppose -2*z - 2*u + 26 = 0, -3*z = -4*u + 6 - 17. Sort z, -6, 1 in descending order.
z, 1, -6
Let a(q) = -q**2 + 2*q + 4. Let u be a(4). Let s(d) = -d**3 + 1. Let m be s(0). Sort u, -2, m.
u, -2, m
Suppose 0 = -2*q - 2*q + 12, -4*l - 4*q = -84. Let w be 390/(-104) - (l/8)/(-3). Let r(g) = -g - 8. Let p be r(-6). Sort p, w, 2.
w, p, 2
Let m = 0.1012 + -0.0012. Let v = -8 - -8.8. Let x = v + 0.2. Put x, m, 3 in descending order.
3, x, m
Let s = -1 + 5. Let j(m) = m**3 - 10*m**2 + 15*m - 4. Let y be j(5). Let r be (y/(-36))/(1/(-2)). Sort 1/12, s, r in increasing order.
r, 1/12, s
Let k be ((-33)/22)/((-1)/(-4)). Sort -2, -5, k, 4.
k, -5, -2, 4
Let u be (-14 - 0 - -4*1)/2. Sort -4, u, -5/3 in decreasing order.
-5/3, -4, u
Let q = -546 + 554. Put q, -1, -3, 20 in ascending order.
-3, -1, q, 20
Let w = 9 - 4. Suppose 4*a = -m - 0*a + 50, 5*a - 122 = -3*m. Suppose -m + 6 = -7*l. Sort w, l, 0 in descending order.
w, l, 0
Let b(p) = -7*p + 13 - 2*p**2 - 5*p + 5*p - 9. Let f(x) = x**3 + 5*x**2 + 2*x + 6. Let r be f(-5). Let q be b(r). Put -4, q, -1 in ascending order.
-4, -1, q
Let b = -120.2 + 123. Let s = -3.8 + b. Sort 4, -2/17, s in descending order.
4, -2/17, s
Let f(x) = 22*x**2 - 7*x - 1. Let d be f(2). Put -3, d, -4 in descending order.
d, -3, -4
Let t be -3*(2 - 1) + -1. Suppose 4*x - 2*k + 1354 - 1352 = 0, -5*x + 5*k = -5. Put -9, -3, t, x in increasing order.
-9, t, -3, x
Let j(a) = -a**3 + 102. Let c be j(0). Let q be (3/c)/((-1)/2). Let r(f) = -f**3 - 7*f**2 - 10*f. Let h be r(-2). Sort 1/4, h, q.
q, h, 1/4
Let b = -2192 - -2184. Put 0.01, 5, b in increasing order.
b, 0.01, 5
Let d be (2 - 3)*(-6)/(131 - -7). Let p be (-3)/6 + (-146)/(-184). Let n = p - d. Sort -1/8, n, -5 in decreasing order.
n, -1/8, -5
Suppose 5*t - 20
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when 84 is divided by 43?
41
Calculate the remainder when 2343 is divided by 102.
99
Calculate the remainder when 98 is divided by 23.
6
What is the remainder when 335 is divided by 19?
12
What is the remainder when 764 is divided by 13?
10
What is the remainder when 535 is divided by 511?
24
Calculate the remainder when 90 is divided by 64.
26
What is the remainder when 60 is divided by 25?
10
What is the remainder when 1193 is divided by 199?
198
What is the remainder when 1177 is divided by 113?
47
What is the remainder when 104 is divided by 29?
17
Calculate the remainder when 184 is divided by 32.
24
Calculate the remainder when 32 is divided by 22.
10
Calculate the remainder when 2146 is divided by 525.
46
Calculate the remainder when 379 is divided by 35.
29
Calculate the remainder when 621 is divided by 115.
46
What is the remainder when 2838 is divided by 14?
10
Calculate the remainder when 100 is divided by 25.
0
Calculate the remainder when 317 is divided by 101.
14
Calculate the remainder when 31142 is divided by 136.
134
Calculate the remainder when 579 is divided by 53.
49
What is the remainder when 2231 is divided by 22?
9
What is the remainder when 64 is divided by 33?
31
Calculate the remainder when 61 is divided by 47.
14
What is the remainder when 1938 is divided by 37?
14
What is the remainder when 4280 is divided by 3?
2
Calculate the remainder when 89 is divided by 29.
2
What is the remainder when 183 is divided by 57?
12
What is the remainder when 313 is divided by 75?
13
What is the remainder when 1682 is divided by 24?
2
Calculate the remainder when 573 is divided by 36.
33
Calculate the remainder when 1760 is divided by 254.
236
Calculate the remainder when 343 is divided by 39.
31
Calculate the remainder when 417 is divided by 35.
32
Calculate the remainder when 213 is divided by 7.
3
What is the remainder when 1108 is divided by 11?
8
Calculate the remainder when 9098 is divided by 37.
33
Calculate the remainder when 185 is divided by 90.
5
Calculate the remainder when 93 is divided by 20.
13
What is the remainder when 111 is divided by 26?
7
Calculate the remainder when 10 is divided by 10.
0
Calculate the remainder when 7611 is divided by 29.
13
What is the remainder when 253 is divided by 46?
23
Calculate the remainder when 945 is divided by 269.
138
What is the remainder when 2915 is divided by 243?
242
Calculate the remainder when 44 is divided by 17.
10
What is the remainder when 44397 is divided by 37?
34
Calculate the remainder when 4025 is divided by 212.
209
Calculate the remainder when 72 is divided by 21.
9
What is the remainder when 581 is divided by 204?
173
Calculate the remainder when 66 is divided by 11.
0
Calculate the remainder when 924 is divided by 116.
112
Calculate the remainder when 3533 is divided by 19.
18
Calculate the remainder when 1452 is divided by 2.
0
What is the remainder when 1188 is divided by 92?
84
What is the remainder when 308 is divided by 37?
12
What is the remainder when 1050 is divided by 3?
0
What is the remainder when 1733 is divided by 143?
17
What is the remainder when 456 is divided by 147?
15
Calculate the remainder when 3586 is divided by 52.
50
Calculate the remainder when 111 is divided by 7.
6
What is the remainder when 3457 is divided by 19?
18
Calculate the remainder when 562 is divided by 146.
124
What is the remainder when 19088 is divided by 83?
81
Calculate the remainder when 1123 is divided by 371.
10
What is the remainder when 139 is divided by 80?
59
What is the remainder when 2336 is divided by 18?
14
What is the remainder when 1037 is divided by 52?
49
What is the remainder when 295 is divided by 31?
16
Calculate the remainder when 3826 is divided by 6.
4
What is the remainder when 3125 is divided by 46?
43
What is the remainder when 664 is divided by 22?
4
Calculate the remainder when 13394 is divided by 17.
15
What is the remainder when 2798 is divided by 100?
98
Calculate the remainder when 237 is divided by 40.
37
Calculate the remainder when 52 is divided by 15.
7
Calculate the remainder when 86 is divided by 22.
20
Calculate the remainder when 342 is divided by 32.
22
What is the remainder when 717 is divided by 123?
102
Calculate the remainder when 6230 is divided by 20.
10
Calculate the remainder when 262 is divided by 35.
17
What is the remainder when 222 is divided by 169?
53
What is the remainder when 18 is divided by 10?
8
What is the remainder when 681 is divided by 39?
18
What is the remainder when 26053 is divided by 367?
363
Calculate the remainder when 561 is divided by 145.
126
What is the remainder when 145 is divided by 40?
25
Calculate the remainder when 13 is divided by 2.
1
Calculate the remainder when 588 is divided by 253.
82
Calculate the remainder when 598 is divided by 29.
18
Calculate the remainder when 3647 is divided by 192.
191
What is the remainder when 4723 is divided by 15?
13
What is the remainder when 163 is divided by 11?
9
What is the remainder when 8 is divided by 6?
2
What is the remainder when 153 is divided by 68?
17
What is the remainder when 107 is divided by 12?
11
What is the remainder when 178 is divided by 85?
8
Calculate the remainder when 122 is divided by 31.
29
Calculate the remainder when 108 is divided by 84.
24
Calculate the remainder when 1098 is divided by 50.
48
Calculate the remainder when 2687 is divided by 158.
1
Calculate the remainder when 112 is divided by 44.
24
What is the remainder when 323 is divided by 138?
47
Calculate the remainder when 93 is divided by 15.
3
Calculate the remainder when 164 is divided by 80.
4
What is the remainder when 372 is divided by 17?
15
What is the remainder when 149 is divided by 51?
47
Calculate the remainder when 14298 is divided by 20.
18
Calculate the remainder when 376 is divided by 14.
12
Calculate the remainder when 30 is divided by 20.
10
Calculate the remainder when 836 is divided by 56.
52
Calculate the remainder when 81 is divided by 23.
12
Calculate the remainder when 3557 is divided by 6.
5
Calculate the remainder when 118 is divided by 28.
6
What is the remainder when 1543 is divided by 82?
67
What is the remainder when 1406 is divided by 57?
38
Calculate the remainder when 2042 is divided by 186.
182
What is the remainder when 411 is divided by 24?
3
Calculate the remainder when 205 is divided by 80.
45
What is the remainder when 2270 is divided by 16?
14
What is the remainder when 443 is divided by 248?
195
What is the remainder when 265 is divided by 131?
3
Calculate the remainder when 249 is divided by 112.
25
What is the remainder when 14746 is divided by 6?
4
Calculate the remainder when 508 is divided by 248.
12
What is the remainder when 3623 is divided by 29?
27
What is the remainder when 1262 is divided by 71?
55
What is the remainder when 378 is divided by 24?
18
What is the remainder when 1570 is divided by 123?
94
Calculate the remainder when 2030 is divided by 28.
14
Calculate the remainder when 176 is divided by 93.
83
What is the remainder when 295 is divided by 209?
86
Calculate the remainder when 3318 is divided by 71.
52
Calculate the remainder when 447 is divided by 14.
13
Calculate the remainder when 334 is divided by 175.
159
Calculate the remainder when 183 is divided by 33.
18
What is the remainder when 3320 is divided by 41?
40
What is the remainder when 155 is divided by 39?
38
Calculate the remainder when 380 is divided by 65.
55
Calculate the remainder when 755 is divided by 21.
20
Calculate the remainder when 490 is divided by 46.
30
Calculate the remainder when 1594 is divided by 797.
0
Calculate the remainder when 2114 is divided by 93.
68
What is the remainder when 7227 is divided by 139?
138
Calculate the remainder when 119 is divided by 53.
13
What is the remainder when 76 is divided by 25?
1
What is the remainder when 3309 is divided by 182?
33
Calculate the remainder when 532 is divided by 132.
4
Calculate the remainder when 30166 is divided by 12.
10
Calculate the remainder when 4353 is divided by 36.
33
Calculate the remainder when 155 is divided by 40.
35
What is the remainder when 414 is divided by 142?
130
What is the remainder when 126 is divided by 63?
0
What is the remainder when 266 is
|
{
"pile_set_name": "DM Mathematics"
}
|
quence crz when three letters picked without replacement from zkczrrrzzrrmicrrz?
7/408
Calculate prob of sequence wwx when three letters picked without replacement from xxxxxxxxxwwxwxxxxxwx.
8/285
Three letters picked without replacement from npnpnpnn. Give prob of sequence npn.
5/28
Four letters picked without replacement from {h: 5, r: 5, q: 4}. What is prob of sequence rrqr?
10/1001
Calculate prob of sequence quq when three letters picked without replacement from uqqqquuquuqqqq.
15/91
Three letters picked without replacement from jjjrrbrrjrrrjrj. What is prob of sequence jbj?
1/91
Calculate prob of sequence tsu when three letters picked without replacement from {t: 1, b: 4, s: 12, u: 3}.
1/190
Three letters picked without replacement from wwwwuwwwwwwuwwwwuuww. What is prob of sequence uuw?
8/285
What is prob of sequence pyp when three letters picked without replacement from ppppyyeep?
5/63
What is prob of sequence pk when two letters picked without replacement from rtwkwhp?
1/42
Four letters picked without replacement from aaazzaazzaa. What is prob of sequence azaa?
7/66
What is prob of sequence qq when two letters picked without replacement from {q: 1, k: 5, y: 5}?
0
Calculate prob of sequence gg when two letters picked without replacement from {c: 3, g: 6, t: 3, b: 7}.
5/57
What is prob of sequence hku when three letters picked without replacement from eqmkhhuqhehm?
1/330
Calculate prob of sequence efoe when four letters picked without replacement from eoeef.
1/20
Two letters picked without replacement from jjjjj. What is prob of sequence jj?
1
Four letters picked without replacement from {j: 6, d: 3, u: 4, n: 1, i: 2}. Give prob of sequence uinu.
1/1820
What is prob of sequence jr when two letters picked without replacement from nxjrxpry?
1/28
Three letters picked without replacement from {r: 2, b: 7, h: 1, d: 7}. What is prob of sequence ddh?
7/680
Two letters picked without replacement from ccccctttct. What is prob of sequence tc?
4/15
What is prob of sequence qqrq when four letters picked without replacement from {q: 3, r: 1}?
1/4
Two letters picked without replacement from nnnnnn. What is prob of sequence nn?
1
What is prob of sequence kj when two letters picked without replacement from jkjkkk?
4/15
Four letters picked without replacement from tajaryyytyjyyaj. What is prob of sequence yjjy?
1/182
Four letters picked without replacement from {i: 3, o: 5, k: 5, u: 2}. Give prob of sequence ukik.
1/273
Four letters picked without replacement from atat. What is prob of sequence atat?
1/6
Two letters picked without replacement from jllncc. What is prob of sequence ln?
1/15
Calculate prob of sequence hhgh when four letters picked without replacement from hhzzzfgzghhf.
2/495
Calculate prob of sequence hju when three letters picked without replacement from {h: 3, j: 2, a: 1, p: 9, u: 4}.
4/969
Calculate prob of sequence jrz when three letters picked without replacement from {r: 4, x: 2, v: 3, u: 1, z: 2, j: 2}.
2/273
Four letters picked without replacement from qniqiepinpqqner. What is prob of sequence npii?
1/910
Two letters picked without replacement from vuccbzkk. Give prob of sequence vk.
1/28
Three letters picked without replacement from pcccfckpfkcc. Give prob of sequence fcp.
1/55
Three letters picked without replacement from rrprprrpprpppppprpp. What is prob of sequence ppp?
220/969
Calculate prob of sequence zzk when three letters picked without replacement from kkkzkczkkzzgzckkzzcc.
14/285
Calculate prob of sequence lk when two letters picked without replacement from {k: 5, l: 5, f: 2, x: 1, v: 5}.
25/306
Two letters picked without replacement from imamging. Give prob of sequence ig.
1/14
Calculate prob of sequence yqqy when four letters picked without replacement from qyyyyqyqqqqqqqyyyyq.
45/646
Four letters picked without replacement from {n: 4, a: 7, r: 1, e: 2}. What is prob of sequence eenr?
1/3003
Four letters picked without replacement from {g: 3, e: 5}. Give prob of sequence eeee.
1/14
What is prob of sequence qsau when four letters picked without replacement from aujajjsqjj?
1/2520
What is prob of sequence ss when two letters picked without replacement from xsxsexee?
1/28
Calculate prob of sequence zdd when three letters picked without replacement from {d: 3, z: 1}.
1/4
Three letters picked without replacement from {k: 1, d: 7, y: 2, n: 8}. What is prob of sequence ynk?
1/306
Calculate prob of sequence fpp when three letters picked without replacement from ffpfpp.
3/20
Four letters picked without replacement from sosoososos. What is prob of sequence soso?
5/63
What is prob of sequence tt when two letters picked without replacement from ttttutytutyttyt?
3/7
Calculate prob of sequence zaaj when four letters picked without replacement from nzzaanajaazzzjaan.
1/136
Two letters picked without replacement from zlulqq. Give prob of sequence uq.
1/15
Three letters picked without replacement from {m: 3, c: 12}. What is prob of sequence cmc?
66/455
Three letters picked without replacement from isfzxzl. What is prob of sequence isz?
1/105
What is prob of sequence ddpp when four letters picked without replacement from ppvvvpvdvdvvvvppvpv?
5/7752
Four letters picked without replacement from yymyymyymmymyy. Give prob of sequence mymy.
60/1001
What is prob of sequence zs when two letters picked without replacement from {s: 3, z: 2}?
3/10
What is prob of sequence mm when two letters picked without replacement from {p: 3, m: 2, c: 3}?
1/28
Calculate prob of sequence uee when three letters picked without replacement from {c: 3, a: 7, k: 3, e: 5, u: 1}.
10/2907
Two letters picked without replacement from {y: 1, b: 2, s: 1, x: 1, o: 2, n: 1}. What is prob of sequence sn?
1/56
Two letters picked without replacement from jjjjjjjjjrjjrrjjrrjj. Give prob of sequence jr.
15/76
Four letters picked without replacement from zvlvzrpzrz. What is prob of sequence zvpv?
1/630
Four letters picked without replacement from vbbbbvbbbvvbqbbvvb. Give prob of sequence vqbv.
11/2448
Two letters picked without replacement from skknscsnssns. What is prob of sequence nn?
1/22
Four letters picked without replacement from yyjcjyjuyjjjcyyjjj. Give prob of sequence jujc.
1/510
Four letters picked without replacement from fffffxffxfxfxfffxxx. Give prob of sequence ffff.
165/1292
Calculate prob of sequence qdr when three letters picked without replacement from {p: 1, d: 11, i: 2, r: 3, q: 1}.
11/1632
Four letters picked without replacement from mmmtdmllmtld. Give prob of sequence mddl.
1/396
Four letters picked without replacement from {d: 2, k: 7}. What is prob of sequence kdkd?
1/36
What is prob of sequence kkcp when four letters picked without replacement from {p: 4, k: 3, c: 4, w: 6}?
1/595
Calculate prob of sequence elx when three letters picked without replacement from eclex.
1/30
Three letters picked without replacement from oqzmd. What is prob of sequence zoq?
1/60
Four letters picked without replacement from oooo. Give prob of sequence oooo.
1
Three letters picked without replacement from {b: 6, h: 3, f: 1, r: 5, d: 3}. Give prob of sequence dbb.
5/272
What is prob of sequence jj when two letters picked without replacement from nnnjjjnjnnnnnn?
6/91
What is prob of sequence lm when two letters picked without replacement from {m: 4, f: 1, l: 2}?
4/21
Four letters picked without replacement from {n: 1, z: 1, y: 2, w: 1, a: 3, g: 4}. What is prob of sequence agyw?
1/495
Four letters picked without replacement from {r: 9, l: 11}. What is prob of sequence llll?
22/323
Three letters picked without replacement from {a: 16, u: 4}. What is prob of sequence aaa?
28/57
Calculate prob of sequence dwv when three letters picked without replacement from vqvqwdgqvqqg.
1/440
Two letters picked without replacement from vflodadfl. Give prob of sequence od.
1/36
Three letters picked without replacement from riirgtlgrgild. What is prob of sequence llr?
1/286
What is prob of sequence bq when two letters picked without replacement from qqyqqqbbqqqqqyqqqqqb?
9/76
Two letters picked without replacement from yifiificxxyffflyff. What is prob of sequence xf?
7/153
Calculate prob of sequence rku when three letters picked without replacement from kru.
1/6
What is prob of sequence xrt whe
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
Suppose -4*a = -9*x + 6*x - 3487, 4*a = 5*x + 3481. Let y be 1/13 + a/299. Solve 0 = y*q + 2*q - 2*h + 19, -q + 5*h + 10 = 0 for q.
-5
Suppose -2*k + r + 1615 = 0, -r + 10 - 9 = 0. Suppose 4 = k*f - 806*f. Solve 1 = -l + 3*c, 2*l = -0*l - f*c + 14 for l.
5
Let u(w) = 2*w**2 - 58*w + 312. Let o be u(7). Solve -2*h = -5*x + 33, 2*h - o*x + 18 = -10 for h.
-4
Suppose 5*t - 3*t - 230 = 0. Suppose -3*l + 481 = 4*o, -l + 475 = 7*o - 3*o. Let k = o - t. Solve -3*m = -0*w + 4*w + 26, -m = -k*w - 13 for w.
-5
Let h be ((-18)/15)/(6/(-50)). Let v = -12 + 7. Let n = v + h. Solve n*w + 4 - 26 = -c, 2*w + 3*c - 1 = 0 for w.
5
Let t = -6 - -9. Let p = -1142 + 1145. Solve -2*w - 2 = -p*i, 7*w + 18 = t*w - i for w.
-4
Suppose -2*m + 93 - 19 = 0. Suppose -5*o + 43 + m = 0. Let k = o - 10. Solve k = -u - 0*u - 2*q, 5*u = -5*q - 10 for u.
2
Let w(x) = 11*x**2 + 42*x - 15. Let q(b) = -7*b**2 - 28*b + 10. Let p(c) = 8*q(c) + 5*w(c). Let u be p(0). Solve l - 8 = 2*s + u*l, 3*l + 1 = s for s.
-2
Suppose 2*x - 41 + 85 = 0. Let p(s) = s**2 + 21*s - 20. Let i be p(x). Solve 0 = -z + i*l + 15, -2*z - 5*l = -4*z + 35 for z.
5
Let u(h) = h**3 + 24*h**2 - 28*h - 75. Let r be u(-25). Solve -4*g = 3*k - r*k - 22, 2*k + 8 = 3*g for g.
4
Let v be ((-1)/(-3))/((-1)/(-15)). Let m = -5 + 6. Let t = 3 + m. Solve 0 = 5*y + v*c + 45, t*y - 8 = 4*c - 4 for y.
-4
Let s = -3 - -10. Let v = s + -5. Let k(y) = -y**2 + 36*y - 311. Let l be k(17). Solve -4*x + v*x + 7 = -f, 4*f + l = 0 for x.
2
Let d be 6 + (12 + -10 - 1). Solve -d*x + 4*s + 12 = -8*x, 4*s = -4*x for x.
4
Let o = 177 - 177. Suppose -3*a = i + 3, 2*a + 3*i + 9 = 3*a. Suppose a = 5*p - p - 16. Solve -5*x - 2*v + 24 = o, x + 8 = 5*x - p*v for x.
4
Suppose -4*r + 2*r = -20. Suppose r*s - 5*s - 35 = 0. Solve -2*d = -3*f - s, 3*d - 17 = -2*f - 0*f for d.
5
Suppose j - 27 = -5*o + 8*o, 4*o + 8 = 0. Solve -5*x = -4 - j, -3*b = x - 32 for b.
9
Let f(j) = j**2 + 6*j + 10. Let o(x) = -11*x + 82. Let z be o(8). Let k be f(z). Solve -k = -s - 5*m, -4 = -4*s + s - 2*m for s.
0
Let s(a) = -a**2 - 8*a + 21. Let g be s(2). Let q be (-1 + (g - -1))/(3/6). Solve 14 = q*z - 5*h, 10 = 2*z - 4*h - 2 for z.
2
Let p(w) = -2*w + 52. Let a be p(32). Let m be -6 + 5 + a/(-3). Solve f = -0*o - o - m, 3*f = 3*o + 15 for f.
1
Suppose -5*z - 5*q + 100 = 0, -6*z + 5*q + 75 = -4*z. Solve -2*a - 2*a - 5*s + z = 0, 10 = -a + 2*s for a.
0
Suppose y = -0*y + 22. Let i be (-12 + 693/55)*5. Solve i*w = 3*k + 9, -2*w + w - 4*k = y for w.
-2
Suppose 2798*p - 2772*p = 156. Solve 8*c = 3*u + 6*c + 2, -3*c - p = 0 for u.
-2
Let o = -18 - -18. Suppose -5*u + 14 + 1 = o. Let b be ((-10)/4)/(u/6*-1). Solve -2*q - g - 10 = 0, -2*q + b*q + 4*g = -15 for q.
-5
Suppose 3*s = 4*j - 962, 15 = 2*j + 4*s - 455. Let k = 242 - j. Solve q + 3 = -0*q, 34 = 5*w - k*q for w.
5
Let m be (-102)/34*(-13)/3. Suppose 34 = -m*w + 216. Solve -5*i - w = u, 0 = 3*u - 4 + 1 for i.
-3
Suppose -4*d + 5*t = -26, 16 - 4 = 2*t. Solve 4*c + m = 5, -d*c - 3 = -16*c - m for c.
1
Let f = 171 + -94. Let t = 95 - f. Solve 5*y - 6 = 2*l - 19, 3*l + 5*y + t = 0 for l.
-1
Let i(t) = -202*t + t**3 + 44*t**2 + 192*t - 37*t**2 - 16. Let j be ((-4)/(-6))/((-2)/24). Let u be i(j). Solve -4*o + 20 = 3*x, u = -5*x + o - 5*o + 20 for x.
0
Let s be (1 - 2)*(57 - 0). Let z = s - -61. Suppose -z*b - 2 + 14 = 0. Solve 2*q = x + b, 5*x = 4*q - 3*q + 12 for q.
3
Let r = 3 - -14. Suppose 6317*s - 6314*s = 2*j + 104, -3*s - j + 74 = 0. Solve n = -3*c - c + r, 5*c - s = n for n.
-3
Let v be 1504/224 - -1*2/7. Let j(a) = -a**3 + 6*a**2 + 22*a - 87. Let n be j(v). Solve l + 2*g - 6*g + 21 = 0, 0 = 3*l - 3*g + n for l.
-1
Suppose v + 81 = 101. Let f be -3 - v/(-5 - -1). Solve 4*a = -4, 0 = -2*b - 3*a - f*a - 11 for b.
-3
Let v = 6100 - 6100. Solve -11*w + 14*w + 2*l + 19 = 0, 4*l + 20 = v for w.
-3
Suppose -6*f + 28*f = 6820 - 6820. Solve f = -a - 4*t + 8*t, 5*t = 5*a for a.
0
Let f = 56 + -65. Let c be (-112)/42*f/6. Solve -5*b - c*j = 0, 4*b - b - 4*j + 32 = 0 for b.
-4
Suppose -22*l - 37 = -27*l - 4*h, -3*l - 2*h = -23. Solve 5*u = -x - 25, -l*x = -5*u - 11*x - 25 for u.
-5
Let c(g) = 4*g**2 + 4*g - 3. Let q be c(2). Suppose 3*a - q = -6. Suppose -5*k + 26 = m, -2*k - m = -a - 3. Solve -2*y = 2*w - k, -w + 3*y + 9 + 2 = 0 for w.
5
Let q = -170 - -177. Let v(l) = -l**2 + 2*l + 39. Let f be v(q). Solve 5*d - 26 = -f*h, h + 3*h - 14 = d for h.
4
Let d = -161 - -83. Let y = d - -161. Let j = 99 - y. Solve 0 = 4*s - j, 4*s - s + 8 = -5*r for r.
-4
Suppose 4*v + 73 = -q, 2*q + 2*q - 14 = 2*v. Let z be -5 - (-186)/42 - (-496)/(-14). Let l = v - z. Solve -k = -2*o + 9, 0*k - 3*o + l = 4*k for k.
1
Let m(t) = -17*t - 32. Let g be (4 + (-5)/5 + -4)*2. Let y be m(g). Solve 3*d - 3 = -3*r - 15, -y*r = -2*d - 8 for r.
0
Let s be -94*1 + 1/1. Suppose 3798 = 37*w + 209. Let i = w + s. Solve r + i*z - 1 + 13 = 0, 0 = -5*r - 2*z + 12 for r.
4
Suppose -5*y + 3872 = 3857. Solve 3*j - 5 = 2*w, y = -w - 5*j + 6*j for w.
-4
Suppose 34*d + 27 = -11*d + 252. Suppose 0 - 2 = -n. Suppose d*f + 3 = b, 0*b - n*b - 4*f = -20. Solve 5*t = 2*o + b, t + 3*o = -2*t - 12 for t.
0
Let o(j) = -j**3 - 14*j**2 - 13*j + 19. Let h be o(-13). Suppose -z + h*z = 108. Solve 3*l - z*l - 3*u = -3, 2*l - 3*u - 22 = 0 for l.
5
Suppose 8 = -4*j, -391*y - 2*j = -387*y - 24. Solve 0 = -5*c - 6*n + y*n + 25, -n + 5 = c for c.
5
Suppose 203 + 202 = 45*t. Let d(q) = -q**2 + 8*q + 12. Let l be d(t). Solve -o + 2 = n, l = o - 5*n - 17 for o.
5
Suppose a + 3*f = -261 + 274, -22 = -4*a - 2*f. Solve -a*z = 5*p + 6 + 4, 16 = -2*z + 3*p for z.
-5
Let i = 15104 - 15102. Solve 0 = -5*j - 15, 143*d - 142*d + i = -2*j for d.
4
Suppose -5*j + 43 = 8. Suppose j + 1 = 4*q. Let l be (-2 - -2)/(0 + -2). Solve -2*h = -2, -q*n + 5*h + 0 - 13 = l for n.
-4
Let q = 5 - 2. Suppose -q*n = -2*m - 22, -5*n - m + 26 = m. Suppose 5*z - 19 - n = 0. Solve -12 = -4*o - 2*c + 6*c, o - 7 = z*c for o.
2
Suppose 0 = -5*a - 4*a - 14*a. Solve a = 5*g + 3*c + 40, 4*c + 15 = c for g.
-5
Let z be 12/(-15) + ((-28)/(-5))/2. Solve 5*l - 8 = z*a + 11, 0 = a + 3*l - 18 for a.
3
Suppose 4*c + 2*s = -0*s + 22, 2*s - 2 = 0. Solve -5*f + r = 15, -17 = c*f - 3*r + 8 for f.
-2
Let c be (-2*90)/(-12) - 12. Solve 5*a = -4*y - 13, -6*y = -c*a - 5*y - 18 for a.
-5
Let n = -2 + 6. Suppose 3*f = -n*o + 2*f + 2, 0 = 4*f - 8. Let m = -375047 - -375053. Solve 2*t - m*z + 2 = -2*z, 4*t - z - 3 = o for t.
1
Suppose 0 = 4*n - 9 - 7, -4*n + 7 = -3*u. Solve -4*a + 27 - 1 = 2*g, -u*a + 15 = 0 for g.
3
Let q be -4*(-6)/36 + 376/12. Suppose g - 4 = 3*c, 0 = -3*g - 3*c + 4 + q. Solve -g = -2*h + 5*w, 15 = 3*h + 4*w - 7*w for h.
5
Let f be (3 - 4)*(-6)/(3 + -1). Suppose -6*l + f*l = 5*l. Solve -y + 6 = -2*j, l*y - j = -y + 4 for y.
2
Suppose -3550 = 42*s - 397*s. Solve -3*p - 5*v + 10 = 6, 0 = 5*v - s for p.
-2
Suppose -2*w + 122 - 114 = -p, 5*w - 4*p = 23. Solve -2*r = -w*j + 13, -2*j - 4 = 8*r - 3*r for r.
-2
Let p(x) = 238*x**3 - 4 - 3*x - 237*x**3 - 4 - 9 + 8*x**2. Let m be p(-9). Let u = -68 - m. Solve -u*c - 2 + 15 = -4*i, 16 = -i + 5*c for i.
-1
Let z be (-2 - (-28)/4) + -2. Let j(p) = 4*p**2 - 4*p - 3. Let l be j(-2). Suppose 5*i + 11 = 31. Solve i*n + z*r - 4 = -l, -r = -5*n - 26 for n.
-5
Suppose 0 = -4*b + 5*y + 19, -3*b + 35*y = 39*y + 9. Solve 0 = -n - 3*x - 2*x + b, -4*x = n - 1 for n.
1
Let b = 118 + -112. Let w be -6 + 66/b + 6. Solve d + 29 - 2 = -5*i, -3*d - w = i for i.
-5
Let h be 6 + (-186)/9 + 2/(-6). Let w be 1 + 2 - (h - -16). Solve 2*i + 2 = 0, 4*f = 6*f - w*i - 2 for f.
0
Suppose 5*o + 275*r = 272*r + 166, 5*r + 50 = o. Solve 0 = 4*z - 3*h + o, 2*h = 5*z - 8*z - 5 for z.
-5
Suppose -5*n + 8 = -8*s - 169, 4*n + 3*s - 151 = 0. Solve 32*o = -2*b + n*o + 8, 12 = 3*b + 2*o for b.
4
Let y be ((-1)/(-6) - 142/(-12))*3. Suppose -11*z + 8 = -y. Solve z*u + 3*c = -28, -4*c - 11 = u + 9 for u.
-4
Let t = 5283 - 5280. Let v = 20 + -18. Solve -6 = -t*p + f, f - 5 + v = 0 for p.
3
Let f = -461 + 469. Let z be (-3)/(4 + -3) - (-13 + f). Solve 14 = 3*x + 5*r, -4*x + 0*r = -z*r + 16 for x.
-2
Let z = -58 - -52. Let q(y) = y**3 + 5*y**2 - 12*y - 32. Let f be q(z). Suppose f*b + 20 - 72 = 0. Solve -2*o = i + 2*o - b, 0 = o - 3 for i.
1
Let g = -201 - -208. Suppose 52 = 19*n + g*n. Solve -y = n*l + 4 - 14, 20 = -2*y + 4*l for
|
{
"pile_set_name": "DM Mathematics"
}
|
4370560*r**3 - 4
Differentiate 157468*a*n + 2083*a + 252*n + 2156963 wrt a.
157468*n + 2083
What is the third derivative of 13961610*c**4 - 2*c**3 - 430*c**2 - 25*c - 2133?
335078640*c - 12
Find the second derivative of -23*h**3*s + 101777*h**2*s - 3*h*s + 263335*h - s + 2 wrt h.
-138*h*s + 203554*s
Find the third derivative of 2014443*c**4*z**2 - 2*c**3*z**2 - 3*c**2*z**2 - 3*c**2*z - 4339*c*z**2 - 13*z wrt c.
48346632*c*z**2 - 12*z**2
What is the second derivative of 15111*c**2*k*p + 397*c**2*k - 99*c*k*p + 13*c*k - 2*c + 2*k - 1 wrt c?
30222*k*p + 794*k
What is the second derivative of 64955*h*o**2 - 600*h + 465*o**2 - 89817*o wrt o?
129910*h + 930
Differentiate 5826989*j**4 - 89324869 wrt j.
23307956*j**3
Find the second derivative of -32*o**3*r**2 - 18*o**3*r - o**3 + 6*o**2*r**3 - o**2 - 76*o*r + o + 227483*r**2 + 5939 wrt r.
-64*o**3 + 36*o**2*r + 454966
What is the second derivative of 2*r**5 + 9544702*r**2 - 22415468*r?
40*r**3 + 19089404
What is the second derivative of 6793*j**3 - 2*j**2 - 2*j - 12061103 wrt j?
40758*j - 4
What is the third derivative of -37*d**3*j**2 - 344517*d**3*j + 8*d**3 - 1033*d**2*j - 5*d*j**2 - 996*j**2 - 2 wrt d?
-222*j**2 - 2067102*j + 48
Find the second derivative of -77242053*f**3 - 24003017*f wrt f.
-463452318*f
What is the second derivative of 769776972*z**2 + 329285214*z wrt z?
1539553944
What is the first derivative of 3*p**2*t**2 + 231626330*p**2 - 18283081*p*t**4 wrt t?
6*p**2*t - 73132324*p*t**3
Find the third derivative of -g**5 - 23*g**4 - 782872*g**3 + 14515831*g**2 + 3*g - 1 wrt g.
-60*g**2 - 552*g - 4697232
Find the first derivative of 22006*a*t**3 - 1134*a*t - 55835442*t**3 wrt a.
22006*t**3 - 1134*t
Find the third derivative of 825803202*n**4 + 12258*n**2 + 6*n - 211 wrt n.
19819276848*n
What is the third derivative of 466449389*n**3 - 117511449*n**2 - 3 wrt n?
2798696334
What is the first derivative of -172529777*l*n**2 + 31642873*n**2 wrt l?
-172529777*n**2
What is the second derivative of h**2*p + 8618920*h**2 - 8351*h*p - 2*h - 14*p - 7 wrt h?
2*p + 17237840
Find the second derivative of -19*j**4 - 10289*j**3 - 6*j**2 - 698050*j + 1 wrt j.
-228*j**2 - 61734*j - 12
Find the third derivative of 48448*r**6 + 2*r**4 - 27*r**3 + 18708748*r**2 wrt r.
5813760*r**3 + 48*r - 162
Differentiate 282870*c**4 - 24*c**3*w**3 - 29*w**3 - 2*w**2 - 2*w + 15777 wrt c.
1131480*c**3 - 72*c**2*w**3
Differentiate 2844753*v**3 - 13*v*y - 86764920*y with respect to v.
8534259*v**2 - 13*y
Find the third derivative of -918548059*a**3 + 457109264*a**2 + a - 2.
-5511288354
What is the third derivative of w**6 - 47615279*w**4 + 8272690*w**2?
120*w**3 - 1142766696*w
What is the first derivative of -53307*v**2 + 576*v + 1155862127 wrt v?
-106614*v + 576
What is the second derivative of -159*h**2*j**3 - h**2*j + 72*h**2 + h*j**3 - 2*h*j - 2180*j**3 - 155*j**2 - 2 wrt h?
-318*j**3 - 2*j + 144
Find the first derivative of -46339131*z + 60948872.
-46339131
Differentiate -s*u**2 + 566655*s*u*v - 3*u**2*v - 996044*u**2 - u*v wrt s.
-u**2 + 566655*u*v
Find the second derivative of -2*i**3 - 105253*i**2 + 3462*i - 645.
-12*i - 210506
What is the third derivative of -16*l**4 + 1185850*l**3 - 148*l**2 + 9*l + 689 wrt l?
-384*l + 7115100
What is the derivative of -4914278*z - 101324530?
-4914278
Differentiate 55838295*u - 105467842.
55838295
Find the first derivative of 1479*n**4 + 2*n**2 + 4571*n - 137009630.
5916*n**3 + 4*n + 4571
Find the third derivative of 598042461*h**6 + 2*h**5 - 47102554*h**2 - 3*h + 1.
71765095320*h**3 + 120*h**2
Differentiate 18057*b**3 - 40*b**2 + 12831970 wrt b.
54171*b**2 - 80*b
What is the derivative of 4172884*t - 3585387 wrt t?
4172884
Find the third derivative of -23*k*q**4 - 36378*k*q**3 + 1120*k*q**2 + 3*k - q**4 - 11*q - 11 wrt q.
-552*k*q - 218268*k - 24*q
What is the second derivative of 8024*n**5 - 1273*n**4 - n**3 - 211950099*n wrt n?
160480*n**3 - 15276*n**2 - 6*n
Differentiate y**2 + 6825537*y - 41398953 wrt y.
2*y + 6825537
What is the first derivative of -64692593*a**2 - 78596640?
-129385186*a
Differentiate 133503245*m - 91816689 wrt m.
133503245
What is the second derivative of -47160235*o**2 - o + 5927485?
-94320470
Find the third derivative of -10096256*w**4 - 54149520*w**2.
-242310144*w
What is the third derivative of 30275256*a**3 - 19117881*a**2?
181651536
Differentiate 113*o*s**2 - 2512*o*s + 310*o + 686609371*s**2 + 2 wrt o.
113*s**2 - 2512*s + 310
Find the second derivative of -2*q**2*v*x**2 - 6*q**2*x**2 - 6339*q**2*x + q*v*x**2 + q*v*x + 62*q*v + 2*q*x**2 - q*x + 8*v*x**2 + 32*v*x wrt q.
-4*v*x**2 - 12*x**2 - 12678*x
What is the second derivative of -10369185*q**2 + 12394555*q wrt q?
-20738370
Differentiate m**4 - 114*m**3 + 418*m + 5139821 with respect to m.
4*m**3 - 342*m**2 + 418
What is the derivative of 135*j*l**2 + 112433*j + 5308*l**3 - 2*l**2 - 16 wrt l?
270*j*l + 15924*l**2 - 4*l
Find the second derivative of -514074604*l**2 + 15552*l - 3321 wrt l.
-1028149208
Differentiate -10920586*f*g + 5576092*f wrt g.
-10920586*f
Find the third derivative of -340311*b**6 + 3*b**4 + b**2 + 3926*b + 271 wrt b.
-40837320*b**3 + 72*b
What is the second derivative of -158*j**2*l**3 + 1036*j**2*l**2 + 29*j**2 + 6*j*l**3 + 56*j*l**2 - 2*l**3 + 2*l**2 - 72*l - 3 wrt j?
-316*l**3 + 2072*l**2 + 58
Find the second derivative of -170*s**3*w**2 - 71630282*s**3*w - 4*s**3 + 671864*s**2*w**2 wrt w.
-340*s**3 + 1343728*s**2
What is the third derivative of 50320629*f**3*z**3 - 2*f**3 + 4447*f**2*z**2 - 22*f wrt z?
301923774*f**3
Find the third derivative of 407204*i**5 + 51*i**4 - 149*i**2 + 352*i + 1 wrt i.
24432240*i**2 + 1224*i
What is the second derivative of d**3*j*w**3 - 405421*d**2*j**2*w**3 + 9386*d*j**2*w**2 + j**2*w**2 + 68*w**3 wrt d?
6*d*j*w**3 - 810842*j**2*w**3
Find the second derivative of 3*y**4 + 4*y**3 + 5278*y**2 + 2585*y + 2083.
36*y**2 + 24*y + 10556
Find the third derivative of 132299*w**5 - 2*w**4 - 41*w**3 - 9952298*w**2.
7937940*w**2 - 48*w - 246
What is the first derivative of -4523752*t + 23986215 wrt t?
-4523752
Find the first derivative of 35980*h**2 - 1509*h + 119428183.
71960*h - 1509
Differentiate -f**3*p**3 - 202*f**3*p*x - 9*f**2*p**2 + 206*f*p**3 - 32*f*p**2 + 16396*p**3*x + 21*p**3 - 3*p with respect to x.
-202*f**3*p + 16396*p**3
Find the third derivative of 58*t**3*v**3 + 18407*t**3 - 115*t**2*v**3 - 9*t**2*v + 3*t*v**3 - 7*t*v**2 - 5*v**3 wrt t.
348*v**3 + 110442
What is the third derivative of 69968701*y**3 + 2384130*y**2 + 2 wrt y?
419812206
What is the third derivative of 2629358*v**3 + 35*v**2 - 475*v + 16?
15776148
What is the third derivative of -29*a*j*z**3 - 1540*a*z**3 - 58*a*z**2 + 2*j*z**3 + 2*j*z + 2*j + 2*z**3 + 1362 wrt z?
-174*a*j - 9240*a + 12*j + 12
What is the derivative of 84*m**2*n*v**2 + m**2*v**2 + 3*m**2 - 6*m + 138567*n*v**3 - 1261*v**3 + 29*v**2 wrt n?
84*m**2*v**2 + 138567*v**3
Differentiate 4881*t**2 - 2891*t - 43129205 with respect to t.
9762*t - 2891
Differentiate 271*q**2*w*z - 10125*q*w**3*z - 7*q + 15904*w**3*z - 52*w**3 - 25*w**2*z - 2*w**2 + 2*z + 2 wrt q.
542*q*w*z - 10125*w**3*z - 7
What is the second derivative of 12470526*l**2 + 13182311*l wrt l?
24941052
What is the second derivative of 845*f**4 - 711*f**3 - 15*f**2 + 300873*f - 2 wrt f?
10140*f**2 - 4266*f - 30
Find the first derivative of 5*a**2*d**3 - 230054*a*d**3 - 1821315*d**3 wrt a.
10*a*d**3 - 230054*d**3
What is the third derivative of 463660*o**5 + 38*o**3 + 540*o**2 + 4*o + 38887 wrt o?
27819600*o**2 + 228
Differentiate 10*b**4*f**2 - 6601818*b*f**2 + 270*f**2 - 227666*f wrt b.
40*b**3*f**2 - 6601818*f**2
Find the second derivative of 41101*g**5 + 6*g**4 - 694*g**3 + 38*g + 322624 wrt g.
822020*g**3 + 72*g**2 - 4164*g
Differentiate -14938558*b**3*k - 1154580*b**3 - b + 2 with respect to k.
-14938558*b**3
What is the third derivative of -88*c**4 + 116354*c**3 + 3*c**2 - 202616*c + 152?
-2112*c + 698124
Find the first derivative of 5*s**3 - 9364*s**2 - 64*s + 12007487.
15*s**2 - 18728*s - 64
Find the first derivative of -60*f*l**2 + 2*f*l - 2826*f - 1461569*l**2 wrt f.
-60*l**2 + 2*l - 2826
Find the second derivative of 8078019*x**2 + 66789954*x wrt x.
16156038
What is the second derivative of -17489*i**5 - 114*i**3 - 5*i + 2869478 wrt i?
-349780*i**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
o**4.
56237*o**4
Expand -2790 + 2790 + 19*f + f**2 - f**3 + (7 + 35 - 63)*(2*f**3 - 5*f**3 + f**3) + 3*f - 3*f + f**3.
42*f**3 + f**2 + 19*f
Expand (-2 + x + 1 - 2)*(-530*x + 5 + 1005*x - 593*x).
-118*x**2 + 359*x - 15
Expand ((-3 + 4 + 1)*(-3*t**3 + t**3 + 4*t**3) + 20*t**3 - 3*t**3 + 61*t**3)*(-37*t + 2*t - 36*t + (5*t - 5*t - 2*t)*(-2 - 3 + 3)).
-5494*t**4
Expand -2*t**5 - 6*t**4 - 124*t + 126*t + 5*t**4 + (2*t**5 - 2*t**5 + 2*t**5)*(62 - 236 + 122).
-106*t**5 - t**4 + 2*t
Expand g - g**3 - g + (-g - g + 0*g)*(-g + g - 3*g**2) + 4*g**3 + 2*g**3 - 4*g**3 + 35*g - 25*g - 21*g**3 + 27*g**3.
13*g**3 + 10*g
Expand (-2*g - 1 + 1)*(2*g - 4 + 4) - 38*g + 112*g**2 + 38*g + (-5*g + 4*g + 8*g)*(3*g + 2*g - 3*g).
122*g**2
Expand (42 + 7*t - 42 + (-3 + 5 - 1)*(-2 - t + 2) - 3*t - t + 6*t - 5*t + 3*t + 3*t - 16 + 11*t + 16)*(-2*t - t + 2*t)*(6*t**3 + 5*t**3 - 2*t**3).
-180*t**5
Expand (d + 0*d - 2*d)*(14*d + 15*d - 11 - 2*d**2 - 17*d).
2*d**3 - 12*d**2 + 11*d
Expand (1638*u - 8242 + 8242)*(-3*u + 0*u + 2*u)*(3*u - 3*u - u).
1638*u**3
Expand -2*l + 7*l + 2*l + (2 + 0 - 1 - 3*l)*(-33 - 38 - 28) - 2*l + 5*l - l.
306*l - 99
Expand (4*n**4 - 6*n**4 + n**4)*(180*n + 640*n + 969*n)*(4 - 3 - 3).
3578*n**5
Expand (1 - 22 + 7)*(-1 + 2 + 1)*(3*u**2 + 11*u**2 + 12*u**2).
-728*u**2
Expand (-6*v**2 + 4*v**2 + 0*v**2)*(-1 + 3 - 1) - 58 - 9*v**2 + 58 + 12*v**2 + v**2 - 45*v**2 + (1 - 5 - 1)*(-3 + 1 + 3*v**2 + 0).
-58*v**2 + 10
Expand (-8*b - 3*b - 10*b**4 + 121*b**2 - 11*b**2 + 11*b)*(2 - 4*b - 2).
40*b**5 - 440*b**3
Expand (2*r + 2*r - 2*r)*(-7*r + 2*r + 3*r) + 0*r**2 - r**2 + 3*r**2 + 4 - 14*r**2 - 4 + (-r + 4*r - 5*r)*(15*r - 90*r - 111*r).
356*r**2
Expand (4 + 27 - 1)*(-4 - 1 + 4)*(-15*x**3 - 9*x**3 + 54*x**3)*(7*x - 2*x + x).
-5400*x**4
Expand -224*a**2 - 634*a**2 - 195*a**2 + (-2*a - 2*a + 2*a)*(2*a + 0*a - 4*a) + 0*a**2 + 3*a**2 - a**2.
-1047*a**2
Expand (7*o - 87 + 87)*(4*o**3 - o**3 + 0*o**3 + (0 + 0 + 2*o**3)*(-2 + 5 - 1)) + (2*o + 2*o - 2*o)*(o**3 + o**3 + 0*o**3).
53*o**4
Expand (1441 + 1357 + 22 + 1719 - 924)*(-3*y**2 + 3*y**2 - y**5).
-3615*y**5
Expand -6*g**5 - 6*g**5 - 3*g**5 + (-3*g + 20*g - 6*g)*(-3*g**3 + 7*g**4 + 3*g**3).
62*g**5
Expand (3*i - 2*i + i)*(0 + 0 + i)*((-3 + 2 - 1)*(3260 - 3260 + 486*i) + 0*i + 3*i - i).
-1940*i**3
Expand (d + 2*d - 2*d)*(-73 - 36*d**2 + 60*d**2 - 26*d**2)*(-3*d - 4*d + 6*d).
2*d**4 + 73*d**2
Expand (-48 - 54 + 30)*(-8*h + 2*h - 2*h**4 + 69*h**5 - 70*h**5).
72*h**5 + 144*h**4 + 432*h
Expand (-7 + 4 + 11)*(196 - 55*c**2 - 196) + (3*c - 3*c + c)*(-2*c + c - c).
-442*c**2
Expand (54*x - 83*x + 68*x)*(-15 - 10*x**2 + 26 + 2*x - 16).
-390*x**3 + 78*x**2 - 195*x
Expand (2 - 1 - 3)*(3*w - 5*w + w) + (-11 + 399 - 1)*(4 - 4 + 2*w).
776*w
Expand (2 - 2*s - 2)*(-2 - 2 + 3)*(-3*s + 49159*s**2 - 49173*s**2 + 2*s + 12).
-28*s**3 - 2*s**2 + 24*s
Expand (-21 + 13 - 41)*(-62*c**5 - 36*c**5 + 78*c**5) + c**5 + c**5 - 5*c**5.
977*c**5
Expand (13 + 110 - 13)*(-4*n + n - 5*n + (-4*n + 0*n + 5*n)*(5 - 1 - 2)).
-660*n
Expand (1 - 1 - 3*n**4)*(n + 2*n - 2*n) - 374*n**2 + 374*n**2 + 3332*n**5 + n**5.
3330*n**5
Expand (-60 - 54*t + 60 + t**5)*(-22 + 21 - 23).
-24*t**5 + 1296*t
Expand -4*i**2 + 2*i**2 + 0*i**2 + (-4*i + 4 - 4)*(-82 - 521 - 64)*(9 + 3*i - 9).
8002*i**2
Expand (51*b - 3 + 4*b - 28*b)*(-3*b + b + 7*b)*(6 + 4*b - 6).
540*b**3 - 60*b**2
Expand (-16 + 3 - 19 + ((4 - 2 - 3)*(3 - 2 - 3) + 0 + 0 + 1)*(-2 - 2 + 2) + 2 - 5 - 3)*(0*b**4 - 2*b**4 - 2*b**4).
176*b**4
Expand (-3798*d - 1625*d + 622*d)*(-1 + 3 - 1)*(-6 - 1 + 2).
24005*d
Expand ((-o + 3*o - 3*o)*(-4 + 1 + 1) + 7*o - 5*o + 9*o)*(-4*o + 2 - 2)*(-24*o**3 + 11 - 11).
1248*o**5
Expand -346*n**2 + 164*n**4 + 240*n**4 - 405*n**4 + (4*n + 2*n - 5*n)*(-5*n**3 + 3*n**3 + 4*n**3).
n**4 - 346*n**2
Expand (3 + 4 - 5)*(-2*b - b + 0*b) + 4*b - 3*b + b + 2*b - 2*b + 3*b + (1 + 2 - 4)*(-4*b + 5*b - 3*b) - 35*b - 28*b - 7*b.
-69*b
Expand (-43*q**2 - 37*q**2 + 78*q**2)*(8*q**3 - 17*q**3 - 4 + 2).
18*q**5 + 4*q**2
Expand (-2*p + p**2 + 2*p)*(-4 - 2*p**2 + 4) + p**4 + 0*p**2 + 0*p**2 + 0*p**4 - p**4 - 2*p**4 - 6*p**2 - 5*p**4 + 17*p**2 - 4*p**2.
-9*p**4 + 7*p**2
Expand (-2*f**3 - f**3 - 3*f**3 + (1 - 1 + 2*f)*(-3 + 3 + 2*f**2))*(-3*f + 2*f - 4*f + (2*f - f + 0*f)*(-10 + 14 + 14)).
-26*f**4
Expand (3*l - 3*l - 2*l)*(l - 4*l + l) + l - l + l**2 - 1 + 1 + l**2 + 4*l**2 - 6*l**2 - l**2 + 3*l + 2*l**2 - l + 0*l**2 + 2.
5*l**2 + 2*l + 2
Expand (4*u**3 - 2*u**3 + 0*u**3)*(-2*u + u + 3*u) - 89*u**4 + 537 - 1068 + 533.
-85*u**4 + 2
Expand (-3*f**2 - 3*f**2 - 4*f**2)*(f - f + f**2) + (-2*f + 0*f + 0*f)*(-33*f**3 - 10*f**3 - 5*f**3).
86*f**4
Expand ((-u**2 + 1 - 1)*(3 + 0 - 1) - 3*u**2 + 0*u**2 + u**2)*(1060*u**2 + 3757*u**2 - 127 + 127).
-19268*u**4
Expand (-k + 3*k**2 - 2 - 4*k**2 + 3)*(22*k - 205*k + 779*k).
-596*k**3 - 596*k**2 + 596*k
Expand (1 - 1 - 1)*(-2652*s - 3 - 61*s + 3).
2713*s
Expand (0 + 0 + 5*b + b**3)*((-1 + 1 - 2*b)*(2 + 0 + 0) + (-5 + 4 + 5)*(2*b - 3 + 3) - 3*b + 5*b + 0*b).
6*b**4 + 30*b**2
Expand (-3*q + 3*q + 3*q**2)*((1 + 6 - 3)*(-4 + 0 + 3) + 2 - 1 - 3 - 3 + 2 + 2 + 94 - 161 + 225).
459*q**2
Expand (3*i - 2*i + 2*i)*(1178 - 941 - 762)*(1 + 0 - 2).
1575*i
Expand 60212*h**3 - 60211*h**3 + 71 + 13*h**4 - 4*h**4 + (-2 + 2*h**2 + 2)*(3*h**2 - 2*h**2 + h**2).
13*h**4 + h**3 + 71
Expand ((0 - 1 + 3)*(0 + 0 - 1) - 2 - 3 + 2)*((z**3 + 3*z**3 + 2*z**3)*(-1 + 1 + 3*z) + 6*z**3 - 6*z**4 - 6*z**3).
-60*z**4
Expand (-4*q - 3*q + 5*q)*((-1 - 1 + 4)*(1 - 1 - 2) + 2 + 23 - 5)*(-9*q - 3*q - 3*q).
480*q**2
Expand 19*w**2 + 4*w**2 + w**2 + (0 + 0 + 2*w)*(-46*w + 85*w + 3*w).
108*w**2
Expand -2*k + k + 3*k - 4*k + k + k + (-3 + 0 + 1)*(2*k - 4*k + 0*k) + 4*k - 4*k - k - 7468*k - 31960 + 31960.
-7465*k
Expand (1024*o - 1431*o - 2146*o)*(-4*o + 2 + 2*o**3 + 4*o).
-5106*o**4 - 5106*o
Expand (-1100 - 416 + 416 + 158 - 1408)*(0*a**5 + 8*a**5 + 3*a**5).
-25850*a**5
Expand (12296*l - 25449*l - 8834*l)*(2 - 2 - 2).
43974*l
Expand 3*r**5 + 5*r**5 + 8*r**5 + (3*r**3 + r**3 - 3*r**3)*(-2*r**2 - 1 + 1) + 6*r**5 - 3*r**5 - 2*r**5 + (-2*r**3 + r**3 - 5*r**3)*(4*r**2 - 5*r**2 - 5*r**2).
51*r**5
Expand (6*y**4 - 4*y**4 + 6*y**4)*(-26 - 128 + 287)*(-3 + 2*y + 3).
2128*y**5
Expand ((-2 + 1 - 1)*(-1 + 1 - 1) - 11 + 20 + 20)*(-7*o - 5 + 5).
-217*o
Expand (-1 + 0 - 1)*(-x**3 - x**3 + 3*x**3) + (13*x + 9*x - 3*x)*(x**2 - 2*x**2 + 0*x**2 - 2 + 2 + 2*x**2 + (4 - 4 + 2)*(2*x**2 - 2 + 2) + 0 - 2*x**2 + 5 - 7).
55*x**3 - 38*x
Expand 7 - 7 - 9*y**2 + 3 - y**2 - 3 + (0*y - 4*y + 0*y)*(0*y + 6*y - 3*y) - 20*y**2 + 217 - 217.
-42*y**2
Expand (-j**2 - 2*j**2 + j**2)*(339680 + 13338*j**3 - 339680).
-26676*j**5
Expand (144 - 51 + 162)*(-p - 3*p - 41*p).
-11475*p
Expand -f**4 + f**4 + 4*f**4 + (3*f - 3*f - f)*(25000*f**2 - 312*f**3 - 25000*f**2) - 1 + 1 + f**4.
317*f**4
Expand (-2 + 5 + 0)*(-h - 3 + 3) + (-42 + 6*h + 18 + 27)*(5 - 5 - 3).
-21*h - 9
Expand (1 - 6 + 1)*(-30*u**3 - 48*u**3 + 0*u**3).
312*u**3
Expand -404*t**3 - 65*t**3 - 235*t**3 - 3*t**3 - 2*t**3 + t**3 + (4*t + 0*t - 6*t)*(-3*t**2 + 2*t**2 + 0*t**2).
-706*t**3
Expand (-10 + 1 + 1)*(-374 - 148 - 29)*(4*s**4 + 0*s**4 - 3*s**4).
4408*s**4
Expand -14*k + 5*k**4 + 14*k + (-2*k**2 - 2*k**2 - k**2)*(-k**2 - k**2 + 0*k**2) + 33 - 13*k**4 - 33.
2*k**4
Expand (2*z**2 + z**2 - z**2 + (-z**2 + 5*z - 5*z)*(1 + 7 + 0) - 4*z - 6*z**2 + 4*z)*(-3*z**2 + 3*z**2 - z**2).
12*z**4
Expand (0*w**3 + w**3 + w**3)*(-3*w**2 + 2*w**2 + 3*w**2) + (-w + 3*w - 4*w)*(-11490*w**4 - 5242*w**4 + 6460*w**4).
20548*w**5
Expand (3*f**3 - f**3 - f**3)*(3 - 8*f + 144*f + 5 - 4).
136*f**4 + 4*f**3
Expand (-3 + 2 - 1)*(0*o**2 + 0*o**2 + 2*o**3) + 0*o**3 + 4*o**3 - 2*o**3 + 2 + 3*o**3 - 2 + (-3*o + 4*o + 0*o)*(o**2 + 2 - 2) + 56*o**3 + 6*o**3 + 15*o**3.
79*o**3
Expand (20*w - 8 + 8)*(-815*w - 812*w - 839*w + 2493*w - 27).
540*w**2 - 540*w
Expand (-8254 + 9083 - 17934)*(-4*b**5 + 5*b**5 - 3*b**5).
34210*b**5
Expand (-1 - 1 + 3)*(2*v**2 + 0*v**2 - v**2) + 0*v**2 - 53062*v - 2*v**2 + 53060*v.
-v**2 - 2*v
Expand (-1 - y**2 + 1)*(-5*y**2 + 3*y**2 + 3*y**2) + 111*y**4 - 4004833 - 7*y**2 + 4004833.
110*y**4 - 7*y**2
Expand 1 - 1 - 7*d + (5*d + 24*d - 14*d)*(1 + 2 + 7).
143*d
Expand (4*l**3 - 2*l**5 - 4*l**3)*(7 - 9 + 4 + (-2 - 1 + 4)*(-4 + 6 - 9) - 1 - 5 + 1).
20*l**5
Expand (6 - 20*q - 2 - 6)*(23*q + 270 - 270) + 2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
(i) = -2 - 1851782*i - 1181550*i - 2. Let g be (2/4 - 0)*6. Let u be c(g). What is u rounded to the nearest 1000000?
-9000000
Let m = 32 + -31.9951. What is m rounded to 3 dps?
0.005
Let d(q) = q**2 + q**2 + 1 + q**3 + 0*q**3 - 2*q. Let o be d(-2). What is o rounded to the nearest integer?
5
Let p = -80 + 9. Let w = p - -70.9909. Round w to three dps.
-0.009
Let h = -2 - 10.2. Let d = h + 13.97. Let n = 1.7699913 - d. Round n to six dps.
-0.000009
Let v(g) = 81*g**2 - 20*g - 16. Let s be v(16). Round s to the nearest 1000.
20000
Let n = -0.1628 + 0.17. Round n to three dps.
0.007
Let v = 233221486289.1 - 233221380078.1939929. Let d = v - 106211. Let p = -0.094 - d. Round p to 6 dps.
-0.000007
Let m = 1.030216 - 0.94021. Let g = m + -0.09. Round g to five decimal places.
0.00001
Let s = -5 - -4.5. Let v = 0.50000095 + s. Round v to seven decimal places.
0.000001
Let m = 0.16 + -0.1649. Round m to 3 decimal places.
-0.005
Let h = 1071.5 - 1073.4012. Let w = -1.9 - h. Round w to 4 dps.
0.0012
Let j = -319.0203 + 319. What is j rounded to 3 decimal places?
-0.02
Let l = -3 - -2.6. Let h = 0.39999904 + l. What is h rounded to seven dps?
-0.000001
Let d = 3.1 + -3.09848. What is d rounded to four decimal places?
0.0015
Suppose -4*f = -f - 360000. Round f to the nearest 100000.
100000
Let t(u) = -112*u**2 + 8*u - 6. Let j(n) = 223*n**2 - 16*n + 11. Let k(x) = -3*j(x) - 7*t(x). Let h be k(-7). What is h rounded to the nearest 1000?
6000
Let z = -0.081 - -0.044. Round z to 2 dps.
-0.04
Let n = 10.21 + 36.49. Let q = -36 + n. Let y = -12 + q. Round y to 0 decimal places.
-1
Let h = -0.1 - -0.058. What is h rounded to 2 decimal places?
-0.04
Let i = 5.3 - 72.3. Let s = i - -45. Let q = 21.99945 + s. What is q rounded to 4 dps?
-0.0006
Let a = 7781.84418 - 7773.84417982. Let g = -8 + a. What is g rounded to seven decimal places?
0.0000002
Suppose -56 = -5*j - 2*a, 5*a - 35 = j - 3*j. Let d = j - 8. Suppose -d*x = -7*x - 8600000. Round x to the nearest one hundred thousand.
-1700000
Let t = 230.59 - 232. Round t to one decimal place.
-1.4
Let b(z) = z**3 - 5*z**2 - 5*z + 2. Let d be b(6). What is d rounded to the nearest ten?
10
Let v = 8.500397 + -8.5. Round v to 4 decimal places.
0.0004
Let k = -0.7509188 + 305.7648188. Let m = k - 305. Round m to 3 decimal places.
0.014
Let s = 3.617 - -0.243. Let r = 3.3 - s. Round r to 1 decimal place.
-0.6
Let d = -1.81 + -0.19. Let h = d - -11.6. Round h to the nearest integer.
10
Let h = 65 - 65.106. Let f = -0.11 - h. Round f to 3 decimal places.
-0.004
Let d = 5010 - 4586.4. Let l = -352 + d. Let z = -78 + l. What is z rounded to 0 decimal places?
-6
Let k = -52.23771955457 + 24852765.23830955457. Let f = k + -24852570. Let v = f - 143. Round v to four dps.
0.0006
Let h = 0.13 - 0.206. Let x = h - -0.137. Round x to 2 dps.
0.06
Let u be (-16500)/((-4)/((-480)/(-9))). Let j be u/(-2)*(0 + -10). Round j to the nearest 1000000.
1000000
Let f = 0.052 - 0.051929. Round f to 5 dps.
0.00007
Let c(v) = v - 3. Let g be c(7). Suppose 4 = -g*t - 5*b, 3*t + t = 3*b + 28. Suppose d + 126 = t*d. Round d to the nearest ten.
40
Suppose -5*r + 8*r = 438. Round r to the nearest 10.
150
Let a = -1637 + 1638.907. Let t = a - 2.01. Let o = -7.003 - t. Round o to 0 decimal places.
-7
Let v = 50.7 - 47. What is v rounded to zero decimal places?
4
Let u be (-4)/6 - (-214)/6. Suppose -3*l = -4*l + u. Round l to the nearest ten.
40
Suppose 7*z - 3*z = 35200000. Suppose 4*v - z = -0*v. What is v rounded to the nearest one hundred thousand?
2200000
Let z = -3 + 3. Suppose z = -0*k + 4*k - 12. Let l(f) = -1544445*f**2 + f + 2. Let p be l(k). Round p to the nearest 1000000.
-14000000
Let m = 0.07 + -0.37. Let l = 102 + -97.9. Let n = m - l. What is n rounded to the nearest integer?
-4
Let j = -39 - -37.88. Let x = j + 48.12. Let f = -46.999942 + x. What is f rounded to five decimal places?
0.00006
Suppose 2*c - 4*c = -54. Let q(l) = 3*l + 15*l**2 - 6*l**2 + c*l**2 - 3. Let d be q(3). Round d to the nearest one hundred.
300
Let r = 6.65 + -7. Let j = -0.1 - r. Let f = -0.24922 + j. Round f to four decimal places.
0.0008
Let r = 19916848450 - 19916840263.349999. Let v = r - 8186.7. Let t = v - -0.05. What is t rounded to five dps?
0
Let x(a) = 10*a - 5. Suppose -2*y + 12 = -5*y. Let u be x(y). Round u to the nearest ten.
-50
Suppose y + 0*y - 3 = 0. Suppose -12 = y*c + 4*a, 3*a + 9 = -2*c - 0. Let j be -1*(2 + c - 2). What is j rounded to 7 decimal places?
0
Suppose j + 3*j - 760 = -5*i, 0 = -5*i. What is j rounded to the nearest 100?
200
Let s = -30946.928 - -30938.9564852. Let k = s + 5.67151521. Let r = 2.3 + k. Round r to 7 dps.
0.0000004
Let w = 74 + -73.99815. Round w to four decimal places.
0.0019
Let o = 6 + -6.1. Let p = 0.4 - o. Let z = p - 0. Round z to 0 decimal places.
1
Suppose 4*k = -11 + 27. Suppose 2*v + 0*v = 8, 0 = k*q + v. Let f be (-123)/(-2)*374 + q. What is f rounded to the nearest 10000?
20000
Let w = 2.3 - 2.384. Let g = w + 46.084. Let i = -44.84 + g. What is i rounded to 1 dp?
1.2
Let d(u) = -107*u**3 - 4*u**2 + 5*u. Suppose 0*o = -3*o + 24. Let t be d(o). Round t to the nearest 10000.
-60000
Let r(y) be the third derivative of -y**2 + 1/6*y**3 - 1367/40*y**6 + 0 + 0*y**4 + 0*y - 1/30*y**5. Let s be r(-1). Round s to the nearest one thousand.
4000
Let y = -22 + -31. Let n = -462.1 + 515.56. Let d = y + n. Round d to one decimal place.
0.5
Suppose -3*r + 7731 = 33831. Round r to the nearest 1000.
-9000
Let w = 4.5 - 4. Let y = 1.89 - 1.6. Let o = y - w. What is o rounded to one decimal place?
-0.2
Suppose 0 = r + r - u + 198, -3*r = 2*u + 311. Let a = r - -44. Round a to the nearest ten.
-60
Let t(b) = b + 5*b - 5*b + 0 + 6. Let c be t(-6). What is c rounded to 2 decimal places?
0
Let c be 4 + -7 + (-1)/(-1). Let g be -11000000 + c/(-8)*0. Round g to the nearest 1000000.
-11000000
Let z = 323 + -103. What is z rounded to the nearest 100?
200
Let a(p) be the second derivative of -9/2*p**2 + 0 + 3*p + 2/3*p**3. Let q be a(7). What is q rounded to the nearest 10?
20
Let l = 3.69 + -0.19. What is l rounded to the nearest integer?
4
Suppose -3*w + 4*w - 2 = 0. Suppose -7*a + 5*l = -3*a - 25, w*a - 10 = 2*l. Let s be 1 - 180002/2 - a. Round s to the nearest 10000.
-90000
Suppose -t + 20700 = 8*t. Round t to the nearest 1000.
2000
Let t = 391 - -1409. What is t rounded to the nearest 1000?
2000
Suppose 0 = 3*d + 12, 6*f = 2*f + d + 12. Suppose -f*i = -i. Suppose b + 7322 + 678 = i. What is b rounded to the nearest ten thousand?
-10000
Suppose 7310 = 4*z - z + y, -4*z = 5*y - 9765. Let o = z - 1295. Round o to the nearest 100.
1100
Suppose 0 = -k + 2*k - 3*d, 0 = -5*k + 2*d + 26. Let q(a) = 8*a - 6*a - 12*a. Let t be q(k). Round t to the nearest 10.
-60
Let d = 0.3 - 1.9. Let t = 9.6 + d. Let f = 8.36 - t. Round f to 1 dp.
0.4
Let z = -32 - -28.4. Let m = z + -14.4. Let r = m - -16.6. What is r rounded to the nearest integer?
-1
Let t = -0.35062 - -0.35. Round t to 4 dps.
-0.0006
Let y = -0.33 - -33.33. Let m = 1240647.2 + -1240680.200108. Let t = m + y. Round t to 5 decimal places.
-0.00011
Let l = -2350.501 - -2348.851131. Let c = 1.65 + l. What is c rounded to 5 dps?
0.00013
Let j = 0.3 + 0. Let p = j - 0.30000058. What is p rounded to 7 dps?
-0.0000006
Let z = -0.06 - -7.06. Let d = 7.3 - z. Let s = 1.1 - d. What is s rounded to 1 decimal place?
0.8
Suppose 0*a + 4500000 = a. What is a rounded to the nearest 1000000?
5000000
Let s = -38125876 - -38125876.90000045. Let b = s + -0.9. Round b to seven dps.
0.0000005
Let y = 0.570563 - 0.0405653. Let t = y + -0.53. Round t to six decimal places.
-0.000002
Let f = -7 - -11. Suppose -2*s = -f - 2. Let a be (0 - 12875)*(s + -83). What is a rounded to the nearest one hundred thousand?
1000000
Let r = -0.0549 - 427.9451. Let z = -476.6 - r. Let f = -59 - z. Round f to the nearest integer.
-10
Let l = -28 + 28.00072. What is l rounded to 4 decimal places?
0.0007
Let n = -1.13 - -134.13. Let z = n - 133.87. What is z rounded to one decimal place?
-0.9
Let x = 4 - 1. Suppose 0 = -0*n + x*n + 93. Let z be -1 - (n*229 + -2). What is z rounded to the nearest 1000?
7000
Let b = -17 + 15.7. Let g = b - 0.9. Round g to zero decimal places.
-2
Let d = -3.4896 - 0.0204. Round d to one de
|
{
"pile_set_name": "DM Mathematics"
}
|
ch is the fourth biggest value? (a) j (b) 0.3 (c) -1 (d) h
c
Let f = 1896.7 - 2009. Let b = f + 105. Let r = b - -7. What is the fourth smallest value in r, -2/5, 5, -5?
5
Let f = -203.27 + 0.27. Let n = 202 + f. Which is the second biggest value? (a) 2 (b) 18 (c) n
a
Let d(n) = n**3 + 4*n**2 - 6*n. Let w be d(-5). Let q = 409/6314 - -3/451. What is the third smallest value in -2/5, 1/2, w, q?
1/2
Let l = 15554 - 15553.8. Which is the biggest value? (a) l (b) 0.5 (c) 0.1 (d) 0.06 (e) -0.1
b
Let g = -0.423 + -274.577. Let i = g + 274. Which is the smallest value? (a) -2/9 (b) i (c) -2/17 (d) -3
d
Let q = 13 - 17. Let h be 4*(4 + 8982/(-84)). Let v = -412 - h. Which is the second biggest value? (a) 7 (b) q (c) v
c
Let x be ((-280)/245)/(22/14). What is the third biggest value in x, 5, -6?
-6
Let w = -9.94 - -10.4. Let m = w + -0.46. What is the fourth smallest value in -0.07, m, -5, -5/6?
m
Let r(t) = 3*t**2 + 6*t - 22. Let z be r(-12). Let y be z/(-156) - (1 - 3 - 1). Let k = 0.2 - 0.6. Which is the second biggest value? (a) 2 (b) k (c) y
c
Let j = -45347/4 + 4128185/364. Let p = 17594/7 + -2518. Let y = j + p. What is the third biggest value in y, 1, 5/4?
y
Let z(v) = v**3 + 10*v**2 - 51*v - 327. Let x be z(-12). What is the second biggest value in 0.8, -0.07, x, -0.5?
-0.07
Let u = -0.083 - -0.583. Let s = 36 + -31. What is the fourth biggest value in 0.4, 4, s, u?
0.4
Suppose 0 = t + 2*t - 15. Let x = -37.294 - -34.294. Which is the second biggest value? (a) -2 (b) x (c) t
a
Let s = 5005 + -5005. Which is the third smallest value? (a) 2.1 (b) -3 (c) -0.2 (d) s
d
Let s = 6.2551 + -6.23. Let r = s + -0.3251. What is the third smallest value in r, 5/6, 8?
8
Let g be ((-3)/66)/((-23)/((-759)/(-6))). Which is the fifth smallest value? (a) 36 (b) g (c) 2/17 (d) 1/3 (e) 0
a
Let w = -29.78 + 29.79. Which is the smallest value? (a) -2/19 (b) w (c) -2 (d) 223 (e) 2
c
Let y = 1.375 - 51.375. Let g = 1 - -4. Which is the second biggest value? (a) -2 (b) g (c) y (d) -2/15
d
Let y = -3.89 + -0.11. Let w = 0.0955 - 0.3955. Let u = 165.4 - 165. What is the biggest value in u, w, y, 1?
1
Let m be ((-28)/84)/((-2)/(-276)). Let v = m + 48. Let u = 3.9 + 1.1. Which is the second smallest value? (a) -0.1 (b) u (c) v
c
Let o = -6 + 13. Let f = o - -4. Let m = 483 + -488. Which is the biggest value? (a) 0 (b) f (c) m (d) 0.5
b
Let j(b) = b - 1. Suppose -4*x + 3*a + 10 = -0*x, 5*x - 5*a = 15. Let o be j(x). Let w = 45 + -38. What is the third biggest value in -0.2, o, w, -2?
-0.2
Let r be ((-10)/6)/5*6. Let c be (((-12)/96)/(2/8))/(56/(-16)). What is the fourth biggest value in r, c, -0.4, 1.8?
r
Let s = -404.2 - -10.2. Let v = s + 389. What is the second smallest value in 0.5, 2/17, v?
2/17
Let y = -1112 + 1131. Let w = -4 + 45. Let k = -163/4 + w. Which is the third biggest value? (a) k (b) 2 (c) y
a
Let r(u) = -u**3 + 212*u**2 - 1237*u + 8. Let i be r(6). Suppose 4*v - 122 = -3*s, 5*s + 42 = -v + 2*v. Which is the smallest value? (a) -0.4 (b) v (c) i
a
Let v = 23.629 - 23.229. Which is the smallest value? (a) -2/3 (b) v (c) -560 (d) -2
c
Let b = 1846 - 1848. What is the biggest value in b, -1, 0?
0
Let i be (-4)/(-28)*40/(-460). Which is the second smallest value? (a) 4 (b) 0.2 (c) i (d) 24
b
Let z = -0.1982 - -0.6982. Let i be 1/19*1*-2. What is the smallest value in z, 3, i, 4?
i
Let i = 0.3 - -0.2. Let s = -754 - -748. What is the second smallest value in s, i, 0.3?
0.3
Let c = 18 + -17.3. Let v be (-6 + 1)*(-88)/10 - 3. Suppose -v*q + 44*q = -9. What is the biggest value in c, -3/2, q, -0.1?
c
Let x = -0.53 - -0.56. What is the third smallest value in 13/3, x, -5?
13/3
Let a = 0.18105 + -10.18105. What is the second smallest value in 1/2, a, -7, -17?
a
Let p = 1335 + -73427/55. Let d = -20213 + 20213.4. What is the third smallest value in p, d, -5?
d
Let b = 0.46 + -0.06. Let h = -0.063 - 92.937. Let s = h - -96. What is the second smallest value in b, s, 2/7, -2?
2/7
Let q = -2 + -3. Suppose 0 = -2*t - 4*s + 10, 0 = -3*t - 3*s + 5 + 1. Let u = 475 + -473. Which is the third biggest value? (a) q (b) u (c) t
a
Let v = -12 + 15. Let g be 12/(-24) + (-89)/(-2). Suppose 0 = 24*q - 28*q - g. Which is the second biggest value? (a) 1/2 (b) v (c) q
a
Let w = 20 - 17. Let m(x) = x**3 - 4*x**2 + x + 1. Let k be m(4). Let z = -83.8 + 84. Which is the third smallest value? (a) 0 (b) w (c) z (d) k
b
Let d = -0.0875 - 0.4125. Which is the second smallest value? (a) d (b) 61 (c) 1
c
Let h = -3269 - -3265. What is the biggest value in h, -0.177, -7?
-0.177
Let s = -15720 + 15719.8. Let g(j) = -6*j + 1. Let z be g(2). What is the second smallest value in s, z, 3/4?
s
Let f = -1/224 + -111/224. What is the third biggest value in 14, f, -83?
-83
Suppose s + 5*n - 51 = 0, 4*s - 5*n - 87 - 42 = 0. Suppose 3*a = -h - 22 + s, h = 4*a - 14. What is the biggest value in h, -0.3, 2/3?
h
Let l = -35.7 - 2.3. Let y = 133/17 + -1047/136. What is the biggest value in y, -0.4, l?
y
Let f(d) = 3*d**3 - 46*d**2 - 32*d + 12. Let x be f(16). What is the fourth biggest value in 0.1, -3/7, 0.13, x, -1/2?
-3/7
Let r(l) = 7*l**2 - 53*l + 24. Let v be r(7). Which is the biggest value? (a) 0.02 (b) 4/13 (c) 0.5 (d) v
c
Suppose -3*o + d - 22 = 0, 3*d = -4*o + 100 - 99. What is the fifth smallest value in -1, -6/7, o, 0, 2?
2
Let w = -433.47 - -438. Let f = -1.53 + w. Which is the second smallest value? (a) f (b) -2/19 (c) -3/5 (d) 1
b
Suppose -47*l + 37*l - 3500 = 0. Let y be ((-4)/6)/(l/150). Let n = 5.3 + -0.3. Which is the second smallest value? (a) n (b) -0.1 (c) y
c
Let s = 122 - 5. Let f = 309 - s. Let p be (-2*1/(-16))/((-32)/f). Which is the second biggest value? (a) 0.4 (b) p (c) -0.1
c
Let y be (13/11 + -1)/((-2226)/(-8162)). Which is the fourth biggest value? (a) 0.3 (b) y (c) -44/7 (d) -0.1
c
Let f = -297 - -102. Let z = 195 + f. What is the smallest value in 26/5, z, 3/8?
z
Let v = -0.8776 + 26.8776. What is the second biggest value in v, 4, 1/50?
4
Let w = 0.5172 + 258.4828. Which is the biggest value? (a) -0.3 (b) w (c) 2/19 (d) 2
b
Let q be (-352)/(-33) - 4 - 3 - 3. Which is the third smallest value? (a) q (b) 0 (c) -0.6 (d) 1/5
d
Let g = -20955 - -21486. What is the second biggest value in -2, -5, g, -4?
-2
Let s = 6/1753 - 19301/5259. Which is the fourth biggest value? (a) -4 (b) 0.3 (c) -5/3 (d) s
a
Let y = 571 + -574. What is the fifth biggest value in 0.2, y, 0.3, -26, -15?
-26
Let d = 2.29 + -2.4. Suppose -14 = -4*v + 5*x, -2*v - 5065*x = -5060*x + 38. What is the third biggest value in -0.2, 1, v, d?
-0.2
Let l(u) = u**3 - 9*u**2 - 21*u - 5. Let t = 39 + -28. Let q be l(t). Let s be 9/(-6)*8/q. What is the second smallest value in -0.4, s, 9?
-0.4
Let a = 3771.3 - 3770. What is the second biggest value in a, -1/6, -3/5, -0.4?
-1/6
Let d = 0.5 + -2.5. Let k = -0.0415 - -23.9415. Let a = k + -23.9. What is the biggest value in a, -25, d?
a
Let r = -310 - -4032/13. Let g = -0.15 + 0.1. Let k = -0.45 - g. Which is the smallest value? (a) r (b) k (c) 0
b
Let q = 201.2625 - 201. Let v = -0.0375 - q. Which is the biggest value? (a) -0.13 (b) v (c) 0.5
c
Let u be ((-200)/(-20))/(1/38). Let r be -4 + (u/45)/2. Which is the second biggest value? (a) r (b) 2 (c) -6 (d) -3/5
a
Let v = 5.559 - -0.361. Let x = -852.92 + 853. Let t = x + v. What is the smallest value in -2, t, 4?
-2
Let j = 7.02 + -0.02. Let h = 81.83 - 78.83. What is the smallest value in h, 23, 5, j?
h
Let p = -71.1819 + 0.1819. What is the biggest value in 0.11, p, 2?
2
Let u = -3197 + 47957/15. What is the biggest value in u, -346, 4, 2?
4
Let g = -0.06 - 3.94. Let k = -24323 + 24322. What is the smallest value in -5, k, g, -2/5?
-5
Let g = -187/4 - -2423/52. Let n = 1521 + -13691/9. What is the third biggest value in g, -1.2, n?
-1.2
Let y = -1.97 + -0.03. Let q = -1502079 + 1502079. Which is the fourth biggest value? (a) -11 (b) q (c) y (d) 4
a
Let r = -220.41 - -6.41. Let y = r + 241. Which is the biggest value? (a) 2/19 (b) -4 (c) y
c
Suppose 0*c = -3*c + 15. Suppose -y + c*s - 50 = 4*y, -y - 3*s = -10. Let r be (-2)/12 - (-28)/56. What is the second smallest value in 4, r, y?
r
Let u(w) =
|
{
"pile_set_name": "DM Mathematics"
}
|
- 52392. Is z prime?
True
Let v = 1801904 - 1261269. Is v a prime number?
False
Suppose 6 = 7*l - 8. Suppose -6 = -4*s + s - 3*d, -7 = -l*s - d. Suppose -s*c + 4139 = 204. Is c a prime number?
True
Is (-6)/1 - (-263841 - -11)/14 composite?
False
Let o(j) be the second derivative of j**4/12 - 7*j**3/6 + 4063*j**2/2 - 111*j. Is o(0) prime?
False
Let b(h) = -4*h**3 + 24*h**2 + 29*h + 1726. Is b(-35) prime?
True
Let u be (419 - (0 - 1))/((-30)/(-20)). Suppose l + 2*l - 747 = 0. Let d = u + l. Is d composite?
True
Let s be (-14)/(-4) + 3/6. Suppose f + 3*r = 4*f - 17253, -5771 = -f - s*r. Is f a prime number?
False
Suppose 1922571 = 45*p + 118491 + 26625. Is p prime?
True
Let c = -17345 - -32568. Is c a composite number?
True
Let w = 325892 - -62207. Is w a prime number?
True
Suppose 20*u = 30222 + 3218. Suppose -2*c + 3162 = -u. Is c a prime number?
True
Let k(j) = j**3 + 4*j**2 - 3*j - 9. Let q be k(-4). Suppose -5*b - 5286 = -2*s, 2*s - q*b - 5270 = -2*b. Is s a composite number?
False
Suppose 2*t = -8*o + 3*o + 772438, -2*t + 2*o + 772438 = 0. Is t composite?
False
Suppose 3*v = -k + 1721, -4*k - 5*v = 987 - 7899. Is k prime?
True
Let a = -17135 + 18048. Is a a composite number?
True
Let x = -2763 - 1385. Let v = x + 6453. Is v a composite number?
True
Let o = 190 - 186. Suppose o*u - 7*u = -9, 0 = 5*j + 2*u - 23921. Is j a prime number?
True
Suppose -64*k + 28*k - 41*k = -42017437. Is k composite?
True
Is 1386/20*602 - (-16)/40 composite?
False
Suppose 74*r - 71*r = 0. Suppose 3 = 3*p - r*p, 5*p = 5*c. Is ((-25)/(-10) + -3)*(-1501 - c) composite?
False
Let q be 2/1 + -4 + 4. Let z(j) = 1541*j - 11. Is z(q) a composite number?
True
Suppose -5*n = -3*n - 2. Let d(z) be the second derivative of 485*z**3/6 - 1575*z. Is d(n) a composite number?
True
Let c(a) = 117*a + 53. Suppose 4*h = -2*d + 10, 5*d - 7*d + 4*h = -42. Is c(d) a composite number?
True
Let j(o) = 1966*o**2 + 26*o - 323. Is j(18) a composite number?
False
Suppose -i + 7 = 2*z, 2*i + 2*z - 14 - 6 = 0. Let m(u) = -u**2 + 14*u - 17. Let g be m(i). Is 1/g + -2938*4/(-32) composite?
False
Let n be ((-140)/(-8))/(-7)*(-3 - -9). Let j = 118 - n. Is j a composite number?
True
Suppose -3*f + z = -955100, f - 6*z - 24190 = 294171. Is f a prime number?
False
Let y(f) = -200*f + 15. Let q be y(-14). Suppose 0 = l + 5*w - 925 - 9, 0 = -3*l - 2*w + q. Is l a prime number?
False
Let s(h) = h**2 - 9*h - 8. Suppose m - 42 = -4*b, -5*b - 2*m + 30 = -24. Let z be s(b). Suppose j - 3*k + 514 = 5*j, -3*j = z*k - 385. Is j a composite number?
False
Let x = 72 - 68. Suppose -x*q - 4*h = 0, q - 5*h - 30 = -4*q. Suppose -q*w + 1357 = -764. Is w prime?
False
Let s(x) = -553*x + 1447715. Is s(0) a prime number?
False
Suppose 41 = 5*n + 11. Suppose -12*v + n = -9*v. Suppose v*c = -2*c + 136. Is c a composite number?
True
Suppose -b - 2*w = -1437, 2*w + 2*w + 7241 = 5*b. Suppose -r - d = -5*d - b, d - 5 = 0. Suppose 4*m - r = -m. Is m prime?
True
Let l(c) = -4*c**2 - c**2 - c**3 - c + 0*c + 3*c**2. Let r be l(-2). Suppose h + 1893 = 4*s + 6*h, -3*s + r*h + 1391 = 0. Is s prime?
True
Let m be (-10)/(-4)*(-25 + 27). Let b(w) = 30*w**2 - 13*w + 6. Is b(m) a composite number?
False
Let a be (20023/(-3))/((-70)/210). Suppose -3*j = -x + a, x + 3*j = 7*j + 20021. Is x a prime number?
True
Suppose 3*j = -0*r - 2*r + 3425, -2*r + 3428 = 4*j. Suppose z = 5*i + r, -3*z - 5*i + 5224 = -0*z. Is z a composite number?
False
Let x(r) be the first derivative of 3*r - 23 - 1/2*r**2 + 95/3*r**3. Is x(-4) prime?
False
Let x be (-18)/(-15)*(-50)/(-15). Suppose -10*n - x = -14*n. Suppose 4 = -y - n, -y = 4*z - 2519. Is z a composite number?
False
Let o be (-48)/(-40)*(-110)/3. Let r be 0 + (-478096)/o + (-4)/(-22). Suppose r = -0*h + 6*h. Is h prime?
True
Suppose -2*m + 10 = 3*m. Suppose -2*v + 5*s = 0, -v - 5*s - 4*s + 4*s = 0. Suppose v = m*u - 7*u + 335. Is u prime?
True
Let t(p) = p**3 + 8*p**2 + 2*p + 16. Let k(z) = -7*z**2 + 4*z + 3. Let s be k(-1). Let f be t(s). Is (1 - 0)*(2843 + f) a prime number?
True
Suppose -38*o = -490*o + 268789484. Is o a composite number?
False
Suppose 8*z = 19781 - 517. Suppose -405*f - z = -407*f. Suppose 13*v + 125 - f = 0. Is v a prime number?
True
Let y(o) = 14*o**3 + 2*o**2 + 16*o - 13. Let u = 247 - 239. Is y(u) a prime number?
True
Let b(z) = -z**3 - 12*z**2 - z + 27. Let d be b(-13). Let f be 1*(d + -4)/5. Suppose 0 = -f*m + 32*m + 5067. Is m a composite number?
False
Suppose 6*t + t - 209382 = t. Is t prime?
True
Let f be (((-224)/49)/(-4))/(2/14). Suppose -5*c - 3*v + 4460 = -f*v, -c + 5*v + 880 = 0. Is c composite?
True
Suppose -19*y + 856 = -15*y. Let h = y + -27. Is h a composite number?
True
Let s = 98 - 102. Let c be (-21)/9*(-7 - s). Is 5 + c/(7/902) prime?
True
Suppose 4*r - 5*f + 501281 = 2410014, 5*f - 1431506 = -3*r. Is r a prime number?
False
Suppose 28*l - 62 = -342. Let t = -987 + 2603. Is (-4)/(-10) - (t/l + -1) a prime number?
True
Suppose -104024 = -6*s - 3296. Suppose 12*u + 0*u = s. Is u prime?
True
Let i(w) = 16*w**3 - 3*w**2 + 2*w - 2. Let h be i(2). Let x = 255 - h. Let u = x + -90. Is u a prime number?
True
Suppose -15203 = -i - 3*z, -4*i + 40*z = 41*z - 60834. Is i a prime number?
False
Let x be 1380/170 - 2/17. Suppose -x*i + 56528 = -46904. Is i a composite number?
True
Suppose -2*s - 4*d + 3*d = -4829, 2*d + 12059 = 5*s. Let t = s + -1659. Let w = t - -3573. Is w a composite number?
False
Let k(w) = 86*w + 14 + 8 - 23. Let t be k(4). Suppose t = 4*o - 1229. Is o composite?
True
Let k(h) = -2 - 7*h**2 + h**3 + h - 3*h + 2*h. Let u be k(7). Let y(o) = -40*o**3 + 2*o**2 - 2*o - 1. Is y(u) prime?
True
Let d = -496 - -504. Suppose -d*c + 18750 = -3*c - 5*q, -15 = 5*q. Is c a prime number?
False
Suppose 39*n + 1588 = 38*n. Let b = n - -2427. Is b a composite number?
False
Suppose -5*z - 17*z - 335403 = -31*z. Is z prime?
False
Let c(a) be the first derivative of -93*a**2 - a - 110. Is c(-3) prime?
True
Let c(w) be the third derivative of w**6/120 + w**5/15 - w**4/4 - 2*w**3/3 - 6*w**2. Let m be c(-5). Is -901*(-3 + 2)*m/1 prime?
False
Suppose 20*k + 124245 = 29*k. Suppose 24*g - 46757 + k = 0. Is g a composite number?
False
Suppose -11*g = -5*g - 72. Suppose 0 = r - 9 - g. Suppose 20*n + 317 = r*n. Is n prime?
True
Let k(p) = -1589*p + 53. Is k(-6) a prime number?
True
Let x be 4*(5 + -3 + -1). Suppose -x*a - 32 = -348. Suppose -2*u + 27 + a = 0. Is u a composite number?
False
Suppose -4*a + 5 + 67 = -4*k, 4*a - 57 = -k. Let u(q) = 6*q**2 - 30*q - 26. Let h(t) = 7*t**2 - 32*t - 25. Let b(y) = 5*h(y) - 6*u(y). Is b(a) prime?
False
Let s = -13795 - -283502. Is s prime?
False
Is -3 + (-3792*(-700)/21 - 4) a composite number?
True
Let x(r) = r**3 + 16*r**2 + 9*r + 31. Let t be -14 + ((-1)/3)/(6/18). Is x(t) a composite number?
True
Let q be -67 - (-7 - (0 - 3)). Let z be 4/(-14) - 18/q. Suppose -2*x + 290 + 1808 = z. Is x a prime number?
True
Is (-4 - (-24)/(3 + -9)) + 53155 prime?
True
Suppose -9*s - 2*s + 192967 = 6*s. Is s prime?
True
Let t = 210780 + -149357. Is t a composite number?
True
Let t be 1252/36 + (-4)/54*-3. Let w = 37 - t. Is -1*w*(-1)/(-2) - -292 a composite number?
True
Suppose 115104 = 17*x - 13*x - w, -86311 = -3*x + 5*w. Is x prime?
False
Let x(p) = -p**3 + 2*p**2 - 2. Let b be x(2). Let a be (-1)/b*2456/(-2). Let m = -31 - a. Is m a prime number?
False
Let a be (211 - -2) + (-1 - 6). Suppose -24970 = -216*w + a*w. Is w a prime number?
False
Let i(c) = -37*c**3 + 3*c**2 + 59*c - 4. Let b be i(-7). Let g = b + -8762. Is g a composite number?
False
Let d = 106 + -101. Suppose 4*m = -d*w + 9174, -m + 4*m = 4*w + 6865. Is m a prime number?
False
Let j(k) = -7660*k - 2693. Is j(-7) prime?
False
Let q = 687 + -4633. Is q*(-2)/1 - -1*3 a prime number?
False
Suppose -39*m = -34*m + 13880. Suppose -596 = -2*j - 4334. Let i = j - m. Is i a composite number?
False
Suppose 981*s - 980*s = -6, 2*s - 4715 = -r. Is r a composite number?
True
Suppose 976656 = 75*z - 9981530 - 2624539. Is z a composite number?
True
Let x be 62/8 - (38/8 + -5). Let d(f) = f**3 - 11*f**2 + 24*f - 4. Let j be d(x). Is 35312/(-12)*3/j a prime number?
True
Suppose 0 = -47*d + 25*d + 32*d - 2777090. Is d prime?
False
Suppose 6*c + 2*o - 1356510 = -194606, -2*c - 3*o = -387313. Is c a pr
|
{
"pile_set_name": "DM Mathematics"
}
|
sest to 0.3? (a) 0.3 (b) -315 (c) 158
a
What is the closest to -91 in 63, 5, -0.5, 6?
-0.5
Which is the nearest to 45? (a) -0.3 (b) -0.5 (c) -0.57
a
What is the nearest to 1/3 in 16, -2753, -0.1, 2, 1?
-0.1
Which is the nearest to -0.02? (a) -2/11 (b) 1 (c) -1.3 (d) 4 (e) 3
a
Which is the nearest to 6897/2? (a) 5 (b) 5/6 (c) 0.1 (d) 2/31
a
Which is the nearest to -3? (a) -4/31 (b) -3 (c) 0.3 (d) -0.36
b
What is the closest to -5483 in 2/7, -1/2, 1, -2/7, -7?
-7
What is the nearest to -2/7 in 3/8, -20, 0.3, 7?
0.3
Which is the nearest to -1.5? (a) 4 (b) 0.2 (c) -334
b
What is the nearest to 2 in -2, -452, 1, 2?
2
What is the nearest to 0.1 in 0.02, 0.6, -2, 1/195?
0.02
What is the nearest to -9 in 0.04, -50, -5, -83?
-5
Which is the nearest to 0? (a) 5/3 (b) -3/2 (c) 0.94 (d) 0 (e) -2
d
Which is the nearest to 2? (a) 0 (b) 7 (c) -489 (d) -2/7 (e) -5
a
What is the closest to -3 in 22027, -5, 0.5?
-5
Which is the nearest to 2/23? (a) 0.2 (b) -6 (c) 0.11 (d) 1/6 (e) -1/5
c
Which is the closest to 1? (a) -1 (b) -79 (c) -2/13 (d) 12 (e) -2
c
Which is the nearest to 5? (a) -4/5 (b) -0.5 (c) -0.2 (d) 3 (e) -34/9
d
What is the closest to -8 in 219.36, -7, -2?
-7
What is the closest to -32 in -0.2, 5, -3071, -5?
-5
What is the nearest to -0.073 in 5, 0.08, -7?
0.08
What is the nearest to -2 in 1, -3/7, 61, 929?
-3/7
Which is the closest to -2? (a) 0.5 (b) -3/4 (c) 1 (d) -1/16796
b
What is the nearest to 155 in -5, -0.2, 2/13, 0.1, -3?
2/13
What is the closest to -2 in -5, 0.3, 1/5, 9, 135?
1/5
Which is the closest to -3/2? (a) -2 (b) 0.2 (c) -287 (d) 4 (e) 8
a
Which is the nearest to 2/5? (a) 2 (b) 2/33 (c) 0.3
c
Which is the nearest to 2/3? (a) 43 (b) 1/6 (c) -2/9 (d) 14
b
What is the closest to -0.3 in -791, 1/8, 62?
1/8
Which is the nearest to -3/5? (a) -0.1 (b) 2 (c) 1.2 (d) -5 (e) -25
a
Which is the closest to -0.1? (a) 2 (b) -2 (c) -49127
b
Which is the nearest to 1.12? (a) 0.3 (b) 5 (c) -14 (d) 4
a
What is the closest to -52.9 in 2/11, 4, -2/15, -2/7, 3?
-2/7
Which is the closest to 0.3? (a) -5 (b) -16 (c) -18/7
c
What is the nearest to 21 in -24, -5, 0?
0
Which is the nearest to -15? (a) 23 (b) 0.5 (c) 57
b
Which is the closest to 10/33? (a) 0.03 (b) -1 (c) 0.2 (d) 39
c
What is the nearest to 0.1 in 0.5, -3, -19383, -5, 0.3?
0.3
What is the nearest to -1 in 0.1, 7, 1.41?
0.1
What is the closest to -15/7 in -4, -2, 26, -1?
-2
Which is the nearest to 0.11? (a) 4 (b) -2 (c) 63
b
Which is the closest to -212? (a) 0.4 (b) 1 (c) 3 (d) -4
d
Which is the nearest to -2/3? (a) 0.3 (b) 2/274563 (c) -6
b
What is the nearest to 92 in -0.4, 0.1, 64/3, 46, 5?
46
Which is the closest to -742? (a) -3 (b) 4.1 (c) -3/8
a
Which is the closest to -1? (a) 4 (b) 0.09 (c) -1 (d) -298 (e) -1/5
c
Which is the nearest to -1? (a) -1/5 (b) -29/28 (c) 8/5 (d) -0.3 (e) -3/2
b
What is the closest to -1/4 in -0.1, 0.2, 851?
-0.1
What is the nearest to 3/4 in 2/1521, -0.3, 4, 3?
2/1521
Which is the nearest to -1? (a) 2/3 (b) 9 (c) 7379
a
Which is the closest to 0? (a) 4/7 (b) -20 (c) 0.004 (d) 4/5
c
Which is the closest to 2/9? (a) 0.3 (b) -3/7 (c) -649
a
Which is the nearest to 1/2? (a) 2 (b) -70 (c) 0.5 (d) 4
c
Which is the closest to -74325? (a) 2/5 (b) 0 (c) 0.2
b
Which is the closest to 0.1? (a) -76 (b) -0.1 (c) -3 (d) 53/38 (e) -1/8
b
What is the nearest to 2/21 in 18, 4, -0.3, 25/3, -1/2?
-0.3
What is the closest to -3/7 in 1, 0.12, 0.4, -0.015, -0.7?
-0.7
What is the closest to 1 in 181, 1/2, 0.4, -13?
1/2
What is the nearest to 0.2 in 5.8, 0.072, -4/3?
0.072
Which is the closest to 2/5? (a) 0 (b) -2/11 (c) 1426/5 (d) -1/7 (e) -0.1
a
What is the closest to 1/377 in -2, 4, -26, -3/7?
-3/7
Which is the closest to 3/8? (a) 96 (b) -2/5 (c) 0 (d) -5 (e) -2
c
Which is the nearest to 2? (a) 2 (b) -0.1 (c) 3 (d) 36
a
Which is the closest to -0.1? (a) -10/21 (b) 1/2 (c) -2.1 (d) -2/9
d
Which is the nearest to 90.1? (a) 0 (b) -3 (c) -0.4 (d) -0.3
a
What is the nearest to 37 in -14, 4, -4, 1/3?
4
What is the nearest to -2/21 in 3, -2, 21, -0.19, -1?
-0.19
What is the closest to -11 in -377, -3, -5/4?
-3
What is the closest to -1 in -99.7, 5, 5/2, 2?
2
What is the closest to -9/26 in 3, -2/3, -8?
-2/3
What is the nearest to 2/621 in 2/7, -0.1, 6, -1?
-0.1
What is the closest to 34 in 0.11, 2/7, -0.9?
2/7
What is the nearest to 0.05 in 1, -0.2, 97459?
-0.2
Which is the closest to -78? (a) 4 (b) 1 (c) -4
c
Which is the closest to 0.045? (a) -1/9 (b) -2/19 (c) 2/7 (d) -1.13
b
Which is the nearest to -2.1? (a) -5 (b) -0.1 (c) 2/19 (d) -3
d
What is the closest to 0.1 in 1, -11, 4/7, -0.3?
-0.3
What is the nearest to 81 in 1/3, -4, -3, 0.8?
0.8
Which is the nearest to -296? (a) -3 (b) -4 (c) 5/4 (d) -0.3 (e) 0.6
b
What is the closest to 0 in -2/3, 68/71, 5, 22?
-2/3
Which is the closest to 0.4? (a) 2 (b) 2/417 (c) 0.2 (d) -1.1
c
What is the nearest to -0.1 in 0, -48, 73, 1/6?
0
What is the nearest to -0.2 in -5, -0.5, 1/4, -3/38, 0.004?
-3/38
What is the nearest to -2/7 in -19/8, 0, -0.01, -0.2, 4?
-0.2
Which is the closest to 0.6? (a) -4 (b) -45 (c) -1.9
c
What is the closest to 1/644 in -5, -0.3, 1?
-0.3
Which is the closest to 2/25? (a) -3/5 (b) -1 (c) -0.7 (d) -3 (e) 3/2
a
What is the closest to -3/2 in 4, 40, -8?
4
What is the closest to 0 in 1, 0.01, -0.024, 3?
0.01
Which is the closest to 0? (a) -0.2 (b) 3 (c) -0.014 (d) 0.27
c
What is the closest to 0 in -0.1, -1.3, -1, 0.5, -119?
-0.1
Which is the closest to 6? (a) -4 (b) 2/3 (c) 2/299 (d) 8 (e) -2/17
d
Which is the closest to -0.1? (a) -14/9 (b) 0 (c) 38 (d) 3/8
b
Which is the nearest to 0? (a) -1/11 (b) 15 (c) -3/484
c
What is the closest to -7 in -4/5, -2901, 12?
-4/5
Which is the nearest to 0? (a) -3 (b) 28 (c) 63/8 (d) 15 (e) -4
a
Which is the nearest to -6? (a) 3 (b) 0.053 (c) 3/4 (d) 10 (e) 5
b
What is the closest to 1 in 0.038, -2/43, 279, -2/11?
0.038
Which is the nearest to -0.182? (a) 1/16 (b) -0.3 (c) 3
b
What is the closest to 8 in 0.1, 1/6, -1.3, -2/5, 2/53?
1/6
What is the closest to -1 in -29, 0, -7, -4/13?
-4/13
Which is the closest to 3/2? (a) -1/3 (b) 0.4 (c) 6.286
b
Which is the closest to -0.3? (a) -5.7 (b) 2/27 (c) 2
b
What is the nearest to -0.2 in -0.03, 2, 5, -4?
-0.03
Which is the closest to 0.1? (a) -0.21 (b) 0.1 (c) 939
b
What is the nearest to 0.064 in -5, -0.0019, -2, -2/7?
-0.0019
Which is the closest to -7? (a) -0.1 (b) -155.5 (c) -2
c
What is the nearest to 106 in 0.35, -2/3, 0.06?
0.35
What is the nearest to 11 in 0.6, 0.3, 10/7, 3/4, 1/7?
10/7
What is the closest to 0.2 in -3, -0.1, 1454, 5?
-0.1
Which is the nearest to 0? (a) -1 (b) 4 (c) 2/3251
c
What is the closest to 2/5047 in 0.4, -2/23, -5?
-2/23
What is the closest to 4.7 in -3, -9/8, -4, 1/6, 3/2?
3/2
Which is the nearest to 0? (a) 704 (b) 2 (c) 6
b
What is the nearest to 34 in 15136, -3/7, 0, 0.2, 0.3?
0.3
Which is the closest to -242? (a) 4/9 (b) -1/8 (c) -0.49
c
Which is the nearest to 8? (a) -2.3 (b) 0.3 (c) -2.9
b
What is the nearest to 1 in -0.3, -3, -34, -1/3?
-0.3
What is the closest to -2/5 in -4779, 3, -3?
-3
Which is the closest to -2? (a) -0.2 (b) 2/23 (c) -18 (d) 1
a
Which is the nearest to 2? (a) 2.99 (b) -2/15 (c) -2
a
Which is the closest to 1? (a) 2/3 (b) -0.4 (c) 1/6 (d) 2 (e) -96
a
Which is the closest to -3? (a) 0.5 (b) 450 (c) 91
a
Which is the closest to -0.6? (a) 4 (b) 1/71 (c) 3
b
Which is the nearest to -1? (a) -2/3 (b) -4 (c) -332 (d) -0.5 (e) 29
a
What is the closest to -7/92 in -12, 1/6, -3/4, -0.5?
1/6
Which is the nearest to -7? (a) 4 (b) -22 (c) 0 (d) -3
d
Which is the closest to 4? (a) 0.04 (b) 0.05 (c) -0.27 (d) -2/15 (e) 0.1
e
What is the closest to 25 in 1, 0.2, -0.3, -19/11?
1
Which is the closest to -0.1? (a) 1 (b) 1.323 (c) -43
a
Which is the closest to 38? (a) -8/3 (b) -4 (c) -0.1 (d) -3/7
c
What is the closest to 1.7 in -3, -0.8, 5/9?
5/9
Which is the nearest to -2? (a) 1/10 (b) 1 (c) -124 (d) -1/25 (e) 3/8
d
Which is the nearest to 27? (a) 64 (b) 2/13 (c) 0.04
b
What is the nearest to -4 in -0.04, -0.03, -0.5?
-0.5
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
4*t - 3*g. What is the highest common divisor of t and 108?
27
Let k(t) = 16*t. Let d be k(6). Suppose -2*p + 1 = -5. Suppose l - 66 = -5*m + p*l, -5*l + 21 = 3*m. What is the greatest common divisor of d and m?
12
Let t = 7 - 19. Let r be (t/(-18))/((-2)/(-9)). What is the highest common factor of 6 and r?
3
Suppose -5*m + 33 + 2 = 0. What is the greatest common divisor of 7 and m?
7
Suppose 12 = -7*k + 5*k. Let a be 0 - 3/(k/68). What is the greatest common divisor of a and 85?
17
Let g = 15 - 10. Let s = -1 + g. Suppose v - 72 = -v. Calculate the greatest common divisor of s and v.
4
Let m = 38 - 71. Let v be m/(-9) + 4/(-6). What is the greatest common divisor of 3 and v?
3
Let a be (-2)/4 - 63/(-6). What is the highest common factor of a and 5?
5
Let g be 5/(-2)*(-2)/(-1). Let d = 15 + g. Let l(b) = 2*b**2 - b - 2. Let r be l(2). What is the greatest common divisor of d and r?
2
Suppose 17*o = -4*o + 42. Calculate the highest common factor of 16 and o.
2
Suppose 7*y = -0*y + 7. Calculate the highest common factor of 5 and y.
1
Suppose 6*h - 2*p = h + 150, -4*p + 36 = 2*h. What is the greatest common factor of 42 and h?
14
Let t = 4 + -4. Suppose t = 3*o - 715 + 205. Suppose 0 = 2*l - o + 20. What is the greatest common divisor of l and 15?
15
Let y be (9/27)/(2/102). What is the highest common factor of 102 and y?
17
Let c be 30*(-3 - -2)/(-1). What is the highest common factor of c and 45?
15
Let b = 42 + -29. Calculate the highest common divisor of b and 117.
13
Let t = 33 + -32. What is the greatest common factor of t and 9?
1
Suppose 141 - 37 = 2*q. Suppose p = i + 129, -i + 30 = p - 101. What is the greatest common divisor of p and q?
26
Let p(n) = 31*n + 3. Let r be p(1). What is the greatest common factor of 136 and r?
34
Let r be 11 + 6/(-3) + 1. What is the greatest common divisor of r and 10?
10
Let m be 1 + 5/((-15)/(-9)). Let u = m + -12. Let z be (-62)/u - (-1)/4. What is the highest common divisor of z and 80?
8
Suppose 2*k - 28 = -0*k. What is the greatest common factor of k and 21?
7
Let y(f) = 10*f**3 + 2*f - 1. Let w be y(1). Calculate the greatest common divisor of w and 33.
11
Let x(h) = h - 7. Let m be x(8). Let a be (8 - 2) + (m - 1). What is the greatest common factor of 48 and a?
6
Suppose k + 4*q - 232 = 0, 0 = 3*k + 4*q - 606 - 58. What is the greatest common divisor of 27 and k?
27
Suppose 0 = -5*z - l + 80, -3*l + 4*l - 65 = -4*z. Let k = z - 3. Suppose -t = 4*u - 61, u - 2*u + k = -3*t. What is the greatest common divisor of 15 and u?
15
Let j be (-3)/(-12) + 11/4. Suppose -4*q + 19 = 3*l, l = -j*q + 17 - 4. Calculate the greatest common factor of q and 20.
4
Let j be (-4)/((2/9)/(-1)). Suppose 2*s - 24 = 8. Suppose 6 = 4*o - 3*f + 2*f, 0 = -5*o - 3*f + s. What is the greatest common divisor of o and j?
2
Suppose -38 = -2*s + 22. Calculate the greatest common factor of s and 12.
6
Let f(u) = u**3 + 8*u**2 + 7*u - 2. Let n be f(-7). Let s be ((-1)/n)/(2/80). Calculate the highest common divisor of 30 and s.
10
Let p be 30/4 - (-2)/(-4). Let x be (p + -1)*(3 - -2). Let w = 185 + -175. Calculate the highest common divisor of x and w.
10
Let v be 10/(-75) - ((-2121)/45 - -3). What is the greatest common divisor of v and 4?
4
Suppose 41 = 2*q + 1. What is the greatest common factor of 2 and q?
2
Let r be 4 + 2/(0 + 2). Let d = -3 + r. Let z be ((-3)/d)/((-3)/8). What is the greatest common divisor of 44 and z?
4
Suppose 4*q - 173 - 15 = 0. Suppose 0*v + 2*v = -42. Let g = v + q. Calculate the highest common factor of 13 and g.
13
Suppose 8*t - 1152 = 4*t. Calculate the greatest common divisor of t and 32.
32
Let w be 4/12*9 + 17. Calculate the highest common factor of 5 and w.
5
Suppose -4*t = -3*t - 9. Calculate the greatest common factor of t and 99.
9
Let c be (-54)/10 + 10/25. Let o be 1/(c/2 - -2). Let k be (24/(-9) + o)*-3. Calculate the highest common factor of 126 and k.
14
Suppose -45 = -4*v - 3*u, -v + 0*v = -3*u - 30. What is the greatest common factor of v and 165?
15
Let k be 0 + 13*(14 + 5). What is the highest common divisor of 13 and k?
13
Suppose 152 = 5*p - 68. Calculate the highest common factor of 66 and p.
22
Let z = 44 + -31. Suppose -c = 4*k - 40, 0*k - 58 = -c + 2*k. Calculate the greatest common divisor of z and c.
13
Let p(g) = -4*g**3 + 26*g**2 - 5*g + 6. Let s be p(6). Calculate the highest common divisor of 32 and s.
16
Let w(h) be the second derivative of -h**3/3 - h**2 - 3*h. Let j be w(-3). Calculate the greatest common factor of j and 20.
4
Let a be (17 + 3)*2/5. Calculate the highest common divisor of 32 and a.
8
Suppose 0 = k - 5 - 3. Let b = 14 - k. What is the greatest common divisor of 9 and b?
3
Suppose 48 = 4*h + 4*j, 2*h - 4*j = h + 27. Calculate the highest common factor of 60 and h.
15
Let j = -44 - -100. What is the highest common divisor of j and 14?
14
Suppose 2*m = -0*m. Let n = 11 + m. Calculate the highest common factor of 121 and n.
11
Suppose 48 = 5*v + 3*h - 11, -4*v - 3*h + 46 = 0. What is the highest common factor of 117 and v?
13
Let x be ((-12)/3 + 35)*11. What is the greatest common factor of 31 and x?
31
Suppose -o = 2*o - 3. Calculate the greatest common divisor of o and 6.
1
Suppose -61 = -4*g - 5*d, -d = g + 2*d - 17. Suppose 4 = 3*s - g. Let o be 8/s*42/4. Calculate the highest common factor of o and 126.
14
Let x be 1/2*0 + (-3 - -18). Calculate the highest common divisor of 30 and x.
15
Suppose -5*z - 48 = 5*f - 8, -23 = 4*f + z. Let k be (-212)/f - (-6)/(-15). Calculate the highest common divisor of 28 and k.
14
Let x = 9 - 6. Suppose 5*l - 4*f - 23 = 2*l, 0 = 3*l + 4*f - 7. Suppose 4*d + 5*o = 32, 2*d - l*o + 2 = -3*o. What is the highest common factor of d and x?
3
Let i = -5 - -68. Let b(p) = 2*p**2 + 5*p - 21. Let a be b(-6). What is the greatest common divisor of i and a?
21
Suppose -2*v - 3*v = -25. Let y(s) = s**2 - 4*s - 1. Let n be y(v). Suppose 61 = 6*c - c - 3*p, 0 = n*p - 12. What is the highest common factor of c and 56?
14
Let c = -6 - -22. Calculate the highest common factor of 32 and c.
16
Let u = 17 - 16. Let s be (-12)/4*u - -16. What is the highest common factor of s and 143?
13
Let u be (-3)/(3/((-3)/1)). Suppose 7*s = u*s + 24. Calculate the highest common factor of 6 and s.
6
Let o be 2 + -1 + 0 - -3. Suppose -3*i - 5 + 41 = 0. Suppose -4*s = 4*c - 0*c - 64, 3*c = 2*s - i. What is the greatest common factor of o and s?
4
Suppose -l + 4*l = 93. Let s = l + -17. Calculate the greatest common factor of s and 70.
14
Let i(s) = -29*s**3 - 2*s**2 + 1. Let n be i(-1). Let p(c) = c**3 + 14*c**2 + 12*c - 6. Let h be p(-13). Calculate the greatest common divisor of n and h.
7
Suppose 2*j - 7 - 53 = 0. Calculate the greatest common factor of 10 and j.
10
Let t be (-2)/(-10)*8*25. Let i be (-3)/((-2 + 3)*-1) - -13. Calculate the greatest common factor of t and i.
8
Suppose -8*a + 173 = -19. Let r = 23 - -37. What is the greatest common divisor of a and r?
12
Suppose 3*u - 5*k = 260, 4*u - 2*k - k - 332 = 0. Let i be 3/(-2)*20/(-6). Suppose -u - 550 = -i*w. What is the highest common factor of 14 and w?
14
Suppose 63 = 2*f - 3*u, 17 = 3*f - 2*u - 70. Calculate the greatest common factor of f and 27.
27
Let v be -38 - (2 + -5)/3. Let c = 54 + v. What is the highest common factor of 187 and c?
17
Suppose -4*p = -4 - 8. Let j(i) = -i + 0*i + 3 - i**p + 5*i + 2*i**2. Let u be j(-2). What is the highest common divisor of 121 and u?
11
Let q = 28 - 8. What is the highest common factor of 30 and q?
10
Let v(n) = -n - 4*n**2 - n**3 + n + 4*n - 2*n. Let y be v(-5). What is the greatest common factor of 165 and y?
15
Suppose 0 = 2*x - 15 - 25. Calculate the highest common factor of x and 5.
5
Let h(r) = -r**2 + 40*r - 4. Let a be h(17). Calculate the greatest common divisor of a and 43.
43
Suppose -7*q - 5*q = -132. Let h = 13 + -9. Suppose 2*n = 4*x - 2*n - 240, -h*x = -2*n - 230. What is the highest common divisor of x and q?
11
Let y be 15 - (-4 + (-2)/(-2) + 2). Calculate the highest common factor of 112 and y.
16
Let q(w) = 2*w**3 - 3*w**2 - 5*w + 3. Let n be q(3). Calculate the highest common factor of n and 30.
15
Let n(b) = 12*b**2 + b - 3. Let l be n(3). Calculate the highest common factor of 12 and l.
12
Suppose 5*q - 5*z = 128 + 42, -5*
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{
"pile_set_name": "DM Mathematics"
}
|
?
-1/3
Let f = -31.3 + 31. Let r = 3880 - 3883. Let a = 3 - 2.8. What is the closest to a in f, r, 4/7?
4/7
Let f = 27 - 19. Let n = -2835 + 2839. Let z be ((-6)/n - -4)*f/(-70). Which is the nearest to z? (a) 0.2 (b) -4 (c) 4
a
Let r = -21 + 21.06. Let j = r - -0.14. What is the closest to j in -2/3, -1/5, -1?
-1/5
Let q = -0.7 - -0.7. Let g = -0.34 - -0.61. Let f = g + -0.37. Which is the closest to f? (a) -0.6 (b) q (c) 5
b
Suppose -6*d - 9*d = 308 - 233. What is the closest to -9 in 4, d, -5/4, 6?
d
Let r = -89/186 + -2/93. Suppose 3*t + 7 = -w, 3*w - 12 = 6*w. Which is the nearest to t? (a) 0.3 (b) 4 (c) r
c
Let x = -0.77275 - 0.22725. Which is the closest to 0.4? (a) x (b) 9 (c) -18
a
Let r(k) = 5*k**2 - 2*k - 2. Let t be r(2). Let n be (t/21)/((-2)/(12/5)). Let d = 2.06 - 0.06. What is the nearest to -0.1 in n, d, -3?
n
Let d = -1434 + 1434.42. What is the closest to -1 in d, 0.7, -1/3?
-1/3
Let v = 145 + -146. Let a = 3 - -3. Let d = a + -1. What is the nearest to -1 in d, -5, v?
v
Suppose r - 1 = 2*t, -t - 5 = -4*r + 13. Let l(m) = m**3 - m**2 + m + 6. Let z be l(3). Suppose z = -14*j - 15. What is the closest to -0.1 in -2/7, j, r?
-2/7
Let q = 5590 + -5207. What is the nearest to 2/5 in q, -1/7, -3, -4?
-1/7
Let v = 74 + -74. Let w = 39 - 30. Let g = w + -8. What is the closest to -1 in g, v, 0.5?
v
Let t be (2/5)/((-9)/5). Let v be ((14 - -5) + -10 + -13)*(-3)/(-12). Which is the nearest to t? (a) v (b) 4 (c) 0.03
c
Let m be (-2322)/473 - 40/(-44). Which is the nearest to -0.1? (a) 0.8 (b) 4 (c) m (d) 6
a
Let m = -4.1425 + 0.1425. What is the nearest to -21/43 in m, 2/17, -0.4, 2/9?
-0.4
Let u = -11325/4 + 2831. What is the closest to -2 in 0.3, -0.2, u?
u
Let b = -9.3 + 74.3. Let v = 23 - b. Let c = v - -42. What is the nearest to 4 in c, 3/8, -0.3?
3/8
Let k = 27.1 - 27. Let d = -1253 - -1258. Which is the nearest to -0.1? (a) d (b) 31 (c) k
c
Let f = -1/4475 - 4469/26850. Which is the closest to 8? (a) f (b) 2/13 (c) -2
b
Let u = 23/19 + 48/133. Let r = u - 41/35. Let i be -4 - (-172)/28 - 2. Which is the closest to r? (a) i (b) 5 (c) 1
a
Let c = -17.85 - -15.85. What is the nearest to -4 in c, 13, -0.3?
c
Let h = 146 - 202.7. Let k = -57 - h. Which is the nearest to 0.2? (a) k (b) 9/7 (c) 0.2
c
Let d(t) = -3*t + 37. Let n be d(9). Suppose -n = 11*j + 34. Let s = -0.99 + -0.01. Which is the nearest to 0? (a) -3 (b) j (c) s
c
Let f = 60197 - 10955729/182. Let u = 3/26 - f. What is the nearest to -5 in 0.1, -4, u?
-4
Let y be 3*2/4*116/(-3). Let k = y + 57. Let w be (k/2)/(-3*(-2)/(-6)). Which is the nearest to -1/5? (a) 5 (b) 0.1 (c) w
b
Let m = -245 - -248. Let r be (-9 + m)*(5 - 7)/4. What is the closest to -5 in r, 4, -1?
-1
Suppose -5*v = -0 + 5. Let n be 2/6 + 1/(-3) + (-464)/464. What is the closest to n in 1, v, 2?
v
Let q be ((-4)/16)/((81/36)/(-9)). Let u = -102/319 + 4/29. What is the nearest to 1/3 in -2/45, u, q?
-2/45
Let z be (-105)/40 + (6/(-4))/(5/(-10)). Which is the closest to 0.6? (a) z (b) -1/7 (c) 5 (d) 1/4
a
Let z be (-8)/(-30) + 32/60 + (-112)/280. Which is the nearest to 1/2? (a) 0.1 (b) -7/5 (c) z (d) -3
c
Let r be (-10)/3 - (-3)/9. Let x be ((-3117)/2)/(-1*210/80). Let h = x + -594. Which is the closest to -3/5? (a) -1 (b) h (c) r
b
Let v be (-6 - 128/(-21))*(-1)/((-30)/(-70)). What is the nearest to -2/7 in -4, 2/9, -1/3, v?
-1/3
Let q be 12/54 + 22*2/99. What is the closest to 0 in -28, q, 0.2?
0.2
Let l = 7284.04 + -7284. Which is the nearest to 0.4? (a) -2/15 (b) -7 (c) 0.08 (d) l
c
Suppose 3*z - 29 + 11 = 0. Let u be 3/z*-4 + (-120)/(-63). What is the nearest to -0.2 in 18, u, 5?
u
Suppose 3*t - 4*t + 169 = 2*q, 2*t + 5*q - 337 = 0. Let k = t - 685/4. Which is the nearest to 0.4? (a) 0.5 (b) 2 (c) k
a
Let d = 335.8 - 335.569. Which is the nearest to -0.2? (a) d (b) 2/3 (c) -1/8
c
Let s = 534/5 - 107. Let v = -5 + 5. Which is the closest to 3? (a) -0.12 (b) v (c) s
b
Let v(t) = 2*t + 3. Let k be v(-3). Let c = 2091/3773 + -3/343. Let u be 203/(-29) - (-9)/(-8) - -8. What is the closest to k in c, u, 0?
u
Let g be ((583/(-154))/(-53))/(1/2). Which is the closest to -5? (a) g (b) 1.3 (c) 1/2 (d) -2/5
d
Let o = 89.12 + -88.92. Let v = 13 - 9. Let n = -6 + v. Which is the nearest to 3? (a) o (b) 2 (c) n
b
Let h = -1.5 + 1.8. Let s = 12 + -64. Let l = s + 52.08. Which is the closest to 2/3? (a) h (b) l (c) -2
a
Let x = -10 - 51. Let z = x - -64. Suppose -z*p - 3*l = -24, -33 = -5*p + 2*l - 0*l. Which is the closest to 0.1? (a) -2 (b) -2/7 (c) p
b
Let t = 10.46 - 389.46. Let s = t + 373. Let a = 1.1 + -1. What is the closest to s in -3/4, a, 3?
-3/4
Let z be 4/(-10) + 16/40. Let f = -147 + 147. What is the nearest to z in f, 5, -3?
f
Let i = -0.24 + 0.14. Let q = 74.3 - 77.3. What is the closest to 0 in i, q, 0?
0
Let f(v) = 13*v**2 - 121*v + 37. Let z be f(9). Which is the nearest to 1/4? (a) -3 (b) -12 (c) 4/15 (d) z
c
Let g = 11159/67026 - -2/11171. Which is the closest to -2? (a) 1 (b) -1.1 (c) -1/8 (d) g
b
Let t = -88.9 + 89.014. Let l = -13 - -12.7. What is the nearest to t in 3, 1, l?
l
Let k = 127/273 + 55/273. Let t = -2/1311847 + -320087742/1919232161. Let x = t - 2/133. What is the nearest to x in 1, 4, k?
k
Let r = 373.01 - 5.51. Let d = 370 - r. What is the closest to 1/4 in d, -1, -1/3?
-1/3
Suppose -21*x + 1484 - 1379 = 0. Let m = -57/5 + 181/15. Which is the closest to m? (a) 19 (b) x (c) -0.1
c
Suppose 58*v + 56 + 43 + 17 = 0. Which is the nearest to -0.7? (a) 0 (b) 4 (c) 0.4 (d) v
a
Let d = 1605 + -1595.192. Let u = d - -0.192. Let y = 61/2 + -309/10. What is the nearest to y in -0.4, u, -0.1?
-0.4
Let t be 3/((-405)/(-740))*-3. Let s = -4606/279 - t. Let k = -0.719 - -3.719. Which is the nearest to s? (a) k (b) -4 (c) -2
c
Let r = -97 - -358. Let u = -266 + r. Which is the closest to 0? (a) -4/5 (b) u (c) 4
a
Let n = -0.2 - -0.2. Let s be 10506/1265 + -10 + 336/35. Let r = s + -86/11. Which is the nearest to n? (a) r (b) -3 (c) -2
a
Let b = 153 + -156. Let k = 152 - 911/6. Let l = 2.7 + 0.3. What is the nearest to l in b, -1/3, k?
k
Suppose 8*q - 20 = 6*q. Suppose -x = -f + 10, -6*f + x - q = -9*f. What is the closest to 1/5 in f, -6, -0.1?
-0.1
Let s = 2.3257 + -0.3257. Let l = 6 + -5.8. What is the nearest to -3/2 in s, 4, l?
l
Let c = -3/44 + -67/308. Let r = 3/59 - 127/177. Let i = 3.91 + 0.09. What is the nearest to c in r, i, -0.1?
-0.1
Let m = -0.028 - -56.028. Let p = m + -5. Let g = 51 - p. What is the nearest to g in 1/13, -0.1, 0.5?
1/13
Let h = -10385/3 - -3462. Which is the closest to -0.1? (a) -17/2 (b) 1 (c) 0.1 (d) h
c
Let h = -0.182 + 0.582. Which is the nearest to -3? (a) h (b) 1 (c) -0.0655
c
Let j be 95/((-15390)/4)*9/(-1). Suppose 8*g = 4*g - 12. Which is the nearest to -1? (a) 0.3 (b) j (c) g
b
Let d = -6.51 - -8.7. Let k = d - 1.19. Which is the closest to 1? (a) -9 (b) k (c) -5
b
Let v(r) = -58*r**3 + 7*r**2 + 3*r + 3. Let m be v(4). Let l be m/(-4275) - (-4)/(-10). Let t = l - 2/19. Which is the nearest to t? (a) 0 (b) -5 (c) 3
a
Let z = 1542.7 + -1543. What is the nearest to -0.4 in -2, z, -1?
z
Suppose -19*y + 119 + 129 = -50*y. Which is the closest to y? (a) 92 (b) -1/2 (c) 4
b
Let g = 12 + -15. Suppose -3*u - 13 = -5*z, -123*u + 122*u - 11 = -5*z. Which is the nearest to 0.12? (a) g (b) 4 (c) z
c
Let t be (10754/(-665) + 16)/(4/10). Suppose 25 = 3*y + 2*y. Which is the nearest to 0.1? (a) -2.8 (b) y (c) t (d) -1
c
Let t = -834 - -1605/2. Suppose -x = -3*d + 19, 4*d - 31 - 77 = 4*x. Let f = t - x. Which is the nearest to -1? (a) f (b) -3 (c) -1/3
a
Let t = -0.24 - -0.24. Let z = -4.209 - -4.309. What is the nearest to t in z, 2/5, -8.7?
z
Let s = -2 + 54.8. Let d = -0.98 - -53.98. Let b = s - d. What is the closest to 0.1 in b, 0.8, 0.3?
0.3
Let w = 9 - 8. Let o be (-807)/(-180) + 4/(-10) - 4. Let v = -7 + 5. Which is the closest to -0.2? (a) v (b) w (c) o
c
Let d be (-9028)/7686 - 1*(-4)/14. What is the closest to 1 in 0.31, 3, d?
0.31
Let m(k) = -3*k**2 - 1. Let x be m(-1). Let a(q) = -q**3 - 21*q**2 - 88*q + 34. Let p be a(-15). What is the nearest to -1 in p, -0.08, x?
-0.08
Let s = -550.5 - -12.5. Let p = 531 + s. Which is
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{
"pile_set_name": "DM Mathematics"
}
|
orm c*t + h and give h.
3
Express -348 + 120 + 104 + 106 + 50*l in the form q*l + f and give q.
50
Rearrange -1155 + z - 88*z**4 - 3*z - z**3 + 27*z**4 + 1156 to the form u*z**4 + h + a*z + x*z**3 + k*z**2 and give u.
-61
Rearrange (2 - 2 + q + (5 - 4 + 0)*(4 - q - 4) - 55 - 49*q + 55)*(-4 + 0 + 2) to a*q + p and give a.
98
Express 2*z**2 + 15*z + 1 + 28*z**3 + 3*z**3 - 30*z**3 in the form a*z**2 + y*z + v + n*z**3 and give y.
15
Rearrange (n - 3*n + 4*n)*(-6*n + 2*n + 3*n) + (-n + 6*n - 2*n)*(-6 - n + 6) + 4*n**2 - 10*n**2 - 7*n**2 to c + b*n + a*n**2 and give c.
0
Rearrange -839*q**4 - 3959 + 3959 + (-2 - 2*q**2 + 2)*(2 - 2 - 2*q**2) + (-3 + 4 - 3)*(-q**4 + 3*q**4 - q**4) to p*q**2 + o*q + h + g*q**3 + s*q**4 and give s.
-837
Express (-4 + 53 + 5)*(-2*r - r + 5*r) + (-2 - 4 + 4)*(-r + r - r) + 0*r - 4*r + 6*r as b + g*r and give g.
112
Express 45 - 38 - 11 - 20 - 8*t in the form x*t + s and give x.
-8
Express (-1 - 1 + 4 - 3)*(-p**4 - 2*p**4 + 4*p**4) in the form z + s*p**3 + t*p + l*p**4 + g*p**2 and give l.
-1
Express (3*y - y**2 - 3*y)*(-33*y + 71*y - 36*y) - 3*y**3 + 3*y**3 - 2*y**3 in the form m*y + q*y**3 + f + u*y**2 and give q.
-4
Rearrange 2*p**2 + 0*p**2 + p**2 + (-2*p**2 + 2*p**2 + p**2)*(-2 + 4 - 3) + 13*p**2 - 7*p**2 + 26*p**2 to the form u*p + o*p**2 + g and give g.
0
Rearrange 279*z**4 - 137*z**4 + 6*z - 140*z**4 - 8*z**2 to the form r*z**2 + w + h*z + f*z**3 + q*z**4 and give w.
0
Express -15743 + 16*s**3 + 15743 - s - 2*s**2 as r*s + j*s**2 + b*s**3 + t and give r.
-1
Express 26 - 13 - 38*u**2 - 13 in the form o + y*u + t*u**2 and give t.
-38
Rearrange (3 - 3 - f)*(63*f - 2608 + 2608)*(0 + 3*f**2 + 0) to the form x*f**3 + w*f**2 + r + z*f**4 + j*f and give z.
-189
Rearrange -2*f**2 - f + f + (0*f - 3*f + f)*(0*f + 4*f - 3*f) - 177652*f - 376*f**2 + 177652*f + f**2 - f**2 + 2*f**2 to the form l + d*f**2 + h*f and give d.
-378
Express (-752 + 381 + 374 - 20*a**2)*(3*a**2 - a**2 - 11*a**2) in the form j*a**2 + k*a**3 + x*a**4 + h*a + b and give j.
-27
Rearrange 6*n + 39*n - 9*n + 13*n to u*n + o and give u.
49
Express 5 + 17*c**2 + 5*c**2 - 65 - 16*c**2 in the form m*c**2 + k*c + q and give q.
-60
Rearrange -298*b + 87*b - 184*b to i + o*b and give o.
-395
Rearrange -145487 + 145487 - 661*n**2 to a + i*n + h*n**2 and give h.
-661
Rearrange -130*s**2 - s + 11955 - 11955 - s**2 + 2*s**2 - 3*s**2 + (0*s + s - 3*s)*(0*s + 0*s + s) - s**2 + s**2 + 2*s**2 to y*s + k*s**2 + h and give k.
-132
Rearrange -11 + 33 - 19 + 51*a**2 - 380*a**2 to the form p*a + q*a**2 + z and give q.
-329
Rearrange -31*u**3 + 9 + 8 - 2 - 13 + 4*u to x*u + h*u**2 + y*u**3 + i and give x.
4
Rearrange -7*z - 4 + z**2 - 7*z + 15*z + 18 to m*z**2 + l + s*z and give m.
1
Rearrange -4 - 3*c + 4 + 2 - 176*c**2 - 176*c**2 + 355*c**2 + 4*c**4 + c**3 to the form g*c + l*c**4 + x + o*c**3 + v*c**2 and give v.
3
Rearrange 4*q**2 - q**2 - 1539*q**3 + 1538*q**3 + q**4 - 2*q to the form z + n*q**3 + g*q + i*q**4 + r*q**2 and give r.
3
Express (5*r + 6*r + 0*r)*(12 + 1 + 22) in the form p + m*r and give m.
385
Rearrange -4 + 4 + 27*q**3 + 7*q - 4*q**3 + 0*q**3 - 1 to w + s*q + k*q**3 + y*q**2 and give k.
23
Express -j**3 + 2*j**2 - 83*j + 59*j - 2*j**2 - 8*j in the form q + b*j**2 + l*j**3 + u*j and give l.
-1
Express 5 - 33*t - 36*t + 64*t as m + z*t and give m.
5
Express (9 - 5 - a - 7 + a**2)*(24*a + 8*a + 3*a) as f*a**3 + j*a**2 + w*a + i and give f.
35
Rearrange (3*y**2 - 8*y**2 - y**2)*(2 + 1 - 8)*(-9 + 4 - 10 - 5) to z + x*y + n*y**2 and give n.
-600
Rearrange 153 + 126 - 279 - 60*w**2 to r + j*w + b*w**2 and give b.
-60
Rearrange h + 2*h - h + (-1 + 0 + 3)*(-3*h - 2*h + 3*h) + 99064 - 1102*h - 99063 - 1092*h to a*h + q and give a.
-2196
Rearrange 21*m - 18*m + 39*m**2 - m**3 - 2*m**2 + 3*m**3 to the form a*m**2 + y + u*m + t*m**3 and give y.
0
Express (5 - 5 - 3*o**2)*(-126 + 99 - 121 - 226) in the form h + m*o + p*o**2 and give p.
1122
Express -3*w**2 - 5*w - w + 12*w**3 - 16*w**3 + 0*w**2 as m*w**3 + u*w + z + g*w**2 and give m.
-4
Rearrange 5 + 14*o**4 + 7*o**2 - 3 - 15*o**4 - 10*o**2 - 8*o**3 to the form q + u*o**2 + j*o + c*o**3 + v*o**4 and give u.
-3
Express (-4 - 2 + 7)*(-32*r - 7*r + 20*r)*(2*r**3 + 2*r**3 - 5*r**3 + r**2) as l*r**4 + k*r + x*r**2 + p*r**3 + m and give p.
-19
Rearrange -3 + 3*j - 12 + 12 - 15*j**2 - j**3 to the form h + o*j**2 + m*j**3 + w*j and give w.
3
Express (0 - 1 + 2)*(-37 + 41 + 14 - 49*q) in the form t + c*q and give t.
18
Express (-t + t - 2*t + (-2 - t + 2)*(-2 + 0 + 1))*(-16*t**2 + 24*t**2 - 76*t**2) as i + c*t**2 + k*t + h*t**3 and give k.
0
Express -2*v - 203 - 935 + 0*v as g + p*v and give g.
-1138
Express -12*j - 10*j + 34*j + 63 - 8*j in the form n + k*j and give n.
63
Rearrange (0 + 0 - a)*(-8 - a + 8)*(-2 + 2 - 2*a**2) + 1 - a**4 - 1 + (2*a**3 + a**2 - a**2)*(6*a + 0*a - 8*a) to c*a**4 + i*a**3 + z*a**2 + k + x*a and give c.
-7
Express (778 + 1263 - 745)*(r + r - 3*r) in the form s + h*r and give h.
-1296
Rearrange 263 - 529 + 245 - 9*i**2 to the form n*i + v + l*i**2 and give l.
-9
Express -5*f + 11 - 13 - 12 - 3*f - 3 in the form n + p*f and give n.
-17
Express 5550*l - 5550*l + 1194*l**2 - 381*l**2 in the form y*l + t*l**2 + i and give t.
813
Rearrange -22235 + 22235 + 1011*f**4 + (4 + 2*f**2 - 4)*(f**2 + f**2 - f**2) to the form y*f**3 + d*f**2 + i*f**4 + m*f + o and give d.
0
Express (-3*a + a + 0*a)*(-6*a - 2*a + 4*a) + 347*a - 347*a + 45*a**2 + (-3*a + 5*a - a)*(-1 - a + 1) + 1 - a**2 - 1 as m + s*a + x*a**2 and give x.
51
Rearrange (-49 - 14 + 19)*(11 - 7 + 7)*(-5 + 5 - t**3) to z*t + w*t**3 + m + o*t**2 and give w.
484
Rearrange (-3 + 3 + 3*r)*(4 + r - 4) + ((-r - r - 4*r)*(4 - 3 + 0) + 2 + 2*r - 2)*(r + 2*r - 6*r) to k + x*r**2 + p*r and give x.
15
Express -139*o - 126*o - 41*o + 114*o as n*o + v and give n.
-192
Rearrange -70 - 265*m + 24 + 16 + 26 to the form v + j*m and give j.
-265
Express (-3*n + n + n - 2 + 2 + 2*n + (-2 + 0 + 0)*(-5*n - n + 4*n) + 4*n + 0*n - n)*(0 + 2 - 6) + 0*n - n + 0*n in the form z + k*n and give k.
-33
Rearrange (-d**3 + 0*d**3 + 4*d**3)*(-127 - 1452 - 1332 + 402 - 559) to the form f*d**3 + h*d + b*d**2 + r and give f.
-9204
Rearrange (996 - 454 + 343)*(s**2 - 2*s**2 - s**2) to o + v*s**2 + a*s and give a.
0
Express 54*p + 94*p**2 - 26*p - 28*p as u*p**2 + g + r*p and give u.
94
Rearrange (3*i - 3*i + 2*i)*(0*i - 4*i + 2*i) - 84*i**2 - 293*i**2 + 41*i**2 to a + f*i**2 + l*i and give f.
-340
Express (-4 + 4 - 2*f)*(309 + 93 + 133 - 91 + 9) as j*f + g and give j.
-906
Rearrange 25*w**2 + 2*w + 0 - 7 - 4 + 9 to t*w**2 + j + f*w and give t.
25
Rearrange 6595*z + 6002*z - 13286*z to c + k*z and give k.
-689
Express -53 + 324*p**2 - 24 - 2*p**3 - 323*p**2 in the form b + t*p**3 + a*p**2 + v*p and give b.
-77
Express 254 - 134 - 127 - x**2 - x in the form m*x + z + v*x**2 and give m.
-1
Rearrange 3*u**3 - 13*u + u**2 - 2*u**2 + 10*u - 1 to the form b + j*u + o*u**3 + k*u**2 and give k.
-1
Express -t**3 + 11*t - 9*t + 3*t**3 + 23 - 22 - 3*t**4 + 3*t**2 as z*t**4 + r*t + p*t**2 + l*t**3 + d and give d.
1
Rearrange (62*t + 34*t - 33*t)*(8 - 6 + 1)*(2*t + 2*t + 0*t) to the form h*t + w*t**2 + l and give w.
756
Rearrange 7*a**3 - 12*a - a - 4*a**3 - a**3 + 2 to the form s*a**2 + t + x*a**3 + m*a and give m.
-13
Rearrange (-2 + 3 + 1)*(-13 + 2 + 2*k + 14)*(2 + 5 - 2) to the form h + f*k and give f.
20
Rearrange -1 - 18326*t**2 - t**4 + 18302*t**2 - 2*t + 4*t**4 to the form a + d*t**3 + s*t + i*t**2 + k*t**4 and give k.
3
Rearrange (53 + 12 + 21)*(2*x - 3 + 3)*(-x - 2*x + 2*x) to the form q*x**2 + h + y*x and give h.
0
Rearrange 1276*u**3 + 3*u**4 + 1092*u**3 - 3175*u**3 - 2*u + 1239*u**3 - 5*u**4 to h*u**3 + g + x*u**2 + n*u + w*u**4 and give n.
-2
Rearrange 4 + 4*q**3 + 2*q + q**4 - 5 + 13*q**3 to i*q**2 + z + c*q**4 + k*q**3 + d*q and give k.
17
Express (-28 - 19 + 53)*(h**3 + 0*h**2 - 5*h**3 - 2*h**2) as p + u*h**2 + v*h + r*h**3 and give r.
-24
Rearrange -u**3 + 0*u**3 - 16*u**2 + 21*u**2 - 3 - 3*u**2 to o*u**3 + y*u + f*u**2 + w and give w.
-3
Express -r**2 + 8*r**2 + r**2 + (r + 2 - 2)*(-3*r - 6*r + 4*r) - 2*r**2 + 28 - 2*r - 28 in the form b*r**2 + m + f*r and give f.
-2
Rearrange 2*w**4 + 0*w - 3*w**4 - w + 1323*w**2 + 2*w - 1262*w**2 + 1 to the form a*w**2 + i + z*w**3 + b*w + c*w**
|
{
"pile_set_name": "DM Mathematics"
}
|
- -246. Let w = g + -737/7. What is the second smallest value in w, 3, l?
l
Let m = 7 + -3. Suppose -87 = -10*q - 4*q + 11. Let f = 7/8 + -3/8. Which is the third smallest value? (a) f (b) m (c) 2/11 (d) q
b
Let u be 204*((-511)/(-420) + (-20)/12). Let n = u - -92. Which is the third smallest value? (a) -8 (b) -0.1 (c) n
c
Let d = -5555.2 + 5555. Which is the third biggest value? (a) d (b) -1.54 (c) -4/5
b
Let w = -2038.3 + 2038. Which is the second smallest value? (a) 19/13 (b) 3/4 (c) w
b
Let t = 204 - 324. Let p = -121 - t. What is the second biggest value in -4, 0.4, 3, p?
0.4
Let h be 20/52*((-12)/5 + 2). What is the biggest value in 5/19, h, -2?
5/19
Let x = 2.2 + -2. Let i = 321566 + -321565. Which is the second biggest value? (a) 6 (b) -3/2 (c) x (d) i
d
Let r = 0.2493 - 0.5493. Which is the biggest value? (a) r (b) 3 (c) -0.68
b
Let h be (-2 - -2) + (-120)/400. Let t = -3.6 + 9. Let z = t + -0.4. What is the second smallest value in -2/11, z, h?
-2/11
Suppose -4*i + 42 + 18 = 3*y, i + 4*y - 15 = 0. Suppose 2*n - 14*t + 13 = -i*t, t = 5*n + 15. What is the third biggest value in 56, 4, n, 0.4?
0.4
Suppose 0*i + 36 = 18*i. Suppose 5*k - k = 4*v, v - i*k - 3 = 0. Which is the third smallest value? (a) -1/4 (b) 4/7 (c) v
b
Let x = -246.1 - -250.1. What is the third biggest value in 1, x, -3?
-3
Let u = 2.35 - 5.35. Which is the third smallest value? (a) -653 (b) -4 (c) u (d) -1/4
c
Let x = -214 - -110.5. Let m = -103 - x. Let f = -15/2 - -9. What is the third smallest value in -2/9, f, 0.05, m?
m
Let h be 6/3*(1 - 2). Let l = -37515/4 + 9379. Let p = -6.4 - -6. Which is the fourth biggest value? (a) p (b) h (c) l (d) 4/5
b
Let d = 229 + -321. Let w = -90 - d. Which is the third smallest value? (a) w (b) -0.1 (c) 5/4
a
Let u = -0.0242 + -56.5758. Let n = u + 57. Which is the second smallest value? (a) -0.06 (b) 1.3 (c) n
c
Let i = -314 - -304. Let g be -2*(1 - (-9)/i). Which is the second biggest value? (a) g (b) -2 (c) -5
b
Let u(f) = -2*f**3 - 4*f - 3 - 1 + 0*f**3 + 0. Let n be u(-1). What is the smallest value in -2/9, n, -36?
-36
Let b = 2.0971 - 1.7971. What is the third smallest value in -2/7, 7/2, b, -40?
b
Suppose 0 = 2*z + 8, 0 = -0*r - 4*r + z - 16. Which is the second biggest value? (a) 53 (b) -0.6 (c) r
b
Let x(p) = -p**3 - 27*p**2 + 66*p + 233. Let i be x(-29). Which is the biggest value? (a) -0.5 (b) 4 (c) 2 (d) i (e) -2
b
Let f = 0.056 + -0.356. Suppose 454*w - 105 = 433*w. What is the second smallest value in -2/5, -7, w, f?
-2/5
Let n = -0.1 - -0.2. Let q = 6459 + -6453. What is the fourth biggest value in -1/2, 2/11, q, n?
-1/2
Let s = -376 + 717/2. What is the second biggest value in 2, -1/2, s?
-1/2
Let a = -497.3 - -502.3. What is the smallest value in a, 29, -0.34?
-0.34
Suppose 2*p = -0*p. Let w = -1.9 + -2.1. Let z be (-22)/46*86/(-473). What is the third biggest value in p, 1, w, z?
p
Let y = 11 - 21. Let k = -15 - y. Let z = 3.0464 - 2.0464. Which is the second biggest value? (a) k (b) z (c) 0
c
Let a = 5.4138 - 0.4138. What is the smallest value in 0.085, a, 0.3?
0.085
Let t = -3297 - -16484/5. Let n be (15/10)/((-6)/(-223)). Let s = n + -56. What is the fourth smallest value in -3/2, s, t, 5?
5
Let h be 1/35 + 4/10. Let d(i) = -3*i + 115. Let n(k) = -k + 117. Let c(j) = -4*d(j) + 5*n(j). Let w be c(-18). What is the second smallest value in -4, w, h?
w
Let o = -865/147 - -25/147. What is the third smallest value in o, 1/2, 2/9?
1/2
Let d = 298 - 661. Let n = 361 + d. Which is the biggest value? (a) n (b) -212 (c) 0
c
Let x = -10996 + 10998. Which is the third smallest value? (a) -7 (b) x (c) 2/19 (d) -5 (e) 14
c
Let m = -1 - -0.5. Let t be 12 - ((-85312)/(-6336) - (-28)/(-18)). What is the biggest value in 1/2, t, -5/2, m?
1/2
Let r = 1342 - 1340.8. Suppose j + 3*h = 18, -4*j = -h + 2*h - 28. Suppose 0 = 4*g - j*g - 6. What is the third biggest value in 0.5, r, g, -5?
g
Suppose 0 = -5*y - 4*m - 19, 0 = 5*y - 2*m - 7 + 20. Which is the second smallest value? (a) y (b) 0.5 (c) -4/5
c
Suppose -5005 = -97*f + 84*f. Let y = 1157/3 - f. What is the fourth smallest value in y, 1, 0.3, 1/5?
1
Let t be (-27)/(-40) + (-96)/120. Let d(m) = -17*m - 44. Let h be d(-3). Which is the third biggest value? (a) -3 (b) h (c) t
a
Let b(w) = -2*w**2 + 10*w + 45. Let d be b(7). What is the second biggest value in -1/4, -0.4, d, -11?
-1/4
Suppose -85 = -5*r - 10. Let l = -21 + r. Let x be ((-2)/9)/(l/9). Which is the second smallest value? (a) 3 (b) 5 (c) x
a
Let m = 1642 + -1595. Let q = -52 + 52. What is the second smallest value in q, m, 3/5, 2?
3/5
Let t = 5.01 + -4.01. What is the third smallest value in t, -58, -4?
t
Let b(t) = 106*t - 2967. Let s be b(28). What is the second smallest value in -3/2, 1394, s?
s
Let p be 2 - (3 + (0 - -47))/(-2). Suppose -p = 3*b + 3*j, -3*b - 31 + 9 = 2*j. Let m = 0.31 + -0.11. What is the third biggest value in m, -1, b, 2?
-1
Let i(v) = -2*v**2 + 5*v - 8. Let h be i(9). Let t = -877/7 - h. What is the second smallest value in -1/13, 2/7, 0, t?
-1/13
Let q = 66086.1 + -66086. Let z = -1.15 - -0.05. What is the third smallest value in z, -5, -5/3, q?
z
Suppose -2*f + 4*z + 549 = f, 0 = -3*f - 5*z + 522. Let v = f - 182. What is the third biggest value in v, 0.07, 0?
v
Let n = -2151 + 45169/21. What is the second smallest value in -2, n, -8?
-2
Let j be 4/6*6/8. Let h = 126 - 132. Let f be (1/1)/((-14)/h + -3). Which is the smallest value? (a) j (b) 1 (c) f
c
Let v = 3670.9 + -3671.1. Which is the third biggest value? (a) 60 (b) v (c) -0.01 (d) 5
c
Let m be 3/(-6)*((-1360)/(-765) - (5 + -1)). What is the fifth smallest value in m, 0.1, -2/15, -1, 0.3?
m
Suppose 69*j - 51*j - 5940 = 0. Let u be 15/(-50)*j/(-72) + -1. Which is the second biggest value? (a) u (b) -2 (c) -0.2 (d) 22
a
Let z = -3/88 - 131/1320. Suppose -31*o = 193 - 38. Which is the fourth smallest value? (a) z (b) -4 (c) -1 (d) o
a
Let z = 6 - 5.6. Suppose 25 = -6*t + 73. Let p be -26 - -24 - t/(-3). What is the smallest value in p, -0.02, z, -1?
-1
Let w be 30/9*3 - 168/17. What is the fifth smallest value in 81, -2/15, w, -1/6, 0?
81
Let d = -492 + 6393/13. Let z(u) = -u**2 + 13*u - 34. Let l be z(3). Let i be 1/(-5) - l/(-30). Which is the second biggest value? (a) i (b) -0.1 (c) d
c
Let o = -299 + 7473/25. Suppose 4*h = 2*n + 50, -3*n - 4 = -h + 16. Which is the biggest value? (a) 3 (b) h (c) o
b
Let i = -161.13 + 162. Let f = 0.77 - i. Which is the fourth smallest value? (a) f (b) 23 (c) -3 (d) 2/3
b
Suppose -3*l + g = -4 - 3, 8 = 4*g. Let i be (-5 + l)*20/8. Which is the fourth smallest value? (a) 3 (b) i (c) 6 (d) -0.1
c
Let h = -211.099 - -0.099. Let q = h + 209. Let b(d) = -d + 4. Let w be b(8). What is the smallest value in w, -29, q?
-29
Let n = 75.6 + 9.4. Let g = 39 - n. Let q = -45.7 - g. Which is the third biggest value? (a) 0 (b) 5 (c) q
a
Let v(i) = i**2 - 13*i - 85. Let z be v(18). Suppose t - 9 = 4*x - 9*x, 2*x = t + z. Which is the biggest value? (a) x (b) 0.8 (c) 2/7
a
Let l = -205.3 - -212. Let x = 6.4 - l. What is the biggest value in -1/2, 1, x?
1
Let h = -0.0706 + 1.0706. Suppose -4*x - 8 = -0*x. Which is the fourth smallest value? (a) -0.1 (b) -7 (c) h (d) x
c
Suppose -5*y = 15*f - 10*f + 255, -5*f - 5 = 0. Let x be (y/30 + 2)*(-6)/4. Which is the second biggest value? (a) 5 (b) x (c) 3
c
Let y be -1 - (1 + 3)/(-4). Let l = -3.5 + 3.505. Let q = -9.005 + l. Which is the fourth biggest value? (a) y (b) -0.1 (c) q (d) -3/5
c
Let c = -269/6 + 45. Let s = c + -1/3. Let k = -0.944 + 3.944. What is the smallest value in k, 1/5, s?
s
Let v = 16.8 - -13.2. Let o = -35 + v. What is the third smallest value in -3, -0.3, o?
-0.3
Let o = -908/3129 + 2/447. Let c = -138 + 1244/9. What is the second smallest value in 4, c, o, 14?
c
Let b = -126 - -113.2. Let h = b - -7.8. What is the third smallest value in 1, h, -1?
1
Let m = -4.98201 + -0.01799. What is the second biggest value in 1, m, 2, -2/9?
1
Suppose 4*q + 37 = 5*t, 2*t = q + 14 - 1. Let v = 1132.8 + -1130.8. Which is the biggest value? (a) v (b) 0.07 (c) t (d) -1/2
c
Suppose -4*j - 2*q + 1862 = 0, q - 1389 = -3*j - 2*q. Suppose -j = v - 464. W
|
{
"pile_set_name": "DM Mathematics"
}
|
7. Let h = l + m. Which is the nearest to -2? (a) h (b) -0.3 (c) -2/5
c
Let q be ((-6)/8)/(16/(-2048)). Let u be 4/(-2) - q/(-56). Which is the nearest to -16? (a) -0.4 (b) u (c) -3
c
Let q(r) = r - 1. Let l be q(5). Let u = 0.4 + 2.6. Let g = -63.07 - -60.07. Which is the nearest to u? (a) 2/5 (b) g (c) l
c
Let p be 1*(0 + -7) + 0. Let g be ((-476)/(-16))/p - -4. Which is the nearest to g? (a) -0.5 (b) -12 (c) -2
a
Let o = 455.7 - 481.7. What is the closest to o in 0.2, -2, -1/12?
-2
Let s be (-448)/336*(-3)/(-4). Which is the closest to s? (a) -0.1 (b) -44 (c) 0.4
a
Let u = 79 - 391/5. Let l = -3.183 + -1.817. What is the nearest to -0.2 in l, u, 2/5?
2/5
Let t be 6/20*4/6. Suppose 43*a - 376 = -72*a + 199. What is the closest to 1 in a, t, 0?
t
Suppose 5*n = -m - 25 - 14, 4*m + n + 42 = 0. What is the closest to 0 in 24, 0.5, m, 4?
0.5
Let k = -53485/80232 + -1/26744. Suppose 4*v - 41 = -9. What is the nearest to 0.3 in v, -5, -3, k?
k
Suppose -4*p = -3*g - g - 8, 2*g = -4. Suppose -170*t + 166*t = 3*o - 25, 0 = -3*o - 2*t + 5. Which is the closest to -0.4? (a) o (b) p (c) 7
b
Let j be -1*(-8)/(-20)*70/154. Let r be (-2)/(-6) + (-8)/(-3). Which is the closest to 3? (a) r (b) j (c) 1/4
a
Let w = 39983 - 39944. What is the closest to 0.1 in w, -3/5, -5?
-3/5
Let g be 3 + 14/10 - 4. Let u = 90 + -31. Let m = -52 + u. Which is the nearest to -2/3? (a) g (b) -2/7 (c) m
b
Let h be ((-3)/27)/((-3)/(-9)). Let t = -105172/9 + 11686. Let x = 1 + -4. Which is the closest to 0.3? (a) t (b) x (c) h
a
Let c = -27605 - -27606. What is the closest to -16 in c, -5, -2/5, -2.2?
-5
Let r = 4.1728 - 0.1728. Which is the nearest to 1? (a) 1/8 (b) r (c) -9
a
Let u = -1.9 - -2. Let q = -5272 + 5267. Which is the nearest to u? (a) -2/11 (b) 44 (c) q
a
Let g = 0.97 + -0.97. Let o be 2*((-12)/(-3) - 18). Let v = -30 - o. Which is the closest to v? (a) 2/17 (b) g (c) -3/5
c
Let s = 317.684 - 318. Let o = s + -0.084. Which is the closest to -5/4? (a) 1 (b) o (c) -0.5
c
Let t = -0.8774 + -2.1226. Which is the nearest to 0? (a) t (b) 2 (c) 98 (d) 1/5
d
Let y = 79377 - 79376.7. Let q = 11.13 - 0.13. Which is the nearest to q? (a) -2/9 (b) -2/13 (c) 0.1 (d) y
d
Let n be ((-2)/(-8))/((-46)/((-14352)/(-117))). Let t be (-1)/1 - (-10)/12. What is the closest to n in -1/4, 0, t?
-1/4
Let x = -151 - -1663/11. Let d = 974419 + -974419. Let m = 7.4 + -7. Which is the nearest to d? (a) x (b) -0.2 (c) m
a
Suppose 3*k = -k. Let s be 7 + -12 + 7 + 8/(-2). Let j = -5/9 + -7/36. What is the closest to k in s, j, -1?
j
Let n = -61 + 28. Let h = 5.34 - -25.66. Let z = h + n. What is the nearest to z in 7, -5, 3/2?
-5
Let u = -3672 - -3672.19. Let p = 23 - 21. What is the closest to -1 in 7, p, u?
u
Let t = 16/75 + -2/25. Let y = t + 8/165. What is the closest to -1 in y, 5, -9?
y
Let g = -2/3417 - 10241/17085. What is the closest to -52 in -2/3, g, -0.4?
-2/3
Let t be (3/(-18))/(-1)*1. Let l = -13.94 - -16.1. Let w = l + -5.16. Which is the nearest to w? (a) -4 (b) t (c) -5
a
Let r = 9123 - 9122.6. Let l be -2 - 4/(-28)*13. Which is the closest to 6? (a) r (b) 2 (c) l
b
Let w = -19282 + 19277. What is the nearest to 0.1 in 4, w, -30.3?
4
Let i = 267 - 270.35. Let v = i - -3.15. Which is the closest to 26? (a) -1/9 (b) 3 (c) v
b
Let j = 0.335 + -0.335. Let h be 3/((-6)/(-4))*(2 - 0). What is the nearest to j in 1, h, -11?
1
Let f = 3/14 - 13/28. Let r = 8/15 - 1/30. Let j = 55991 + -55994. Which is the nearest to f? (a) -0.3 (b) j (c) r
a
Let x = -232 + 139. Let u = x + 92.96. What is the nearest to -0.5 in -3/4, u, -1/3?
-1/3
Suppose -9*j - 78*j = -383 + 35. Let q be 1 + -1*(5 - 1). Which is the closest to 1? (a) 0 (b) -0.4 (c) j (d) q
a
Suppose 5908 + 2144 = 121*r - 2475. What is the closest to 0.1 in r, -12, 2/11?
2/11
Let i = 2380 + -40458/17. Let y = -8 - -3. Suppose 5*r + 2*m + 1 + 0 = 0, 3*m = 3*r + 9. Which is the closest to 2/7? (a) r (b) i (c) y
b
Let w(j) = -j**3 - 7*j**2 - 6*j + 3. Let n be w(-6). Let v = 74 - 98. Let x be (-16)/v*(-3)/6. What is the closest to x in -3/2, 1, n?
-3/2
Suppose -183*z + 186*z = 15. Let c be 27/(-6)*(-10)/15. Let n = 8/9 + -23/36. What is the closest to -2/3 in c, n, z?
n
Let a = 2118.1 - 2118. Let g(x) = x**2 + 5*x + 8. Let p be g(-4). What is the nearest to a in 2.4, p, -1?
-1
Let u = -6123.2 - -6123.4. Let s = -5 - -7. Which is the closest to 1? (a) s (b) 0.1 (c) u
c
Let b(n) = n**3 - 5*n**2 + 4*n + 6. Let x be b(3). Suppose 6*r - r = x. Suppose -g = 1 - r. What is the closest to -2 in 2, g, -1/6?
g
Let t = -234 - 303. Let o = 537 + t. What is the closest to -0.3 in 1, -0.1, -3, o?
-0.1
Let u be (32/64)/((-2)/48). Let p be (-15)/u + (-410)/360. What is the closest to 2 in p, -3, 3?
3
Let s = 606 + -615. Let j = -8.9 - s. Let l = 5 + -2. What is the closest to 1 in j, l, 2?
j
Let s = 40.01 + 0.99. Let f = s - 41.1. Let v = -0.47 - 0.03. What is the closest to f in v, -0.2, 1?
-0.2
Let p(i) = 77*i**2 - 2*i + 1. Let a be p(1). Let u be 3/5 - a/60. Let f = 981 + -982. What is the closest to f in 2, -2/5, u?
u
Let j = -0.105 - -0.305. Let h be (74/(-76) + 1)*(3 - 1). Which is the nearest to 1? (a) h (b) j (c) 0.5 (d) -5
c
Suppose 24*z - 78 = -15*z. Suppose -z*n - 13 = 3*s, -3*s + 2 = n + 10. What is the closest to s in 103, 0, -1?
-1
Let u = -99 - -108. Let d be (1/27)/(9/243*u). Let t(s) = s**2 + 3*s - 4. Let y be t(-4). Which is the nearest to 2/7? (a) y (b) 0.03 (c) d
c
Let n = 4 + -3. Let h = 20.02 + -22.3. Let t = h - -2.08. Which is the nearest to t? (a) -2 (b) 2/9 (c) n
b
Let l = -2.2 + 0.2. Let g = 4.989623 - -0.010377. What is the nearest to 1 in g, 11, 0.1, l?
0.1
Let i = 653 - 751.1. Let j = 98 + i. Let q = 5.1 - 0.1. Which is the nearest to -1? (a) 0.5 (b) q (c) j
c
Let s = 33 - 29. Let d = 35.53 + -30.53. What is the nearest to -1/4 in d, s, 0?
0
Let s = -219241/882 + 32/441. Let n = s + 248. Let o = -8.01 - -8. Which is the nearest to o? (a) -4 (b) n (c) 5
b
Let v = 1880 - 1883. Which is the closest to 0? (a) v (b) 5.3 (c) -4/7
c
Let j be ((-357)/90 + 4)*(0 - (-5 + 1)). Which is the closest to j? (a) -2/11 (b) -4 (c) 0.3 (d) 2
c
Let y = -5.046 + -2.954. What is the nearest to 3/4 in 1, 0.2, 0.02, y?
1
Let l = 211 - 215. Which is the closest to l? (a) -2/5 (b) -2 (c) -0.24
b
Let q = -0.17 + 0.1. Let w = -0.23 + q. Let h = 21348/7 - 3050. Which is the closest to w? (a) 5 (b) -2 (c) h
c
Let t be (80 + -71)/((-243)/(-18)). Let n = 0.2 + 0.4. Let q = -0.06 - -1.06. What is the nearest to q in -2/15, n, t?
t
Let g = 1265/4512 + -31/96. What is the closest to -0.2 in 2/9, 0.5, g?
g
Let u be (2/(-5))/((-8)/15). Let g = 9.374 + -9.174. Which is the closest to 2/5? (a) u (b) g (c) 9/2
b
Let n = 153 + -148. Let r be n/10*((-1 - 5) + 2). Let z = 1.3 + -1. Which is the closest to r? (a) 0.5 (b) -0.4 (c) z
b
Let h = -0.0375 + 0.0449. Let i = h + -0.2074. What is the closest to i in 6, 3/4, 0?
0
Let n = 7521 - 7521. Which is the nearest to -54? (a) -0.2 (b) n (c) 0.2 (d) -0.4
d
Suppose 0 = -3666*j + 3547*j + 238. What is the closest to 2/3 in 4, j, 28.23, -3/2?
j
Let h be -11 - ((-2)/(-30) - 11). Which is the closest to h? (a) 0.3 (b) -46 (c) 4
a
Let f be (-3 + 4)/(24/88 + 9567/132). Which is the closest to 2/5? (a) f (b) -0.3 (c) -0.4 (d) -1/4
a
Suppose -3*d = 9*i - 146 - 169, 0 = -4*i - 24. What is the nearest to -0.1 in -2, d, 1/4?
1/4
Suppose a = -a + 2. Let n = -1 - a. Let f = 0.095 + -0.095. What is the closest to -1/4 in f, -1, n?
f
Let k = 113.46 - -19.84. Let o = 133 - k. Let r = -2.7 + 1.7. Which is the nearest to r? (a) 2/7 (b) o (c) 2
b
Let i = 417 + -413. Suppose 8 = 2*r + 10*u - 15*u, -16 = i*u. Which is the closest to -1/4? (a) r (b) -3 (c) 5
b
Let r be (-17 + 2)/5 - (-184)/64. What is the closest to r in 0.07, 3, 0.5?
0.07
Let q = -15.797 - -15.997. Let n = 0.26 - -0.04. What is the nearest to 2 in q, n, -6?
n
Let r = 84 - 79. Let p = 35.36 + -0.36. What is the closest to p in -2, -2/7, r?
r
Suppose -25*c = -161 - 102 + 13. What is the nearest to 1 in -3/2, -0.3, 1/5, c?
1/5
Let l = -131.3 + 10.3. Let y = 122 + l. Which is the nearest to y? (a) 2 (b) 2/9 (c) -1
b
Let r = -32.37 + 0.37. Let m = -170 - -170
|
{
"pile_set_name": "DM Mathematics"
}
|
-17101040*s**2 + 24199*s - 58.
-34202080
Differentiate 109177*f*t*u + 77*f*u**2 - 1917*t*u - 2*t + 822*u**2 wrt f.
109177*t*u + 77*u**2
What is the derivative of 5276425*p**4 + 12895620?
21105700*p**3
Find the third derivative of 2*q**4*s + 11767522*q**3*s + 2*q**2*s - 13083880*q**2 wrt q.
48*q*s + 70605132*s
What is the derivative of 3*f**3*w - 552*f**3 + 12*f**2 + 60385*f*w**2 - 5*f*w - 1102 wrt w?
3*f**3 + 120770*f*w - 5*f
Find the first derivative of -8731073*r**3 - 46035043 wrt r.
-26193219*r**2
Find the third derivative of 258432474*p**4 + 4*p**2 - 1098*p - 3231 wrt p.
6202379376*p
What is the second derivative of -120907859*a**2 - 118702602*a wrt a?
-241815718
Differentiate -104166566*n + 33065853.
-104166566
Find the third derivative of 3306805*m**3 + 15*m**2 - 224761*m - 2 wrt m.
19840830
Find the second derivative of -2*t**5 + 265952597*t**3 + 395364042*t.
-40*t**3 + 1595715582*t
Find the third derivative of 72114448*o**3 + 807*o**2 - 918*o + 20 wrt o.
432686688
What is the third derivative of 535683*m**4 - m**3 + 4*m**2 - 883*m + 147?
12856392*m - 6
Find the third derivative of 28506995*r*y**3 - 6*r*y**2 - 119547*y**2 wrt y.
171041970*r
Differentiate 65692790*w**3 - 74595970.
197078370*w**2
What is the third derivative of 11961973*j**3 - 87323284*j**2?
71771838
What is the third derivative of 13661178*h**6 - 2*h**4*y**2 - h**2*y**2 + 54*h**2 + h*y + 3*h - 418*y + 3 wrt h?
1639341360*h**3 - 48*h*y**2
What is the first derivative of -77*u*z**2 + 53247*u*z - 86659194*u - 2*z**2 wrt z?
-154*u*z + 53247*u - 4*z
What is the first derivative of -420211410*j - 265383474 wrt j?
-420211410
What is the third derivative of 783958*w**4 - 9*w**3 - 2*w**2 - w - 6589008 wrt w?
18814992*w - 54
What is the second derivative of 2*p**5 + 458*p**4 + 494*p**2 - 9286*p + 271?
40*p**3 + 5496*p**2 + 988
Differentiate -25480*q**2 + 1301*q - 300035355 with respect to q.
-50960*q + 1301
Find the third derivative of d*l*p**3 - 2487064*d*l - 6*d*p**3 - 7*l*p**3 + 33*p**3 + p**2 wrt p.
6*d*l - 36*d - 42*l + 198
Find the third derivative of 179909616*s**6 + 130*s**2 + 8528*s - 8 wrt s.
21589153920*s**3
What is the second derivative of 1105039*p**5*z - 1026*p*z + 15423*z + 2 wrt p?
22100780*p**3*z
What is the third derivative of 83819*n**5*o + 60*n**3*s**2 - 35*n**2*o - 2849*n*o*s - 25*s**2 wrt n?
5029140*n**2*o + 360*s**2
What is the second derivative of 58*p**3*t**3 - 55851*p**2*t**3 - 2*p*t**2 - 3*t**3 + 68*t**2 - 30*t + 2 wrt p?
348*p*t**3 - 111702*t**3
Differentiate 2019602*y - 1895089 with respect to y.
2019602
What is the second derivative of j*k**3 + 7226*j*k**2 + 21*j*k - 2*j - 21293*k**3 + 73*k - 189 wrt k?
6*j*k + 14452*j - 127758*k
What is the second derivative of 31*h**2*s**2*u + 640*h**2*s*u - 10*h**2*u + 57*h*s**2 + 24*h*s - h*u - 4*h - 14*u wrt h?
62*s**2*u + 1280*s*u - 20*u
Find the second derivative of 67716962*m**5 - 28516530*m.
1354339240*m**3
What is the second derivative of -25625*i**3 - 395*i**2 - 114*i - 51614 wrt i?
-153750*i - 790
What is the second derivative of -1776*s*w*z**2 + s*w*z - 34372*w**2*z**2 - w**2*z - w**2 + 6858990*w wrt z?
-3552*s*w - 68744*w**2
What is the third derivative of -27160559*f**4 + f**3*v**2 + 20*f**2*v**2 + 6720938*v wrt f?
-651853416*f + 6*v**2
Find the third derivative of -657206577*f**3 - 1056111126*f**2 wrt f.
-3943239462
Find the third derivative of 443*f**6 - 8148*f**3 + 30710960*f**2 wrt f.
53160*f**3 - 48888
Find the third derivative of 387*k**2*n**3 + 11*k**2*n - 5491*k*n**3 + 2*k*n - 39809*k - 2*n**3 - n**2 wrt n.
2322*k**2 - 32946*k - 12
Find the third derivative of -822*i**6 - 2*i**4 + 36917*i**3 - 9656*i**2 - 40*i + 31 wrt i.
-98640*i**3 - 48*i + 221502
What is the first derivative of -222*c**3*i**2 - 117*c*i**2 - 24*c - 106514*i**2 + 158 wrt c?
-666*c**2*i**2 - 117*i**2 - 24
What is the second derivative of 36*o**2*s**3 - 83*o**2*s**2 + 4*o**2*s + 120*o**2 + 28*o*s**3 - o*s**2 + 2*o + 1050*s**3 - 9*s**2 wrt o?
72*s**3 - 166*s**2 + 8*s + 240
What is the third derivative of 10441888*s**4 + 17083885*s**2?
250605312*s
Find the third derivative of -13*q**4 - 6574605*q**3 - 863022571*q**2 + q wrt q.
-312*q - 39447630
Differentiate 18695429*f*u - 71*u - 17283 with respect to f.
18695429*u
What is the second derivative of 2*h**2*i**2*j**2 + 4766*h**2*j**2 - 26*h**2 + h*j + 274367*i**2 + 905*j**2 wrt j?
4*h**2*i**2 + 9532*h**2 + 1810
What is the derivative of -13*l**2*v**2 - 246*l*v**2 - 39*l*v + 5614*v**2 - 86*v wrt l?
-26*l*v**2 - 246*v**2 - 39*v
Find the second derivative of -80*f*q**2*u**2 + 17381*f*q**2*u - 1641*f*q*u**2 - 3*f*u + 41*q**2 - 3*u**2 wrt u.
-160*f*q**2 - 3282*f*q - 6
What is the second derivative of 60*r**2*t**3 + 19385*r**2*t**2 - 2*r**2*t - 16*r*t + 3*t - 1077 wrt t?
360*r**2*t + 38770*r**2
What is the derivative of 2*x**3 - 9885958*x**2 + 12699066?
6*x**2 - 19771916*x
What is the derivative of 17*f**3*l - 13140*f**3 - 12*f*l*x + 2987*f*l + 1416*f*x - l wrt l?
17*f**3 - 12*f*x + 2987*f - 1
Find the third derivative of -102211*y**6 - 12*y**4 - 2*y**3 + 16248969*y**2 + 9 wrt y.
-12265320*y**3 - 288*y - 12
Find the second derivative of 8539150*p**2 - 103860*p + 294 wrt p.
17078300
Find the second derivative of -87*h**3*n**2*t + 29975*h**3*n*t**2 + h**3*n - 4*h**2*n**2*t + 2*h*n**2 - 124*h*t + 3*h - 247*n**2*t**2 wrt t.
59950*h**3*n - 494*n**2
What is the derivative of 76681267*l + 176121906 wrt l?
76681267
Find the second derivative of -5109*c**2*g**2 + 108*c**2*g - 65*c*g**2 + 2*g**2 - 887*g wrt g.
-10218*c**2 - 130*c + 4
Find the second derivative of -5592*u**5 + 392*u**3 + 5*u + 15325 wrt u.
-111840*u**3 + 2352*u
What is the third derivative of -45957852*m*z**3 - 28375*m + 830*z**2 wrt z?
-275747112*m
Find the third derivative of -82230878*t**4 + 33*t**2 - 2406317 wrt t.
-1973541072*t
Find the third derivative of 22*g**2*i**3 + g**2*i + 6*g**2 + 227*g*i**3 - 8*g*i**2 - 424*i**3 - 3*i**2 + 23740 wrt i.
132*g**2 + 1362*g - 2544
Find the third derivative of -4723867*j**2*v**3 - j**2*v**2 + 5227592*j**2 - 2*j*v**4 - j*v**2 wrt v.
-28343202*j**2 - 48*j*v
Find the third derivative of -77157820*u**3 + 69972*u**2 + 367*u.
-462946920
What is the derivative of 110793859*k**3*w - 1763*k**3 - 2*k**2*w - k**2 - 1409 wrt w?
110793859*k**3 - 2*k**2
Differentiate 21296*m**2*w**2 + 73006302*m**2 + 512*m*w**2 with respect to w.
42592*m**2*w + 1024*m*w
What is the third derivative of 699335*t**5 - 3*t**3 + 1513*t**2 - 1058 wrt t?
41960100*t**2 - 18
Find the first derivative of 27799512*y**2 - 49564282 wrt y.
55599024*y
Differentiate 6597981*i*u**3 - 9*u**3 - 4*u**2 + 4814*u wrt i.
6597981*u**3
Find the second derivative of 145801961*p**4 + 140050*p - 14.
1749623532*p**2
What is the second derivative of -5537932*o**3*v**2 - 19*o**3*v - 1061*o**2*v - 2*o*v - 2*o wrt v?
-11075864*o**3
Find the third derivative of -324669*n**6 + 21*n**4 - 2*n**2 - 154874466*n wrt n.
-38960280*n**3 + 504*n
What is the first derivative of -49858040*m - 91174102?
-49858040
Find the second derivative of 4355232*j**2 + 1018*j + 7161 wrt j.
8710464
Differentiate 32849422*t**3 - 35690342 with respect to t.
98548266*t**2
Find the third derivative of -2*k**3*s**3 - 677454*k**3 - 553*k**2*s - k**2 - 2*k*s**2 + 820*s**3 wrt k.
-12*s**3 - 4064724
Find the second derivative of 7*w**4 + 16583586*w**3 - w**2 + 853323444*w.
84*w**2 + 99501516*w - 2
Find the third derivative of -12*o**5 + 90*o**4 - 1000*o**3 - 188*o**2 - 6340*o.
-720*o**2 + 2160*o - 6000
Find the second derivative of 2637939*l**2*t + 1368246*l + 2*t wrt l.
5275878*t
What is the third derivative of 19833058*p**3 + 3592*p**2 - 24773*p wrt p?
118998348
What is the first derivative of 8*b*x - 252496227*b + 9869987*x**2 wrt x?
8*b + 19739974*x
What is the second derivative of 758458*p**5 - 3*p**3 + 2517203*p wrt p?
15169160*p**3 - 18*p
Find the third derivative of 7*p**5 + 8075603*p**4 + 70894*p**2 - p - 100.
420*p**2 + 193814472*p
What is the second derivative of 46*f**3*t**3 - 16*f**3*t + 86*f**2*t - 53968*f*t**3 - 22*f*t - f - 144*t wrt t?
276*f**3*t - 323808*f*t
What is the third derivative of -4*f**6 - 921*f**5 + 207*f**3 - 10646*f**2 - 69*f?
-480*f**3 - 55260*f**2 + 1242
Find the second derivative of -233782*h**3 + 836*h**2*i + 10*h*i + 2330391*h - 3*i wrt h.
-1402692*h
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming q is positive.
q**(179/11)
Simplify (v/(v/(v*v**(-38)))*v)/(v/(v*v**(-14)*v)) assuming v is positive.
v**(-49)
Simplify ((f/(f**(-1/9)/f))/f**9)**(2/9) assuming f is positive.
f**(-124/81)
Simplify (i*i**(-1/14))/(i/i**2)*(i**(-1))**(-34) assuming i is positive.
i**(503/14)
Simplify (q/q**(-3))/(q/q**(2/17))*(q**(-1/2))**(5/4) assuming q is positive.
q**(339/136)
Simplify g**(-5)*g**13 assuming g is positive.
g**8
Simplify (v**0/(v/(v/(v**1*v))))/(v**(-2)/(v*v**(-1/3))) assuming v is positive.
v**(2/3)
Simplify (z*z**(-5/2))/z**8*z**8*z/(z**(1/6)*z) assuming z is positive.
z**(-5/3)
Simplify (g**(-2/9)/(g**(1/7)/g))**(-6/11) assuming g is positive.
g**(-80/231)
Simplify q**3*q*q**(-6/11) assuming q is positive.
q**(38/11)
Simplify (b*b**1)**(-31)/((b**4*b)/((b*b**5*b*b)/b)) assuming b is positive.
b**(-60)
Simplify ((k/(((k/((k*k/k**(-5))/k*k)*k)/k)/k))/k)/(k*k/k**17) assuming k is positive.
k**22
Simplify (p**(1/7)*p)**20 assuming p is positive.
p**(160/7)
Simplify (c*c*c/(c/(c*c/(c/((c/c**(1/10))/c))))*c**(3/2))**(-8/7) assuming c is positive.
c**(-176/35)
Simplify v*v**(-7/6)*v*(v*v*v**(2/73)*v)/v assuming v is positive.
v**(1253/438)
Simplify (f*f**(-4)*f**1)/(f**(-2/3))**(-2/27) assuming f is positive.
f**(-166/81)
Simplify (m/m**0)**27/(m/(m**2*m)*m*m/m**3*m) assuming m is positive.
m**29
Simplify ((f*f*f**(3/4)*f*f)/f*(f/f**(-4/7)*f)/f)/(f**(2/13)/f**(-3)) assuming f is positive.
f**(789/364)
Simplify i*i**3*i*(i*i**(1/7)*i)/i*i*((i/(i**0*i))/i*i)**(-41) assuming i is positive.
i**(50/7)
Simplify (n**2*(n*n/(n*n*n/(n**1/n)*n*n))/n)/(n**7*n/n**(-3)*n) assuming n is positive.
n**(-14)
Simplify ((z**(-1/3)*z)**13)**(-12/5) assuming z is positive.
z**(-104/5)
Simplify (o/(o*o**7))/((o/o**(-6/7)*o)/o) assuming o is positive.
o**(-62/7)
Simplify x**8*x**(-2/7)*(x/(x**2/x))**(-9/8) assuming x is positive.
x**(54/7)
Simplify (g*g*g**8)**(-18) assuming g is positive.
g**(-180)
Simplify ((i**(-2/5))**(-9/4))**26 assuming i is positive.
i**(117/5)
Simplify ((q**(-1/5)*q)/q**(-5))/(((q/(q*q*q**(3/5)))/q)/(q**6/q)) assuming q is positive.
q**(67/5)
Simplify p**(-1/6)/(p/(p/(p/p**(-2))*p))*(p/p**(5/2))/(p**(-1/8)*p*p) assuming p is positive.
p**(-133/24)
Simplify (n**1/(n*n*n**(-6)/n))/(n/(n**(1/11)*n)*n/n**(-2)) assuming n is positive.
n**(34/11)
Simplify ((u**(-5)*u)/((u/u**(-2/9)*u)/u*u))**(-18) assuming u is positive.
u**112
Simplify (g**(-8)/g*g**8)**20 assuming g is positive.
g**(-20)
Simplify (v*(v/(v/v**(-2/15)*v))/v*v)/(v/(v/(v*v**(-2/9))))*(v/(v*v**1))**(-6/5) assuming v is positive.
v**(13/45)
Simplify (w*w*w/w**2*w*w)**49 assuming w is positive.
w**147
Simplify ((x**(-1))**(-26/3))**46 assuming x is positive.
x**(1196/3)
Simplify ((q**(1/4))**39)**(-22) assuming q is positive.
q**(-429/2)
Simplify r**(2/11)*r**(-2)*r*r*r**(1/7)*r**4 assuming r is positive.
r**(333/77)
Simplify (d**(-4/11)/d**(-9))**42 assuming d is positive.
d**(3990/11)
Simplify l/(l**(-17)/l)*l*l*l*l*l*l**15 assuming l is positive.
l**39
Simplify (m**(2/7)*m)**(-2/3)/(m*m**(1/3)*m/((((m*m*m**(-1)*m)/m)/m)/m)*m*m) assuming m is positive.
m**(-130/21)
Simplify (s**(-4/13)*s)/s**(-2) assuming s is positive.
s**(35/13)
Simplify (x**(2/5)*x*x)**(-34/7)/(x*x*x**1)**(-13) assuming x is positive.
x**(957/35)
Simplify (g/(g*g**13)*g*g*g**(-2/15)*g)**29 assuming g is positive.
g**(-4408/15)
Simplify (h**0)**(-3/19)*h**(-1/2)*h**0 assuming h is positive.
1/sqrt(h)
Simplify (h/(h/((h/(h*h**(-3)*h))/h*h)*h)*h)/(h**(-1/9)/h) assuming h is positive.
h**(28/9)
Simplify (h/(h*h**15*h))**(-6/5) assuming h is positive.
h**(96/5)
Simplify (((y**0/y)/y)**(-21))**(-20) assuming y is positive.
y**(-840)
Simplify (n*n*n**(1/4)*n)**(4/25)/(n**(-3/5)/(n/(n/(n*n**(-1/2)*n)))) assuming n is positive.
n**(131/50)
Simplify d**(-4)/d**(1/6)*(d*d**(-2/21))/d*d**(2/9)/d*d*d*d assuming d is positive.
d**(-257/126)
Simplify (l**33/l)/(l*l/(l*l**1)) assuming l is positive.
l**32
Simplify (v**(-1)/v)**37*(v/(v*v*v/(v/(v*v*v**(-10)))))/((v*v/v**4)/v) assuming v is positive.
v**(-64)
Simplify l/l**0*l/(l*l**(-3/2))*l assuming l is positive.
l**(7/2)
Simplify (((y/((y/(y*(y**(-3)/y*y)/y*y))/y))/y)/((((y**(-5)/y)/y)/y*y)/y))**16 assuming y is positive.
y**96
Simplify (b**(6/7)/b*b**(7/4))/((b**(-8)*b)/(((b*b*b**(-1/6)*b)/b)/b)) assuming b is positive.
b**(793/84)
Simplify (p**(-1/2)*p)**(6/11) assuming p is positive.
p**(3/11)
Simplify (((g*g**24*g)/g)/g)**(-8/3) assuming g is positive.
g**(-64)
Simplify (o/(o*(o*o*o*(o/(o/(o/o**20)))/o)/o))/(o/o**(2/9)) assuming o is positive.
o**(155/9)
Simplify (r**(-1/13)/r**(2/7))**(2/21) assuming r is positive.
r**(-22/637)
Simplify h**(-2/19)/(h**(-1)*h)*h**(-2/7)*h**(-3)/h assuming h is positive.
h**(-584/133)
Simplify (c**1*c)/(c**8*c) assuming c is positive.
c**(-7)
Simplify p**(1/2)/p*p*p/(p*p*p**0*p)*(p/(p*(p*p/p**(-1/3))/p))**16 assuming p is positive.
p**(-137/6)
Simplify ((o/(o/((o*o/o**(-1/4))/o*o))*o)/((o*o**(2/13))/o))**(2/29) assuming o is positive.
o**(161/754)
Simplify (k*k**(1/2))**(19/5)/((k*k/k**2)/k*k)**(-15/4) assuming k is positive.
k**(57/10)
Simplify (g/(g**(-1/3)/g)*g/g**0)/((((g*g*g/(g**2*g))/g)/g)/g**(-5/3)) assuming g is positive.
g**(11/3)
Simplify (j**(21/4)/j*j)/(j*j*j/j**(-17)*j*j*j) assuming j is positive.
j**(-71/4)
Simplify (l**(-9)/l)/((l*(((l*l**7)/l)/l)/l*l)/l)*(l**0)**26 assuming l is positive.
l**(-16)
Simplify ((d/(d*d/d**(2/13)))**(-49))**8 assuming d is positive.
d**(4312/13)
Simplify g**(-5/9)*g*g**(-3/5)/g assuming g is positive.
g**(-52/45)
Simplify (((h**(1/2)/h)/h)/((h*h*h**(2/5)*h)/h*h*h))**(-37) assuming h is positive.
h**(2183/10)
Simplify z**15/z**(-8) assuming z is positive.
z**23
Simplify (k**8*k)/k*k/(k/(k*k*(k*k**(-3/11)*k)/k)) assuming k is positive.
k**(118/11)
Simplify (h*h**15)**(-37) assuming h is positive.
h**(-592)
Simplify ((r*r/(r/(r*r**3))*r)/r)/r**(1/4) assuming r is positive.
r**(19/4)
Simplify ((k**(-1)/k)/k*k*k*k**2*k*k*k)/((k/k**3)/(((k*(k*k**(-2/7))/k)/k)/k)) assuming k is positive.
k**(33/7)
Simplify (t**(17/3))**(-2/7) assuming t is positive.
t**(-34/21)
Simplify (f/(f*f**(3/19)))/f*f*f*f**(-3/10) assuming f is positive.
f**(103/190)
Simplify (i**3/i*i)/i*(i/i**19)/i assuming i is positive.
i**(-17)
Simplify b*b/(b/(b*b**0*b))*b**(1/4)*(b**(2/5)*b)/(b**(1/9)/b) assuming b is positive.
b**(997/180)
Simplify (r**(1/10))**29 assuming r is positive.
r**(29/10)
Simplify (v**(-1)*v*v/(v**(-5/2)/v*v*v))/((v/(((v*v**(-2))/v)/v))/(v/(v**7/v)*v*v*v*v)) assuming v is positive.
v**(-5/2)
Simplify ((l/(l/(((l**14/l)/l)/l)))/l)**(13/5) assuming l is positive.
l**26
Simplify (f*f**(2/5)*f**(1/3)/f)**34 assuming f is positive.
f**(374/15)
Simplify (z/z**(-2/7))/(z*z**(-1/6)) assuming z is positive.
z**(19/42)
Simplify ((o/o**(5/3))/o)/(o*o**17) assuming o is positive.
o**(-59/3)
Simplify (k/k**(4/5))**(-37) assuming k is positive.
k**(-37/5)
Simplify (t*t*t**2*t*t)/(t*t**(-33)) assuming t is positive.
t**38
Simplify (t/(t*(t*t*(t*t*t**(-4/9)*t)/t*t*t*t)/t)*t*t**(-4/9)*t)/(t**4*t**1*t) assuming t is positive.
t**(-10)
Simplify (d*d/d**6*d**(3/2)*d)/((d/d**(2/11)*d)/d**(-1/6)) assuming d is positive.
d**(-115/33)
Simplify ((l**(2/15)*l*l)/l**(1/2))/((l/l**7)/l*l/(l/(l**(-2/3)/l))) assuming l is positive.
l**(103/10)
Simplify ((u**(1/3)/u)/((u*u*u/(u/u**(-6))*u*u)/u*u))/(u**3*u**(-2/7)/u) assuming u is positive.
u**(-8/21)
Simplify (w/(((w/w**(-27/2))/w)/w))/w**(-25) assuming w is positive.
w**(27/2)
Simplify (m**(-3/2))**(-37)*(m/((m*m**(2/5))/m))/(m/(m*m*m**(-4))) assuming m is positive.
m**(531/10)
Simplify (w/(w/(w/(w**(-7/2)/w)))*w**(3/2))**8 assuming w is positive.
w**56
Simplify (v/((v**(-1)/v)/v))**(-32)*(v**(-4)/v)/(v*v*v/(v*(v/((v**0/v)/v))/v)) assuming v is positive.
v**(-133)
Simplify ((v*v**(2/7))/v)**(6/13) assuming v is positive.
v**(12/91)
Simplify (t/(t*t**(-1/8)/t*t)*t*t*t)**50 assuming t is positive.
t**(625/4)
Simplify w**(-3/10)*w**17 assuming w is positive.
w**(167/10)
Simplify (l*l**3*l)**36 assuming l is positive.
l**180
Simplify ((i**(4/7)/i)/(i*i*i*i**(3/2)/i))/((i**(-4)*i)/i*i**(-3/4)) assuming i is positive.
i**(23/28)
Simplify (c*c/((c*c/((c*c**4/c)/c))/c*c*c))/c**(7/5) assuming c is positive.
c**(3/5)
Simplify ((w*w**(-3/2))/w)**(-17) assuming w is positive.
w**(51/2)
Simpli
|
{
"pile_set_name": "DM Mathematics"
}
|
6. Let a be o(v). Let k = -30 + a. Let w(c) = c**3 + 2*c**2 - 2*c + 2. What is w(k)?
-1
Let h(d) = -2*d - 5. Let f be 17/6 + 37/6 + -6. Determine h(f).
-11
Let y be -4*2/12*(-3 - 0). Suppose 3*i - 14 = -5. Let m(h) = 1 + 7*h + y*h - 3*h - i*h. Give m(-1).
-2
Suppose -122*z = -108*z - 28. Let c(p) = -6*p - 1. Suppose 3*m + 20 = -5*d - m, m + 4 = -d. Let u(w) = 6*w + 1. Let k(o) = d*c(o) - 5*u(o). Calculate k(z).
-13
Let v = 23 - 25. Let f be (-2)/4 - v/4. Let w(k) = k**2 - 1. Determine w(f).
-1
Let m(k) = -k**2 + 6. Let d = 3 - 0. Let q(r) = -r**2 - 2. Let o be q(0). Let v(g) = -g**2 - g + 7. Let w(p) = d*m(p) + o*v(p). Determine w(5).
-11
Let n(t) = 5*t + 1. Let z(x) = x**2 + 8*x + 2. Let f be z(-8). Suppose f*r = -u + 4, r = -2*u - 2*u - 5. Determine n(u).
-9
Suppose -3*m = k - 16, 0*k + 3*k = -m. Let j(g) = -g + 2. Calculate j(m).
-4
Let l(c) = -c**3 + 0*c + 11*c**2 + 2287 + 0*c**3 - c - 2271. Calculate l(11).
5
Let j(h) = 4*h + 27. Let m be j(-5). Let v(x) = -9 - m*x + 14*x**2 - 8*x**2 - 5*x**2. Calculate v(7).
-9
Let d(s) be the first derivative of 3*s + 16 - 1/2*s**2. What is d(7)?
-4
Let p be (-1 - 7)*(-1)/2. Suppose -5*c = -2*o - 113, 7*c = p*c + 4*o + 65. Let r = c + -18. Let a(k) = -k**2 + 5*k + 2. Determine a(r).
2
Let p(m) = 13*m**2 + m. Suppose 4*l - 2*i + 4 - 50 = 0, -l + 8 = 3*i. Suppose l*n - 1 = 12*n. Give p(n).
12
Let p(q) = 10*q**2 - 7*q + 6. Let s be p(1). Let w(x) = 5*x - 2*x + 3 - s*x. What is w(3)?
-15
Suppose 2*c - 4*i = -68, 0 = -5*c - i - 156 + 8. Let w be (-12)/c + (-6)/(-10). Let s(j) = w + 2*j + 2 - 3. Determine s(2).
4
Let f(k) = 4*k + 141. Let w be f(-37). Let b(r) = -2*r**2 - 11*r - 10. Give b(w).
-31
Let k be ((-243)/(-135))/(6/(-20)). Let y(d) = -6 - 2*d + 2 + d + 1. Determine y(k).
3
Let u(l) = -11*l**2 - 35*l - 48. Let c(v) = -2*v**2 - 3*v - 1. Let s(a) = -6*c(a) + u(a). Determine s(19).
-4
Let h(m) = -7 - 10 + 10 - 2*m + m**2. Let j be h(5). Suppose j*o - 3*o + 30 = 0. Let g(l) = -l**3 - 7*l**2 - 5*l - 2. Give g(o).
-8
Let v = 10 - 5. Suppose -v*y - 25 = 3*f, f - 10 = -0*f + 2*y. Let z be -2 + -5 - (f + -1). Let t(m) = -m**2 - 5*m + 3. Determine t(z).
-3
Let l(z) be the first derivative of -1/360*z**6 - 2/3*z**3 + 0*z + 0*z**2 + 7/120*z**5 + 3 - 1/6*z**4. Let t(g) be the third derivative of l(g). Calculate t(6).
2
Let x(v) = -3*v**2 - 3*v - 2. Let o(k) = -4*k**2 - 5*k - 1. Let y(j) = -4*o(j) + 5*x(j). Suppose 0 = -0*q + 4*q + 3*c + 28, 3*q - 4*c + 21 = 0. What is y(q)?
8
Let k(m) be the first derivative of -m**4/4 - 4*m**3/3 + 5*m**2/2 - m + 6. Calculate k(-5).
-1
Let l(h) = -h**3 - 9*h**2 - 7*h + 5. Suppose -31*j = -j + 240. What is l(j)?
-3
Let c(n) = -n - 1. Let u(x) = 20*x + 7. Let a(p) = 6*c(p) + u(p). Let j(l) = l**3 - 17*l**2 + 37*l - 335. Let y be j(16). What is a(y)?
15
Let a(d) = d**2 + 3*d - 5. Let t be ((-3)/4)/(117/(-520))*-3. Let p(i) = i**3 + 11*i**2 + 12*i + 15. Let u be p(t). Calculate a(u).
5
Suppose 0 = -2*q - 1 + 17. Let o(n) = 4*n**2 - 16*n - 7. Let p(w) = 3*w**2 - 13*w - 7. Let c(b) = 2*o(b) - 3*p(b). Calculate c(q).
-1
Let k(s) be the first derivative of -29*s**2 + 0*s + 9*s - 24*s**2 + 54*s**2 + 14. What is k(-8)?
-7
Let i be (-15 - -1)/(-4 - -2). Let g = 0 - -9. Let t(y) = -y + 9 + 8 - g. Determine t(i).
1
Suppose 62*z - 24 = 66*z. Let a(t) be the first derivative of t**2/2 + 2. Give a(z).
-6
Let u(k) = k**3 + 8*k**2 + 4*k + 6. Let c be u(-7). Suppose -5*m + c = 12. Let t(f) = 2*f - 1 - 6 + 4. Calculate t(m).
3
Let t(p) = -4*p**2 + 4*p - 3. Let j(n) = -n**3 - 10*n**2 - 12*n - 2. Let x be j(-8). Let b = x - -36. Determine t(b).
-11
Let f(g) = -g**2 + g + 1. Let s(u) = -5*u**2 + 10*u + 10. Let o = 44 - 38. Let y(p) = o*f(p) - s(p). What is y(-4)?
-4
Let a(b) = 3*b + 6. Let i(u) = 3*u - 9 + 10 + 4. Let n(o) = 6*a(o) - 7*i(o). What is n(-5)?
16
Let f(u) be the first derivative of 2*u**2 + 7*u - 7. Calculate f(-4).
-9
Suppose -5*g - 10 = 2*h - 2, -2*h = 3*g + 8. Let q(m) = 0*m - 14*m - m**2 + 8*m + g*m**2 + 5. Give q(-5).
10
Suppose 33 = 5*c - 34*j + 36*j, 5*c - 32 = -3*j. Let o(m) = -3*m + 14. Calculate o(c).
-7
Let x(b) = -b**2 - 3*b + 5. Let r be -4*32/(-32)*10/(-8). Determine x(r).
-5
Suppose -46*s = -51*s + 640. Let o = s + -129. Let i(v) = v**3 - 1. Calculate i(o).
-2
Let b(n) = n**2 + 7*n + 7. Suppose -3 = -6*k + 81. Let v be (0 + 8/6)*(-63)/k. Calculate b(v).
1
Let g(y) be the second derivative of y**5/10 - y**4/4 + y**3/6 - y**2 - y. Let q = -4 - -7. Suppose -2*p + q*p - 2 = 0. Calculate g(p).
4
Let v be (2 - (-5)/(-2))*(9 + -9). Suppose 3*h + 0*h = 9. Let a(s) = 4*s - 5*s + s**h + 0 + 2*s - 1. What is a(v)?
-1
Suppose 4*f - 30 = -f. Let n(k) = 0*k + k - k**3 - f*k**2 - 5*k. What is n(-5)?
-5
Suppose 0 = 2*y - 0 - 4. Let s be ((-3)/(-2))/(1/2). Let b(z) = s*z - 3*z - z**y + 2*z + 5 - z. Determine b(0).
5
Let k(w) be the first derivative of w**4/8 - w**3/3 + 13*w**2/2 - 12. Let y(r) be the second derivative of k(r). Let g = 41 + -37. Determine y(g).
10
Let i(t) be the first derivative of t**3/3 + 7*t**2/2 + 5*t + 14. Let b(s) = s + 1. Let m(g) = b(g) - i(g). Suppose 4*f + 16 = -0*f. Determine m(f).
4
Let g(m) = -1. Let t(u) = 4*u - 13. Let p(q) = 6*g(q) - t(q). Calculate p(-4).
23
Let a(u) = 2 + 0*u - 1 + 3*u. Let n(f) = -f**2 - 63*f - 654. Let w be n(-50). Give a(w).
-11
Let m(w) = -17*w**2 - 24*w. Let s(j) = 19*j**2 + 27*j. Let q(p) = 9*m(p) + 8*s(p). Determine q(1).
-1
Let r = -11 + 21. Let y be ((-4)/r)/(1/(-15)). Let c(o) be the second derivative of -o**4/12 + o**3 + o**2 + 195*o + 2. Calculate c(y).
2
Let b(q) = -q**2 + 2*q + 18. Let p be b(5). Let c(w) = -2*w + 2. What is c(p)?
-4
Suppose -2*c + w - 11 = 0, 3*c - 6*c = 2*w + 6. Let h(k) be the third derivative of k**6/120 + k**5/15 - k**4/12 + k**3/3 - 61*k**2. Determine h(c).
10
Let r(p) = -p - 1 + 2 + 0 - p**2 + 2*p**3. Let b = -60 - -105. Let s = b + -44. What is r(s)?
1
Let c(x) = -x**2 + 6*x - 8. Suppose -120 + 90 = -10*p. Determine c(p).
1
Suppose 14*r = -3*r. Let p(d) = 2*d - 11. Determine p(r).
-11
Let p be (-8)/(-32)*16*(-2 - -1). Let n(k) = k**2 + 4*k - 2. Calculate n(p).
-2
Let u(f) = -2*f + 14. Let i be u(0). Suppose -21 = -5*w + i. Let l(d) = -d**2 + 6*d + 5. Give l(w).
-2
Suppose 0 = -4*q - 2*p - 4, -4*q + 2*p + 0*p = 20. Let u be q - (5/(-1) - -3). Let f(z) = -4*z - 6*z - 9*z + 21*z - 1. Calculate f(u).
-3
Let c(o) = o**3 + 33*o**2 - 33*o + 40. Let l be c(-34). Let h(t) = -t**3 + 5*t**2 + 8*t + 5. Give h(l).
17
Let z(d) = -d**3 + 6*d**2 + 17*d - 11. Let s be z(8). Let n(h) be the second derivative of h**3/2 + 2*h**2 + h. Let x be n(s). Let w(t) = -t + 2. What is w(x)?
7
Let t(x) be the first derivative of x**2/2 + 2*x - 111. Let h = -18 - -12. Determine t(h).
-4
Let t(r) = 2*r**2 - 14*r + 4. Let b(l) = -4*l**2 + 29*l - 9. Let c(a) = 6*b(a) + 13*t(a). Let j(p) = -p + 14. Let y be j(8). Calculate c(y).
22
Let g = 24 - 18. Let x(f) = -7*f**2 + 16*f + 2. Let u(a) = -15*a**2 + 34*a + 3. Let p(o) = 6*u(o) - 13*x(o). What is p(g)?
4
Suppose 6*d + 3*d + 90 = 0. Let l be (-8 - 0)/((-1)/(-2)). Let q = d - l. Let g(c) = c - 1. Calculate g(q).
5
Let r(o) = o**3 - 4*o**2 - 6*o. Suppose -c - 5*h = -4 - 10, 2*c = -h + 10. Suppose c*j + 9 = -11, 5*j + 29 = 2*g. Suppose g - 17 = -3*a. Determine r(a).
-5
Let v(o) = o**2 - 14*o - 67. Let x be v(-4). Let m(i) = 2*i**2 - 3*i - 9. What is m(x)?
26
Let s(v) = -3*v + 0*v + v**2 + 0*v - v + 3. Suppose 0 = 21*u - 57 + 15. Give s(u).
-1
Let m(y) be the second derivative of -y**4/12 + 17*y**3/6 + 6*y**2 + y + 19. Calculate m(18).
-6
Suppose 55 - 95 = -20*x. Let v(j) = -j**3 + 3*j - 2. Calculate v(x).
-4
Let t(q) = 0*q + 5*q**2 - 7*q**2 - q + 1. Determine t(-2).
-5
Let z(v) be the first derivative of 1/2*v**2 + 7/6*v**3 + 2 - 5*v. Let f(m) be the first derivative of z(m). Calculate f(-2).
-13
Let u(a) be the third derivative of -a**5/5 + a**3/6 - 117*a**2. Calculate u(-1).
-11
Let y(i) = -i**3 - 9*i**2 - 8*i + 3. Let q be y(-8). Let t(m) = -10 + m + 11 + 3*m**2 - q*m**2 - m**2. Determine t(1).
1
Let t = 4395 + -4395. Let q(k) be the first derivative of -k**3/3 + k**2/2 + 9*k + 1. What is q(t)?
9
Let a(l) = l + 12. Let i = -194 + 194. Calculate a(i).
12
Let g be (4 + -2 - 0)*-2. Let t(q) = 2*q**3 - 2*q**2 - 9*q. Let u(v) = 3*v**3 - v**2 - 10*v. Let i(b) = g*t(b) + 3*u(b). Suppose 20
|
{
"pile_set_name": "DM Mathematics"
}
|
) -0.2 (c) x (d) 0
c
Let h = 1.4327 + 1.5673. Which is the third smallest value? (a) 7 (b) -0.13 (c) h (d) -9
c
Let j = -0.191 - 0.209. Let w = 4 - 3. Let z = -25 + 20. Which is the third biggest value? (a) w (b) j (c) z (d) -3
d
Suppose 33 = -1271*h + 1238*h. Let v = -2/13 - 16/65. What is the biggest value in h, -3.6, v?
v
Suppose -3*m + 8*m + 271 = 2*b, b = -3*m - 167. Let c = m - -50. What is the smallest value in -11, -2/7, c?
-11
Let q = -1/192 + -569/1344. Let n = -196 + 198. What is the fourth smallest value in 0.1, q, -0.4, n?
n
Let x = 29.9921 + 0.0079. Which is the smallest value? (a) x (b) -4 (c) 4 (d) 2/21
b
Let y be 2/(-14)*(-38 + 15 + 20). Which is the second biggest value? (a) 5 (b) y (c) 4 (d) 1.2
c
Suppose 53*x - 54 - 211 = 0. Which is the third smallest value? (a) 0 (b) x (c) -4/5 (d) -3 (e) -2/5
e
Let t = -3/386 - -11631/6562. Let v = 317.347 - 317.047. Which is the second biggest value? (a) -5 (b) v (c) t
b
Let n = 994/27 - 1012/27. Let f = 0.1 + -0.09. What is the third smallest value in 0, f, n, -0.07?
0
Let o = 66.5 - -8.5. Let q = 126 - o. Which is the third smallest value? (a) q (b) 3/2 (c) 5/2
a
Let h = 482/7 - 69. Let k = 30 + 17. Let u = -49 + k. Which is the third biggest value? (a) u (b) h (c) -0.3
a
Let v = 143 - 343. Let q = v - -201. Which is the third smallest value? (a) q (b) 0.07 (c) -4 (d) -0.01
b
Suppose -96 = -45*m + 13*m. What is the third smallest value in -0.2, 196, m?
196
Let f(x) = 3*x**3 - 72*x**2 - 75*x - 4. Let r be f(25). Which is the biggest value? (a) 0.146 (b) -1 (c) -5/8 (d) r
a
Suppose 33*l + 12*l = 225. Suppose 28*w - 6 = 27*w - 5*g, -l*w - 78 = -2*g. What is the third biggest value in -1/3, w, -0.2?
w
Let f = 39233 - 156933/4. Which is the biggest value? (a) -3 (b) 2/3 (c) f (d) 1/4 (e) 31
e
Let o = 12.35 + -12. Let y be 12/(-10)*(493/34 + -15). Let k be -5 + (-329)/(-63) - 376/72. Which is the third smallest value? (a) k (b) y (c) o
b
Let j = 2378 + -2377. Let k = 208.6 - 209. Suppose -5*i = -0*i + 20. What is the fourth smallest value in k, 0.4, j, i?
j
Suppose 12*n - 14*n + 4480 = -4*k, -4484 = -2*n + 3*k. Which is the biggest value? (a) 2 (b) n (c) 2/15 (d) 0.1
b
Let d(f) = f**2 + 4*f - 6. Let o be d(2). Suppose 0*z + 3*z - o = 0. Suppose -2*m + z = 4. Which is the third biggest value? (a) m (b) 3 (c) 3/7
a
Let u = -399 + 381.3. Let k = 14 + u. Let q = k - -3.8. Which is the third smallest value? (a) q (b) -6/5 (c) -3
a
Let d = 0.3 + -1.3. Let b = -368 + 1183. Let h = 810 - b. What is the fourth biggest value in h, -8, d, -0.3?
-8
Let v = 6576 - 39455/6. Which is the fifth smallest value? (a) 4 (b) 0.3 (c) 0.05 (d) -0.004 (e) v
a
Let r = -5.094 - -5.294. Which is the second biggest value? (a) r (b) 1 (c) 65 (d) 2/13
b
Let r = -683 + 683.3. Suppose 0 = 4*p - 2*p - 8, -13 = -5*m + 3*p. What is the third biggest value in -3/5, r, m, 2/3?
r
Let s = 24 + -24.265. Let d = s + -0.035. Which is the second smallest value? (a) -2/5 (b) d (c) 2/7
b
Let i = -1337 + 14706/11. Which is the smallest value? (a) 1 (b) -3 (c) i (d) -9
d
Suppose 4*f - 8 = 0, 2*f = 6*k - 11*k + 4. Which is the biggest value? (a) -0.1 (b) -0.4 (c) -2/23 (d) k
d
Let z = -4 + 8. Let i = -58065 + 754841/13. Which is the second smallest value? (a) 1/3 (b) z (c) 2/5 (d) i
a
Let t = -545835/68 + 8027. Which is the third biggest value? (a) 2 (b) -1 (c) t (d) -0.4 (e) -7
d
Let q = 2.691 + -2.791. Which is the third biggest value? (a) 5 (b) q (c) -0.3 (d) -441 (e) 1
b
Let p = -672 + 656. Let h = -14 - -24. Let o = p + h. Which is the smallest value? (a) -4 (b) o (c) 5
b
Let j = -0.8878 - -1.0878. Which is the smallest value? (a) 1/3 (b) 176/7 (c) j
c
Let y = 0 + 0.5. Let n = -2948 - -85484/29. Let k be -7*3/(-4) + 558925/(-84900). What is the biggest value in y, n, k?
y
Let o = -949.17 - -945. Let p = 0.17 + o. Let n be (10 + 194/(-18))*6/21. Which is the fourth smallest value? (a) n (b) 0.3 (c) p (d) 3
d
Let w = 791 - 735.7. Let t = w + -63.3. Which is the second biggest value? (a) -9 (b) t (c) 2/11
b
Let p = 13.4 + 3.5. Let u = 16.9 - p. What is the second biggest value in u, 2, 5, 0.3?
2
Let u = 2808 + -2810. Let h(p) = -p**3 - 6*p**2 - 5*p + 3. Let o be h(-4). Let k = o - -13. Which is the smallest value? (a) 0 (b) u (c) k (d) 3/8
b
Let m = 529.5 - 529.7. What is the biggest value in m, -7, 165?
165
Let i = 0 - 0.5. Let h = 69.325 - 72.325. Which is the third biggest value? (a) -5 (b) 0.1 (c) h (d) i
c
Suppose -2*y = -0*q - 4*q, 0 = 2*y + 5*q - 45. Which is the biggest value? (a) y (b) -10 (c) 4 (d) -1
a
Let q be (-22)/(-8) + 25/(10 + -15) - -2. Suppose -4*d - 22 = -26. What is the third biggest value in 0.14, 2/11, q, d?
0.14
Let j = 108 - -96. Let b = j + -2242/11. What is the second biggest value in b, -6, -3?
-3
Let o be (-1 + 2)*(26 + -4). Suppose 17*t = o*t - 5. Let i = t - 6/5. Which is the fourth biggest value? (a) 4/5 (b) 0.1 (c) i (d) 5
c
Let f = 0.1582 + 0.1418. What is the second biggest value in f, -2/5, -125?
-2/5
Let s = 2 + 1. Let d = 4.54 + 0.46. Let r = -4 - -3. What is the smallest value in 4/5, d, s, r?
r
Let x = -134 + 131. Let h be 3 - (-5 - 42)*1/(-15). What is the fourth biggest value in -5, x, 10, h?
-5
Let r = 27095 - 27094.7. Which is the third smallest value? (a) 700 (b) 1 (c) -2/13 (d) r
b
Let h = -98/11 - -96/11. Suppose -4*l - 13 = -3*t - 2*l, -30 = -5*t - 5*l. Which is the fourth biggest value? (a) 0 (b) t (c) h (d) -7
d
Let f = 24112/9 + -2679. Which is the third smallest value? (a) f (b) 127 (c) 0
b
Let x be 50/88 + (297/(-44))/9. Which is the fifth smallest value? (a) x (b) 3 (c) 0 (d) 216 (e) -3
d
Let w = -1.28 - -0.28. Let s = -16.96 + 45.96. What is the third biggest value in 5, w, 0.5, s?
0.5
Suppose 4*t + i + 8 = 0, -4*i + 4 = -2*t - 6*i. Let y be (176/(-770))/(((-12)/(-15))/(-1)). Which is the biggest value? (a) 3 (b) t (c) 8 (d) y
c
Suppose 0 = 5*w - 4*d - 11, 5*d = 3*w + 9 - 26. Let g = -4.424 + 4.474. What is the second biggest value in g, 0.02, w?
0.02
Let k = -236842/27 + 8772. Which is the second biggest value? (a) k (b) 12 (c) 6
c
Let w = 291.4 + -291.1. Let s = 0.1 + 0. Let q = w - s. Which is the third biggest value? (a) 0.7 (b) -1/5 (c) q (d) 3
c
Let v = -7.5012 + 7.49. Let q = -0.1112 - v. Which is the biggest value? (a) -5/2 (b) q (c) 3/2
c
Let l = -4.163 - -4.663. Let v = 0.1 - -4.9. What is the fourth biggest value in -0.5, -1/8, l, v?
-0.5
Let u = -0.18 + 11.18. Let y = u - 14. Let t be (-35)/42 - 11/(-24). Which is the biggest value? (a) -4 (b) y (c) t
c
Let b = -146 + 1020/7. Suppose 12*k + 588 = 5*k. Let u = 87 + k. What is the second smallest value in b, 0, -0.4, u?
b
Let r be 2*(-18 - (-3 + -7)). Let z be (-1)/(1 - 5)*r. Let n = 11632/259 + -314/7. What is the third smallest value in n, z, -2/19?
n
Let c(o) = -6*o - 4. Let m be c(-3). Let l be (-6)/22 + 496/528. What is the smallest value in 0, l, m?
0
Let z = -8.5871 + -0.4129. Which is the second biggest value? (a) z (b) 0.4 (c) 0.7 (d) 3/5
d
Suppose 0 = -12*u + 5*u + 21. Suppose z + u*z + 127 = -5*v, v = -2*z - 23. Let c = 30 + v. What is the smallest value in -1, 1, c?
-1
Let g(r) = r**3 + r - 4. Let f be g(0). Let l = -336.02 + 0.02. Let y = 333 + l. Which is the smallest value? (a) y (b) 0.2 (c) f
c
Let u = 33 + -33.3. Let p(t) = 3*t - 29. Let f be p(11). Which is the third smallest value? (a) 2 (b) u (c) f (d) 5
c
Let f = -0.979 - -0.479. Which is the second smallest value? (a) f (b) 1 (c) 47 (d) -2
a
Let w be 2 + (-5)/(-6 + -4). Let t = 42/29 + -55/58. What is the second smallest value in w, t, 0.3, -1/8?
0.3
Let z = -150 + 321. Let v = 171 - z. Which is the second biggest value? (a) 0.5 (b) 3 (c) 0.03 (d) v
a
Let r(q) be the first derivative of -5*q**2/2 - 7. Let m be r(-4). Suppose m = 6*f + 8. What is the fourth biggest value in f, -3, 0.1, 5?
-3
Let p be (3/((-12)/10) + 1)*288/(-216). Which is the biggest value? (a) 59 (b) -0.4 (c) p
a
Let t = -3.9 - -3.5. Let d(s) = -s**2 + 11*s - 21. Let o be d(8). What is the biggest value in t, o, -6.1?
o
Let d = -3099/24220 + -3/4844. Which is the biggest value? (a) 4/7 (b) 3/2 (c) d
b
|
{
"pile_set_name": "DM Mathematics"
}
|
or of a and 12?
6
Suppose 20*n = 2*i + 18*n - 310, 467 = 3*i - 5*n. Calculate the greatest common divisor of 539 and i.
77
Let j(o) = o - 3. Let c be j(9). Suppose -15*q + 117 = -c*q. Calculate the highest common factor of q and 26.
13
Let h = -18 + 94. Suppose -4*m + h = 4. What is the greatest common factor of m and 9?
9
Suppose 9*t = 11*t. Suppose -n + 0*n + 2 = t. Calculate the highest common factor of 18 and n.
2
Suppose -2*f = -6*f + 1136. Suppose -5*n = -0*n + 2*u - f, -u + 226 = 4*n. Calculate the greatest common divisor of 14 and n.
14
Let r = 2 - -6. Suppose 5*n - 339 = 2*n. Let k = n + -49. Calculate the highest common divisor of k and r.
8
Let b be (2 - 0)/(((-10)/16)/5). Let x = 43 + -22. Let i = b + x. Calculate the greatest common factor of i and 35.
5
Let k(r) = r**3 + 15*r**2 - 20*r - 31. Let u be k(-16). Calculate the greatest common divisor of u and 11.
11
Let b = 96 + -63. Let p be (110/b)/((-4)/(-6)). What is the highest common factor of 25 and p?
5
Suppose 5*y + 26 = 2*j, 9 = -j - 3*y - 0*y. Suppose 0 = 3*n + j, 3*n + 237 = -0*c + c. Let u = -13 - -39. What is the highest common divisor of u and c?
26
Suppose 4*q = -5*v - 5, 4*v + 6 - 23 = q. Let r = 19 + -17. Suppose 0 = r*x + v*x - 80. What is the greatest common divisor of 80 and x?
16
Let c(u) = -u**3 - 10*u**2 - 10*u - 10. Let m be c(-11). Suppose -5*b + m + 69 = 0. Calculate the highest common divisor of 29 and b.
29
Let y(h) = 8 + 2*h + h**2 - 8*h**2 + 19*h + 6*h**2. Let o be y(16). What is the highest common divisor of o and 8?
8
Let w(u) = u**3 - 6*u**2 + 6*u. Let o be w(5). Suppose 3*f + 9 = 0, 0 = -b + o*f - 5 + 22. Suppose -b*n = n - 297. What is the highest common factor of n and 9?
9
Let c(j) = 5 - j**3 + 11*j**2 + 2*j - 10 + j + 2. Let w be c(11). What is the greatest common factor of 60 and w?
30
Suppose -126*l + 127*l - 96 = -3*a, 64 = 2*a + l. What is the highest common divisor of 440 and a?
8
Let s(i) = -i + 16. Let p be s(1). What is the highest common factor of p and 75?
15
Suppose 0*p = -4*p + y + 49, 0 = -4*p + 2*y + 50. Let b be (-2 + (-50)/(-4))/(p/64). What is the highest common divisor of 84 and b?
28
Let h = -4 + 5. Let d(i) = -5*i - 27*i - 7*i - h. Let v be d(-2). Calculate the greatest common divisor of 7 and v.
7
Let o be ((-4)/(-2) - 1)*11. Suppose 0 = -5*f - p - 175, 3*f = 2*p + 68 - 186. Let y = -25 - f. Calculate the highest common factor of y and o.
11
Suppose -4*u - 54 = -94. Calculate the greatest common factor of u and 6.
2
Let l = 178 - 143. Suppose 37 + 14 = 3*g - d, 2*g - d - l = 0. What is the highest common factor of g and 2?
2
Let i(l) = -3*l - 5 - 7*l**2 - 6*l**3 + 5*l**3 + 6*l. Let k be i(-9). Suppose -d = d - 104. Calculate the highest common divisor of k and d.
26
Suppose 4*u - 360 = -4*x, 49*x + 477 = 54*x - 4*u. What is the greatest common factor of 3 and x?
3
Suppose 7*x = 2*x + 240. Let y = 22 - -10. What is the greatest common factor of y and x?
16
Suppose 21*r - 3276 = -21*r. What is the highest common divisor of r and 819?
39
Let h(b) = 8*b - 28. Let n be h(11). Suppose -2*a - 2*a + 8 = 0. Suppose a*q - n = -q. Calculate the highest common divisor of q and 5.
5
Let x(a) = -a**3 + 7*a**2 + 7*a + 6. Let k be x(8). Let l be (8/10)/(k/(-60)). What is the greatest common factor of l and 6?
6
Let z(g) = g**3 + 4*g**2 - g - 10. Let b be z(3). Let l = b - 41. Suppose -5*h + 14 + 1 = 0. Calculate the highest common factor of h and l.
3
Suppose -3*j + 53 + 43 = 0. Let m = j + -26. Suppose 0 = m*w - w - 45. Calculate the highest common divisor of 27 and w.
9
Let r(u) = -2*u**2 + 3*u + 5. Let l be r(-2). Let g be (-2)/l - (-748)/36. Calculate the greatest common factor of g and 147.
21
Let r be 6/4 - ((-42)/4)/3. Let k be (2 - 1) + -1 + 0. Let b = r - k. What is the highest common divisor of 1 and b?
1
Suppose 234 + 45 = f. Let c = -490 - -521. Calculate the highest common factor of c and f.
31
Let o(z) = 3*z + 3 - 8 + 7*z. Let x be o(4). Let p(r) = r**2 - 29*r + 59. Let l be p(27). What is the highest common divisor of l and x?
5
Let n(o) = -o + 1. Let b(v) = -2*v + 6. Let q(g) = -b(g) + 3*n(g). Let h be q(-4). What is the greatest common divisor of 2 and h?
1
Suppose 4*s = -i + 3403 + 1017, 5*s - 5*i - 5525 = 0. What is the greatest common divisor of 255 and s?
85
Let a(u) = -u**2 + u + 6. Let z be a(-2). Suppose -5*l + 71 - 1 = z. What is the highest common factor of l and 98?
14
Let y = -15 + 21. Let b be ((-2)/y)/(8/(-96)). Suppose -5*h - b*d = -151, h + 4*h - 115 = 5*d. What is the greatest common factor of h and 9?
9
Let u = 24 + -40. Let c be 2*u/(-6)*(-24)/(-16). Let m be (2/4)/(2/8). Calculate the highest common divisor of c and m.
2
Let o(f) = f - 7. Let t be o(-1). Let l(n) = n + 17 + 0*n + 0*n. Let j be l(t). What is the greatest common factor of j and 45?
9
Let d(k) = 7*k**2 - 4*k + 13. Let n be d(9). Calculate the highest common factor of 17 and n.
17
Let g be (2 - (-5)/(-1))*-1. Suppose 2*n + 0*n - 2 = 0. Let w be 3 + (n + 0 - -2). What is the highest common factor of w and g?
3
Let x(d) = 31*d - 14. Let y be x(2). What is the greatest common factor of y and 552?
24
Let y = 760 - 718. What is the highest common factor of 2 and y?
2
Let r(t) = t + 31. Let n be r(-22). Let f be 201/n + (-24)/(-9) + -3. Calculate the highest common divisor of 242 and f.
22
Suppose 0 = 8*m + 45 - 205. Suppose 0*j + 5*j - m = 0, -3*j - 244 = -4*n. What is the greatest common factor of n and 8?
8
Suppose 0*n = -2*n + 374. Let h(b) = -b**3 - 4*b**2 - 44*b - 228. Let f be h(-5). What is the highest common factor of f and n?
17
Suppose 7*b - 2502 = 536. What is the highest common divisor of 62 and b?
62
Let p(v) = v**2 + 5*v - 1. Let r be p(-9). Let g = 43 - r. Calculate the highest common factor of 88 and g.
8
Let m be 171/456 + 45/8. Calculate the greatest common factor of 124 and m.
2
Let v = 184 + -127. Suppose -8*r = -5*r - v. Calculate the greatest common factor of 19 and r.
19
Let a(j) = -4*j - 17 - 9*j - 3*j - 2. Let l be a(-2). Calculate the greatest common factor of l and 91.
13
Let u = -237 - -421. Suppose u + 20 = 6*p. What is the highest common factor of 51 and p?
17
Let b(x) = x**3 + 4*x**2 + 12*x + 27. Let v be b(-2). Calculate the greatest common factor of 913 and v.
11
Let a(w) = 5*w**2 + 8*w - 1. Let d = 55 + -60. Let m be a(d). Calculate the highest common factor of m and 14.
14
Suppose 4*s - 188 = 5*t, -s - s = 5*t + 176. Let j be 9/(t/16) - -6. Suppose -3*y + 17 = j, 2*m - 89 = -y. What is the greatest common divisor of 21 and m?
21
Let f(b) = -b**3 + 6*b**2 - 7*b + 6. Suppose 3*t - 7 = 2*t. Let z = t + -3. Let h be f(z). Calculate the highest common factor of 15 and h.
5
Let l(s) = -s**3 - 6*s**2 - 10*s. Let k be l(-3). Let j be (-3 + 1)/(k/(-15) - 0). Calculate the greatest common divisor of 50 and j.
10
Suppose 5*f = 4*y - 92, -2*y + 16 + 0 = 5*f. Suppose g - 143 = 1. What is the greatest common divisor of y and g?
18
Suppose -187 = -3*c - 2*a, 5*a + 154 = 4*c - 126. Suppose -2*y = -2 + 6. Let b be 1*27 + 2/y. Calculate the highest common factor of b and c.
13
Let v be (2/((-8)/5))/(2/(-8)). Let u be 4 + (0 - 3) - -1. Suppose -u*j + 4*j = 2*f - 30, -4*f + 61 = -v*j. What is the greatest common factor of f and 98?
14
Suppose -2*o = 6, -2*o + 7*o + 167 = 2*y. What is the greatest common divisor of y and 171?
19
Suppose 4*m = 3*h - 2689, -45*m = 2*h - 50*m - 1802. Calculate the highest common divisor of 81 and h.
81
Let d(t) = t**2 + t + 78. Let l be d(-13). Calculate the highest common divisor of 78 and l.
78
Suppose 0 = d - 4*x - 166 + 10, 0 = -x + 1. Calculate the highest common factor of d and 720.
80
Suppose 3*p = -0*p. Let y be p - (2 + -1) - -17. Let l be 9/(-6)*-1*64/6. Calculate the greatest common factor of y and l.
16
Suppose 0 = -10*n + 7*n - 87. Let z = n - -48. Calculate the greatest common divisor of z and 95.
19
Suppose t - 187 + 15 = 2*d, 4*t - 660 = d. Calculate the greatest common factor of 41 and t.
41
Let x be ((-4 - 2) + 0)*(-16)/24. Let q be x + 0 - (-5 - 2). Suppose -3*a - 2*y + 4*y = -293, 0 = -4*y + 8. What is the highest common factor of a and q?
11
Let u be 1 - (-1 - (-11 - 1)). Let q be (12/u)/((-2)/40). Suppose -6*p + 5 = -139. What is the highest common divisor of p and q?
24
Let g(
|
{
"pile_set_name": "DM Mathematics"
}
|
n = 0.3 + -0.3. Sort 1/6, n, o in increasing order.
n, 1/6, o
Suppose 5*r = -5*b + 11 + 154, 105 = 3*r + b. Let o be (24/(-84) - 522/(-14))*-1. Let m = o + r. Sort -3, 3, m.
-3, m, 3
Let z = 10/7 + -73/56. Let o = -0.1 + -0.06. Let r = -0.15 - o. Sort z, -0.4, r in descending order.
z, r, -0.4
Suppose -i - 4*c = 10 - 23, 37 = 4*i + c. Sort -3, i, 1/11.
-3, 1/11, i
Let m be (-2)/(-9) - 210/(-27). Let x be (-1)/(-4) - 98/m. Let w be 8/x*12 + 4. Sort 4, 1, w.
w, 1, 4
Let l = -2.8 + 3. Let c = 45.3 - 44.7. Sort -2, c, l in ascending order.
-2, l, c
Let r = -7 + 4. Let d be 1*0*(-2)/10. Suppose -5*m + 0*m + 4*j = d, -2*m = -j. Put r, m, -4 in decreasing order.
m, r, -4
Let r be 1035/21 - (-18)/(-63). Let i = 44 - r. Put 7, 0, i in descending order.
7, 0, i
Suppose -51*h = -57*h - 66. Let x = h - -6. Sort -1, x, 3.
x, -1, 3
Let u(t) = 3*t**3 + 2*t**2 + 3*t + 6. Let s(o) = -5*o**3 - 3*o**2 - 6*o - 11. Let k(x) = 4*s(x) + 7*u(x). Let f be k(-3). Put -1, f, 0 in ascending order.
f, -1, 0
Let d = -0.036 - -2.136. Suppose 77*z = 81*z + 4. Sort d, 2, z in descending order.
d, 2, z
Let l be (7/(21/(-6)))/(-2). Put l, 4, -2, -3 in decreasing order.
4, l, -2, -3
Let i = 11.353 - -0.047. Let l = i + -11. Let z = -18.5 + 14.5. Sort z, -1, l in ascending order.
z, -1, l
Let d = 0.23 + -14.83. Let b = -15 - d. Put -0.3, b, -1/2 in descending order.
-0.3, b, -1/2
Suppose -5*u + 3*p + 1 = -4, -11 = 3*u + p. Let q(r) = -r + 7. Let a be q(3). Let z be 18/(-4) + 2/a. Sort z, 1, u in increasing order.
z, u, 1
Let l = 5.208 + -1.208. Let j = -0.2 - 0. Let f = -0.2 - j. Sort f, l, -3.
-3, f, l
Let z(p) = -3*p**2 + 21*p + 26. Let t(d) = -2*d**2 + 14*d + 17. Let j(o) = -7*t(o) + 5*z(o). Let n be j(8). Sort 5, -4, n, -5 in ascending order.
-5, -4, n, 5
Let q be (2 + -4)/(-1 - -6). Let s = -92.1 + 92.03. Put q, s, 0.4 in ascending order.
q, s, 0.4
Let a = 109 + -102.8. Let m = a - 3.2. Put m, -0.3, -3, 1 in descending order.
m, 1, -0.3, -3
Let w = 626 + -626.4. Let t = -4.11 + 0.11. Sort w, 3, t.
t, w, 3
Suppose -7*c + 6*c = -245. Let a be 196/c - (-14)/(-20)*4. Sort -3, -1/9, a in descending order.
-1/9, a, -3
Suppose 2*h + 64 = -2*o - 3*h, -3*o = 2*h + 74. Suppose -4*l = -43 + 119. Let s = o - l. Sort s, -7, 0.
-7, s, 0
Let l be 490/(-56) - 2/8. Put l, 6, -2 in descending order.
6, -2, l
Suppose -2*p + 7*n - 9*n = -6, 5*p - 6 = 4*n. Sort -4, p, 54.
-4, p, 54
Let l(h) = -h**3 - 7*h**2 - 6*h + 2. Let j be l(-6). Let n = 324 - 320. Sort n, 5, j.
j, n, 5
Let o = 4 - -1. Put -32, 3/5, o in decreasing order.
o, 3/5, -32
Suppose 2*t = -4*z + 3*t - 13, z + 3*t = -13. Let f = 23 - 25. Let c be ((-6)/4)/(f/(-4)). Put 3, c, z in ascending order.
z, c, 3
Let w(i) = -3*i**2 - 37*i - 9. Let c be w(-12). Sort 5, 4, c, -92 in decreasing order.
5, 4, c, -92
Suppose 2*k - t - 5 = 2, 2*t + 6 = 0. Suppose -2*n + 20 = 3*n. Sort -5, n, k, 19.
-5, k, n, 19
Suppose 3*i - 18 = -6*i. Put -2, -3, 4, i in descending order.
4, i, -2, -3
Let j = 58 - 58.5. Let z = -0.96 - -1. Sort z, 3, j in decreasing order.
3, z, j
Suppose -6 = -3*u + 3*p, -10 = u - 7*p + 2*p. Let f(j) be the second derivative of j**3/3 - 3*j**2 - 4*j. Let y be f(u). Sort 0.1, -0.3, y in descending order.
y, 0.1, -0.3
Let f be (-86)/731 + (-25)/(-68). Put 0.5, 0.11, f, -3/2 in decreasing order.
0.5, f, 0.11, -3/2
Let j(z) = z + 13 - 5*z + z + 2*z. Let n be j(12). Suppose 3*w + 23 = -5*f, 5*w - 5 - 6 = 4*f. Sort f, n, -1 in increasing order.
f, -1, n
Let d = -0.019 - -2.019. Let s = 13 - 14.3. Put d, -5, s in increasing order.
-5, s, d
Let g = 12/7 + -41/28. Let h = -4.937 + -0.063. Put h, g, -1/5 in decreasing order.
g, -1/5, h
Let n = -0.05 - 0.85. Let g = -8 + 11. Put n, g, -4 in increasing order.
-4, n, g
Let r = -282 - -1411/5. Sort r, -4, -13 in increasing order.
-13, -4, r
Suppose -2*s + 5*s - 15 = 0. Let x = 505 - 505. Let q = -1 + 0.5. Sort x, q, s.
q, x, s
Let c = -9 + 11. Suppose b + 4*t - 1 = 16, -b + c*t = 13. Sort -0.2, 2, 1, b in decreasing order.
2, 1, -0.2, b
Let a = 12 - 7. Let g = -29.8 - -30. Sort a, -0.5, -2/17, g in decreasing order.
a, g, -2/17, -0.5
Let y = 9.7 + -5.7. Let c = -2.46 - 1.54. Put c, y, 0 in descending order.
y, 0, c
Let r(h) = -4*h + 5. Let n be r(7). Let i = n - -21. Sort i, -5, -20, 1/4 in decreasing order.
1/4, i, -5, -20
Let j = 2 - -1. Suppose -5*f + 19 = -3*r, 2*r + 2*r + 30 = 2*f. Put 4, r, j in increasing order.
r, j, 4
Let o = 219 - 182. Let p = -31.992 + -0.008. Let f = o + p. Sort 1/13, 2/9, f.
1/13, 2/9, f
Let o = 96 + -90. Sort 2, 4, o, 1 in descending order.
o, 4, 2, 1
Let y = -3.8 + -0.2. Sort y, -0.3, -5, 5.
-5, y, -0.3, 5
Let z = -51 - -78. Suppose -3*w = -3*d + z, -2*w + 4 = 2*d + 2. Suppose -6*j + 5*j = 5. Sort j, w, 0 in increasing order.
j, w, 0
Suppose -4*g + 114 = -130. Let t = 14 - 1. Let q be -3 + g/t + -2. Put 0.1, q, 1/2 in descending order.
1/2, 0.1, q
Let p(s) = -2*s**2 + 67*s - 99. Let b be p(32). Sort -2, b, -6 in decreasing order.
-2, b, -6
Suppose 3*v - k = 15, 3*v + 36*k = 39*k + 15. Suppose 0*w + 40 = 5*w. Let c = 12 - w. Put v, -3, c in descending order.
v, c, -3
Let q be ((-5)/(15/27))/(78/(-1196)). Put q, 1, -3 in descending order.
q, 1, -3
Let y be (-1)/(-4)*(165/30 - 4). Sort -2, 0, 32, y in descending order.
32, y, 0, -2
Let n(s) be the third derivative of -s**4/12 - s**3 + 3*s**2. Let k be n(-5). Suppose -k*y + 9 = -y. Put -2, -5, y in increasing order.
-5, -2, y
Suppose -2*o - 9 = o, -4*l = 3*o + 21. Put -5, -1, l, 1 in increasing order.
-5, l, -1, 1
Let h(x) = 0 + 2 + x - 7 + 0*x. Let c be h(7). Let w = -1.94 - 0.06. Sort c, w, -4 in decreasing order.
c, w, -4
Let a = 163 - 166. Let l be (-110)/30 + (-2)/6. Sort l, a, -6 in decreasing order.
a, l, -6
Suppose -3*a + 2*a = 4*p - 3, 12 = 4*a - p. Let w(h) = -h + 1. Let l be w(-1). Suppose -13 = l*x - 3. Put x, a, -1 in ascending order.
x, -1, a
Let g = -5/2 + 1. Let p = -10 - -10.2. Let r = 0.238 - 4.238. Put g, r, p in ascending order.
r, g, p
Let u(y) = -y**2 - 16*y + 335. Let l be u(-28). Suppose 0*z + 11 = 3*h - z, 10 = 4*h + z. Sort l, 4, h.
l, h, 4
Let s = -0.51 - -0.04. Let h = 0.27 + s. Sort 0.4, 0.2, h.
h, 0.2, 0.4
Let r = -33 - -15. Let v = -23 - r. Put v, 2, 4 in decreasing order.
4, 2, v
Suppose -s = -4, 38*j = 43*j - 3*s - 118. Sort -1, 0.1, j, -5/2 in increasing order.
-5/2, -1, 0.1, j
Let q = 279 + -279.5. Sort 1/4, q, -4/9 in ascending order.
q, -4/9, 1/4
Let j(a) = -18*a - 7. Let m(b) = 9*b + 4. Let p(q) = 6*j(q) + 11*m(q). Suppose 4*u = 3*x + 2*u - 7, 5*u = -10. Let t be p(x). Put -5, -3, t in descending order.
-3, -5, t
Suppose 4*r - 3*j + 24 = 7*r, -2*r + 5*j = 19. Put 5, -4, r, -2 in ascending order.
-4, -2, r, 5
Let l be ((-2)/4)/((-1)/4). Suppose 3*o - l*o = x + 7, x = -2*o + 8. Put 2, -4, o, 3 in decreasing order.
o, 3, 2, -4
Suppose 20 = -4*i - 3*w, 0 = 8*i - 6*i + w + 10. Put i, 4, 13 in decreasing order.
13, 4, i
Let i = -184 + 171. Let f be ((-3)/(-6))/((-1)/14). Let o = f + 10. Sort i, o, -2 in ascending order.
i, -2, o
Let x = -357 - -353. Let f = -63/2 - -32. Sort -4/5, x, f, -0.5 in descending order.
f, -0.5, -4/5, x
Let k = 280 - 283. Let p(c) = c**2 - 5*c + 2. Suppose 7*f = 4*f + 9. Let u be p(f). Put -8, u, k in increasing order.
-8, u, k
Let m(q) be the third derivative of q**5/60 + 2*q**4/3 + 19*q**3/6 - 3*q**2. Let k be m(-15). Sort -1, k, -3 in increasing order.
-3, -1, k
Let s = -20 + 5. Let t = 19 + s. Let d(j) = -j**2 + 16*j + 12. Let v be d(17). Sort 6, t, v.
v, t, 6
Suppose -56 = 16*z + 8. Sort z, -16, 5.
-16, z, 5
Suppose 0*g - 20 = -4*g. Suppose 0 = 2*a - 5*t - g, 5*t - 5 - 5 = -a. Sort 3, a, -2 in ascending order.
-2, 3, a
Let l = -324 - 260. Let w be l/78 - 12/(-78). Let d = w - -7. Put -3/7, 0.04, d in descending order.
0.04, d, -3/7
Let b = -4 + 9. Let c = 14.8 - 17.8. Sort c, -1, b in ascending order.
c, -1, b
Suppose -6*k + 112 = -10*k. Let u = k - -23. Let f(n) = -n**3 + 4*n**2 - 4*n + 2. Let i be f(3). Sort u, 2, i in decreasing order.
2, i, u
Let b = -344 + 334. Sort 5, -0.1, 0, b.
b, -0.1, 0, 5
Let i = -1151/11865 + 1/565. Let g be 15/(-42)*2 - 2/(-7). Sort g, 3/4, i in descending order.
3/4, i, g
Let x = 155 - 157. Sort 1, -1, x, -8 in ascending order.
-8, x, -1, 1
Let i(f) = 7*f**3 + 6*f**2 + 15*f + 17. Let t(j) = 8*j**3 + 6*j**2 + 16*j + 17.
|
{
"pile_set_name": "DM Mathematics"
}
|
-226300
What is next in -1897328, -1897311, -1897282, -1897241?
-1897188
What is next in -50669, -50873, -51229, -51749, -52445, -53329, -54413?
-55709
What comes next: -74968, -74980, -75014, -75082, -75196, -75368, -75610?
-75934
What is the next term in 49, 118, 239, 418, 661?
974
What is the next term in 6285142, 12570281, 18855412, 25140535, 31425650?
37710757
What is next in 79, -277, -1157, -2801, -5449, -9341, -14717, -21817?
-30881
What is the next term in -93087, -89267, -82901, -73995, -62555?
-48587
What comes next: 3265372, 3265457, 3265598, 3265795?
3266048
What is next in 1387311, 1387049, 1386775, 1386483, 1386167, 1385821?
1385439
What is next in -6563, -13006, -19423, -25814?
-32179
What is next in -2482, -20409, -69074, -163849, -320106, -553217?
-878554
What comes next: -678, -1377, -2104, -2871, -3690?
-4573
What is the next term in -38972, -155948, -350922, -623894?
-974864
What is next in 99171, 99240, 99415, 99750, 100299, 101116?
102255
What comes next: -15526, -31389, -47252, -63115, -78978?
-94841
What is the next term in 26293, 60074, 93855, 127636?
161417
What is the next term in -41171, -41188, -41209, -41234, -41263, -41296, -41333?
-41374
What comes next: -240, -1032, -2784, -5976, -11088, -18600?
-28992
What is next in 323, -648, -2263, -4528, -7449, -11032?
-15283
What comes next: -66630477, -66630480, -66630483, -66630486?
-66630489
What comes next: 2348891713, 2348891714, 2348891715?
2348891716
What is next in -102309, -102225, -102139, -102051, -101961, -101869?
-101775
What is the next term in 3312, 6023, 8124, 9615, 10496?
10767
What comes next: 122493, 122142, 121791, 121440?
121089
What is next in -1047, -1558, -2349, -3420?
-4771
What is next in -160813, -160831, -160863, -160909, -160969, -161043, -161131?
-161233
What is next in 19086206, 76344838, 171775892, 305379368, 477155266?
687103586
What comes next: 174888, 174573, 174258, 173943, 173628?
173313
What comes next: -7233, -15759, -25579, -36687, -49077?
-62743
What is the next term in -686206324, -686206325, -686206326, -686206327, -686206328?
-686206329
What is the next term in 875, 102, -1097, -2932, -5613, -9350?
-14353
What comes next: 145, 435, 901, 1627, 2697?
4195
What is the next term in -3465, -3392, -3321, -3252?
-3185
What is next in 25350, 39615, 53892, 68187, 82506?
96855
What is the next term in -2018008138, -2018008139, -2018008140, -2018008141, -2018008142?
-2018008143
What comes next: -276180, -276643, -277106, -277569, -278032?
-278495
What comes next: -50040, -47401, -44762, -42123?
-39484
What is the next term in 20401, 20407, 20449, 20545, 20713, 20971?
21337
What is the next term in -215984, -215929, -215874, -215819, -215764, -215709?
-215654
What is next in -10606780, -10606783, -10606786, -10606789, -10606792?
-10606795
What is the next term in 2726705, 2726666, 2726601, 2726510?
2726393
What is next in 325057, 325087, 325137, 325207?
325297
What comes next: -814990, -1630014, -2445052, -3260110, -4075194, -4890310, -5705464?
-6520662
What comes next: -1310715, -1310713, -1310711, -1310709, -1310707?
-1310705
What comes next: 1475087, 1475108, 1475131, 1475156, 1475183, 1475212?
1475243
What comes next: -1839066, -1838833, -1838600, -1838367, -1838134?
-1837901
What is next in 198, 260, 358, 492, 662?
868
What comes next: -1464, -2792, -4102, -5382, -6620, -7804, -8922?
-9962
What is next in 92492502, 92492504, 92492510, 92492520?
92492534
What is next in -3034, -12659, -28686, -51103, -79898, -115059?
-156574
What is the next term in -21611, -87356, -196883, -350186, -547259, -788096?
-1072691
What is next in -4303, -4086, -3865, -3640, -3411, -3178, -2941?
-2700
What is the next term in 288970, 289010, 289040, 289054, 289046?
289010
What is the next term in -816851, -6534513, -22053859, -52275731, -102100971, -176430421, -280164923, -418205319?
-595452451
What is next in 89, -330, -1145, -2452, -4347, -6926, -10285?
-14520
What is next in -100570, -201132, -301694, -402256, -502818, -603380?
-703942
What is the next term in -23068, -92226, -207478, -368812, -576216, -829678, -1129186?
-1474728
What is the next term in -2151, -1954, -1741, -1506, -1243?
-946
What is the next term in -35399829, -35399815, -35399791, -35399757, -35399713?
-35399659
What is next in 591, 135, -1271, -3627, -6933?
-11189
What is the next term in -379, -1457, -3219, -5647, -8723, -12429?
-16747
What is next in -1570332, -3140541, -4710746, -6280947, -7851144, -9421337?
-10991526
What is next in 7465, 30026, 67635, 120292?
187997
What comes next: 3405884, 6811763, 10217642, 13623521, 17029400?
20435279
What is the next term in -25015, -200459, -676661, -1603999, -3132851, -5413595, -8596609, -12832271?
-18270959
What comes next: 12185, 12227, 12279, 12335, 12389?
12435
What comes next: -605, -1139, -1611, -2021, -2369?
-2655
What comes next: 143611, 143632, 143659, 143692, 143731, 143776?
143827
What is the next term in -19066, -38342, -57618, -76894?
-96170
What comes next: -20980, -42174, -63368, -84562, -105756?
-126950
What comes next: -12318, -24738, -37362, -50292, -63630, -77478, -91938, -107112?
-123102
What comes next: 6171, 9648, 13125?
16602
What is next in -2485, -2432, -2053, -1348, -317, 1040?
2723
What is next in -100970, -99508, -98046, -96584, -95122?
-93660
What is the next term in -48134, -47457, -46776, -46091, -45402?
-44709
What is next in 748, 2116, 4732, 9220, 16204, 26308, 40156?
58372
What is the next term in 4035, 4147, 4441, 5007, 5935?
7315
What is the next term in -25580, -108749, -249512, -447875, -703844, -1017425, -1388624, -1817447?
-2303900
What is next in 21994, 44219, 66472, 88759, 111086, 133459, 155884?
178367
What is the next term in 566, 778, 970, 1142, 1294, 1426?
1538
What is next in 7815811, 15631591, 23447369, 31263145, 39078919, 46894691?
54710461
What is next in -20211367, -40422724, -60634083, -80845444, -101056807?
-121268172
What comes next: 3860, 18058, 41754, 74954, 117664, 169890, 231638?
302914
What comes next: -820, -4877, -15414, -35677, -68912, -118365?
-187282
What is the next term in 612293, 2449145, 5510543, 9796481, 15306953?
22041953
What comes next: 248361, 248591, 249209, 250407, 252377, 255311?
259401
What is next in -119879140, -239758286, -359637432, -479516578, -599395724, -719274870?
-839154016
What comes next: -8347638, -8347634, -8347630, -8347626?
-8347622
What comes next: -317951, -635910, -953869, -1271828?
-1589787
What is next in -8993, -17969, -26931, -35873, -44789?
-53673
What is the next term in -4536, -36089, -121556, -287835, -561824, -970421?
-1540524
What is the next term in -31432, -125704, -282770, -502588, -785116, -1130312, -1538134, -2008540?
-2541488
What is the next term in 200349568, 200349563, 200349558, 200349553, 200349548?
200349543
What is the next term in -250525, -501281, -752037?
-1002793
What comes next: -83927, -167844, -251761, -335678, -419595?
-503512
What is next in -18056, -55453, -117782, -205043, -317236, -454361?
-616418
What comes next: -3127, -2834, -2549, -2272, -2003, -1742?
-1489
What comes next: -21489587, -21489579, -21489571, -21489563, -21489555, -21489547?
-21489539
What is the next term in -35598, -34517, -33396, -32223, -30986?
-29673
What comes next: -80031, -79972, -79877, -79746, -79579, -79376, -79137?
-78862
What comes next: 315388, 630743, 946098, 1261453, 1576808?
1892163
What is the next term in -2085467, -2085461, -2085455, -2085449?
-2085443
What is the next term in -1969875, -3939749, -5909623?
-7879497
What is the next term in -1111945010, -2223890020, -3335835030, -4447780040, -5559725050, -6671670060?
-7783615070
What is the next term in 7536, 15092, 22692, 30348, 38072, 45876, 53772?
61772
What comes next: 151795, 607241, 1366317, 2429017, 3795335, 5465265?
7438801
What is the next term in 28255, 28996, 29737, 30478, 31219, 31960?
32701
What is next in 207, 271, 213, 45, -221, -573, -999?
-1487
What comes next: 6368971, 6368970, 6368967, 6368962, 6368955?
6368946
What comes next: 5155631, 5155632, 5155633, 5155634?
5155635
What is next in 34212081, 34212080, 34212079, 34212078, 34212077, 34212076?
34212075
What is next in 4111261, 4111253, 4111245, 4111237, 4111229?
4111221
What is the next term in -148
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from ussuluaslslsusbbsu.
1/153
Three letters picked without replacement from xxddnxddxx. Give prob of picking 2 d and 1 n.
1/20
Three letters picked without replacement from yhhhyhhyhhhhyhyhhhhd. What is prob of picking 1 d and 2 h?
91/1140
Two letters picked without replacement from {j: 2, w: 2}. Give prob of picking 2 w.
1/6
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from fafficaif.
1/18
Calculate prob of picking 4 b when four letters picked without replacement from blblbbllbbblb.
14/143
Three letters picked without replacement from {g: 1, b: 4, n: 6}. What is prob of picking 2 n and 1 g?
1/11
What is prob of picking 2 z when two letters picked without replacement from szassazss?
1/36
Two letters picked without replacement from {e: 2, b: 1, g: 2}. Give prob of picking 2 g.
1/10
Four letters picked without replacement from jzjzzjzjzjjjz. Give prob of picking 1 j and 3 z.
28/143
Four letters picked without replacement from {e: 1, u: 3, s: 1}. What is prob of picking 1 e and 3 u?
1/5
Four letters picked without replacement from wsabrsv. Give prob of picking 2 s, 1 w, and 1 a.
1/35
Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmmvmmomomvvo.
7/26
Calculate prob of picking 1 f and 2 c when three letters picked without replacement from ffccff.
1/5
What is prob of picking 1 r, 1 k, and 2 a when four letters picked without replacement from {j: 1, r: 1, n: 1, k: 1, a: 2, w: 1}?
1/35
Calculate prob of picking 1 w, 1 h, and 1 j when three letters picked without replacement from jlfwjhn.
2/35
Three letters picked without replacement from stzvtskkzkktskd. What is prob of picking 2 s and 1 z?
6/455
Four letters picked without replacement from kkzzzksszskkz. Give prob of picking 1 k and 3 s.
1/143
Calculate prob of picking 4 g when four letters picked without replacement from kkggkggggkggggggkkg.
715/3876
What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 9, c: 7}?
21/40
Calculate prob of picking 2 f and 2 z when four letters picked without replacement from {z: 6, f: 6}.
5/11
Calculate prob of picking 3 k when three letters picked without replacement from {v: 7, k: 4, r: 3}.
1/91
What is prob of picking 2 u when two letters picked without replacement from {u: 11, i: 9}?
11/38
Two letters picked without replacement from {e: 1, i: 6, d: 5, a: 6}. Give prob of picking 1 i and 1 e.
2/51
What is prob of picking 3 u and 1 s when four letters picked without replacement from {s: 13, u: 3, q: 1}?
13/2380
Three letters picked without replacement from yyynnywcycy. Give prob of picking 1 c and 2 y.
2/11
Three letters picked without replacement from xdxgdg. Give prob of picking 1 g and 2 x.
1/10
Calculate prob of picking 2 t when two letters picked without replacement from tncttjjnujttjtc.
1/7
Two letters picked without replacement from {z: 5, r: 7}. What is prob of picking 1 z and 1 r?
35/66
Four letters picked without replacement from yyeueeyeuyye. Give prob of picking 1 y, 1 e, and 2 u.
5/99
What is prob of picking 2 b when two letters picked without replacement from {f: 6, w: 1, b: 8, u: 3}?
28/153
Two letters picked without replacement from yyymmmmymyym. What is prob of picking 2 m?
5/22
What is prob of picking 4 x when four letters picked without replacement from {d: 1, t: 3, l: 3, x: 4}?
1/330
What is prob of picking 1 c, 1 n, and 1 h when three letters picked without replacement from nmccphmhmh?
1/20
Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 1, t: 2, j: 1, r: 4}.
1/28
What is prob of picking 1 e and 2 o when three letters picked without replacement from {e: 7, o: 7}?
21/52
Three letters picked without replacement from nuucyy. Give prob of picking 1 u and 2 y.
1/10
Two letters picked without replacement from jqqjuqqtq. What is prob of picking 1 t and 1 j?
1/18
What is prob of picking 1 o, 2 j, and 1 u when four letters picked without replacement from {o: 1, k: 4, u: 9, j: 2}?
9/1820
Calculate prob of picking 1 n, 2 q, and 1 a when four letters picked without replacement from {a: 1, v: 1, o: 8, n: 1, q: 4}.
2/455
Calculate prob of picking 2 l, 1 p, and 1 t when four letters picked without replacement from ttprteppltltll.
90/1001
Four letters picked without replacement from dddqsqd. Give prob of picking 2 q and 2 d.
6/35
Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 1, l: 2, j: 1, m: 1, e: 2}.
1/21
Three letters picked without replacement from {c: 2, j: 5, u: 1, t: 3, h: 3, w: 1}. What is prob of picking 1 w, 1 h, and 1 u?
3/455
Three letters picked without replacement from feffffxfffffxf. What is prob of picking 2 f and 1 e?
55/364
What is prob of picking 1 b and 1 q when two letters picked without replacement from pbdqqbqzq?
2/9
Three letters picked without replacement from {a: 3, e: 9, p: 4}. Give prob of picking 2 a and 1 p.
3/140
What is prob of picking 1 f and 2 s when three letters picked without replacement from sssfsf?
3/5
Four letters picked without replacement from jjhjjxhjhhh. Give prob of picking 4 j.
1/66
Calculate prob of picking 2 v when two letters picked without replacement from vvktxmmxmtxxkkmmmmm.
1/171
What is prob of picking 2 v when two letters picked without replacement from {e: 2, v: 16}?
40/51
Two letters picked without replacement from {c: 3, m: 5, f: 3, v: 1, l: 1}. What is prob of picking 1 l and 1 c?
1/26
Calculate prob of picking 1 i, 2 w, and 1 f when four letters picked without replacement from iwiwff.
4/15
What is prob of picking 2 m when two letters picked without replacement from mjjijpipjijjpjjpjpm?
1/171
Four letters picked without replacement from yfwwdfwfddwfwfw. Give prob of picking 4 w.
1/91
Calculate prob of picking 1 t and 2 v when three letters picked without replacement from {q: 6, t: 1, v: 4, y: 4, d: 5}.
1/190
Four letters picked without replacement from ozxzxxoo. What is prob of picking 2 o and 2 x?
9/70
What is prob of picking 1 e and 3 z when four letters picked without replacement from zzeez?
2/5
Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 2, s: 2}.
2/3
Calculate prob of picking 2 k when two letters picked without replacement from kfkkfkkfkkffk.
14/39
What is prob of picking 1 k, 1 e, and 1 d when three letters picked without replacement from uduekduideuupe?
9/364
Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {o: 1, h: 2, t: 1, k: 3}.
3/35
What is prob of picking 1 d and 1 e when two letters picked without replacement from dedxdeexdedxxxedeede?
28/95
Calculate prob of picking 2 u and 2 w when four letters picked without replacement from uuwuuwuuuuu.
6/55
What is prob of picking 1 w and 1 i when two letters picked without replacement from wwwiiiiiiwwi?
35/66
Four letters picked without replacement from vveeeevgeeeevveeeevv. Give prob of picking 2 e and 2 v.
462/1615
Three letters picked without replacement from {s: 1, z: 1, m: 1, d: 1, l: 1, i: 2}. Give prob of picking 1 d, 1 i, and 1 m.
2/35
Two letters picked without replacement from {w: 2, k: 1, x: 1, y: 2, p: 2}. What is prob of picking 1 y and 1 x?
1/14
Two letters picked without replacement from {h: 2, b: 3}. What is prob of picking 1 h and 1 b?
3/5
What is prob of picking 1 u and 1 x when two letters picked without replacement from auaapxaxa?
1/18
Four letters picked without replacement from {p: 2, y: 3, h: 4}. Give prob of picking 4 h.
1/126
What is prob of picking 1 a and 1 g when two letters picked without replacement from tsagtssgsgtttstasga?
4/57
Two letters picked without replacement from rrgggag. Give prob of picking 2 r.
1/21
What is prob of picking 1 d, 1 g, and 2 n when four letters picked without replacement from rrwwgnnngnnnwd?
30/1001
What is prob of picking 2 a when two letters picked without replacement from akmmzz?
0
Two letters picked without replacement from {g: 3, o: 8}. Give prob of picking 2 o.
28/55
Three letters picked without replacement from {f: 1, v: 12}. What is prob of picking 1 f and 2 v?
3/13
Three letters picked without replacement from ngnd. Give prob of picking 1 g, 1 n, and 1 d.
|
{
"pile_set_name": "DM Mathematics"
}
|
vide -163830955 by -1.
163830955
310590260 divided by -155295130
-2
9 divided by -45919891
-9/45919891
-6980427 divided by -775603
9
What is 11979 divided by 1689?
3993/563
Calculate -2509540 divided by -2057.
1220
What is -28469688 divided by -104?
273747
Calculate -5 divided by 112120535.
-1/22424107
What is 77505 divided by -25835?
-3
What is 735039405 divided by -3550915?
-207
Divide -3039471 by 13.
-3039471/13
What is 66349168 divided by 8293646?
8
Calculate 22502130 divided by 3873.
5810
Calculate -275290 divided by 1.
-275290
-17651153 divided by -2
17651153/2
Calculate 258 divided by 722352.
43/120392
Divide 94394409 by -31464803.
-3
Calculate -596758 divided by -46.
12973
What is 197286324 divided by 6?
32881054
Divide -5 by -120146295.
1/24029259
Calculate -1539743 divided by 64.
-1539743/64
-12744466 divided by -6372233
2
Divide 48130 by 159.
48130/159
What is 18811054 divided by -5?
-18811054/5
Calculate 333760029 divided by 3.
111253343
What is 10646967 divided by -3?
-3548989
What is -798554277 divided by -153?
5219309
526 divided by -36762
-263/18381
Calculate -2046 divided by 65776.
-1023/32888
Calculate 1675187268 divided by 3.
558395756
Calculate 2436281 divided by 280.
2436281/280
Calculate 4 divided by -2573495.
-4/2573495
-20658708 divided by 70749
-292
-2 divided by 8952651
-2/8952651
Divide -14 by 3846717.
-2/549531
-811212 divided by 114
-135202/19
-220 divided by 3004392
-55/751098
Calculate 241234100 divided by 4.
60308525
What is -228425 divided by 56?
-228425/56
-47144889 divided by -6
15714963/2
Divide -1023380 by 19.
-1023380/19
Divide -12105084 by -2157.
5612
Calculate -355637837 divided by -839.
423883
What is -491602 divided by 2?
-245801
6333 divided by 38970
2111/12990
Divide -70671766 by 2.
-35335883
Divide -285651 by -4017.
95217/1339
-242315288 divided by -30289411
8
Calculate -504051 divided by 19.
-26529
Calculate -2361905 divided by 145.
-16289
Calculate -1 divided by -102756905.
1/102756905
Calculate 57188885 divided by -65.
-879829
What is -30487216 divided by 4?
-7621804
What is -1201 divided by 6293?
-1201/6293
-188308840 divided by 37661768
-5
What is -778 divided by -22387?
778/22387
Divide 1114919508 by 278729877.
4
Divide -28 by -142722.
14/71361
Divide 16349234 by -38.
-430243
Divide -3307328730 by -5.
661465746
171990324 divided by 6
28665054
-4697686 divided by -335549
14
What is -53412390 divided by 90?
-593471
What is -12303593 divided by 2?
-12303593/2
Calculate -19 divided by 583504.
-19/583504
Divide 1259 by -2085.
-1259/2085
Divide 703087950 by 117181325.
6
Calculate 2 divided by -52323669.
-2/52323669
-12214806 divided by -62
197013
-12386050 divided by -1891
6550
Calculate -195666685 divided by -5.
39133337
Divide 0 by -4048270.
0
Divide 14562916 by -212.
-68693
Calculate 1940706 divided by 71878.
27
Calculate -15295 divided by 263.
-15295/263
Calculate 24035004 divided by 5334.
4506
Divide -32960640 by -80.
412008
What is -143718200 divided by 2792?
-51475
Divide -940577966 by -1.
940577966
Divide -5504835 by -2.
5504835/2
What is -129 divided by 1840412?
-129/1840412
Divide 126601090 by -11.
-11509190
What is -5845 divided by 161?
-835/23
Calculate 649321140 divided by 3509844.
185
39822510 divided by -13195
-3018
What is 10486250 divided by 41945?
250
Calculate -11163 divided by -4142.
11163/4142
Divide -255198925 by -10207957.
25
What is -19381 divided by -26?
19381/26
-22217223 divided by 7405741
-3
-127040172 divided by 1
-127040172
228 divided by 1157671
228/1157671
What is -275275765 divided by 171085?
-1609
What is -650168 divided by 273?
-650168/273
What is 482417 divided by -8?
-482417/8
209050120 divided by 54088
3865
Calculate -280760494 divided by 12206978.
-23
Divide 14376 by -14934.
-2396/2489
Calculate -42026 divided by 1113.
-42026/1113
What is 10198463 divided by -31?
-10198463/31
26456 divided by 13228
2
Calculate 62041200 divided by 4656.
13325
Divide 229586092 by -4.
-57396523
-1 divided by 33083378
-1/33083378
Calculate -60162440 divided by 5080.
-11843
What is -38726 divided by 2278?
-17
651044 divided by -14
-325522/7
Divide -151271027 by 6.
-151271027/6
Divide 8868128 by -1.
-8868128
Calculate 127238136 divided by -248.
-513057
Divide -40 by -5452662.
20/2726331
-251328 divided by 3
-83776
-71797128 divided by 2
-35898564
What is -146 divided by 172344?
-73/86172
-940422147 divided by 1652763
-569
Calculate -1610271 divided by -64.
1610271/64
Calculate -7277440 divided by -3638720.
2
What is -18573028 divided by -9286514?
2
-24299866 divided by 7
-24299866/7
Divide 4604 by -229.
-4604/229
What is -3982595 divided by 3?
-3982595/3
Calculate 1342 divided by 1809.
1342/1809
Divide -132015005 by 4.
-132015005/4
What is -27529733 divided by 11?
-2502703
What is -113030552 divided by 4?
-28257638
Calculate 0 divided by -6351461.
0
Divide 23193804 by -10884.
-2131
Divide 1 by -191411173.
-1/191411173
Divide -2742 by 8306.
-1371/4153
Divide -212860076 by -270127.
788
Calculate 3105765 divided by -621153.
-5
-156890290 divided by 78445145
-2
What is -532 divided by -10855?
532/10855
Calculate 4 divided by -17063233.
-4/17063233
24252403 divided by 1
24252403
Calculate -200623566 divided by -3.
66874522
Divide 68504558 by 1.
68504558
Calculate 1339 divided by -13548.
-1339/13548
-395 divided by -18526
395/18526
16953930 divided by -28494
-595
Calculate 21414480 divided by 535362.
40
What is 1570419031 divided by -1?
-1570419031
Divide -1 by -737151.
1/737151
What is -16649946 divided by 924997?
-18
Divide -160 by 43829.
-160/43829
Calculate 3 divided by -2893624.
-3/2893624
Calculate -61 divided by 13051929.
-61/13051929
Divide -4651151 by 46051.
-101
354837516 divided by 19756
17961
Divide -11894464 by 15.
-11894464/15
Calculate 4206406 divided by -89498.
-47
Calculate -1495008 divided by -498336.
3
What is 3 divided by 54131871?
1/18043957
Calculate -705294 divided by -646.
352647/323
Divide -73609050 by 3.
-24536350
What is -87 divided by -10064?
87/10064
Calculate 9 divided by 2010045.
3/670015
Calculate -7548228 divided by 108.
-69891
-185172834 divided by -6
30862139
Calculate -925 divided by -1381.
925/1381
Divide -10685 by -2751.
10685/2751
Divide -3948804 by -3.
1316268
What is 1840862 divided by -1867?
-986
Divide 8584608 by 268269.
32
Calculate 8006216 divided by -1000777.
-8
154547630 divided by -30909526
-5
What is -8431832 divided by -6778?
1244
What is -1 divided by 5530792?
-1/5530792
63329144 divided by -7916143
-8
Divide -281 by 116938.
-281/116938
23425504 divided by 29
807776
Divide 10 by 3176897.
10/3176897
Calculate 4 divided by -2345551.
-4/2345551
What is 31853164 divided by 4550452?
7
-75788645 divided by -6
75788645/6
What is 5 divided by -2160226?
-5/2160226
Divide -11153 by 1775.
-11153/1775
What is -4426359 divided by 21?
-210779
What is -227603 divided by 1738?
-227603/1738
Calculate 9521596 divided by -4760798.
-2
What is -378658 divided by 7?
-54094
Calculate -73804084 divided by 18451021.
-4
Calculate -255236446 divided by -2407891.
106
What is 131284368 divided by -26064?
-5037
Calculate -1929 divided by -2113.
1929/2113
346935096 divided by 28911258
12
Divide 44020280 by -44020280.
-1
-4750167 divided by 110469
-43
What is -5739 divided by 4141?
-5739/4141
Divide 339336660 by 63570.
5338
Divide 17101 by -1.
-17101
-1929641 divided by -6
1929641/6
Divide -3022 by 2693.
-3022/2693
Calculate 8 divided by -127339562.
-4/63669781
Divide -1091852 by -26.
545926/13
Calculate 0 divided by -1058349.
0
Calculate -65 divided by 340539.
-65/340539
-9790200 divided by -9
1087800
What is 1 divided by -1659000?
-1/1659000
Calculate -18294250 divided by 13.
-1407250
Divide -198 by -829232.
99/414616
Divide -1 by -6757320.
1/6757320
Calculate 865 divided by 19619.
865/19619
Calculate 596383218 divided by 6.
99397203
Calculate -72921849 divided by -3003.
24283
-4 divided by 31731030
-2/15865515
Calculate 40637850 divided by 165.
246290
Divide 1595880 by 78.
20460
Calculate -1217 divided by 3902.
-1217/3902
11764010 divided by 74930
157
Calculate -11334366 divided by -3778122.
3
What is -283972 divided by -80?
70993/20
2 divided by 10961339
2/10961339
Divide -3 by 97964.
-3/97964
-8589207 divided by 11
-780837
212459 divided by 419
212459/419
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
14*h(t)?
-4*t + 2
Let u(t) = 9*t**2 - 3*t - 7. Let l be ((-105)/(-12))/(320/512). Let z(y) be the first derivative of -4*y - y**2 + 5/3*y**3 - l. Give 4*u(w) - 7*z(w).
w**2 + 2*w
Let f(j) = -3*j**2 + 113*j - 146. Let z(l) = -l**2 + 45*l - 73. What is 2*f(g) - 5*z(g)?
-g**2 + g + 73
Let o(m) = -191. Let i(h) = -5538. Let j(t) = -3*i(t) + 87*o(t). Let s(c) = -3 + 0*c**2 + c**2 - 1. Give -4*j(a) + 3*s(a).
3*a**2
Let d be (1402/2103)/(-1*2/(-9)). Let a(j) = 2*j**2 - 2*j + 5. Let l(y) = -4*y**2 + 3*y - 9. Calculate d*l(c) + 5*a(c).
-2*c**2 - c - 2
Let y = 88 + -125. Let v = y + 43. Suppose 0 = 3*p - v*p - 33. Let a(c) = c**2 + 1. Let o(b) = 3*b**2 + 3. Calculate p*a(f) + 4*o(f).
f**2 + 1
Let r(w) = -w. Let d(k) = -2834*k + 5701*k - 2847*k. Determine -3*d(n) - 15*r(n).
-45*n
Let t(b) = -b - 1. Let m(c) = -4*c - 1. Let a(q) be the first derivative of 3*q**2 + 2*q - 13. Let l(r) = 5*a(r) + 7*m(r). What is l(p) + 4*t(p)?
-2*p - 1
Let v(h) = -5*h**3 + 8*h**2 + 4*h - 7. Let s(k) = -k**3 + 2*k**2 + k - 2. Let y(o) = -4*s(o) + v(o). Let l(u) = -5*u**3 - u**2 - 2*u + 6. What is l(m) - 6*y(m)?
m**3 - m**2 - 2*m
Let a(s) = -24*s**3 + 16*s**2 + 3*s - 4. Let w(b) = -b**3 - 4*b**2 - 2*b + 1. Determine a(y) + 4*w(y).
-28*y**3 - 5*y
Let n(j) = -350*j + 6305. Let o be n(18). Let s(u) = -4*u + 5. Let b(l) = 2*l - 2. What is o*b(w) + 2*s(w)?
2*w
Let x(t) = t. Let h(o) = -3*o**3 + 5*o - 2. Let p = 2168 - 2174. Calculate p*x(r) + h(r).
-3*r**3 - r - 2
Let w(i) = -12*i + 59. Let u(a) = 16*a - 88. Calculate -5*u(f) - 7*w(f).
4*f + 27
Let n(s) = 26*s**3 + 4. Let k(d) = d**3 + 2*d**2 + 10*d - 3. Let y(h) = h**3 + h**2 + 5*h - 1. Let c(v) = -k(v) + 2*y(v). Calculate -4*c(q) + n(q).
22*q**3
Let y(f) = -21*f + 40. Let h(b) = b**3 - b**2 + 26*b - 94. Let q be h(3). Let p(i) = -5*i + 10. Calculate q*y(d) - 9*p(d).
3*d - 10
Let x(u) = 64*u**2 + 9*u - 8. Let j(t) be the second derivative of 4*t**4/3 + t**3/3 - t**2 + 9538*t. Give 9*j(w) - 2*x(w).
16*w**2 - 2
Let j(r) = -158*r**2 + r**2 + 79*r**2 + 5 + 80*r**2. Let s(u) = -2*u**2 - 6. Let l(h) = h**2 - 3*h - 4. Let q be l(5). Give q*j(y) + 5*s(y).
2*y**2
Let t(d) = 3*d + 3. Let s = -1453 - -1448. Let k(q) = -q + 1. What is s*k(i) + t(i)?
8*i - 2
Let z(a) = -94*a - 6. Let s be (74 - 69)*((2/1)/(-2) + 0). Let q(j) = -63*j - 4. Give s*z(o) + 8*q(o).
-34*o - 2
Let q(z) = -2*z - z**2 - 810*z**3 + 623*z**3 + 1 + 188*z**3 + z. Let g(k) = 9*k**3 - 12*k**2 - 12*k + 9. Calculate -g(r) + 12*q(r).
3*r**3 + 3
Let q be (-24 - (-3502)/136) + 2/8. Let r(m) = -3*m**2 - 2. Let f be 0 + 1 - -23 - -1. Let x(w) = 35*w**2 + 25. Calculate f*r(b) + q*x(b).
-5*b**2
Let q(m) = 11*m**2 - 32*m + 1. Let o(a) = -13*a**2 + 32*a - 2. Determine 6*o(b) + 7*q(b).
-b**2 - 32*b - 5
Let n(m) = -70*m - 2*m**2 - 71*m - 1 + 3*m**2 + 198*m + m**3 - 58*m. Let b(x) = -4*x**2 + x + 4. Calculate b(u) + 4*n(u).
4*u**3 - 3*u
Let a(y) = 20*y**3 + 9*y**2 - 5. Let s(m) = -5*m**3 - 2*m**2 + 1. Let f = -3699 - -3697. Give f*a(w) - 9*s(w).
5*w**3 + 1
Let f be ((-4)/8*2)/((-12)/12). Let l(p) = -1. Let h(y) = y - 5. Calculate f*h(r) - 6*l(r).
r + 1
Let x(c) = 11*c**3 + 9*c**2 - 11*c - 6. Suppose 0 = -126*m + 114*m. Suppose 7*h + m = -28. Let t(z) = -5*z**3 - 4*z**2 + 5*z + 3. Determine h*x(y) - 9*t(y).
y**3 - y - 3
Let a(x) = -51*x**2 - 10*x + 73. Let c(j) = -23*j**2 - 5*j + 35. Calculate -4*a(v) + 9*c(v).
-3*v**2 - 5*v + 23
Let d(a) = a**3 - 18*a**2 - 37*a - 1. Let f(m) = 2*m**3 - 26*m**2 - 36*m - 2. Determine -3*d(q) + 2*f(q).
q**3 + 2*q**2 + 39*q - 1
Let f(m) = m + 943. Let c(d) = d + 939. Calculate 6*c(t) - 5*f(t).
t + 919
Let l(w) = 6 + 2*w - 4 + 0. Suppose -2*y - 16 = -4*y. Let z(a) = -5*a + 57. Let v be z(12). Let r(d) = 6*d + 5. Calculate v*r(g) + y*l(g).
-2*g + 1
Let q(r) = -7*r - 4. Let p(h) = -6*h - 3. Let j(z) = 6*z + 46. Let m = -277 + 270. Let b be j(m). Determine b*q(k) - 5*p(k).
2*k - 1
Let i(s) = -4*s. Let y(l) be the first derivative of -30 + 43*l - 41*l - 2*l + 2*l**2. What is 4*i(d) + 3*y(d)?
-4*d
Let d(u) = -u**2 - u + 1. Suppose -4851 = 24*m - 4875. Let a(o) = 17*o**2 - 4*o + 2. Give m*a(w) - 4*d(w).
21*w**2 - 2
Let d(m) = -m - 2. Let p(c) = 0 + 0 + 1 + 6 - 6. Give 3*d(h) + 2*p(h).
-3*h - 4
Let r(m) = -18*m**3 - 310*m**2 + m - 1. Let t(b) = 7*b**3 + 153*b**2 - b. What is 2*r(q) + 5*t(q)?
-q**3 + 145*q**2 - 3*q - 2
Let r = -227860 + 227863. Let q(m) = -3 - 2*m + 2*m**2 - m**3 - 4*m**2 + m**2. Let f(s) = -2*s**2 - 3*s - 4. Determine r*q(v) - 2*f(v).
-3*v**3 + v**2 - 1
Let j(v) = 2*v**3 + 4*v**2 + 10050*v - 56. Let k(y) = 2*y**3 + 5*y**2 + 10051*y - 70. Determine -5*j(w) + 4*k(w).
-2*w**3 - 10046*w
Suppose 0 = -4*h - 5*f - 17, 40*h + f = 43*h - 11. Let b(v) = -3*v + 3. Let o(m) = -m + 1. Calculate h*b(n) - 10*o(n).
4*n - 4
Let q(n) = -83*n. Let j(g) = 89*g - 2. Let d(f) = -760*f + 17. Let b(x) = 6*d(x) + 51*j(x). Determine -9*b(u) + 2*q(u).
23*u
Let y(u) = u**3 - 13*u**2 - 5*u + 1. Let d(s) = -s**3 - s**2 + s - 1. Let q(x) = -x**2 - x + 5. Let z be q(-3). Determine z*y(t) - 3*d(t).
2*t**3 + 16*t**2 + 2*t + 2
Let i(y) = -2*y + 1. Let u(p) = -5*p + 14. Let d(r) = 7*i(r) - u(r). Let m(k) = 10*k + 8. Let s(l) = 2*l**2 - 1. Let j be s(-2). Calculate j*d(q) + 6*m(q).
-3*q - 1
Let r(u) = -634*u + 2. Let t(o) = -1266*o + 9. Give 5*r(v) - 2*t(v).
-638*v - 8
Let w(t) = t**2 - t. Suppose 15 = 9*m - 12*m. Let c(i) = -249 - 1392*i**3 - 3*i + 7*i**2 + 1395*i**3 + 249. Give m*w(l) + c(l).
3*l**3 + 2*l**2 + 2*l
Let b(c) = 1. Let z(r) = r + 2. Let n(x) = -4*x + 43. Let s be n(10). Suppose -u - u + 2 = -4*i, 5*u + s*i = 5. What is u*z(y) - 3*b(y)?
y - 1
Let r(u) = -6*u**3 - 5*u**2 + 7*u - 1. Let i(b) = 6*b**3 + 6*b**2 - 8*b + 2. Let z be 13/((-572)/280) - 384/(-1056). Calculate z*r(d) - 5*i(d).
6*d**3 - 2*d - 4
Let z(i) = 17*i**3 + 603*i**2 - 22*i - 22. Let m(w) = -6*w**3 - 200*w**2 + 8*w + 8. What is -11*m(v) - 4*z(v)?
-2*v**3 - 212*v**2
Let z(a) = 289*a - 183. Let u(f) = 146*f - 104. Calculate -11*u(o) + 6*z(o).
128*o + 46
Let c(r) = -74*r**3 + 26*r**3 + 4 - 18*r + 17*r + 28*r**3 - r**2 + 18*r**3. Let b(g) = -g + 1. Let i be (1/(-2))/(2/(-4)). Calculate i*c(n) - b(n).
-2*n**3 - n**2 + 3
Let z(l) be the second derivative of -l**4/4 + 13*l**2/2 - 7*l. Let h = 859 + -853. Let s(q) = -q**2 + 6. Give h*z(a) - 13*s(a).
-5*a**2
Let z(f) = 6*f**3 + 4*f**2 - 3*f - 1. Let d(x) = -7*x**3 + 5*x**2 - x + 1. Let t(p) = -3*p**3 + 3*p**2 - p. Let q(w) = -d(w) + 2*t(w). What is -4*q(i) + z(i)?
2*i**3 + i + 3
Let g(y) = -29*y + 328. Let p(x) = 25*x - 325. Determine 6*g(j) + 7*p(j).
j - 307
Let t(c) = 3*c**3 - c - 23. Let u(o) = -10*o**3 + 79*o**2 + 5*o + 113. What is -5*t(j) - u(j)?
-5*j**3 - 79*j**2 + 2
Let g(j) = 1. Suppose 6*r = -7*r + 949. Let v(n) = -7 + 2 + r*n - 68*n - 1. Determine 5*g(y) + v(y).
5*y - 1
Let q(y) = 2*y + 9. Let z = 179 + -175. Let d(k) = -2*k - 1. Let p(u) = 12*u + 15. Let w(s) = 5*d(s) + p(s). Calculate z*w(x) - 5*q(x).
-2*x - 5
Let f(q) = 7397*q**2 + 10*q - 50. Let x(t) = -38327556*t**2 - 51814*t + 259070. Determine 25907*f(j) + 5*x(j).
-3701*j**2
Let s(q) = 4*q - 8. Let r(i) = 7*i - 16. Suppose 47 = -2*y + 5*y - v, 3*v - 12 = 0. Suppose -4*x = 4, -7*z - 2*x = -12*z + y. What is z*r(m) - 5*s(m)?
m - 8
Let i(o) = o + 10. Let x(u) = -5*u**2 - 78*u + 60. What is -6*i(h) + x(h)?
-5*h**2 - 84*h
Let z(j) = -1. Let m(x) = -2*x**2 + x - 5. Let s(p) be the first derivative of p**2/2 - 24*p + 172. Let q be s(21). Calculate q*z(n) + m(n).
-2*n**2 + n - 2
Let r(m) = 189*m - 146. Let j(t) = -224*t + 147. Determine -5*j(g) - 6*r(g).
-14*g + 141
Let x(q) = -10*q**2 + 2*q - 39. Let s(n) = -22*n**2 + 3*n - 81. What is 3*s(r) - 7*x(r)?
4*r**2 - 5*r + 30
Let k(u) = 3*u**3 + 5*u**2 - 5. Let w(g) = 23205*g**3 - 23203*g**3 - 2*g + 2*g - 3 + 3*g**2. Let v be 1/(-2) + 27/(-6). What is v*w(f) + 3*k(f)?
-f**3
Let r(d) = -2*d**3 + 126*d + 108. Let c(v) = 25*v + 21. Determine 11*c(p) - 2*r(p).
4*p**3 + 23*p + 15
Let j(b) = 6*b**2 - 3*b + 5. Let k(c) = 17*c**2 - 8*c + 15. Suppose 101 = 20*m - 59. Calculate m*j(v) - 3*k(v).
-3*v**2 - 5
Let b(a) = 1296*a - 14. Let r(s) = 3883*s - 38. What is 8*b(p) - 3*r(p)?
-1281*p + 2
Let d = 16783 + -16777. Let m(t) = -t**3 + t**2 - t. Let r(u) = 7*u**3 + u**2 + 6*u. Calculate d*m(c) + r(c).
c**3 + 7*c**2
Let x(t) = -10*t**2 + 1. Let d(p) = -27*p**2 + 3*p + 109.
|
{
"pile_set_name": "DM Mathematics"
}
|
ate o(w) + 4*v(w).
-3*w - 2
Let r(x) = -676*x. Let i(g) = -208*g - 208*g + 431*g. What is -182*i(u) - 4*r(u)?
-26*u
Let p(n) = -2132*n**3 + 18*n**2 + 2*n - 2. Let g(b) = -127919*b**3 + 1089*b**2 + 121*b - 121. Determine -4*g(u) + 242*p(u).
-4268*u**3
Let m(l) = 3777*l - 1. Let j(v) = -954*v. Determine 9*j(x) + 2*m(x).
-1032*x - 2
Let t(o) = 165760*o**3 - 777*o**2 - 259. Let n(c) = -1285*c**3 + 6*c**2 + 2. Determine 777*n(m) + 6*t(m).
-3885*m**3
Let f(b) = 318*b**3 + 18*b**2 - 10*b. Let v(w) = 159*w**3 + 7*w**2 - 5*w. Calculate 2*f(g) - 5*v(g).
-159*g**3 + g**2 + 5*g
Let g(a) = 2*a**2 + 5*a - 15. Let n(l) = -2*l**2 - 6*l + 16. Let w = 5989 + -5985. What is w*g(b) + 3*n(b)?
2*b**2 + 2*b - 12
Let c(m) = 11 + 5*m + 19 - 27. Let n(l) = -3*l - 2. Let h = 9 - -6. Let r = h - 7. Determine r*n(g) + 5*c(g).
g - 1
Let h(m) = -m**3 + 147*m**2 + 7*m + 8. Let d(a) = -2*a**2 + a - 2. Calculate 4*d(n) + h(n).
-n**3 + 139*n**2 + 11*n
Let y(q) = -8*q**2 + 4*q + 3. Let s(z) be the second derivative of -z**4/12 + z**3/6 + 2*z - 9037. Give 5*s(r) - y(r).
3*r**2 + r - 3
Let q(g) = 66*g**2 - 5. Let t(k) = -39039*k**2 + 1089*k - 264. Let a(f) = -429*f**2 + 12*f - 3. Let y(s) = 363*a(s) - 4*t(s). What is 33*q(x) - 5*y(x)?
33*x**2
Let b(n) = 29*n + 6. Let a(x) = -29*x - 6. Calculate 8*a(d) + 9*b(d).
29*d + 6
Let q(m) = 4*m**3 + 5*m**2 - 112*m - 7. Let y(u) = 6*u**3 + 9*u**2 - 227*u - 12. Give -5*q(w) + 3*y(w).
-2*w**3 + 2*w**2 - 121*w - 1
Let v(n) = 5*n - 1. Let l(a) = 14*a - 3. Let q(g) = -3*l(g) + 8*v(g). Suppose -10*f = -0*f - 260. Let u(c) = -1 + 31*c + f*c - 56*c. Determine 5*q(t) + 7*u(t).
-3*t - 2
Suppose b + 9 = 18. Suppose b*s = 5*s + 7*s. Suppose r + s*r + 5*o - 12 = 0, 3*r = -2*o + 62. Let g(f) = 9*f + 11. Let i(h) = h + 1. Calculate r*i(v) - 2*g(v).
4*v
Let y(p) = -75*p**2 + 54*p + 13. Let c(w) = 27*w**2 - 19*w - 4. Give -17*c(j) - 6*y(j).
-9*j**2 - j - 10
Let f(a) = -16*a**3 + 799*a**2 - 9*a - 18. Let v(u) = -7*u**3 + 399*u**2 - 4*u - 8. Determine -4*f(g) + 9*v(g).
g**3 + 395*g**2
Let b(r) = 16*r + 7. Let i(y) = 16*y + 334 - 116 - 212. Calculate -3*b(l) + 4*i(l).
16*l + 3
Let z be (-64)/544 - 53/(-17). Let x(i) be the first derivative of z*i**2 - i - 2/3*i**3 - 10. Let y(g) = 6*g**2 - 17*g + 3. Determine -17*x(d) - 6*y(d).
-2*d**2 - 1
Suppose 0 = -h - g - 274, 3*h + g + 946 = 122. Let v = h + 278. Let t(u) = -4*u + 2. Let x(s) = 5*s - 1 + 0*s - 2. What is v*t(r) + 2*x(r)?
-2*r
Let u(t) = 69*t**2 + 30*t - 11. Let m(w) = -65*w**2 - 30*w + 10. Give -12*m(b) - 11*u(b).
21*b**2 + 30*b + 1
Let d(b) = 4929*b**3 - 371*b + 371. Let q = -7457 + 7086. Let x(f) = -53*f**3 + 4*f - 4. Calculate q*x(y) - 4*d(y).
-53*y**3
Let y(d) be the second derivative of -d**3/2 + 9*d**2/2 - 15*d. Let g be 14/42 + 38/(-6). Let t(p) = 2*p - 8. Calculate g*t(f) - 5*y(f).
3*f + 3
Let h(c) = 5*c + 120. Let f(d) be the first derivative of -3*d**2/2 - 80*d - 1662. Determine 8*f(y) + 5*h(y).
y - 40
Let c(t) = 4*t**2 - 8*t. Suppose -5*s = -3*v, 3*v - v = -3*s - 19. Let f be (1 + 5)*(2*1 - 54/162). Let x(u) = u**2 - 3*u. What is f*x(g) + s*c(g)?
-2*g**2 - 6*g
Let b(t) = -4*t**2 + 7*t + 17. Let u(i) = -7*i**2 + 13*i + 35. Suppose 14*o - 150 = 39*o. Give o*u(p) + 11*b(p).
-2*p**2 - p - 23
Let j(g) = 3*g**2 + g - 5. Let d be 10*((-36)/(-15))/(-3). Suppose 0 = 254*a - 257*a - 15. Let q(n) = -5*n**2 - 2*n + 7. What is a*q(s) + d*j(s)?
s**2 + 2*s + 5
Let u(y) = 1. Let k be ((-2)/(-4))/((-1)/2). Let s(a) = -4*a + 7. Calculate k*s(j) + 6*u(j).
4*j - 1
Let c(h) = 46*h - 2. Let o(a) = -59*a + 598. Let f be o(10). Let u(z) = 31*z - 1. What is f*u(w) - 5*c(w)?
18*w + 2
Let x(p) be the second derivative of 19*p**3/3 + 2*p**2 + 7*p + 9. Let r(d) = 1785*d + 189. Determine 4*r(s) - 189*x(s).
-42*s
Let y(n) = n. Let f(i) = -4*i. Let h be (27/6)/(-3)*(-6)/(-54)*-12. Calculate h*f(c) - 2*y(c).
-10*c
Let x(d) = d + 1. Suppose 78 = -7*m + 11*m + 9*m. Let w(p) = -5*p - 10. What is m*x(z) + w(z)?
z - 4
Let j(x) = x**2 - 67*x + 100. Let v(y) = -2*y**2 + 123*y - 200. What is -11*j(z) - 6*v(z)?
z**2 - z + 100
Let c(m) = 40*m**2 - 19*m + 4. Let a(j) = -6*j**2 + 2*j. Calculate 6*a(z) + c(z).
4*z**2 - 7*z + 4
Let n(j) = 5*j + 11. Let r(f) = -6*f - 12. Let v = -5229 + 5223. Give v*r(c) - 7*n(c).
c - 5
Let n(y) = -y**2 - 49*y + 3322. Let m(r) = 3*r**2 + 179*r - 13290. What is -3*m(h) - 11*n(h)?
2*h**2 + 2*h + 3328
Let w(y) = -y. Let d(z) = 9*z - 1. Let m be (-140)/(-6) + (-124)/93. Suppose -16*h + 5*c = -15*h + m, h + 22 = -c. Give h*w(l) - 2*d(l).
4*l + 2
Let u(g) = 3*g**2 - g + 1. Let s(w) = 16*w**2 - 4*w - 995. Determine s(m) - 5*u(m).
m**2 + m - 1000
Let g(p) = -2*p**3 + 64*p**2 + 6*p - 1123. Let q(f) = -2*f**3 + 48*f**2 + 5*f - 1122. Determine -3*g(l) + 4*q(l).
-2*l**3 + 2*l - 1119
Let g(x) = -8*x**2 + 216*x - 4. Let a(o) = 24*o**2 - 589*o + 11. Determine 4*a(w) + 11*g(w).
8*w**2 + 20*w
Let m(b) = 150*b - 1049. Let h be m(7). Let l(u) = 6*u**2 - 4*u + 4. Let k(z) be the second derivative of z**3/6 - z**2/2 - z. Calculate h*l(p) + 4*k(p).
6*p**2
Let b(p) = -13*p + 147. Let a(o) = 12*o - 152. What is 4*a(m) + 3*b(m)?
9*m - 167
Let x(t) = -7. Suppose -4*i - 4*f + 16 = 0, -2*i + f - 17 = -19. Let h(u) = -u + 1. Determine i*h(b) + x(b).
-2*b - 5
Suppose -z = 4*i + 15, 4*i + 7 + 2 = z. Let n(y) = 2*y - 4. Let t(b) = -74 + 69 + 35*b - 34*b. Calculate z*n(f) + 2*t(f).
-4*f + 2
Let g(v) = 3*v**2 - 5*v - 4. Suppose 4*p - 3*p + 24 = 0. Let a be (-6)/p - (-3)/4. Let r(w) = 2*w + 1 + 22*w - 9*w - 6*w - 8*w. Calculate a*g(m) + 5*r(m).
3*m**2 + 1
Let k(p) = 13*p**3 - 10*p**2 - 9. Let z(q) be the first derivative of 3*q**4/2 - 5*q**3/3 - 4*q + 7463. What is -4*k(r) + 9*z(r)?
2*r**3 - 5*r**2
Let h(d) = -3*d**3 - 2*d - 1. Let y(l) = -329*l**3 - 3*l + 4. Give -h(k) + y(k).
-326*k**3 - k + 5
Let f(m) = 35*m - 609. Let g(c) = -10*c - 2. Calculate f(r) + 3*g(r).
5*r - 615
Let u(r) = 42*r + 67. Let g(t) = -42*t - 63. Calculate 6*g(b) + 5*u(b).
-42*b - 43
Let t(z) = -862*z**2 - 6*z - 11. Let v(c) = 288*c**2 + 2*c + 4. Give 4*t(j) + 11*v(j).
-280*j**2 - 2*j
Let v(i) = i**2 - 11. Let k(n) = -934 + 315 + 310 + 311. Suppose 2*j - 77 + 3 = 3*o, -3*o - 3*j = 54. Calculate o*k(p) - 4*v(p).
-4*p**2
Let t(c) = 163226*c - 445. Let z(n) = -1103*n + 3. What is -3*t(q) - 445*z(q)?
1157*q
Let o(q) = -18*q**2 + 12*q - 7. Let x(j) = 2*j**2 - 2*j + 1. Determine 2*o(c) + 14*x(c).
-8*c**2 - 4*c
Let k(a) = -58*a**3 + 15*a**2 + 14*a - 6. Let j(z) = -114*z**3 + 29*z**2 + 26*z - 11. Determine 6*j(f) - 11*k(f).
-46*f**3 + 9*f**2 + 2*f
Let i(v) = 36*v**3 - 54*v**2 + 54. Let y(x) = x**3 - x**2 + 1. Let w = 12620 - 12674. Calculate w*y(u) + i(u).
-18*u**3
Let j(k) = k**3 - k**2 + k. Suppose 2696 = 15*o - 1024. Let n = 242 - o. Let y(z) = -8*z**3 + 5*z**2 - 6*z - 2. Calculate n*j(p) - y(p).
2*p**3 + p**2 + 2
Let k(u) = 2785*u + 4. Let r(y) = 43239891*y + 62106. Determine -31053*k(z) + 2*r(z).
-2823*z
Let w(x) = -42*x**2 + 697*x - 3. Let b(h) = -13*h**2 + 233*h - 1. Calculate 11*b(v) - 4*w(v).
25*v**2 - 225*v + 1
Suppose 0 = -53*p - 47 + 418. Let n(o) = -13*o. Let r(s) = 40*s. Calculate p*n(l) + 2*r(l).
-11*l
Let f(m) = 9*m - 5. Let p(d) = 6*d - 3. Let h(k) = k**3 + 14*k**2 - 18*k - 40. Let c = 350 - 365. Let n be h(c). What is n*f(y) - 8*p(y)?
-3*y - 1
Let v(x) = -286*x**3 + 77*x**2 + 77*x. Let p(c) = -11*c**3 + 3*c**2 + 3*c. Let k = 5983 + -5986. Calculate k*v(h) + 77*p(h).
11*h**3
Let k(y) = -16*y - 11. Let g(t) be the second derivative of -10*t - t**2 + 0 - 1/2*t**3. Let b = -17 + 19. What is b*k(c) - 11*g(c)?
c
Let h(b) = -35*b + 60. Let v(u) = -35*u + 74. Give 3*h(f) - 2*v(f).
-35*f + 32
Let l(g) = 63*g**3 + 19*g**2 + 39*g + 3. Let q(i) = -126*i**3 - 38*i**2 - 65*i - 5. What is 5*l(f) + 3*q(f)?
-63*f**3 - 19*f**2
Let z(x) = 4*x**3 + 19*x - 12. Let p(u) = u**3 + 5*u - 3. Let t(i) = -11*p(i) + 3*z(i). Let o(w) = -w**3 - w + 2. Let v = 0 - 5. What is v*o(m) - 3*t(m)?
2*m**3 - m - 1
Let h(f) = 8*f + 3. Let u be (11 - (-2 - -2))/1. Suppose y - u - 7 = 0. Suppose -7*m + y + 101 = 0. Let r(c) = 3*c + 1. Determine m*r(q) - 6*h(q).
3*q - 1
Let r(b) = b - 1. Let j = 239 + -197. Let t(i) = -92 + 51 + j - 2*i. Determine -5*r(y) - t(y).
-3*y + 4
Let p(m) = 4*m**3 + 6*m**2 - 8*m + 6. Let g(d) = 7*d**3 + 21*d**2 - 13*d + 13. Let q(i) = -2*i**2 - i. Let r(z) = -g(z) - 4*q(z).
|
{
"pile_set_name": "DM Mathematics"
}
|
l.
2
Let b = -31 + 34. Solve -3*m = -15, -b*n + 10 = 2*n + m for n.
1
Let h be 3 + (-24)/6 + 6. Solve t = 5*t - h*s, 4 = s for t.
5
Let o(g) = g**2 - 4*g - 1. Let p be o(5). Solve -4*i + 14 = 3*c, 5*c + p*i - 23 + 5 = 0 for c.
2
Let v = -150 - -152. Solve 3*i - v + 0 = -2*u, -u + 1 = 0 for i.
0
Let b = 7 + -5. Let v = 2 - 1. Suppose 3 = 3*z, 4*z - z = -3*o + 18. Solve -h - 4*q + v = -b, -o*q = -5 for h.
-1
Let w be 1/((-30)/(-14) + -2). Solve 4*l - 17 = -3*y + 3*l, -3*l + w = -2*y for y.
4
Suppose -15 = -5*r - 3*f, 3*r - 4*f - 5 = 4. Let p(t) = -3*t + 1. Let z be p(-3). Solve -5*j = o - 14, -3*j + 2*j + r*o = z for j.
2
Let w(d) = -d**3 + d**2 - d - d**2 + 2 - d**2. Let p be w(-2). Suppose -f - f + p = 0. Solve f*v = -5*r - 6, 5*v = -2*r - 15 - 1 for r.
2
Let k = 44 + -31. Let y = k - 11. Solve -2*w + 6 = d - 0*w, y*w - 18 = 2*d for d.
-4
Let c = -9 - -13. Solve 5*j = -5*y - 10, -2*y - 3*j - c = -0*y for y.
-2
Let t = 139 + -137. Solve -v = 4*p + 14, -t*v = 3*v + 3*p + 2 for v.
2
Suppose 3*n = -n + 4. Let j(z) = 4 - 9*z - 6 - 2*z - n. Let f be j(-2). Solve -4*w - 4*k = 36, 0*w - f = w + 3*k for w.
-4
Suppose 12 = 218*z - 215*z. Let c(x) = 4*x - 8. Let u be c(6). Solve -5*h = f - 2, 3*h + 5*f = z*h - u for h.
1
Let b be 60/(-14) + 4/14. Let z(v) = v**2 - 3 + v + 0 - 3*v. Let r be z(b). Solve -9 = -5*m - w, 3*m + 5*w = 2*m + r for m.
1
Let x be 4 + (0 - 6/3). Solve -2*w = 2*z, 2 = -z - 3*w - x for z.
2
Let g be (-2 - -3 - 0)*16. Let i be (-46)/(-10) - 2/(-5). Suppose x - j = 5*x - 13, -i*x + 14 = -j. Solve g = -4*y, 0 = v - 0*y - x*y - 14 for v.
2
Let z be (0/1)/((-14)/(-7)). Solve z = -3*x - 2*y - 3, -3*x - 5*y = -y - 3 for x.
-3
Suppose -5*l + 0*l = 0. Solve 3*z - q - q - 2 = 0, l = -4*z - 5*q - 5 for z.
0
Let h be 4/34 + 906/102. Solve 0 = 3*x + 3*t - 3, -x + 3*t = -h - 4 for x.
4
Let h(t) = -t**3 + 5*t**2 - 6*t + 3. Let d be h(2). Solve -d*a + 25 = -4*g + 2*a, 4*a = 20 for g.
0
Suppose -2*f + 5*h + 9 = -11, 3*f + 5*h - 5 = 0. Solve 3*k = -f*r + 5, 2*r + k - 1 = 1 for r.
1
Suppose 0 = -2*r - 13*l + 10*l + 28, -4*l = -5*r + 24. Solve -8*i + r = 4*w - 3*i, 2 = w - 3*i for w.
2
Let z be (-3)/(-2) - (-10)/20. Solve -5*h - 20 + 9 = 3*y, -7 = -5*y - z*h for y.
3
Suppose -6 = -5*w + 44. Solve 0 = -2*m + 2*n - w, -m = n - 5 + 4 for m.
-2
Let g(y) = -y**2 + 4 - 1 + 4*y + 2*y**2. Let s be g(-2). Let j be (-12)/((-2 - -3)*s). Solve -m + 5*a + 10 = -6*m, 4*a + j = -2*m for m.
2
Let f be (-1 + -2)*8/(-6). Suppose -v + 14 = -j, -5*v - 4*j + 37 = -78. Let b = 6 + -4. Solve -s - 5*k = v, -b*k + 14 = -9*s + f*s for s.
-4
Let n be ((-16)/(-12))/((-2)/(-3)). Solve 0 = 4*g - n*c + 4*c - 10, 4*c + 4 = 0 for g.
3
Let o be 4/12 + 10/6. Solve 0*y + o*c = -y - 8, 5*y - c + 7 = 0 for y.
-2
Let n(w) = -3*w - 2. Let o be n(-1). Let y(d) be the second derivative of d**4/6 + d**2/2 - d. Let s be y(o). Solve -4*r + 3*c = 2*c + 25, 0 = s*r + 3*c for r.
-5
Let y(p) = p**2 - 4*p + 2. Let w be y(4). Let g(q) = -2*q**2 - 15*q + 11. Let z be g(-8). Solve -3*u = -5*r, -z*r + w*r = 2*u for u.
0
Let j = 1 - -2. Suppose -1 = z - j. Solve -z*g + 6 + 1 = -3*x, -g = -2 for x.
-1
Let y be (-24)/(-18)*1*3. Solve 4*t - 18 = 2*n, -3*t = -n - y*t for n.
-3
Let j(d) = -5*d**2 + 7*d - 7. Let k(f) = f**2 - 1. Let v(t) = j(t) + 6*k(t). Let b be v(-9). Solve -b*g + 3*g + 3*r = 4, -5*g + 5*r = 5 for g.
1
Let p = 302 + -300. Let n(i) = i**2 + 7*i + 4. Let f be n(-4). Let d = 13 + f. Solve 5 = 2*m - d*y, -p*m - 4*y - 4 = -3*m for m.
0
Let n(u) = -6*u - 1. Suppose 0*m - 4*m - 16 = 0. Let d be (-2)/m + (-3)/2. Let z be n(d). Solve -o = 6*l - l + 10, -5*o - z*l - 10 = 0 for o.
0
Suppose 8 + 7 = 5*h - 2*k, -k = -2*h + 7. Let t be ((-3)/6 - h)*-2. Solve -t*x - 3*w = x - 5, 8 = x + 3*w for x.
-1
Let g(d) = -d + 15. Let w be g(10). Solve r = 5*m - 2*m + 5, 1 = -w*r + 2*m for r.
-1
Let f(o) = -o**2 + 9*o + 2. Let c be f(9). Let v be 1*(c/(-2) - -1). Solve v*y = 4*g + 4*y - 4, -4*g = y - 13 for g.
4
Let m = 10 + 10. Suppose -m = b - 6*b. Solve -2*w - 10 = -b*o + 16, -o - 5*w - 10 = 0 for o.
5
Let n(d) = -d**2 + 13*d - 15. Let p be n(12). Let w be (-6)/18 + (-7)/p. Solve -4*t = 2*g + 14, 0*g = -4*g + 2*t + w for g.
-1
Let f = -16 - -16. Solve f = q + 5*o, 4*q - o = 5*q + 4 for q.
-5
Let r be 1/(4*5/60). Solve -h - r = -y - 6, -y + 4*h = 15 for y.
1
Let g be ((-4)/5)/((-14)/35). Solve -5*x = 3*y - 3, -y - g*x = 3*x - 1 for y.
1
Let q be (-9)/(-18) - ((-6)/4 - 2). Solve 5*s = q*d + 29, -2*d = -3*s + 3 + 14 for d.
-1
Let t = 1 - 1. Suppose 5*y - 3*y = t. Suppose 4 = -4*i - y, -q + 3*i = -32. Solve 0 = -3*b + 4*j - q, -23 - 17 = 5*b - 5*j for b.
-3
Let z be (-56)/10 + (-4)/10. Let m = z + 9. Solve -3*y - 7 = -m*o + y, -o - 2*y - 1 = 0 for o.
1
Let y(q) = -4*q + 5*q + 11 + q**2 + 7*q - q. Let l be y(-8). Solve 3*r = -3*a + 6, -2*r - a + l = -4*a for r.
5
Let r be (4/7)/((-8)/(-28)). Solve -2*c - 8 = 0, r*c + 3*c = 3*d - 14 for d.
-2
Let j = -54 - -56. Suppose 0 = -n - n + 8. Solve p - 21 = n*d - 0*d, 5*p - 15 = j*d for p.
1
Let i(n) = 6*n - 14. Let s be i(4). Let u be 5*-2*(-4)/2. Let f be (-4)/12 + u/6. Solve y - f*h = 2, 5*h = 5*y - s - 0 for y.
2
Let c(h) = 3*h**2 + 3*h - 2*h**2 - h - 4. Let i be c(-5). Suppose -5*f + 31 = -9. Solve i = -4*r + 5*a, -2*r - 4*a = -f*a + 10 for r.
1
Suppose 3*m - d - 8 = 0, -d + 6*d = 3*m - 16. Let x be (23/2)/(1/m). Suppose x - 138 = -5*s. Solve -3*i + 4*l + 27 = 0, -4*i + 0*l = -l - s for i.
5
Suppose -228 = -5*q + 2*b - 4*b, 0 = 5*q - 3*b - 233. Let v = -28 + q. Solve -3*r = 2*n + 4, 5*r - v = 5*n + 17 for n.
-5
Suppose -7*v = -3*v - 20. Solve 0 = -0*f - 2*f - l, 3*f - v = -4*l for f.
-1
Suppose -i + 4 = 4*i + 2*n, -5*i + 3*n = 6. Let s be (0 - -2) + i/(-1). Solve 0 = -5*l + s*t + 3, 2*t = 3*l + t - 1 for l.
-1
Let t(p) = 2*p**2 - 2*p. Let z be t(3). Let s be 2/8 - 3/z. Let h be 6/(-3) + s - -4. Solve 2*l + 0*l = -u - 2, -2*u + 8 = -h*l for l.
-2
Let c be 3/(-9) - (-85)/(-15). Let v be 24/9 - 2/c. Solve v*g + 27 = 4*n, 3*g = g + 5*n - 25 for g.
-5
Suppose 3*a - 2*r = -10, -a - 4*r = -3*r + 10. Let h = 0 - a. Suppose -h*v + 60 = -v. Solve 3*p - 35 = 5*n, 4*n = n - v for p.
5
Let m(n) = -n**2 - 5*n. Let i be m(-4). Suppose -w = -3*s + 13, i*w - 15 = -s - w. Solve 2*l = 4*a - 8, s*l + 7 = a - 4*a for l.
-2
Let p be 2/(-8)*0 - -3. Solve p*o - 14 = -2*g, 5*g + 3 = 2*o - 0*o for g.
1
Suppose 0 = -d + 5 - 2. Solve -4*i = -0*i + 3*n + d, 0 = -2*i + 2*n + 16 for i.
3
Let v be 2/(-4) + (-90)/(-12). Suppose d + 2 = v. Let t be 2/3*12/2. Solve d*b = 3*c - 14, -1 + t = c for b.
-1
Let n be (-3 - 3)*4/(-6). Let p = -2 + 3. Solve m + 0*w - w - p = 0, n*w + 16 = 0 for m.
-3
Let k be 1/4 + 14/8. Suppose -5*o = 4*a + 8, 2*o = 3*a - 0*o - 17. Suppose 5*b + 5 = -10, -4*g + a*b = -25. Solve -g*i + 17 = -k*i - 5*j, 2*i = -3*j - 23 for i.
-4
Suppose -o = -5*r + 23, -r + 2*o - 2 = -3. Solve 5*w - 20 = 0, -r*w - 12 + 35 = -3*l for l.
-1
Let o = 190 - 188. Solve 0 = -2*h + 4*s - 28, o*h - s + 3*s - 2 = 0 for h.
-4
Suppose 0 = v - 0*l + 5*l - 4, -4*v = -4*l + 32. Let x(s) = -s**3 - 7*s**2 - 6*s + 1. Let r be x(v). Solve 0*b + b = r, -4*d - 5*b = -17 for d.
3
Suppose -25*z + 20*z + 105 = 0. Let t(d) = d**3 + 5*d**2 + 3*d - 1. Let v = 5 - 9. Let r be t(v). Solve -13 = -r*h - 5*l, -z = -h + l - 6*l for h.
-4
Let u be (-2 + 3)/1 + 8. Solve 3*i + 0*i = -3*l - u, 2 = -2*l - 4*i for l.
-5
Suppose 20 = -h + 5*h. Solve v = 0, l - 6*l + h*v = 15 for l.
-3
Suppose -2*j + j = 0. Let i(w) = w**2 - w + 2. Let p be i(j). Solve -10 = y - 5*q, 2*y - p*q + 6 = q for y.
0
Let z be -6*(78/18 - 5). Solve 5*a - 23 = 3*a + 5*q, 0 = z*a - q - 19 for a.
4
Let p(j) = -j**2 + 11*j - 12. Let x be p(9). Suppose 0 = -0*l - 2*l + 2. Let v be 35/10 + l/2. Solve -4*t - v*r + 32 = 0, 36 = -t + x*t + 4*r for t.
4
Let w = -4 + 7. Suppose -24 = -4*g + 5*v - w*v, g = 2*v + 12. Suppose 3*b - 6 + 21 = 0, -2*p - g*b = 8. Solve 0 = 4*i + 16, -3*i = f + 8 + p for f.
-2
Let l(x) = -x**3 + 4*x**2 + 4*x + 7. Let g be l(5). Suppose -5*a + 4 = 2*c - g, 4*a + 5*c + 2 = 0. Solve -2*y + 3*n - a = -3, -2*n + 14 = -5*y for y.
-4
Let s(w) = 5*w**2 + 1 - 2*w - 1 + 1. Let o be s(1). Solve -a = 3*q - 15, o*q - 3*a + 8*a = 31 for q.
4
Let b be 1/(-4*(-3)/24). Solve 2*f + 14 = -4*p, 0*f - b*p = -5*f + 1 for f.
-1
Let b be -1*(0 + -4 - -2). Suppose s = -b +
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when (-3)/(-9) - 350/(-21) is divided by 7.
3
Let y = 88 + -60. What is the remainder when 109 is divided by y?
25
Let n = -23 - -76. Calculate the remainder when n is divided by 20.
13
Suppose 0 = -5*y - 4*r + 120, 4*r = -4*y + 20 + 80. What is the remainder when 31 is divided by y?
11
Let l(q) = q + 13. Let t = 3 + -3. Let a(d) = -d**2 + d + 38. What is the remainder when a(0) is divided by l(t)?
12
Suppose 4*y = -4*r + 16, -4*y = -y - 3. Suppose -44 = r*k - 7*k. Calculate the remainder when 31 is divided by k.
9
Let f(t) = 2*t**2 + 3*t + 2. Let y(u) = -9 - 6*u**2 - u - 12*u - u**2. Let l(x) = 9*f(x) + 2*y(x). Calculate the remainder when l(3) is divided by 20.
19
What is the remainder when 633/12 - (-1 - 3/(-4)) is divided by 14?
11
Suppose s = -3*a - 4, 3*s - 5*a - 44 = -0*s. Suppose s + 4 = 2*g. Suppose -p = 3*w - 25, -2*w = -p + g*p - 34. Calculate the remainder when 12 is divided by w.
5
Let t be (-8 + (-2)/(-1))/(-1). Let c be ((-8)/t)/((-2)/3). Suppose 4 + 20 = c*a. Calculate the remainder when 34 is divided by a.
10
Suppose 0 = 3*v - 2*v - 3. Suppose 0 = v*d - 0 - 24. What is the remainder when -2*591/(-78) - 4/26 is divided by d?
7
Let q(h) = -h**3 + 6*h**2 + 2*h - 7. Let g(r) = r - 2. Let x be g(8). Let w be q(x). Let u = w - -11. Calculate the remainder when u is divided by 6.
4
Suppose -2*x = -5*w - 565, 5*x + 3*w + 282 = 6*x. Suppose o = 6*o - x. What is the remainder when o is divided by 12?
9
Suppose 5*b - 50 = -4*d, 0*d - 2*d - 4*b + 22 = 0. Suppose -l + 35 = 6. Calculate the remainder when l is divided by d.
14
Suppose -15 = -c + 3. Calculate the remainder when 18 is divided by c.
0
Let p = -8 + 17. Let i = -36 + 62. Calculate the remainder when i is divided by p.
8
Let y(i) = 7*i**2 - 3. Let c be y(-2). Let k = 45 - c. What is the remainder when k is divided by 7?
6
Suppose 3*q - 4*z = 155, -q = -4*q - 3*z + 141. Suppose 4*j - 100 = -0*j. What is the remainder when q is divided by j?
24
Suppose 2*p + 4*l = 3*l + 8, 3*p + l - 13 = 0. Suppose -4*r = p*a - 7, -5*a + 3*r + 8 + 13 = 0. What is the remainder when a is divided by 1?
0
Suppose 5*x = -26 + 351. Calculate the remainder when x is divided by 18.
11
Suppose 2*x - 5*x = -30. Let t(r) = 2*r - 4. Let s = -4 + 9. Calculate the remainder when x is divided by t(s).
4
Suppose 3*d - 664 = d. Suppose 4*i + 40 - d = 0. What is the remainder when i is divided by 19?
16
Suppose -119 + 13 = -2*w. Let u(p) = -p + 10. Calculate the remainder when w is divided by u(-4).
11
Suppose 4*c - 139 = 169. Calculate the remainder when c is divided by 1/(-5) - (-303)/15.
17
Let u = -59 + 68. What is the remainder when 24 is divided by u?
6
Let o = 17 + -10. What is the remainder when (-2475)/(-100) - 10/(-8) is divided by o?
5
Let q = 118 + -63. Calculate the remainder when q is divided by 15.
10
Suppose 4*b + 100 = -0*c + 4*c, 0 = 5*c + 4*b - 98. What is the remainder when 107 is divided by c?
19
Let z be -24*(-5)/(30/32). Suppose z - 5 = 3*k. Suppose 2*j = -5*p + 76, -5*j - 1 = p - 30. What is the remainder when k is divided by p?
13
Calculate the remainder when 75/(-3)*(-2)/2 is divided by 9.
7
Let p = -5 + 26. Suppose -2*g = -2*y - 45 + 139, -g + 229 = 5*y. Suppose 3*n = -y + 169. What is the remainder when n is divided by p?
20
Let i(t) = -14*t - 3. What is the remainder when 32 is divided by i(-1)?
10
Let d = -23 + 76. What is the remainder when d is divided by 18?
17
Let f be 14/(-35) - (-367)/5. Let s = -18 + f. Calculate the remainder when s is divided by 29.
26
Suppose 72 = a + 3*a. Calculate the remainder when 36/(-162) + 562/a is divided by 16.
15
Let u = 5 - 3. Let v = 34 - 30. Calculate the remainder when v is divided by u.
0
Let m = -6 - -4. What is the remainder when m/7 + 65/7 is divided by 6?
3
Suppose 4*g + 5*f = 3*g + 77, -4*g + 5*f = -233. What is the remainder when g is divided by 21?
20
What is the remainder when 55 is divided by 2/6 + (-774)/(-27)?
26
Let x(j) = 11*j - 32. What is the remainder when x(13) is divided by 16?
15
Let j(m) = m**2 - 8*m + 8. Let u be (3/(-3))/((-2)/16). Let f be j(u). Let p = 27 - f. What is the remainder when 36 is divided by p?
17
Let l be (-10)/(-15) - (-4)/(-6). Suppose l = -7*m + 2*m + 15. Suppose 2*t = -3*r + 3*t + 25, -47 = -5*r + m*t. What is the remainder when 20 is divided by r?
6
Let f = -5 - -4. Let w = 16 + f. What is the remainder when 42 is divided by w?
12
Let i = 0 - 0. Let z be (-4)/26 - 3009/(-39). Suppose -s - 4 = -0*s, i = 5*c + 2*s - z. What is the remainder when c is divided by 9?
8
Suppose -7*o + 440 = 132. Calculate the remainder when 263 is divided by o.
43
Let p(g) = -g**3 - 4*g**2 + 8*g + 1. Suppose -r + 0 = -7. What is the remainder when p(-6) is divided by r?
4
Suppose 0 = i + 4 - 3. Suppose 0 = 3*x - 91 - 17. Calculate the remainder when x is divided by i/(((-12)/(-4))/(-39)).
10
Suppose 3*s - 31 = -4. What is the remainder when s is divided by 3?
0
Let g = -19 + 33. Calculate the remainder when g is divided by 3 - (2 - 0) - -7.
6
Let s be (2/(-6))/(3/9). Let u = s + 3. Suppose -3*k + 3*y = -4 - 23, -u*k = -y - 20. What is the remainder when 32 is divided by k?
10
Suppose 0*r + 4*r = 0. Suppose r*x + 5*x = 125. Suppose -4*s = -2*u - 5*s + 21, 3*u - 3*s - 54 = 0. Calculate the remainder when x is divided by u.
12
Let d = 12 + -10. Suppose -5 = -5*v - 0*v. Let h = 2 - v. What is the remainder when d is divided by h?
0
Suppose 0 = n + 2*n. Suppose -5*l = -b, b + 3*l - 40 = -n*l. What is the remainder when b is divided by 7?
4
Suppose 2*f - 9 - 9 = -4*h, 0 = 4*f + 2*h - 24. Calculate the remainder when f is divided by 3.
2
Suppose -4*p + 5*w + 51 = 0, 2*p - w - 33 = -0*w. What is the remainder when 37 is divided by p?
18
What is the remainder when ((-2)/(-6))/(1/150) is divided by 13?
11
Suppose 4*n - 20 = 88. Let d = n - -18. What is the remainder when d is divided by 12?
9
Suppose 0 = -t + 5 + 4. Calculate the remainder when t/2*4/2 is divided by 4.
1
What is the remainder when 25 is divided by (145/(-15) - 1/3)*-1?
5
Suppose 5*q + 78 = 7*q. What is the remainder when q is divided by 21?
18
What is the remainder when 12/18 + (-13)/(-3) is divided by 4?
1
Let m = -2 - -2. Suppose -4*d + 11 + 29 = m. Suppose 2*g - 5*x - 14 = -0*g, -g = -x - d. Calculate the remainder when 22 is divided by g.
10
Suppose 0 = -5*c + 6*c - 18. What is the remainder when 51 is divided by c?
15
Calculate the remainder when 56 + (-3)/(-1) - 0 is divided by 20.
19
Suppose 4*q + q + 479 = 4*a, -3*q = -3*a + 363. What is the remainder when a is divided by 32?
30
Let h(p) = -p**3 - 10*p**2 - 3*p - 7. Let i(l) = -10*l**2 + l + 1. Let r be i(-1). What is the remainder when h(r) is divided by 12?
11
Let r = -4 - -16. What is the remainder when -1 - (-35 + (0 - 0)) is divided by r?
10
Let v = 23 - 22. Let f(m) = 19*m. Calculate the remainder when (-554)/(-10) + 4/(-10) is divided by f(v).
17
Suppose -t + 65 = 4*t. Let p = 75 + -38. What is the remainder when p is divided by t?
11
Let v = -10 - -39. Let d = 222 - 136. What is the remainder when d is divided by v?
28
Let q(x) be the first derivative of x**2 + 5*x + 1. Calculate the remainder when q(9) is divided by 8.
7
Suppose -4*y + 745 = -63. Calculate the remainder when y is divided by 12.
10
Suppose 2*m = 5*m - 60. Calculate the remainder when m is divided by 11.
9
Let b be (-2)/((-62)/20 + 3). Let p = -13 + b. Calculate the remainder when p is divided by 3.
1
Let s(f) = f**2 - 2*f - 18. Calculate the remainder when 15 is divided by s(6).
3
Let p(l) = -3*l**2 - 2*l - 4. Let g be p(-3). Let o = -13 - g. Let r = -42 - -49. What is the remainder when o is divided by r?
5
Let j(d) = 7*d**3 - d**2 + 2*d - 1. Suppose 0*x + 3*x - 3 = 0. Let v(c) = -2*c**2 + 24*c - 9. Calculate the remainder when v(11) is divided by j(x).
6
Let m = 2 - -3. Suppose -6*p + 33 = -3*p + 5*t, 39 = 4*p + m*t. Let w(q) = q + 4. Calculate the remainder when 18 is divided by w(p).
8
Suppose 0*g - 12 = -g. Let i = -49 + 94. What is the remainder when i is divided by g?
9
Let o(p) = -p**3 - 3*p + 2. What is the remainder when o(-3) is divided by 20?
18
Let z(o) = 9*o - 7. Let q be z(-5). Let w = -35 - q. Calculate the remainder when w is divided by 10.
7
Let d = -3 - -7. Suppose 10 + 10 = d*w. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 = 0.
-3, -1, 0
Factor -3*u**3 - 198*u**2 + 6 - 12*u + 198*u**2 + 21*u.
-3*(u - 2)*(u + 1)**2
Let b(l) be the first derivative of -1/15*l**3 + 3/25*l**5 + 29 - 2/15*l**6 + 13/20*l**4 - 2/5*l - 9/10*l**2. Let b(p) = 0. Calculate p.
-1, -1/4, 1, 2
Suppose 4*a + 3*b - 50 = 6, -b - 21 = -a. Factor -11*x - 12 - 3*x**2 + 9*x + a*x.
-3*(x - 4)*(x - 1)
Factor 1/2*g**3 + 361/2*g + 0 + 19*g**2.
g*(g + 19)**2/2
Let b be -14 - 288/(-40)*2. Determine g, given that 4/5*g**2 + 8/5 - 14/5*g + b*g**3 = 0.
-4, 1
Factor 2*c + 16/17*c**4 + 8/17 + 44/17*c**3 + 56/17*c**2 + 2/17*c**5.
2*(c + 1)**4*(c + 4)/17
Factor -a**4 - 4*a**4 - 112*a**3 - 160*a**2 - 160*a + 62*a**3.
-5*a*(a + 2)*(a + 4)**2
Let w(x) = -7*x**3 + 4*x**2 + 13*x + 12. Let a(t) = -3*t**3 + t**2 + 1. Let f(d) = -4*a(d) + 2*w(d). Factor f(l).
-2*(l - 5)*(l + 1)*(l + 2)
Factor -l**5 - 98*l - 54*l**3 + 10 - 7*l + 12*l**4 + 16 + 10 + 112*l**2.
-(l - 4)*(l - 3)**2*(l - 1)**2
Factor -2205 + 5*b**2 - 210*b + 8*b**2 - 33*b**2 + 15*b**2.
-5*(b + 21)**2
Let g(c) be the third derivative of 0*c**3 + 0*c - 1/40*c**6 + 0 + 1/168*c**7 - 15*c**2 - 11/240*c**5 + 1/16*c**4. Factor g(k).
k*(k - 3)*(k + 1)*(5*k - 2)/4
Let c(t) be the first derivative of 140*t**3 - 424*t**2 + 16*t + 256. Determine y, given that c(y) = 0.
2/105, 2
Find t such that -4/3*t + 14/3*t**4 + 4/3*t**3 - 14/3*t**2 + 0 = 0.
-1, -2/7, 0, 1
Suppose 2/9*v**2 - 2/3*v - 12 = 0. Calculate v.
-6, 9
Let y(c) be the first derivative of -3*c**5/5 + 45*c**4/2 + 132*c**3 + 204*c**2 + 181. Find i such that y(i) = 0.
-2, 0, 34
Let a(d) = d**2 + 3*d + 3. Let q be a(-3). Let f(w) = w**2 - 5*w + 6. Let x be f(1). Factor 2*t - q*t**x + 1 - 8*t + 8.
-3*(t - 1)*(t + 3)
Let m(u) be the first derivative of 2*u**5/45 - u**4/2 + 46*u**3/27 - u**2/3 - 8*u - 137. Factor m(w).
2*(w - 4)*(w - 3)**2*(w + 1)/9
Let p(r) = -r**3 + 14*r**2 - 15*r + 17. Let m be p(9). Let a = 869/3 - m. Factor a*d**2 + 8/3*d**3 + 0*d - 2*d**4 + 0.
-2*d**2*(d - 2)*(3*d + 2)/3
Factor 23*w**5 + 9709*w**3 - 9809*w**3 - 28*w**4 + 9*w**5 - 44*w + 148*w**2 - 8.
4*(w - 1)**3*(w + 2)*(8*w + 1)
Suppose 3*x - 12 = -x - y, -x = -4*y + 14. Suppose 4 = 2*g - 0. Suppose -18*u**x + 3*u + 12*u**3 - 3 - 5*u**4 + 9*u + g*u**4 = 0. What is u?
1
Suppose 0 = 3*h + 3*b - 15, 0 = -h + 2*b - 8 + 1. Let -3/2*p + h + 1/2*p**2 = 0. What is p?
1, 2
Solve -1/2*c**3 + 0 + 0*c + 1/2*c**2 = 0.
0, 1
Let h(y) be the second derivative of 0 + 2/39*y**4 + 7/39*y**3 - 2/13*y**2 + 17*y. Find k, given that h(k) = 0.
-2, 1/4
Let -3/2*j**3 + 0*j**4 + 3/4 - 3/4*j**2 + 3/8*j**5 + 9/8*j = 0. What is j?
-1, 1, 2
Suppose 2*t**4 + 8*t**4 + 384 - 5*t**4 - 640*t - t**4 - 60*t**3 - 665*t**2 + 977*t**2 = 0. What is t?
1, 4, 6
Let m(j) be the third derivative of -1/180*j**6 + 0 + 0*j - 5/36*j**4 - 2/9*j**3 - 2/45*j**5 + 18*j**2. Find k, given that m(k) = 0.
-2, -1
Let y be (4/(-6))/((-11)/(-66)). Let s be y/(-28) - 5/(-14). Determine x so that 2*x**2 + 2*x**4 + 1/2*x + 3*x**3 + 0 + s*x**5 = 0.
-1, 0
Let p be 104/(-676) - (-2 - (-75)/(-65)). Solve 0 - 1/8*t**5 - 1/8*t**p + 3/4*t**4 - 3*t**2 - 2*t = 0 for t.
-1, 0, 4
Suppose -1645 = -9*p + 2*p. Let 13 + 11 + 23 - 260*o + 410*o**2 - 7 - p*o**3 + 45*o**4 = 0. Calculate o.
2/9, 1, 2
Let z = 5/3759 + 81440/3759. Factor 80*x + z*x**2 + 5/3*x**3 + 60.
5*(x + 1)*(x + 6)**2/3
Let b(r) be the second derivative of 0*r**2 + 9/16*r**5 - 3/8*r**3 - 1/2*r**4 + 15*r + 0 - 1/10*r**6. Suppose b(d) = 0. What is d?
-1/4, 0, 1, 3
Let y(k) be the third derivative of 0*k**3 - 1/70*k**7 + 3/5*k**5 + 0*k + 0 + 0*k**6 - k**2 + 2*k**4. Factor y(d).
-3*d*(d - 4)*(d + 2)**2
Suppose 35*v + 18 - 88 = 0. Let m(k) be the second derivative of 0 - 1/5*k**5 + 0*k**v + 1/24*k**4 + 2*k + 1/12*k**6 + 1/6*k**3. Let m(y) = 0. Calculate y.
-2/5, 0, 1
Let w(n) be the third derivative of 0*n + 0*n**3 + 0*n**4 + 0*n**5 + 23*n**2 + 8/105*n**7 + 0 - 1/30*n**6. Suppose w(j) = 0. What is j?
0, 1/4
Suppose -3*m - 3*w - 144 = -m, -148 = 2*m + 4*w. Let x be ((-9)/(-2))/(11/(m/(-36))). Factor 3 + 3*j + x*j**2.
3*(j + 2)**2/4
Let s(w) = 4*w**4 + 5*w**3 - 12*w**2 + 13*w. Let a(q) = -4*q**4 - 4*q**3 + 12*q**2 - 12*q. Let u(r) = 5*a(r) + 4*s(r). Factor u(i).
-4*i*(i - 1)**2*(i + 2)
Let g(c) = -c**3 - 14*c**2 - 14*c + 9. Let u be g(-13). Suppose -6 = 20*n - u*n. Factor 0 + 7/4*w**2 + 1/2*w + 5/4*w**n.
w*(w + 1)*(5*w + 2)/4
Let x be (2 - 6 - (-1136)/14) + 4. Let c = x - 81. Solve c*o**3 + 4/7*o**2 + 0 + 4/7*o = 0.
-2, 0
Let a(g) be the second derivative of -g**5/70 + g**4/42 + 25*g**3/21 - 25*g**2/7 - 97*g. Suppose a(w) = 0. Calculate w.
-5, 1, 5
Let u be (-1)/(((-48)/18)/8). Let q(d) be the third derivative of -6*d**2 + 1/12*d**6 + 2/15*d**u - 19/60*d**4 + 4/15*d**5 + 0 + 0*d. Factor q(g).
2*(g + 2)*(5*g - 1)**2/5
Let z = -2653 + 18576/7. Suppose 4 = 4*x + 4*b, -x - 3*x = 2*b - 6. Factor 4/7*g**x + z*g + 2/7 + 1/7*g**3.
(g + 1)**2*(g + 2)/7
Let l(a) = 6*a**2 - 1084*a + 153458. Let z(r) = -r**2 - 6*r. Let f(u) = -l(u) - 4*z(u). Factor f(i).
-2*(i - 277)**2
Suppose -87*j + 621 + 1281 = -4362. Solve 54 + 39/2*s**2 + j*s + 3/2*s**3 = 0.
-6, -1
Let t(n) be the third derivative of -n**6/300 - 66*n**5/25 - 4356*n**4/5 - 766656*n**3/5 + 4*n**2 + 30. Find g such that t(g) = 0.
-132
Let q(v) be the third derivative of 5*v**9/1512 - 23*v**8/840 - v**7/42 + 6*v**3 + 10*v**2. Let r(g) be the first derivative of q(g). Factor r(n).
2*n**3*(n - 5)*(5*n + 2)
Let y = -9 - -12. Let n be (-7)/(-3) + (-1 - 0/6). Factor -2/3*l**4 + 10/3*l**2 - n*l - 2*l**y + 2/3*l**5 + 0.
2*l*(l - 1)**3*(l + 2)/3
Find s, given that -26*s**4 + 275*s**2 + 5*s**5 - 5*s**3 - 1486 - 420*s - 1538 + 3204 - 9*s**4 = 0.
-3, 1, 2, 6
Let z(h) = 350*h**2 - 270*h - 10. Let m(r) be the third derivative of 13*r**5/20 - 5*r**4/4 - r**3/6 - 38*r**2. Let k(v) = -55*m(v) + 6*z(v). Factor k(x).
-5*(3*x - 1)**2
Let u(m) = m**5 - m**4 + 2*m**3 + m**2 - m - 1. Let o(l) = -9*l**5 + 11*l**4 - 18*l**3 - 8*l**2 + 8*l + 8. Let s(g) = 3*o(g) + 24*u(g). Factor s(v).
-3*v**3*(v - 2)*(v - 1)
Suppose 0 = 464*k - 374*k - 720. Factor k*b**2 - 11/2*b - 7/2*b**3 + 1.
-(b - 1)**2*(7*b - 2)/2
Let s(w) be the first derivative of 2/7*w**3 + 3 + 0*w + 1/7*w**2 - 1/14*w**4 - 6/35*w**5. Let s(p) = 0. What is p?
-1, -1/3, 0, 1
Let f be ((-714)/2380)/(-1 + (-6)/(-8)). Factor 3/5*x**2 - 9/5*x + f.
3*(x - 2)*(x - 1)/5
Let p = -121 + 122. Suppose -2*c = -0*w - 3*w - 13, -2*c - w + p = 0. Factor 2/7 + 6/7*r + 6/7*r**c + 2/7*r**3.
2*(r + 1)**3/7
Let b(p) be the second derivative of -p**5/80 + 3*p**4/32 + p**3/2 - 3*p**2/2 + 47*p. Let j(x) be the first derivative of b(x). Determine m so that j(m) = 0.
-1, 4
Factor -55*o**3 - 28*o**2 - 20*o**2 + 15*o - 17*o**2 + 25*o**4.
5*o*(o - 3)*(o + 1)*(5*o - 1)
Factor -350/3*f**2 + 0 - 2/3*f**4 + 58*f + 178/3*f**3.
-2*f*(f - 87)*(f - 1)**2/3
Let r(j) be the first derivative of 3/5*j**2 - 1/30*j**3 + 3 - 18/5*j. Factor r(o).
-(o - 6)**2/10
Factor -22 + 2*z**2 - 32 - 28 + 20 - 60*z.
2*(z - 31)*(z + 1)
Suppose -2*f - 72 = -4*n, -2*f = 3*f - 20. Let i be (0 + n)*15/25. Suppose 52 + 8*u - 52 + i*u**5 - 2*u**2 + 4*u**4 - 2*u**2 - 20*u**3 = 0. Calculate u.
-1, 0, 2/3, 1
Let n = 71072/15 + -4738. Factor 0*r**2 + 0*r + 0 + 0*r**3 + n*r**4 + 2/15*r**5.
2*r**4*(r + 1)/15
Determine a so that -2*a + a**2 + a - 7*a - 2 + 6*a - 13 = 0.
-3, 5
Let f = 100/1197 + 2/171. Let j(m) be the first derivative of -4/7*m - f*m**3 + 1/7*m**4 - 5/7*m**2 + 6. Factor j(w).
2*(w - 2)*(w + 1)*(2*w + 1)/7
Let w = -149413/7 + 21345. Factor -12/7*o + 0 + w*o**2.
2*o*(o - 6)/7
Suppose -33*l = 15*l - 240. Factor -3/11*k**4 - 1/11*k**l + 0*k - 2/11*k**3 + 0 + 0*k**2.
-k**3*(k + 1)*(k + 2)/11
Let 0 + 64/7*k - 4/7*k**2 = 0. Calculate k.
0, 16
Let j(r) = 3*r**2 - 16*r + 24. Let z(t) = -t**2 + 3*t. Let v(l) = -2*j(l) - 4*z(l). Let v(s) = 0. Calculate s.
4, 6
Let b(c) be the third derivative of -22*c**2 + 0 - 1/6*c**4 - 1/60*c**6 + 1/10*c**5 + 0*c + 0*c**3. Factor b(d).
-2*d*(d - 2)*(d - 1)
Let w(t) be the second derivative of -t**4/72 - t**3/9 - t**2/3 + 75*t. Suppose w(l) = 0. What is l?
-2
Let m be ((-422)/633)/(14/(-6)). Suppose -2/7 - m*j**2 + 5/7*j = 0. What is j?
1/2, 2
Let m(g) = -g**2 + 1. Let l(c) = -2*c**3 + 12*c**2 - 62*c + 52. Let n(d) = -2*l(d) + 20*m(d). Factor n(j).
4*(j - 7)*(j - 3)*(j - 1)
Suppose 6/5*j - 91/5 + 1/5*j**2 = 0. Wh
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{
"pile_set_name": "DM Mathematics"
}
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b - 20/21*r**3 + 2*r. Let a(d) = 0. What is d?
-2, -2/5, 1
Suppose 5*g + v = 176 - 53, 0 = 4*g + 4*v - 108. Solve -24*h**2 + g*h**2 + 2*h**4 + h**5 = 0.
-2, 0
Let y(s) = -85*s**2 + 320*s + 255. Let b(d) = 3*d**2 + d + 3. Let f(c) = -30*b(c) - y(c). Factor f(w).
-5*(w + 1)*(w + 69)
Determine p, given that 9*p - 46/5 + 1/5*p**2 = 0.
-46, 1
Let v(o) be the second derivative of -10/3*o**4 + 2/3*o**3 + 20/3*o**5 + 0 - 4*o - 1/15*o**2. Factor v(t).
2*(10*t - 1)**3/15
Solve -75 - 3/7*s**3 - 51/7*s**2 - 285/7*s = 0.
-7, -5
Let k(y) = y - 17. Let p be k(14). Let v be (p/(-6))/(2/(-64)*-4). Determine m, given that 2*m**2 - m - 3/2 - 1/2*m**v + m**3 = 0.
-1, 1, 3
Let -74*c + 57*c**2 - 173*c**2 + 50*c**2 + 56*c**2 - 28 = 0. What is c?
-7, -2/5
Let w(c) be the third derivative of c**7/945 - c**6/60 + c**5/10 - c**4/4 + 160*c**2. Determine k so that w(k) = 0.
0, 3
Suppose -3*d + 257 = 5*t, -4*t + 9*d - 4*d = -176. Suppose 60*w**4 - t*w**2 - 148*w**3 - w - 8 - 35*w - 24*w**3 + 205*w**2 = 0. Calculate w.
-2/15, 1
Let s(o) be the first derivative of -o**6/72 - 7*o**5/30 + o**4/48 + 7*o**3/18 - 75. Find u such that s(u) = 0.
-14, -1, 0, 1
Suppose -4*z = 4*o - 472, -4*o + 607 = -2*z + 147. Let q = o + -111. Suppose -1/3 + 1/3*s - 1/3*s**4 + 2/3*s**2 + 1/3*s**q - 2/3*s**3 = 0. Calculate s.
-1, 1
Let g(m) be the third derivative of -m**6/80 - m**5/5 - 7*m**4/16 + 4*m**2. Solve g(y) = 0.
-7, -1, 0
Let f(c) = -c**4 + 6*c**3 + 8*c**2 + 12*c - 16. Let t(z) = z**3 + 2*z. Let j(i) = -f(i) + 6*t(i). Let j(n) = 0. Calculate n.
-2, 2
Let l = -4 + 13. Let j = l - -37. Factor -32*f - 18*f**2 - 12*f**3 - 16 + j*f**2 + 16*f**2.
-4*(f - 2)**2*(3*f + 1)
Let s(a) = 3*a - 11. Let u be s(5). Find g, given that 32*g**2 + 0*g**3 - 8*g - 36*g**u + 12*g**3 - 8*g = 0.
-1, 0, 2/3
Let k(x) be the first derivative of x**4/4 + 8*x**3 + 72*x**2 - 296. Find o such that k(o) = 0.
-12, 0
Suppose 0 = -10*o - 3*o + 104. Suppose o = -x - x - 4*w, 0 = x - 5*w - 17. Factor -7/6*q**x - 5/6*q + 1/3.
-(q + 1)*(7*q - 2)/6
Find k such that -k**3 - 2*k**4 + 2*k**2 - 1/2*k**5 + 3/2*k + 0 = 0.
-3, -1, 0, 1
Let g be (3/1)/(7/189). Factor -54*y**2 - 178*y**4 + g - y**3 - 23*y**3 + 175*y**4.
-3*(y - 1)*(y + 3)**3
Let j(b) = 7*b**2 - 63*b + 186. Let l(d) = 155*d**2 - 1385*d + 4095. Let y(m) = 45*j(m) - 2*l(m). Find w, given that y(w) = 0.
4, 9
Let k(d) = -2*d**2 + 50*d - 4. Let t(g) = g + 1. Let v(p) = -k(p) - 4*t(p). Factor v(q).
2*q*(q - 27)
Factor -25/4*t**2 + 45/4 - 5/4*t**3 - 15/4*t.
-5*(t - 1)*(t + 3)**2/4
Let u(a) be the third derivative of 21/32*a**4 + 0*a + 17*a**2 + 3/4*a**5 + 0 + 5/32*a**6 + 1/4*a**3. Solve u(r) = 0 for r.
-2, -1/5
Let h = 61 - 58. Suppose -2*k + v - 5 = 2*v, -3*k - 15 = h*v. Factor -2/5*z**3 - 1/5*z**4 + 1/5 + k*z**2 + 2/5*z.
-(z - 1)*(z + 1)**3/5
Let p be ((-3)/(90/4))/((-60)/1675). Let s = p + 43/9. Let -s*z - 3 - 5/2*z**2 = 0. Calculate z.
-3, -2/5
Let 58*h - 10*h**3 + h**5 - 144 + 62*h - 3*h**4 + 47*h**2 - 11*h**3 + 0*h = 0. Calculate h.
-3, 1, 4
Let z(w) be the third derivative of w**5/20 - 7*w**4/8 - 15*w**3 - 3*w**2 - 32. Factor z(t).
3*(t - 10)*(t + 3)
Factor 0 - 164/7*n**2 + 2/7*n**3 + 162/7*n.
2*n*(n - 81)*(n - 1)/7
Let c = 43 + -39. Let u be c/40*(-225)/(-10). Solve 3/2*z + 0 + u*z**2 = 0 for z.
-2/3, 0
Factor -34/5 - 2/5*a**2 + 36/5*a.
-2*(a - 17)*(a - 1)/5
Let m be (-54)/(-1) + (-4 - 0). Let h = m + -48. Solve -19/3*a**3 + 2/3*a - 29*a**4 + 7/3*a**h + 0 - 21*a**5 = 0 for a.
-1, -1/3, 0, 2/7
Let c(u) be the second derivative of u**4/42 + 8*u**3/7 - 25*u**2/7 - 135*u. Let c(p) = 0. Calculate p.
-25, 1
Let n(x) be the first derivative of -x**3/18 + x**2/3 - x/2 - 78. Find w such that n(w) = 0.
1, 3
Let z(j) be the first derivative of j**5/10 + 11*j**4/8 + 5*j**3/3 + 109. Factor z(r).
r**2*(r + 1)*(r + 10)/2
Let t(j) be the third derivative of -j**7/945 + 2*j**6/45 - 44*j**5/135 - 56*j**4/9 - 784*j**3/27 - 15*j**2 + 3*j. Factor t(f).
-2*(f - 14)**2*(f + 2)**2/9
Let z = 301/1368 - 2/171. Let g(t) be the second derivative of -2/3*t**3 - 1/40*t**5 + 0 - z*t**4 - t**2 + 5*t. What is i in g(i) = 0?
-2, -1
Let a(q) be the first derivative of 11*q**3/15 + q**2/5 + 74. Factor a(b).
b*(11*b + 2)/5
Suppose -137 = 84*x - 401 - 744. Factor 3/4*d**2 - 6*d + x.
3*(d - 4)**2/4
Let k(j) be the second derivative of 8/3*j**3 + 6*j**2 + 0 - 2/15*j**6 - 4/5*j**5 - 15*j - 2/3*j**4. Determine w, given that k(w) = 0.
-3, -1, 1
Suppose 0 = 2*p - 4 - 0. Let j(r) = r**3 + 18*r**2 + 15*r - 30. Let z be j(-17). Factor 4*h**2 + z*h**2 - 10*h**p.
-2*h**2
Let p(b) be the third derivative of b**6/40 - 9*b**5/2 + 675*b**4/2 - 13500*b**3 + 233*b**2. Factor p(r).
3*(r - 30)**3
Let y(n) be the third derivative of 0*n**6 + 0*n**5 + 0*n + 1/560*n**7 + 0*n**4 + 0 + 3*n**2 + 0*n**3. Find m, given that y(m) = 0.
0
Let l be 1664*(3 + 1 + -3) + 0. Suppose 1662*s**2 - 8 - l*s**2 - 16*s + 26 = 0. Calculate s.
-9, 1
Let s be ((-7)/((-49)/21) + -6)/(18/(-12)). Factor 2*z**s - 3 - 1/2*z - 1/2*z**3.
-(z - 3)*(z - 2)*(z + 1)/2
Let u(o) be the second derivative of 27*o + 5/3*o**3 - 1/6*o**4 + 0 + 0*o**2. What is v in u(v) = 0?
0, 5
Let n(z) be the third derivative of -z**6/80 - z**5/40 + 3*z**4/8 + 2*z**2 - z. Solve n(w) = 0 for w.
-3, 0, 2
Suppose x - 6*x + 75 = 0. Let n be ((-2)/((-6)/x))/1. Factor -25*c**5 + 13*c**5 + 11*c**n + 4*c**4 + c - 2*c**4 - 2*c**2.
-c*(c - 1)**3*(c + 1)
Let s(a) be the second derivative of -a**5/15 - 86*a**4/9 - 341*a**3/18 - 85*a**2/6 - 65*a. Factor s(g).
-(g + 85)*(2*g + 1)**2/3
Let u(k) = -k**3 - 6*k**2 + k - 17. Let g be u(-7). Let w = -11 + g. Factor 4*n**4 - 13*n**2 + 44*n**2 + 28*n**3 + 32 + 27*n**2 + 80*n + w*n**2.
4*(n + 1)*(n + 2)**3
Let y = -140 - -703/5. Let w(o) be the second derivative of 0*o**6 - 1/14*o**7 + 0 - 3/2*o**3 - 5*o + y*o**5 + 3*o**2 - 1/2*o**4. Let w(l) = 0. Calculate l.
-2, -1, 1
Let d(t) be the second derivative of 2*t + 0*t**2 + 0*t**4 - 1/8*t**3 + 0 + 3/80*t**5. Solve d(s) = 0.
-1, 0, 1
Let r = 45 - 43. Factor a**4 - 466*a**3 - r*a**4 + 465*a**3 + a**2 + a.
-a*(a - 1)*(a + 1)**2
Let j(d) be the second derivative of 27/10*d**4 + 3/10*d**2 + 0 + 9*d + 6/5*d**3 + 21/10*d**6 + 84/25*d**5 + 18/35*d**7. Solve j(s) = 0.
-1, -1/3, -1/4
Suppose 13 - 40 = -69*i + 111. Let t be (-1)/(-1 - (-2)/4). Find w, given that 0 - 2/3*w + i*w**t + 8/3*w**3 = 0.
-1, 0, 1/4
Let g be (2/3)/(6/27). Let r(u) be the first derivative of -2/9*u**g + 0*u + 2 + 0*u**2 + 1/12*u**4. Factor r(x).
x**2*(x - 2)/3
Let g(n) = -n**2 - 2134*n - 222609. Let z(a) = 2140*a + 222610. Let h(b) = -5*g(b) - 4*z(b). Determine q so that h(q) = 0.
-211
Suppose 6*u - 23 = -5. Solve 3*b**u - b**3 - 2*b**3 + 10*b + 8*b**2 - 2*b**3 = 0.
-1, 0, 5
Let g(w) = -w**3 - 63*w**2 - 835*w + 21. Let u be g(-19). Factor -7/6 + k + 1/6*k**u.
(k - 1)*(k + 7)/6
Factor -48/7*b + 4/7*b**2 - 2/7*b**4 + 10/7*b**3 + 0.
-2*b*(b - 4)*(b - 3)*(b + 2)/7
Let t = -6 - -8. Suppose 2*q - 2*z - t = -3*z, -5*z = -2*q + 26. Determine f, given that -21*f + 234*f**3 + 3*f**4 + 1 + 27*f**2 + 5 - 249*f**q = 0.
1, 2
Let r(b) be the third derivative of 2 + 10*b**2 + 1/540*b**5 + 2/27*b**3 - 1/54*b**4 + 0*b. Determine a, given that r(a) = 0.
2
Let o(s) be the second derivative of -s**6/210 - 9*s**5/140 - 2*s**4/21 + 42*s. What is h in o(h) = 0?
-8, -1, 0
Let n be (-4 - 0) + (155/(-15))/(49/(-21)). Suppose -648/7*f + 39/7*f**4 - 201/7*f**3 + 324/7 - n*f**5 + 513/7*f**2 = 0. What is f?
2, 3
Let n be (4 - 412/(-8)) + 2/(-4). Factor 6*j**2 + 0*j - 57*j**4 + n*j**4 + 4*j.
-2*j*(j - 2)*(j + 1)**2
Suppose 10*f = -3*f + 78. Let g(o) be the third derivative of -1/30*o**f + 0*o + 0 + 5/42*o**5 + 0*o**3 - 4*o**2 - 1/14*o**4. Factor g(b).
-2*b*(2*b - 3)*(7*b - 2)/7
Let i be (-27)/15 + (-1)/5. Let o be (i/(-4))/(3/60). Let -5 - 3 + 0*u - 18*u**2 - o*u - 4*u**3 - 14*u = 0. What is u?
-2, -1/2
Let f(i) = 4*i**3 - 10*i**2 - 2*i + 6. Let a = 45 - 81. Let t = a + 31. Let u(m) = -4*m**3 + 9*m**2 + 3*m - 5. Let b(g) = t*f(g) - 6*u(g). Factor b(o).
4*o*(o - 2)*(o + 1)
Let w(r) be the first derivative of r**6/1800 - r**5/150 + r**4/30 + r**3/3 - 15. Let s(y) be the third derivative of w(y). Find n, given that s(n) = 0.
2
Let o = -1886/255 + 128/17. Determine h, given that -2/15*h - 2/15 + o*h**2 + 2/15*h**3 = 0.
-1, 1
Let p = -13 + 15. Solve 8 + 1 - p*a**2 - 5 + 2*a = 0.
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{
"pile_set_name": "DM Mathematics"
}
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4
Suppose 3*a + 6 = 3. Let j = a - -56. Calculate the remainder when j is divided by 19.
17
Suppose 3*n - 2 - 7 = 0. Let h(c) = -3*c - 4. Let m be h(3). Let y = -3 - m. What is the remainder when y is divided by n?
1
Let a = -6 - -8. Suppose 3*x + a = 8. Suppose x*o - 99 = -o. Calculate the remainder when o is divided by 17.
16
Let n = -25 - -24. Let l(s) be the second derivative of -2*s**5/5 + s**3/6 - s. Calculate the remainder when l(n) is divided by 2.
1
Let y = 5 + -8. What is the remainder when -1*(y + 4 - 32) is divided by 11?
9
Suppose -2 - 1 = -3*w. Suppose -4*x + w = 3*k - 14, -x = 4*k - 33. Let c(g) = -g**3 - 6*g**2 + 6*g + 10. What is the remainder when c(-7) is divided by k?
8
Suppose 2*n - 54 = -2*u, n + 2*n - 75 = -u. What is the remainder when 91 is divided by n?
19
Let p = -124 - -143. What is the remainder when p is divided by 3?
1
Suppose -12*y = -5*y - 154. Calculate the remainder when 42 is divided by y.
20
Let x = 13 + -8. Let r = 205 - 196. Calculate the remainder when 2/x + 156/10 is divided by r.
7
Suppose -p + 7 = -2*y - 2*y, 6 = p - 3*y. Let o = 4 + p. Calculate the remainder when 11 is divided by o.
4
Let j(u) = -u**3 - u**2 + u + 63. What is the remainder when j(0) is divided by 13?
11
Let d be -4*((-28)/8 - -1). Let a(b) = b**3 - 11*b**2 + 11*b + 1. What is the remainder when 43 is divided by a(d)?
10
Suppose -2*g = 2*g - 5*z - 45, -z = 3*g - 10. What is the remainder when 17 is divided by g?
2
Suppose -10 = 3*c - 4*c. Calculate the remainder when 18 is divided by 5/(c/(-4)) - -12.
8
Suppose o + 3*o - 336 = -4*s, 0 = 2*s + 5*o - 153. Calculate the remainder when s is divided by 6.
5
Let z = -34 + 50. Calculate the remainder when 30 is divided by z.
14
Let x = -8 - -24. Suppose u = -0*u + 3*l - 9, 5*u - 40 = -2*l. Calculate the remainder when x is divided by u.
4
Let l = -2 - -6. Suppose p = l*u + 37, 22 = p - 5*u - 15. Calculate the remainder when p is divided by 20.
17
Let v(r) = r + 14. Suppose q + 0*x = -4*x - 20, q = 2*x + 10. Suppose 0 = 3*g - 10 - 5. What is the remainder when v(q) is divided by g?
4
Suppose -24 = 3*d - 11*d. Calculate the remainder when d is divided by 1.
0
Let f be (188/8)/((-1)/(-2)). Suppose l - f = -9. Calculate the remainder when l is divided by 10.
8
Let m(y) = -y + 2. Let t be m(0). Suppose -3*w = t*w - 55. What is the remainder when 19 is divided by w?
8
Suppose -10*u + 107 + 63 = 0. Calculate the remainder when 48 is divided by u.
14
Suppose 3*a - 28 = a. Calculate the remainder when a is divided by 8.
6
Let v = -15 - -17. What is the remainder when 4 is divided by v?
0
Let d(r) = -7 - 3 - 4*r + 4. Let n = -5 - -17. What is the remainder when d(-7) is divided by n?
10
Suppose v + 4*a + 9 = 0, 3*v + 0*v - 2*a = -97. Let d = 42 + v. Calculate the remainder when 23 is divided by d.
10
Let d(z) = 3*z**2 + 2*z + 5. What is the remainder when d(-4) is divided by (24/15 + -2)*-30?
9
Let k(i) = 3*i + 4. Let x be k(4). Let g be (-2)/(-1 + 2) - 34. Let a = x - g. What is the remainder when a is divided by 18?
16
Suppose 0 = z - 13. Let a(j) = j**2 - j + 2. What is the remainder when z is divided by a(3)?
5
What is the remainder when (2/(-2) + 1 - -224) + -1 is divided by 25?
23
Suppose 4*q + 10 = 9*q. Suppose l + 5*r = 0, 0 = -l + 4*l - 3*r. Let k = l + q. What is the remainder when 3 is divided by k?
1
Let r = 12 - 9. Suppose -3*j - r*j = -156. Calculate the remainder when j is divided by 7.
5
Let h = 0 - -23. Let a(j) = 0*j + j - 3*j. What is the remainder when h is divided by a(-6)?
11
Let m = 31 + 2. Let y = -51 + 29. Let n = y + m. What is the remainder when 32 is divided by n?
10
Suppose 0*t - 712 = -4*t. Suppose 0 = 5*c + t - 33. Let j = c - -62. Calculate the remainder when j is divided by 17.
16
Suppose -24 = -2*i + 2*x, 3*x + 6 = x. Suppose l + 5*z + 10 = -5, 3*l = z + 19. What is the remainder when i is divided by l?
4
Suppose 4*n + 2 = 14. Suppose -5*t + 8*z - n*z = -260, -3*t + 176 = 2*z. Let u = -48 + 67. What is the remainder when t is divided by u?
18
Let o(a) = a - 1. Let q be o(6). Suppose -47 = -2*n - q*w, -3*n - 3*w + 2*w = -64. What is the remainder when 82 is divided by n?
19
Suppose 3*z - 10 = 5*z. Let j(a) = -a**3 - 3*a**2 - a - 3. What is the remainder when j(z) is divided by 18?
16
Let k(x) = -x - 9. Let v be k(-13). Suppose 7*t - v*t = 126. Calculate the remainder when t is divided by 11.
9
Let w(x) = x**2 - 7. Let n be w(-3). Suppose -5*a - 4 - 18 = g, -a - 5*g = 14. What is the remainder when 3 is divided by (-2)/4*a/n?
0
Suppose 2 + 6 = -x. Let c(v) = -2*v - 12. Suppose 0 = 4*w + 4 - 44. Calculate the remainder when w is divided by c(x).
2
Suppose -3*s = -0*s - 33. Let h = s + -6. What is the remainder when 9 is divided by h?
4
Suppose 4*m + 2*t - 1 = -3, -3*m - 3*t = 6. What is the remainder when 4 is divided by m?
0
Suppose -50 = 3*l + 10. Let w = 45 + l. What is the remainder when 21 is divided by 62/5 + (-10)/w?
9
Let d be (-41)/6 - 3/18. Let z = 26 + d. Let y = -30 - -86. Calculate the remainder when y is divided by z.
18
What is the remainder when 50 is divided by -1*(-1 + 4) - -21?
14
Let g = -18 + 33. Calculate the remainder when 74 is divided by g.
14
Let u be (-2)/4*0/5. What is the remainder when 20 + (u - 3 - 0) is divided by 9?
8
Let z = 0 + 0. Let l(q) = q**2 - 8*q + 8. Calculate the remainder when l(11) is divided by (-1 - -15) + z/1.
13
Let f = 63 - 53. Calculate the remainder when 26 is divided by f.
6
Let v(d) = d**3 + 7*d**2. Calculate the remainder when v(-5) is divided by 13.
11
Let n(s) = s**3 + 13*s**2 - 2*s - 22. What is the remainder when n(-13) is divided by 2?
0
Let y(o) = 4*o - 3. Let d(h) = h**2 + 5*h + 4. Let x be d(-6). Suppose -26 + x = -g. Calculate the remainder when g is divided by y(3).
7
Let j = 18 + -1. Suppose 2*k + 0*k - 96 = 0. What is the remainder when k is divided by j?
14
Suppose k + 4 = 2*k. Suppose -2*c + 2 = -k*x + 3*c, 4*x = 4*c. Calculate the remainder when x is divided by 8/12 - 0 - 1/(-3).
0
Let f(v) = 7*v**2 - 4*v + 3. Let g = 7 - 5. Let q be f(g). Suppose -q = -p - 0. What is the remainder when p is divided by 8?
7
Let w(u) = -u**3 - 5*u**2 + 8*u + 2. Let f be w(-6). Let z = 1 - f. Let a = 38 + -19. Calculate the remainder when a is divided by z.
8
Let x(l) = -2*l - 10. Let r be x(-5). Suppose r = 2*u + 3*u - 60. Calculate the remainder when 22 is divided by u.
10
Let z be 5/((-21)/(-10) + -2). Let c = z + -26. Calculate the remainder when 71 is divided by c.
23
Suppose 2*n + 90 = 5*p + 6*n, p - 18 = 2*n. Suppose f + 0*s - s + 35 = 0, 4*f + 128 = s. Let b = f - -65. Calculate the remainder when b is divided by p.
16
Suppose 127*s - 209 = 126*s. Calculate the remainder when s is divided by 53.
50
Suppose 4*t = -3*b + 11, 6 = -3*t + 3. Let l(y) = y**2 + 5*y + 7. Calculate the remainder when l(-6) is divided by b.
3
Let j = -24 + 16. Let p = 3 - -2. What is the remainder when p is divided by j/6*9/(-6)?
1
Suppose 33 = 7*d - 4*d. What is the remainder when 41 is divided by d?
8
Suppose -2*i + i + 4 = 0. Suppose 0 = -i*k + 131 - 15. Calculate the remainder when k is divided by 10.
9
Let z = -53 + 75. Let o(m) = -26*m**2 - m + 1. Let r be o(1). Let v = r + 34. Calculate the remainder when z is divided by v.
6
Let t(h) = -h**3 + 6*h**2 - 3*h + 5. What is the remainder when t(4) is divided by 7?
4
Suppose 13*i - 15*i + 24 = 0. Calculate the remainder when i is divided by 5.
2
Let d = -19 - -31. Calculate the remainder when 47 is divided by d.
11
Let n(r) = r**3 + 17*r**2 - 2*r - 25. What is the remainder when 2 - 5/((-10)/64) is divided by n(-17)?
7
Suppose 10 = -2*r, -2*r = -2*z - 0*r + 56. Let w(f) = f**3 + 8*f**2 - 2*f - 8. Calculate the remainder when z is divided by w(-8).
7
Let u(s) = -s + 7. What is the remainder when 54 is divided by u(-4)?
10
Let p(f) = -f**2 - 10*f - 3. What is the remainder when 21 is divided by p(-9)?
3
Let n(f) = 7*f + 13. What is the remainder when n(7) is divided by 16?
14
Let a = -21 - -60. Suppose 4*g = a - 11. Suppose -y = q - 18, 0 = 4*y + 5 + g. What is the remainder when 41 is divided by q?
20
Suppose 0 = 4*k + 2*v - 49 - 3, 4*k + 4*v = 60. What is the remainder when 83 is divided by k?
6
Suppose -4 = -5*l + 4*s, -2*s + 6 = -2. What is the remainder when 15 is divided by l?
|
{
"pile_set_name": "DM Mathematics"
}
|
204)*-1 + sqrt(204) - sqrt(204) - sqrt(204))*6 + sqrt(204) - 2*sqrt(204)*4)/(sqrt(12) - (2*sqrt(96))/sqrt(8) - -1*sqrt(300)).
-19*sqrt(17)/4 + 5
Simplify (((sqrt(2299) + sqrt(2299) + 0 + sqrt(2299))*-1 + -4 + -5 + ((sqrt(2299) + -1)*-6 - (sqrt(2299) - (-1 + sqrt(2299) + -4)))*-4)*-5)**2.
-150150*sqrt(19) + 25350700
Simplify (sqrt(2299) - sqrt(2299)*1)**2 + -3 + sqrt(2299)*1*-4 + ((sqrt(2299) - (sqrt(2299) + 0))*-5 + 4)**2 + 4.
-44*sqrt(19) + 17
Simplify (sqrt(176) + sqrt(176) + -2 + -5 + (sqrt(176) - (3*sqrt(176)*6 + sqrt(176))))**2 - 6*6*(5*(1 + sqrt(11)) + sqrt(11)).
680*sqrt(11) + 44925
Simplify (-5 + -6*(-4 + 2 + sqrt(112) + 1 + sqrt(112) - (4*(0 + sqrt(112) + sqrt(112)) - (sqrt(112) + (4 + sqrt(112) + 1 - sqrt(112)) + sqrt(112)))))**2.
-5568*sqrt(7) + 65353
Simplify ((-1 + (sqrt(112)/sqrt(2)*1)/(3*sqrt(128)) + 2)*5)**2.
25*sqrt(7)/6 + 3775/144
Simplify (-1*(4 + (1*(sqrt(2736) + 0) - (sqrt(2736) + (2 + sqrt(2736) + sqrt(2736))*3 + sqrt(2736)))))**2*2*-1.
-268136 - 672*sqrt(19)
Simplify ((-4 + 1 + sqrt(1700) + sqrt(1700) + sqrt(1700) - (sqrt(1700) + 1)*-5) + (3*-3*sqrt(1700) - (sqrt(1700)*-3 + 5)))**2.
-120*sqrt(17) + 6809
Simplify -4*((2*(sqrt(891)*-1 + -5 - 5*-1*sqrt(891)))**2 + -5).
-228476 + 5760*sqrt(11)
Simplify (sqrt(54)/(sqrt(24) + sqrt(6)))/(sqrt(3) + sqrt(243)*-1) + -2*2*((sqrt(3) + -1)**2 + 1).
-20 + 191*sqrt(3)/24
Simplify (0 + 3 + (sqrt(108) - (1 + sqrt(108))) + 1 + 0 + -2)**2 + 5 + 4.
10
Simplify -5*3*(1 + -1 + sqrt(200))**2 - (3 + (sqrt(264)/(sqrt(11) - sqrt(11)*2))/(sqrt(12) - (sqrt(12) - sqrt(108)*3))).
-3003 + sqrt(2)/9
Simplify ((-4 + 0 + (1 + sqrt(539) - sqrt(539)) + 0 + 6*(-2 + 2*sqrt(539) - (-1 + sqrt(539))*-3))*5)**2.
-346500*sqrt(11) + 12154725
Simplify ((-4 + 3*2*-5*(-1 + sqrt(200) + -1)*4)*-2)**2.
-2265600*sqrt(2) + 11742784
Simplify -5 + (-1*(sqrt(76) - (sqrt(76) - (0 + sqrt(76))) - sqrt(76))**2 + 5 + (2 + -2*sqrt(76) - ((sqrt(76) + (-1 + sqrt(76) - sqrt(76)))*4 + sqrt(76))))*-5.
-60 + 70*sqrt(19)
Simplify 0 + (-6*(sqrt(637) + -2 - sqrt(637))**2 + (-3 + sqrt(637) + sqrt(637) + 1)**2)*5*1*-6.
-75840 + 1680*sqrt(13)
Simplify (1*(5 + 5 + (sqrt(19)*1*-1 - sqrt(19))) - -2*(3*2*sqrt(19) + sqrt(19) + sqrt(931) + (sqrt(931) - 2*sqrt(931)) + sqrt(931))*1)**2.
520*sqrt(19) + 12944
Simplify ((sqrt(275) + -5 + -1*sqrt(275))**2*2 + (4*sqrt(275)*1*2)**2)*-2 + -4.
-35304
Simplify (2*sqrt(500) + 0 - (sqrt(5) + sqrt(55)/(sqrt(33)/sqrt(3)) + -2)) + sqrt(30)/((sqrt(72)/sqrt(6))/sqrt(2) + sqrt(6)) + 1 + 0.
3 + 37*sqrt(5)/2
Simplify ((sqrt(144)*1 + sqrt(36) + sqrt(36) - (sqrt(5184) + (-2*sqrt(5184) - sqrt(5184))))*4)/(sqrt(768) + (sqrt(768) - 2*sqrt(768)*-6) - -2*sqrt(768)*1).
7*sqrt(3)/8
Simplify (sqrt(504) + 1*sqrt(504))/(2*sqrt(847) + sqrt(847) + sqrt(847)) + (1 + 3*2*-3*sqrt(162))**2.
-3561*sqrt(2)/11 + 52489
Simplify ((-3 + sqrt(125) + (0 + sqrt(125) - sqrt(125)))*-3 + 5 - (-1*sqrt(125) + -2 + (sqrt(125) + -1 + sqrt(125) - sqrt(125))*4 + 4))**2.
-960*sqrt(5) + 4756
Simplify (3*sqrt(80)*2 + sqrt(80) + sqrt(80) - sqrt(80)*-2*-1)**2 - 1*(5 + sqrt(80) + 1*sqrt(80) + -2*(sqrt(80) + 1))**2.
2871
Simplify 3 + (5*(-1 + -1*sqrt(75)) - (sqrt(75)*-1 + 0)*6)**2 + 3.
-50*sqrt(3) + 106
Simplify (sqrt(196) + sqrt(196) + sqrt(196)*1 - (sqrt(4) + sqrt(12)/(-1*sqrt(3) - sqrt(3))))/(sqrt(32) - sqrt(128)/sqrt(4) - sqrt(8))*1.
-41*sqrt(2)/4
Simplify (0 + -1*1*sqrt(242)*-2 + (1 + sqrt(242) - sqrt(242)) + -2 + sqrt(242) + -2 + -4)**2.
-462*sqrt(2) + 2227
Simplify (-1 + sqrt(833)*2 + -1*-3*sqrt(833) + -6*sqrt(833)*-1*5*-6)**2*-5.
-127553130 - 12250*sqrt(17)
Simplify (sqrt(209) + 1*sqrt(209)*-5 - (-6*(sqrt(209) + (sqrt(209)*-3 - sqrt(209))) - sqrt(209)))/(-1*sqrt(704)*2 - -2*sqrt(704)*-1) + -3.
-3 + 21*sqrt(19)/32
Simplify (((1*sqrt(6480))/(1*sqrt(9)*2) + -5*sqrt(315)/(sqrt(7)*-2 - sqrt(7)))**2 + 5)*1.
610
Simplify (((sqrt(17) + 1)*1)**2*2 - (0 + ((1*sqrt(833))**2 - sqrt(833)))) + ((1*sqrt(119) - sqrt(119))*-2)/(sqrt(42)/sqrt(6)*-4).
-797 + 11*sqrt(17)
Simplify (-6*((sqrt(408) + sqrt(408) + 2*sqrt(408) + sqrt(408))*-3 + sqrt(408))/((1*sqrt(64) + sqrt(64))/sqrt(8)))/(6*sqrt(300)*2*3*-5).
-7*sqrt(17)/300
Simplify ((3 + sqrt(1573) + -1 + 2 + 2*sqrt(1573) + sqrt(1573) + 3 - (2 + 3*-3*sqrt(1573))*-2) + 1)**2.
-3696*sqrt(13) + 308452
Simplify 3*(sqrt(22) - -1*(sqrt(22) + sqrt(88)))/sqrt(11) + (sqrt(40)/(sqrt(6)/sqrt(3) + sqrt(2) - sqrt(2)) - sqrt(20))/(-2*sqrt(10)*-3).
12*sqrt(2)
Simplify 0 + ((5*(sqrt(429) + -2*sqrt(429)))/sqrt(11))/(sqrt(192)/sqrt(4) + 4*sqrt(3)*2)*6.
-5*sqrt(13)/2
Simplify (((sqrt(72) + 1 + 3)**2 + 4 + -1 + sqrt(72) - ((6*(sqrt(72) - -1*sqrt(72)))**2 - (1 + 2*sqrt(72)))) + -1)*2.
-20554 + 132*sqrt(2)
Simplify (sqrt(66)/(sqrt(20)/sqrt(10)*-3))/(1*sqrt(270)/sqrt(10)).
-sqrt(11)/9
Simplify (-3 + -6*((-4*sqrt(156)*6 + sqrt(156))/sqrt(12) - ((sqrt(117) + 0)**2 + 5)))*1.
138*sqrt(13) + 729
Simplify (0 + sqrt(45)/(sqrt(9) - (sqrt(9)*-2 + sqrt(9))) + -2*sqrt(125) + sqrt(10)/(2*sqrt(2) - sqrt(2)) + -4 + sqrt(30)/sqrt(6))*-3.
12 + 45*sqrt(5)/2
Simplify (((sqrt(102) - -1*sqrt(102) - sqrt(102)) + sqrt(102))/sqrt(3) - sqrt(4896)*-5)/(((sqrt(250) - sqrt(250)*1)/sqrt(5) + sqrt(50))*-1).
-62*sqrt(17)/5
Simplify (-6*-3*4*(sqrt(110) + -1*sqrt(110)))/(-1*sqrt(810) - ((sqrt(60) - sqrt(60)*-1)/sqrt(6) + sqrt(10))) + 1.
1
Simplify 6*6*4*sqrt(160)/sqrt(2)*-3.
-1728*sqrt(5)
Simplify (sqrt(612) + -3)**2 - ((sqrt(408)/sqrt(8))/sqrt(3))**2 - 6*(sqrt(1700) + 1 + -4 + sqrt(1700))**2.
-40250 + 684*sqrt(17)
Simplify (2*((-1 + -1*sqrt(300) - sqrt(300) - (sqrt(300) - ((1*sqrt(300) - sqrt(300) - sqrt(300)) + 2))) + 5 + -3)*-4)**2.
-15360*sqrt(3) + 307776
Simplify (sqrt(140)/(2*-1*sqrt(10)))/(sqrt(242)*2 + sqrt(242) - sqrt(242) - (-1*sqrt(72) + sqrt(2))) + 1.
-sqrt(7)/54 + 1
Simplify (-3*(1 + (1*(sqrt(117) - (-1*sqrt(117) + sqrt(117))) - sqrt(117))/(sqrt(36)*6) + 2)*3)**2.
729
Simplify ((((sqrt(117) + -2)*5 + 5 - ((sqrt(117) + 0)*-5 - (-1 + sqrt(117) + sqrt(117) + 0))) + -1)*-4 + -4)**2.
-6912*sqrt(13) + 270144
Simplify (-3*(sqrt(180) + sqrt(20)) + sqrt(20) + sqrt(20) - (sqrt(20) + (sqrt(1280) - -2*sqrt(1280))))/(sqrt(288)/(sqrt(64)/sqrt(2) + sqrt(8) + sqrt(8))).
-140*sqrt(5)/3
Simplify ((-2*-1*sqrt(16)/sqrt(2) + 5 + 3*(sqrt(200) - (sqrt(200) + -1)))*-5)**2.
1600*sqrt(2) + 2400
Simplify ((1 + sqrt(396) - (1*sqrt(44))/sqrt(4) - (sqrt(704)*1)**2*-4) + 3)*3.
15*sqrt(11) + 8460
Simplify (sqrt(130)*3)/sqrt(10)*2 + (((sqrt(143) + -5*sqrt(143))*6)/sqrt(11))**2 + 2 + 1.
6*sqrt(13) + 7491
Simplify (-2*sqrt(15)*-2 + sqrt(2160) + sqrt(2160)*-1 - -1*sqrt(135)*1)/(-6*-3*(sqrt(5) - sqrt(20)/sqrt(4)) - (sqrt(15)*-2*2)/sqrt(3)).
7*sqrt(3)/4
Simplify (sqrt(180)/(2*sqrt(3) + sqrt(3)) - sqrt(660)/(sqrt(11)*-2))/(sqrt(24)/sqrt(2)*5 - -2*sqrt(1728)).
5*sqrt(5)/174
Simplify (((sqrt(55) - (sqrt(55) + sqrt(1375))*-5) + 5*sqrt(55)*-2)/(-2*sqrt(539) + -2*sqrt(275)))**2 + 5.
565/64
Simplify (-1*sqrt(1188) - sqrt(33))/(sqrt(300)*-2) + (sqrt(11) - (sqrt(1331) + sqrt(1331) + -1) - 1*(sqrt(44) - sqrt(11))**2).
-413*sqrt(11)/20 - 10
Simplify ((-4*1*sqrt(99)*5*-3)/(-3*sqrt(729) + sqrt(225)*-5) + 3)**2.
-90*sqrt(11)/13 + 3996/169
Simplify -3 + ((1*sqrt(300)*-1 - sqrt(36)/((sqrt(84) + sqrt(84) + (-2*sqrt(84) - sqrt(84)))/sqrt(7))) + -4)**2 + -5.
72*sqrt(3) + 251
Simplify (1*3*sqrt(119)*2*-3)/(sqrt(252)*1 + sqrt(847)*3).
-6*sqrt(17)/13
Simplify ((sqrt(81) - -2*sqrt(81)*-3) + sqrt(81) + (sqrt(81) - (sqrt(81) - (sqrt(81) + sqrt(81) + sqrt(81)*-1*-5))))/((sqrt(3) + sqrt(3)*2)*4 + 2*sqrt(48)).
9*sqrt(3)/20
Simplify ((-3*sqrt(209)*5 - sqrt(209)*3*3)/(3*-3*(sqrt(11) + sqrt(1100) - sqrt(11))))**2.
304/225
Simplify 2 + sqrt(12) + -3*sqrt(12) + 1 - (sqrt(18)/(4*sqrt(6)) + 5 + sqrt(75)).
-37*sqrt(3)/4 - 2
Simplify (sqrt(252)*-1*-4)/sqrt(9) + (sqrt(77) + (sqrt(77) + sqrt(77) + 3*(sqrt(77) - 2*sqrt(77)) - sqrt(77)))/(sqrt(77)/(sqrt(28)/sqrt(4))).
7*sqrt(7)
Simplify (sqrt(539) - sqrt(539)*3)**2 + 4 - 5*(sqrt(539) + 2*sqrt(539))**2 - (1 + (sqrt(44)*-2)**2 + (sqrt(77)*-1)/sqrt(7) + -5).
-22267 + sqrt(11)
Simplify -1*((sqrt(128) + sqrt(128)*1)**2*-6 - ((sqrt(98) + 1)**2 - sqrt(98) - (1 + sqrt(288))))*4 + -1.
-20*sqrt(2) + 12679
Simplify (2 + (-3*sqrt(833) + 4 - sqrt(833) - (-2 + (sqrt(833) + -2)**2)) + 2)*2 + -4.
-1658
Simplify ((((sqrt(2106) + -1*sqrt(2106))*-4 - (2*sqrt(2106)*-2 - sqrt(2106)))*-6)/(-4*sqrt(242)*1 - ((s
|
{
"pile_set_name": "DM Mathematics"
}
|
*h - 5*f + 655 = 0, 5*h = -3*f - 379 + 1040. Let r = h + u. Is r prime?
True
Suppose 0 = a + 4*a + 15. Is 27/6*(-34)/a composite?
True
Suppose 10 = 3*l - 4*a - 1, 4*l + 2*a = 0. Let f(x) = 2*x**3 - 6*x**2 + 2*x - 3. Let t be f(4). Let k = l + t. Is k prime?
False
Let a be (32/(-40))/((-4)/50). Suppose 0 = 15*g - a*g - 485. Is g a prime number?
True
Let p(c) = 6*c**3 + c**2 + c - 1. Is p(1) a prime number?
True
Suppose s = -0*s + 1. Is (s - 2) + 1 - -55 prime?
False
Suppose 0 = -j - 2*j + 57. Let a be -1*(1 - 2*j). Let l = -16 + a. Is l prime?
False
Suppose -2*i - 50 + 288 = 0. Is i composite?
True
Suppose -6*q + 3*q = -183. Suppose 2*d - q = -2*x + 3*d, 0 = 5*d - 5. Is x a prime number?
True
Let p = 14 - -9. Let u = p + -12. Is u a prime number?
True
Let s be 2/(2/4 - 0). Suppose -p - s*p + 265 = 0. Is p prime?
True
Suppose -2*u - 322 = -4*f, f - 3*f = 5*u - 167. Let m = f + -128. Let x = m - -82. Is x a composite number?
True
Let c(k) = k**3 + 5*k**2 + k + 10. Let o be ((-55)/22)/(1/(-2)). Is c(o) a composite number?
True
Let v = 11 + -5. Suppose 2*u = -3*k + 853, -v*k - 15 = -k. Is u prime?
True
Let h = -48 - -85. Is h prime?
True
Let t = 0 - -2. Suppose 34 = t*i - 0*i. Is 1*(-15)/(-3)*i prime?
False
Let h be (-192)/(-9)*(-9)/(-4). Suppose 5*a = 47 + h. Is a prime?
True
Let d(r) = 17*r**3 - 7*r**2 + 4*r - 6. Let c be d(5). Suppose 4*v - 2*m - c = 2*m, -3*m = v - 475. Is v composite?
False
Suppose 0 = h + 4*h - 45. Suppose -5*j - 1780 = -h*j. Is j prime?
False
Let z(i) = 4*i - 1. Let p be z(-5). Let t = p - -52. Is t prime?
True
Suppose 0*j + 4*j = -220. Let d be 31/11 - 10/j. Suppose -d*o + 59 = 2*h - 0*o, 0 = -4*o - 20. Is h composite?
False
Let h(f) = -f**3 + 13*f**2 + 16*f + 8. Let o(p) = p**3 - 14*p**2 - 17*p - 9. Let d(a) = 6*h(a) + 5*o(a). Is d(8) a composite number?
True
Let f(q) = 0 + 21*q - q - 4 - 2. Let j be f(6). Is (-1)/(-1 + j/117) prime?
False
Suppose -2*f + 7 = -3. Suppose -5*u - 171 = -3*a + f*a, a = -2*u - 69. Let s = 66 + u. Is s a prime number?
False
Suppose 0 = -5*c - 4*u + 1985 - 326, -662 = -2*c - 2*u. Let a = -238 + c. Is a prime?
True
Let j be (-2 - -3) + -1 + -1. Let n = j - 2. Let s = 6 + n. Is s prime?
True
Let c = -241 + 342. Let w = -12 + c. Is w a composite number?
False
Let y be 6/14 - 570/105. Let p(d) = -d**3 + 6*d**2 + d - 8. Let l be p(6). Is (-6 - y) + (-316)/l prime?
True
Suppose -2*x - g = -0*x - 395, -g + 594 = 3*x. Is x a composite number?
False
Suppose 0 = -5*l - k - 16098, -9651 = 3*l - 5*k + 3*k. Let s = l + 1625. Is s/(-6) + 6/(-9) a composite number?
True
Let o(c) = -c**3 + 10*c**2 - 8*c + 2. Let a = -5 - -5. Suppose a = -f - f + 18. Is o(f) a composite number?
False
Let h = -7 + 8. Is h*215 + (-12 - -8) composite?
False
Let h = -1762 + 3015. Is h a prime number?
False
Let n(t) = t**3 - t**2 - t. Let a be n(2). Suppose a*x + 6 - 22 = 0. Let f(m) = 7*m - 1. Is f(x) a composite number?
True
Let k(a) = -a**3 + 2*a**2 + 2*a + 1. Let g be k(3). Let m be (-984)/(-26) - g/13. Let v = m + -5. Is v a prime number?
False
Let z = -7 + 12. Suppose w = 6*w + z. Is w*(-3)/((-6)/(-194)) a composite number?
False
Let u(v) = v**3 - 10*v**2 + 5*v + 2. Let q be u(10). Suppose q = h + h. Is h composite?
True
Let a(q) = -6*q**3 - 4*q**2 - 3*q - 1. Suppose -2*p = 3*k - 75, -50 = 4*k - 6*k - 4*p. Let g be (-55)/k - (-2)/10. Is a(g) a prime number?
True
Let t be -12*(1/(-2) - -1). Let z = -8 - -27. Is z*(t + 3)/(-3) a prime number?
True
Let u be 2*(-2 - (-171)/6). Suppose 4*z - 5*z = -u. Suppose -z - 9 = -2*w. Is w a composite number?
False
Let u = 56 + -31. Is 7/((-105)/(-6))*u a prime number?
False
Suppose 5*w + 0*w - 80 = 0. Is (117 + -1)*8/w composite?
True
Suppose 4*j - 3 = 3*j. Let p(c) = c**2 + 4 + 4*c + 1 - 2 - j*c**3. Is p(-2) a prime number?
True
Let v = -427 - -1172. Suppose -5*z - g = -1615, -4*z - 2*g + 547 = -v. Is z composite?
True
Suppose 2*x - 28 = -2*x. Let t = -14 + x. Let m = t - -14. Is m composite?
False
Suppose -v + 5*a + 9 = 0, 0 = v - 2*a + 4*a - 2. Let z = v + 21. Is z prime?
False
Suppose -2*k + 4 = -0*k. Suppose -k*y + 30 = -y. Is 205/y - (-1)/6 composite?
False
Let z = 33 - 13. Let i = -14 + z. Is i composite?
True
Is (-9)/(-21) + 928/7 a composite number?
True
Let m = -15 + 80. Is m composite?
True
Is -11463*(-3)/18*2 composite?
False
Suppose -3*j + 20971 - 6862 = 0. Is j composite?
False
Let x(b) = -b**2 - 9*b + 12. Let f be x(-10). Is f*1*1143/18 composite?
False
Suppose 0 = -a + 3, k - 4*k + 117 = 4*a. Is k prime?
False
Let m(k) = 5*k**2 + 5*k - 194. Let i(t) = 3*t**2 + 3*t - 97. Let y(v) = 7*i(v) - 4*m(v). Is y(0) a prime number?
True
Suppose -j - j = 2*z, 0 = 3*j + 5*z + 10. Let f be ((-98)/(-4))/((-3)/(-6)). Suppose -3*c + f = p + 6, 189 = j*p + 2*c. Is p composite?
False
Suppose -4*j = j - 565. Is j a prime number?
True
Let g = 107 + -65. Let d(u) = -u + 5. Let a be d(4). Is (-5)/a*g/(-10) a prime number?
False
Let g = -2 - -4. Suppose -925 = -z - 4*z. Suppose -z = -g*c - 3*c. Is c prime?
True
Let c(r) = r**3 + 7*r**2 + 7*r + 8. Let q be c(-6). Suppose q*z - 516 = -2*z. Is z prime?
False
Let d(r) = r**3 - 6*r**2 + 3*r + 4. Let g be d(5). Let u = g + 11. Suppose 5*k - 335 = -3*i, -k + 3*i = -u*k + 268. Is k a composite number?
False
Suppose 2*r = -0*r + f + 11, 4*r = -3*f + 27. Is r composite?
True
Let r be 3 + (-3 - -1) + 14. Let v = r + 24. Is v a prime number?
False
Let g(t) = -t + 8. Let y be g(6). Let s(z) = 11*z**3 - 4*z**2 + 2*z + 1. Is s(y) composite?
True
Suppose 8*n = -0*n + 1112. Is n a composite number?
False
Let m(c) = -2*c + 2*c - 2 + 11 - 14*c. Let k be m(-8). Suppose 2*y + n = 220, -3*y + 2*y = -5*n - k. Is y prime?
False
Let d(o) = o**3 - 7*o**2 + 4*o + 1. Let c be d(6). Let k = -9 - c. Suppose k = -2*f + 44. Is f composite?
True
Let r = -197 - -558. Let v = -102 + r. Is v composite?
True
Let u = 14 + -13. Let d(o) = o**2 - o - 1. Let x(w) = 89*w**2 - w. Let t(l) = -d(l) + x(l). Is t(u) prime?
True
Suppose -2*k = -5*k - 9. Let b = k - -18. Is b a prime number?
False
Suppose 2*f = -3*w + 48, -2*w - 3*w - 2*f + 76 = 0. Suppose w + 17 = z. Is z a prime number?
True
Let r be (-613)/(-4) - 3/(-4). Suppose l - r = -23. Is l a composite number?
False
Let b(l) = 17*l**2 + 7*l - 7. Is b(4) a composite number?
False
Let l(c) = c + 1. Let o(m) = 96*m**2 - 2*m - 1. Let n(z) = 3*l(z) + o(z). Is n(-1) a prime number?
True
Let u(f) = -f - 2. Let b be u(-7). Suppose b*l = -2*w + 139 + 304, 2*l - 181 = 3*w. Is l a composite number?
False
Let c = -19 + 9. Let v = c - -15. Suppose 111 = v*m - 2*m. Is m composite?
False
Let i(o) = 25*o**3 - 4*o**2 + o - 1. Is i(3) prime?
True
Let w(v) = v + 4. Let j be w(-2). Suppose j*t = -4*a + 130, -t + 2*t = 4*a - 145. Is a a composite number?
True
Let l = 380 - -663. Is l a composite number?
True
Let n be (-3)/(-12) - 63/(-4). Let v = -11 + n. Suppose 6 + 169 = v*r. Is r composite?
True
Suppose -2*w - 2*w = -4*z - 32, 4 = -2*z. Is (-2)/3 + 208/w a prime number?
False
Is (-7)/(175/(-42720)) - 2/(-10) a prime number?
True
Let p = 567 + -382. Is p a composite number?
True
Is (-8 - -7)*502/(-2) prime?
True
Let v(u) be the first derivative of -17*u**2/2 + u - 2. Let b be (-3 - -2)*(0 - -2). Is v(b) a prime number?
False
Suppose 4*j - 5*j + 143 = 0. Is j a prime number?
False
Is ((-98)/(-21))/(6/261) a composite number?
True
Suppose -v - 3*d = 153, -4*d + 623 = -5*v - 218. Is -1*v/(-3)*-1 prime?
False
Is (-3333)/(-5) + 10/125*5 a composite number?
True
Let a be 3/15 + 42/15. Suppose 0 = 4*c - 8, -a*r - 4*c + 20 = -0*c. Suppose 3*f = 3*z - 90, 0 = z - r*z - 2*f + 95. Is z a prime number?
True
Suppose 9 = -h + 4*h. Suppose -h*s + 123 = -138. Suppose 2*r + 2*r = g + s, 5*g = -2*r + 71. Is r prime?
True
Let p = -2 + 4. Let u be 1 + p + -2 - -3. Suppose 14 + 14 = u*m. Is m composite?
False
Suppose -5*u = -6*u + 395. Is u prime?
False
Is (-1337)/(-15) - 4/30 prime?
True
Suppose 3*c + c - 3*y = 7, 4*c + 2*y = 22. Let m(x) = 4*x**3 + x**2 - 2*x - 1. Is m(c) prime?
True
Suppose 0*h - 4*h = -28. Let s(b) = -b**3 + 11*b**2 - 4*b - 8. Let j be s(h). Let q = -109 + j. Is q a composite number?
True
Let b = 147 + 298. Is b a prime number?
False
Suppose -3*g - 6158 = -5*g. Is g a prime number?
True
Suppose -2*b - 557 = -5*x - 6*b, 0 = 4*x + 2*b - 448. Is x composite
|
{
"pile_set_name": "DM Mathematics"
}
|
10*o**3 + 2*o**2 - o + 1
What is the o'th term of 2185, 2203, 2245, 2323, 2449, 2635, 2893?
2*o**3 + 4*o + 2179
What is the b'th term of -177, -628, -1343, -2316, -3541?
b**3 - 138*b**2 - 44*b + 4
What is the h'th term of 660, 1329, 1998, 2667, 3336, 4005?
669*h - 9
What is the w'th term of -136, -227, -290, -325, -332, -311?
14*w**2 - 133*w - 17
What is the q'th term of -1179, -2127, -2851, -3351, -3627, -3679?
112*q**2 - 1284*q - 7
What is the r'th term of 3140, 3087, 3000, 2879?
-17*r**2 - 2*r + 3159
What is the y'th term of 502, 8, -806, -1946, -3418, -5228?
-y**3 - 154*y**2 - 25*y + 682
What is the a'th term of 12, 74, 220, 486, 908?
6*a**3 + 6*a**2 + 2*a - 2
What is the u'th term of -9796, -19619, -29436, -39247, -49052?
3*u**2 - 9832*u + 33
What is the g'th term of 34806, 34808, 34810, 34812?
2*g + 34804
What is the z'th term of 1408228, 1408224, 1408220, 1408216, 1408212?
-4*z + 1408232
What is the f'th term of 564, 473, 382, 291, 200?
-91*f + 655
What is the n'th term of -183, -692, -1537, -2730, -4283, -6208, -8517, -11222?
-2*n**3 - 156*n**2 - 27*n + 2
What is the g'th term of -199, -455, -883, -1483?
-86*g**2 + 2*g - 115
What is the u'th term of -762, -1523, -2280, -3033?
2*u**2 - 767*u + 3
What is the c'th term of 8686, 8696, 8704, 8710, 8714?
-c**2 + 13*c + 8674
What is the k'th term of 2020, 2056, 2102, 2158, 2224, 2300?
5*k**2 + 21*k + 1994
What is the l'th term of -143, -312, -481?
-169*l + 26
What is the p'th term of 117, 132, 47, -138, -423, -808, -1293?
-50*p**2 + 165*p + 2
What is the l'th term of 118274, 118266, 118258?
-8*l + 118282
What is the d'th term of 26504, 26340, 25890, 25010, 23556, 21384, 18350, 14310?
-24*d**3 + d**2 + d + 26526
What is the q'th term of 261, 424, 545, 624?
-21*q**2 + 226*q + 56
What is the m'th term of 1405, 1106, 281, -1334, -4003, -7990?
-44*m**3 + m**2 + 6*m + 1442
What is the z'th term of -3627, -3591, -3541, -3471, -3375, -3247, -3081, -2871?
z**3 + z**2 + 26*z - 3655
What is the j'th term of -199528, -199537, -199560, -199603, -199672, -199773?
-j**3 - j**2 + j - 199527
What is the x'th term of -28, -61, -82, -85, -64, -13?
x**3 - 40*x + 11
What is the u'th term of -563, -1694, -3587, -6248, -9683, -13898, -18899, -24692?
-u**3 - 375*u**2 + u - 188
What is the s'th term of -674, -793, -982, -1241, -1570?
-35*s**2 - 14*s - 625
What is the w'th term of -2236, -4455, -6674, -8893, -11112, -13331?
-2219*w - 17
What is the b'th term of -37, 5, 43, 77, 107?
-2*b**2 + 48*b - 83
What is the t'th term of 10587, 9884, 9181?
-703*t + 11290
What is the d'th term of -4687, -9377, -14067, -18757, -23447, -28137?
-4690*d + 3
What is the o'th term of 1871, 7465, 16789, 29843, 46627, 67141, 91385?
1865*o**2 - o + 7
What is the b'th term of 2111, 4202, 6289, 8372, 10451, 12526, 14597?
-2*b**2 + 2097*b + 16
What is the x'th term of -15, 53, 121, 189, 257, 325?
68*x - 83
What is the m'th term of 995, 1099, 1259, 1475, 1747?
28*m**2 + 20*m + 947
What is the u'th term of 7150, 7148, 7146, 7144, 7142?
-2*u + 7152
What is the s'th term of 444, 215, -14?
-229*s + 673
What is the y'th term of 21, -2, -53, -132, -239?
-14*y**2 + 19*y + 16
What is the i'th term of 193, 237, 277, 313, 345, 373, 397?
-2*i**2 + 50*i + 145
What is the y'th term of -3867, -7770, -11673, -15576, -19479?
-3903*y + 36
What is the p'th term of -1976, -2912, -3848, -4784, -5720, -6656?
-936*p - 1040
What is the h'th term of 15629, 31260, 46891, 62522?
15631*h - 2
What is the r'th term of -171962, -171964, -171966, -171968?
-2*r - 171960
What is the i'th term of 42571, 42578, 42589, 42604?
2*i**2 + i + 42568
What is the t'th term of 7654, 30516, 68628, 121996, 190626?
t**3 + 7619*t**2 - 2*t + 36
What is the b'th term of 64524, 64528, 64530, 64530, 64528, 64524, 64518?
-b**2 + 7*b + 64518
What is the q'th term of 6793, 13522, 20141, 26596, 32833?
-9*q**3 - q**2 + 6795*q + 8
What is the l'th term of -66, -107, -152, -189, -206, -191, -132, -17?
2*l**3 - 14*l**2 - 13*l - 41
What is the d'th term of -15968, -15963, -15956, -15947, -15936?
d**2 + 2*d - 15971
What is the w'th term of 180, 1347, 4472, 10533, 20508, 35375, 56112, 83697?
163*w**3 + w**2 + 23*w - 7
What is the h'th term of 5145, 10309, 15473, 20637, 25801?
5164*h - 19
What is the u'th term of -30, 212, 956, 2454, 4958, 8720, 13992?
42*u**3 - u**2 - 49*u - 22
What is the d'th term of 335, -202, -1097, -2350?
-179*d**2 + 514
What is the v'th term of -4375, -8736, -13075, -17392?
11*v**2 - 4394*v + 8
What is the i'th term of 200, 599, 1294, 2291, 3596, 5215, 7154, 9419?
i**3 + 142*i**2 - 34*i + 91
What is the m'th term of -1086, -1046, -968, -834, -626?
3*m**3 + m**2 + 16*m - 1106
What is the p'th term of 720, 2823, 6330, 11241, 17556, 25275?
702*p**2 - 3*p + 21
What is the p'th term of -938, -3849, -8910, -16289, -26154?
-28*p**3 - 907*p**2 + 6*p - 9
What is the n'th term of -1175, -4526, -10105, -17906, -27923?
n**3 - 1120*n**2 + 2*n - 58
What is the a'th term of 486, 1688, 3662, 6414, 9950, 14276, 19398, 25322?
a**3 + 380*a**2 + 55*a + 50
What is the l'th term of 3355, 6481, 9607, 12733?
3126*l + 229
What is the q'th term of 495, 1616, 3365, 5742, 8747?
314*q**2 + 179*q + 2
What is the r'th term of 4, -41, -84, -125, -164?
r**2 - 48*r + 51
What is the w'th term of 44, 34, 72, 206, 484, 954, 1664?
8*w**3 - 24*w**2 + 6*w + 54
What is the z'th term of 36, 27, 10, -15?
-4*z**2 + 3*z + 37
What is the j'th term of -284, -338, -370, -368, -320, -214?
2*j**3 - j**2 - 65*j - 220
What is the q'th term of 114, 227, 306, 321, 242, 39, -318?
-5*q**3 + 13*q**2 + 109*q - 3
What is the j'th term of -408255, -1633023, -3674303, -6532095, -10206399, -14697215, -20004543?
-408256*j**2 + 1
What is the l'th term of -2995, -2822, -2485, -1978, -1295?
l**3 + 76*l**2 - 62*l - 3010
What is the z'th term of -603, -1214, -1825, -2436, -3047?
-611*z + 8
What is the o'th term of 795, 1732, 2647, 3534, 4387, 5200, 5967?
-o**3 - 5*o**2 + 959*o - 158
What is the s'th term of 397369, 397380, 397397, 397420?
3*s**2 + 2*s + 397364
What is the y'th term of -111, -282, -523, -834, -1215, -1666?
-35*y**2 - 66*y - 10
What is the j'th term of 760279, 1520560, 2280841, 3041122, 3801403, 4561684?
760281*j - 2
What is the s'th term of -1551481, -3102959, -4654423, -6205867, -7757285, -9308671, -10860019?
s**3 + s**2 - 1551488*s + 5
What is the s'th term of -19685, -19672, -19657, -19640, -19621, -19600, -19577?
s**2 + 10*s - 19696
What is the u'th term of 4746, 9486, 14250, 19050, 23898?
2*u**3 + 4726*u + 18
What is the k'th term of -221296, -221306, -221316, -221326?
-10*k - 221286
What is the z'th term of -3334, -5957, -8580, -11203, -13826?
-2623*z - 711
What is the l'th term of 136, 339, 600, 919, 1296, 1731, 2224?
29*l**2 + 116*l - 9
What is the p'th term of -23914, -47828, -71742, -95656, -119570?
-23914*p
What is the t'th term of -289, -306, -345, -418, -537, -714, -961, -1290?
-2*t**3 + t**2 - 6*t - 282
What is the u'th term of 1482, 1567, 1652, 1737, 1822?
85*u + 1397
What is the l'th term of 291, 473, 605, 663, 623, 461, 153?
-4*l**3 - l**2 + 213*l + 83
What is the n'th term of -281920, -281906, -281890, -281872, -281852?
n**2 + 11*n - 281932
What is the x'th term of -854, -1892, -2930, -3968, -5006, -6044?
-1038*x + 184
What is the f'th term of -16022, -15972, -15844, -15602, -15210, -14632, -13832, -12774?
6*f**3 + 3*f**2 - f - 16030
What is the f'th term of 56, 306, 716, 1280, 1992, 2846, 3836, 4956?
-f**3 + 86*f**2 - f - 28
What is the t'th term of 510, 512, 514, 516, 518?
2*t + 508
What is the w'th term of 1868, 3705, 5542, 7379?
1837*w + 31
What is the b'th term of 328543, 657086, 985629?
328543*b
What is the l'th term of -27, -74, -129, -198, -287?
-l**3 + 2*l**2 - 46*l + 18
What is the m'th term of 232, 219, 208, 199, 192, 187, 184?
m**2 - 16*m + 247
What is the h'th term of 47, 153, 311, 515, 759, 1037, 1343, 1671?
-h**3 + 32*h**2 + 17*h - 1
What is the h'th term of 33104, 66190, 99276?
33086*h + 18
What is the r'th term of -53, -72, -65, -20, 75, 232, 463, 780?
2*r**3 + r**2 - 36*r - 20
What is the a'th term of 1401, 1488, 1649, 1896, 2241?
2*a**3 + 25*a**2 - 2*a + 1376
What is the q'th term of 11244, 11226, 11186, 11112, 10992, 10814, 10566, 10236?
-2*q**3 + q**2 - 7*q + 11252
What is the m'th term of
|
{
"pile_set_name": "DM Mathematics"
}
|
there in twenty-nine fifths of a microgram?
5800
How many kilometers are there in 320.121mm?
0.000320121
Convert 4.3828 litres to millilitres.
4382.8
Convert 26.13088 millennia to decades.
2613.088
How many hours are there in 7/8 of a week?
147
What is 0.6647423 centuries in months?
797.69076
What is 1/36 of a hour in milliseconds?
100000
How many micrograms are there in 3/50 of a gram?
60000
Convert 9884.879 nanoseconds to seconds.
0.000009884879
How many decades are there in one tenth of a millennium?
10
What is three eighths of a meter in millimeters?
375
Convert 3.3643ng to micrograms.
0.0033643
How many micrometers are there in 7/4 of a millimeter?
1750
What is 37/5 of a litre in millilitres?
7400
Convert 738361.6 nanograms to milligrams.
0.7383616
How many hours are there in thirteen eighths of a day?
39
What is 197685.6 months in decades?
1647.38
How many centimeters are there in 81/4 of a meter?
2025
How many minutes are there in 7/2 of a hour?
210
What is one twentieth of a second in microseconds?
50000
Convert 196919.5 centimeters to nanometers.
1969195000000
What is twenty-nine halves of a millimeter in micrometers?
14500
How many micrograms are there in 51/5 of a milligram?
10200
How many nanoseconds are there in 0.5030169 minutes?
30181014000
How many months are there in 29/3 of a century?
11600
How many centuries are there in 6/5 of a millennium?
12
How many milliseconds are there in five quarters of a minute?
75000
What is 3.4221t in nanograms?
3422100000000000
How many nanometers are there in 11/2 of a micrometer?
5500
How many meters are there in 51/4 of a kilometer?
12750
How many millilitres are there in 4375.373 litres?
4375373
What is thirty-three fifths of a century in years?
660
How many kilograms are there in 84794.89mg?
0.08479489
What is 62719.87 nanometers in meters?
0.00006271987
What is 788111.5cm in millimeters?
7881115
What is 5/42 of a week in minutes?
1200
How many kilograms are there in six fifths of a tonne?
1200
How many millimeters are there in thirteen fifths of a meter?
2600
How many years are there in 0.2233074 decades?
2.233074
What is 3/40 of a week in minutes?
756
How many milligrams are there in 0.8246626ng?
0.0000008246626
How many seconds are there in 2/63 of a week?
19200
How many meters are there in 18/5 of a kilometer?
3600
How many kilometers are there in 935369.1 micrometers?
0.0009353691
How many millilitres are there in nineteen quarters of a litre?
4750
What is 9/10 of a microgram in nanograms?
900
How many millilitres are there in seventy-three fifths of a litre?
14600
How many millilitres are there in 5/4 of a litre?
1250
Convert 5709.342 grams to tonnes.
0.005709342
What is 93360.2l in millilitres?
93360200
What is 513568.7 micrometers in nanometers?
513568700
What is 13/5 of a litre in millilitres?
2600
How many millilitres are there in 21/5 of a litre?
4200
How many millilitres are there in one twentieth of a litre?
50
How many months are there in 1/60 of a millennium?
200
What is 1743.4323s in hours?
0.48428675
Convert 45.51415 centuries to millennia.
4.551415
How many milligrams are there in thirteen quarters of a gram?
3250
Convert 16198.49448 seconds to weeks.
0.026783225
What is 1/10 of a millisecond in nanoseconds?
100000
What is 7/8 of a gram in milligrams?
875
How many months are there in 82093.14 millennia?
985117680
What is 85405.7 milligrams in kilograms?
0.0854057
How many millilitres are there in twenty-one eighths of a litre?
2625
What is 7/4 of a litre in millilitres?
1750
What is 3/25 of a milligram in micrograms?
120
How many millilitres are there in 3.651098 litres?
3651.098
How many years are there in 17/4 of a millennium?
4250
How many months are there in twenty-one quarters of a century?
6300
How many years are there in 3/25 of a millennium?
120
What is sixty-four fifths of a litre in millilitres?
12800
What is 32484.39 millennia in years?
32484390
How many meters are there in 5.981098 centimeters?
0.05981098
How many nanometers are there in 30.6366 meters?
30636600000
How many decades are there in 1/5 of a century?
2
What is 15688.98 decades in years?
156889.8
How many nanometers are there in thirty-seven fifths of a micrometer?
7400
Convert 262.6816ug to nanograms.
262681.6
What is 51/5 of a centimeter in millimeters?
102
Convert 4804.543 hours to microseconds.
17296354800000
What is one tenth of a gram in milligrams?
100
What is 51/8 of a litre in millilitres?
6375
How many centuries are there in 0.4014359 millennia?
4.014359
How many micrometers are there in thirteen quarters of a centimeter?
32500
Convert 1822.151mg to micrograms.
1822151
How many litres are there in 7.07622ml?
0.00707622
What is 158.985288us in weeks?
0.0000000002628725
Convert 0.303641 litres to millilitres.
303.641
Convert 2886.48ng to micrograms.
2.88648
How many minutes are there in seven halves of a week?
35280
How many millimeters are there in 2184.44 kilometers?
2184440000
What is 37/2 of a litre in millilitres?
18500
What is 45/8 of a litre in millilitres?
5625
What is 0.1497298 litres in millilitres?
149.7298
How many meters are there in 7/4 of a kilometer?
1750
How many kilograms are there in 30.41264 grams?
0.03041264
What is 49418.77 kilometers in centimeters?
4941877000
Convert 22.18517 microseconds to seconds.
0.00002218517
Convert 7.143076 centuries to decades.
71.43076
What is 6/5 of a kilogram in grams?
1200
How many millilitres are there in 25/4 of a litre?
6250
Convert 0.9416666 nanograms to grams.
0.0000000009416666
What is 58.90258ml in litres?
0.05890258
How many decades are there in 11/4 of a millennium?
275
How many millimeters are there in 3/25 of a meter?
120
How many millilitres are there in nineteen quarters of a litre?
4750
How many minutes are there in 12/7 of a week?
17280
How many seconds are there in 28615.35 nanoseconds?
0.00002861535
Convert 89702.98 litres to millilitres.
89702980
What is 7/4 of a kilometer in meters?
1750
What is five sixths of a hour in seconds?
3000
What is seven sixths of a century in months?
1400
How many litres are there in 364901.6ml?
364.9016
How many millilitres are there in five quarters of a litre?
1250
What is 2571723.9 months in millennia?
214.310325
How many seconds are there in 84.27399 weeks?
50968909.152
How many weeks are there in 10425693.6 hours?
62057.7
How many decades are there in three fifths of a century?
6
Convert 47.7118 grams to kilograms.
0.0477118
How many micrometers are there in 8/25 of a millimeter?
320
Convert 70859.82 millilitres to litres.
70.85982
Convert 726634.3 tonnes to milligrams.
726634300000000
What is 546.809km in millimeters?
546809000
Convert 7455.421 decades to centuries.
745.5421
What is 156150.4cm in meters?
1561.504
What is 4669.309kg in milligrams?
4669309000
How many months are there in 8.268614 decades?
992.23368
What is 80060.91 milligrams in nanograms?
80060910000
How many months are there in three tenths of a century?
360
What is 77208.49 weeks in nanoseconds?
46695694752000000000
Convert 3.385018ms to seconds.
0.003385018
How many months are there in seventy-seven fifths of a decade?
1848
What is 1/5 of a litre in millilitres?
200
How many kilograms are there in one quarter of a tonne?
250
How many micrograms are there in 879625.2 nanograms?
879.6252
How many millilitres are there in 0.6833284 litres?
683.3284
How many centimeters are there in twenty-seven halves of a meter?
1350
How many nanograms are there in 1/5 of a microgram?
200
What is 5/4 of a kilogram in grams?
1250
Convert 98391.5mg to micrograms.
98391500
How many micrograms are there in nine tenths of a milligram?
900
How many milligrams are there in 148946.6t?
148946600000000
How many decades are there in 32/5 of a millennium?
640
What is 21/4 of a hour in minutes?
315
What is 33/5 of a millennium in decades?
660
How many months are there in 5/6 of a millennium?
10000
How many kilograms are there in 11429.59g?
11.42959
What is 69626.09 nanograms in kilograms?
0.00000006962609
What is 21/8 of a litre in millilitres?
2625
Convert 2.5151 millilitres to litres.
0.0025151
How many micrometers are there in 6.67366 millimeters?
6673.66
How many micrograms are there in 5/4 of a milligram?
1250
What is 8405.041 micrograms i
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4 - 4 for x.
-2
Solve -4*g - 7 = -0*g + f, -15 = 5*f for g.
-1
Solve -10 = f - 3*r, -2*r + r = 4*f - 12 for f.
2
Solve 4*i - 9 - 11 = 4*l, 4*l = -4*i - 12 for i.
1
Solve -8*l = -10*l + 10, 0 = 2*o - 2*l + 12 for o.
-1
Solve 2*y + 15 = y + 4*f, 4*y = -4*f for y.
-3
Solve -5*a + a - 5 = 5*h, -3*h + 14 = -a for h.
3
Solve 3*q + 3*l = -30, -20 = -q + 4*l + l for q.
-5
Solve 0 = 4*n + 2*k + 10, 13*n - 12*n - 2*k = -5 for n.
-3
Solve -4*j - 4*b = -0 + 28, -18 = 2*j + 3*b for j.
-3
Solve 0 = p - 4*a, -8*a + 2 = -6*a for p.
4
Solve f - b = -4*b - 3, 2 = -4*f - 2*b for f.
0
Solve -4*f = 7*x - 3*x + 40, 0 = 2*f - 2*x for f.
-5
Solve -22 - 11 = 5*p + 3*s, 0 = 3*p - 3*s + 15 for p.
-6
Solve 3*u + 2*i = -2*u + 2, 3*u + i = 2 for u.
2
Solve s - 5 = m, -4*s + 18 = 25*m - 27*m for m.
-1
Solve g + 3 = 0, -41*n + 45 = -46*n - 5*g for n.
-6
Solve 5*d - 10 = -5*l, -5*d + 4*d - 8 = -l for l.
5
Solve r - 9 = 2*l, -5*l - 6*r = -r for l.
-3
Solve y + 1 - 14 = -3*x, 3*y = 4*x for x.
3
Solve -6 = -2*p, 3*l - 95*p + 91*p + 9 = 0 for l.
1
Solve 3*r - s - 26 + 17 = 0, 3*s = 3*r - 3 for r.
4
Solve 4*h = -5*t + 10, h + h - 4*t = 18 for h.
5
Solve 0 = -2*w - 2*b + 8, 0 = -0*w - w - 4*b + 4 for w.
4
Solve 2*r - 5*u + 1 = -4, 4*u = 12 for r.
5
Solve -4*i - 7 = -56*c + 59*c, -3*c + 21 = -3*i for i.
-4
Solve 5*q + 3*c = -7 - 8, 0 = -5*q - c - 5 for q.
0
Solve 3 = -7*n + 6*n - w, -n - 9 = 3*w for n.
0
Solve 3*t = -4*o + 7*t - 12, 0 = 4*o + 3*t - 9 for o.
0
Solve 0 = 39*s - 36*s + 2*j + 8, 4*s - 5*j - 20 = 0 for s.
0
Solve -4*h - 5*o + 13 = -6*o, -4*o + 5 = 3*h for h.
3
Solve -6*u + u - 2*x + 15 = 0, 4*x = -3*u + 23 for u.
1
Solve -2*m + 9 + 9 = -4*z, 2*m - 20 = 5*z for z.
-2
Solve -2*c = 3*x + 2*x + 17, -4*c + 3*x + 31 = 0 for c.
4
Solve 4*f - 2*d + 0 + 18 = 0, -3*f = 5*d - 6 for f.
-3
Solve -4*a - 7 = 3*q, a - 3*q - 17 = -0 for a.
2
Solve 2*h + 3*l = 4*l + 4, 4*h = -5*l + 8 for h.
2
Solve -2*r + 2 - 11 = 3*m, 14 = -2*r - 4*m for r.
3
Solve -3*n - 5*p - 2 = -0, n = -5*p + 6 for n.
-4
Solve 17 = -3*f - 2*z, 4*f = f + 6*z - 9 for f.
-5
Solve 0 = 3*v - 2*a + 5*a + 3, 0 = -4*v - 2*a - 10 for v.
-4
Solve 2*k = 4*m + 13 - 15, -2*m = -3*k + 5 for k.
3
Solve 32*q + 3*y + 16 = 28*q, -2*y = -5*q + 3 for q.
-1
Solve 0 = 4*s - 5*s - 5*k + 15, 6 = -4*s + 2*k for s.
0
Solve -5*g = -7*g + 5*b + 16, -4*b = -g + 14 for g.
-2
Solve -11*j = -b - 10*j, 4*j - 6 = 2*b for b.
3
Solve 2*k - 6 = 4*v, -4 + 3 = 5*k + 6*v for k.
1
Solve 3*f - 2 + 3 = -2*z, 2*f - 2*z + 4 = 0 for f.
-1
Solve 9*b = 13*b - 3*c + 11, -4*b + 2*c - 6 = 0 for b.
1
Solve -b - 5*v + 1 = -0*b, 0 = 3*b + 5*v - 3 for b.
1
Solve -3*h - 507*c + 505*c = -6, 0 = -h + 2*c + 2 for h.
2
Solve 5*d - 6 = -2*i, -1 = -2*d - 6*i + 17 for d.
0
Solve 5*i = -g - 1, 5*i + 4 = -26*g + 22*g for i.
0
Solve -s + 10 + 13 = -4*v, 19 = 3*s - 2*v for s.
3
Solve 2*q + 4*u + 12 = 0, -7*u - 12 = 5*q - 3*u for q.
0
Solve 2*g + 5*t = 12, 91*g = 92*g - 4*t + 7 for g.
1
Solve -4*t - 2*h - 22 = -0, 6 = -t - h for t.
-5
Solve 4*w - 5*t - 4 = 3*w, -t + 2 = -3*w for w.
-1
Solve 4*h - 7*h = -5*s + 11, 0 = h + 4*s - 2 for h.
-2
Solve 5*w - 7*h = -12*h, -2*w + h = -6 for w.
2
Solve -4*a - 3*u = -31, a - 13 = -3*u + 6 for a.
4
Solve -2*w = -5*s + 3, 5*s = 3*w - 2*w + 4 for w.
1
Solve 2*b - 5*b - 20 = -5*l, 0 = -4*b - 2*l + 8 for b.
0
Solve -22 = 4*o - 2*z, 21 = o - 4*o + 3*z for o.
-4
Solve -41*g - 6 = b - 43*g, -3*b - 8 = -4*g for b.
4
Solve -4 = -3*w + u, 4*u = -2*w + 7*u - 2 for w.
2
Solve 4*i = -x + 78 - 70, 5*i - 4*x - 31 = 0 for i.
3
Solve 4*d = -h, 0 = -7*d + 2*d + 4*h for d.
0
Solve 6*a - 10 = 2*a - 2*s, -2*a + 5*s = 25 for a.
0
Solve 5*w - 4*x - 33 = 0, 7*w - 30 = 3*w + 5*x for w.
5
Solve 5*o - 5*w = 0, -56*o + 2*w = -61*o + 21 for o.
3
Solve 0 = 5*t - d - 15, -5*t + 15 = 16*d - 18*d for t.
3
Solve -4*t - m - 17 = 0, t + 59*m = 60*m - 3 for t.
-4
Solve f - 2 = h, -h - 3*f + 24 = 2*h for h.
3
Solve 0 = -5*p - 5, 3*o + 7 = 4*p + 8 for o.
-1
Solve v + 21 = 6*v + g, -5*g = 4*v for v.
5
Solve 0 = 4*q + r - 7, -5*r - 16 = 6*q - 3*q for q.
3
Solve 3*k + 3 = 0, 0 = 5*h + 2*k - 2 + 9 for h.
-1
Solve -2*r + 10*a - 14*a - 2 = 0, 5*r + 3*a - 16 = 0 for r.
5
Solve -3*w + 0*w = -6, 4*w = 5*o + 8 for o.
0
Solve 4*i - 5*m = 7, 2*m - 49 + 53 = 2*i for i.
3
Solve -4*h + 64 = -4*w + 52, -5*w - 4*h + 30 = 0 for w.
2
Solve 3*h = 5*u - 0 + 15, 0 = 3*u + 2*h - 10 for u.
0
Solve -3*v - v - 3*p = -31, -v + 4*p - 16 = 0 for v.
4
Solve -a = 0, -20 = -2*u - 5*a - 18 for u.
1
Solve 5*z + c + 17 = 6, 3*z - 5*c + 1 = 0 for z.
-2
Solve -11*h + 12 = -13*h + 3*g, 0 = 5*g - 20 for h.
0
Solve -4*o + 17 = z, 5*o - 32 = 4*z - 16 for z.
1
Solve -5*z + 3*z + 2*r = -12, 0 = 5*z + r - 6 for z.
2
Solve -2*z = -5*p - 7*z, 18 = -3*p + 3*z for p.
-3
Solve 5*r = 5*n - 30, -86*n + 5*r = -89*n + 18 for n.
6
Solve f = 3*j - 12, 4 = j + 7*f - 5*f for j.
4
Solve -3*q - 4 = -y - 13, 3*q - 4*y - 18 = 0 for q.
2
Solve -5*a - 2 = 4*b, -4*b = 2*a + 2*a for a.
-2
Solve -23 = -3*w + 2*y, -3*w = y - 21 + 10 for w.
5
Solve -2*a - 3*k = -4*k + 10, -25 = 5*a - 3*k for a.
-5
Solve 2*s - 13 = -c, s - 2*c - 5 + 11 = 0 for s.
4
Solve 35*u - 5 = 34*u + 5*m, m = -4*u - 1 for u.
0
Solve -5*a = -4*a + 5, -3*r = -6*a - 51 for r.
7
Solve -2*v - 7 = 2*r + 7, -3*r - 9 = 0 for v.
-4
Solve -4*q = 3*j - 7, -4*j + 8*j = -2*q - 4 for j.
-3
Solve 2*a = -0*a + 5*k - 13, a - 5*k + 9 = 0 for a.
-4
Solve -3*f - 22 = -5*x, -5*x - 6 + 30 = -f for f.
1
Solve 4*n + 6 = 3*h, -2*n - 4 = -10*h + 8*h for n.
0
Solve 6 = -g + h, 1 + 8 = -2*g - h for g.
-5
Solve -70*j + p + 2 = -67*j, -3*j + 2*p = 2 for j.
2
Solve 0 = 4*c - 0*a - a + 3, 0 = 2*a - 6 for c.
0
Solve 3*y - 6 = 2*y + 4*l, 2*l + 12 = 5*y for y.
2
Solve 3*p + 5*h - 3 + 38 = 0, 0 = -4*p - 5*h - 40 for p.
-5
Solve h = 2*i - 7, 2*h = 3*i - h - 15 for i.
2
Solve 2*s = s - i + 3, 0 = 5*s - 5*i + 15 for s.
0
Solve -3*a - 55 + 49 = x, 5*a + 4*x + 17 = 0 for a.
-1
Solve -2*w - 14 = 4*i, w + i + 4*i = -19 for w.
1
Solve -3*a + 3*m = 0, -2*a + 3*m - 3 + 6 = 0 for a.
-3
Solve 3*v - 5*o + 3 = 7, 13 = 3*v + 4*o for v.
3
Solve -10*k = -15*k + 5*l + 15, 3*k = 4*l + 7 for k.
5
Solve s - 48 = 3*k - 41, 5*s = -25 for k.
-4
Solve 6 = -2*t - 2*t - 2*i, -4*i + 1 = -5*t for t.
-1
Solve y = 2*s + 7, 7*y + 3 = 11*y - 3*s for y.
-3
Solve -4*u + 3*r = 2, -4*u - 2*r = 3*r + 18 for u.
-2
Solve -4*i = -5*q - 18, 2*q + i + 0*i = -2 for q.
-2
Solve -4*n + 5*f = 0, -2*n - 4*f + 25 = -1 for n.
5
Solve 0 = 4*x - 3*n - 7, 0 = -n - 23 + 22 for x.
1
Solve -5*v - 20 = -2*z, 0 + 12 = -2*z - 3*v for z.
0
Solve -2*a + 5*v - 8 = 0, 3*v = -4*a - 5 + 15 for a.
1
Solve -3*x = -5*x + 5*v + 9, -9 = 4*x - v for x.
-3
Solve -3*c - 28 = 5*u - 8, 4*c - 4 = u for u.
-4
Solve -m + 25 - 6 = 4*g, -4*m = 4*g - 16 for g.
5
Solve -2*j = -j + 4*g + 8, -3*j = 4*g + 16 for j.
-4
Solve -2*y + 7 + 1 = 2*x, 0 = 5*y - 2*x + 15 for y.
-1
Solve 3*s + 10 = -l, 5*s + 30 = 25*l - 24*l for l.
5
Solve 3*d = -2*l + 5 + 1, -2*d + 15 = 5*l for l.
3
Solve -4*v + 3*p = 26, 13 + 8 = -5*v - 2*p for v.
-5
Solve n - k - 8 = 0, -52*n = -56*n + 2*k + 22 for n.
3
Solve 10 = -5*a + 15*d - 20*d, 0 = a - 3*d - 10 for a.
1
Solve -3*h = -5*f + 12, 2*f - 11 = 319*h - 324*h for f.
3
Solve 4*r - 5 = y + 5*r, 5*r + 25 = 3*y for y.
0
Solve -3*n = -3, 3*p + 3 = -n - 8 for p.
-4
Solve -g + 4*u + 10 + 3 = 0, 5*u = g - 15 for g.
5
Solve -9*u + 10*u + 2*j = 1, -2*j + 16 = 4*u for u.
5
Solve -5*d = -4*f + 20, 20 = -6*d + d for f.
0
Solve -y + 1 = 4*g, 3*g = 3*y - 38 + 5 for y.
9
Solve -2*t = 2*w - 2, 0 = 24*t - 21*t - 2*w - 18 for t.
4
Solve -33 = n - 4*i, 619*n = 624*n + 5*i - 35 for n.
-1
Solve 0 = -f + 26*v - 24*v + 7, -4*v - 8 = 0 for f.
3
Solve 0 = 2*k + 4*v, -2*k + 47*v + 8 = 43*v for k.
2
Solve 4*h = 16, -4*m - 50*h + 24 = -47*h for m.
3
Solve 3*j - 11 = -s + 9, 4*j - 28 = 0 for s.
-1
Solve 17 = -3*r + l + 2, 0 = -r + 3*l - 13 for r.
-4
Solve -2*u = 3*r - 5*u + 18, 0 = 4*r + 3*u - 11 for r.
-1
Solve -3*i = -4*y - 8, 15*y - 11*y - 4*i + 12 = 0 for y.
1
Solve 6 = -3*o - 3*p, -38*p - 3 = -37*p for o.
1
Solve 4*y - 9 = -5*p, -y + 3 = 5*p - 3 for y.
1
Solve -3 = -2*t + x, -t - 3*x - 4 + 16 = 0 for t.
3
Solve -2*q - 8 = 6*t - 7*t, -3*t = -2*q - 12 for q.
-3
Solve 3*n + 67 = 2*c + 87, 2*n + 20 = -7*c for c.
-4
Solve -4 = 2*k - 2*l, -4*k + 6 = 3*l + 28 for k.
-4
Solve -5*z = b + 11, 3*z = 4
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -6*s + 25 = -s. What is the highest common divisor of s and l?
5
Let t = 9 + 17. Let h be (-411)/(-9) - 4/6. Suppose 5*c - 150 = h. What is the greatest common factor of c and t?
13
Let l(v) = -1. Let s(r) = -31*r - 5. Let w(x) = 3*l(x) - s(x). Let g be w(2). What is the highest common divisor of g and 16?
16
Suppose 2*l + 2 - 8 = 0. What is the highest common divisor of l and 1?
1
Let r(o) be the third derivative of -o**6/120 - o**5/60 + 5*o**3/6 - o**2. Let s be r(0). What is the greatest common divisor of 20 and s?
5
Let h be (-100)/(-15)*30/4. What is the highest common divisor of 10 and h?
10
Let f(j) = 3*j**2 + 2*j - 5. Let u be f(-6). Suppose -z = z - 26. What is the greatest common factor of u and z?
13
Suppose 0 = 4*l - 240 - 208. Calculate the highest common factor of 16 and l.
16
Suppose q = 13 - 7. Calculate the highest common factor of q and 6.
6
Let x = 20 + 1. What is the highest common factor of x and 63?
21
Let h = -2 - -3. Let s be 8/(h*4/66). Let j(p) = 3*p. Let v be j(4). Calculate the greatest common divisor of v and s.
12
Let h = -19 - -36. Calculate the highest common divisor of 34 and h.
17
Suppose -21 + 61 = 4*b. Calculate the greatest common factor of b and 50.
10
Suppose -4*r = -r - 36. What is the highest common factor of 30 and r?
6
Let m be -4 + (-15)/(-3) + 4. Calculate the highest common divisor of 15 and m.
5
Let t = 41 + -19. What is the greatest common factor of t and 11?
11
Let u(n) = 13*n - 7. Let g be u(4). What is the greatest common factor of 5 and g?
5
Let i be 764/(-10)*20/4. Let s be (-10)/(-40) - i/8. Suppose r - 2*n = -n + 11, -3*r - n + 53 = 0. Calculate the highest common divisor of s and r.
16
Suppose 17 = 5*o - 38. Let s = -43 + 76. What is the highest common factor of o and s?
11
Let k(f) = 5*f - 8. Let z be k(7). Suppose -2*v + 70 = -0*v. Suppose 3*w + 8 = v. What is the greatest common factor of z and w?
9
Suppose w - 5*r = 32, 2*w - 4*r - 22 = 30. Suppose 4*a - w = -6. What is the highest common divisor of 36 and a?
4
Let o(s) = 2*s - 21. Let a be o(15). Let h = 58 - a. Calculate the greatest common factor of 7 and h.
7
Let u be 2/(-4)*(8 - 2). Let a = 5 + u. Calculate the greatest common factor of 22 and a.
2
Let c(t) = 26 - t - 9 + 8*t - 2*t. Let w be c(5). What is the highest common divisor of w and 28?
14
Suppose -108 = -0*h - 2*h. Let b be 3/(3 - h/20). Calculate the highest common factor of b and 80.
10
Let b(z) = -z + 72 - 2*z + 4*z - z**2 - z**3. Let q be b(0). Calculate the greatest common factor of 8 and q.
8
Let j(p) = -p**3 - p**2 + 2*p + 3. Let c be j(-4). Suppose t - 4 + 5 = 0. Let v be c + (5 - 2) + t. Calculate the highest common divisor of 9 and v.
9
Let n(w) = 48*w + 6. Let u be n(4). Calculate the greatest common factor of 18 and u.
18
Let d = 115 + -35. What is the greatest common divisor of 20 and d?
20
Let p(c) = c**2 - 10*c - 47. Let q be p(19). Calculate the greatest common factor of q and 31.
31
Suppose 0 = 2*t + 2*m - 2, -5*t + 4 = -3*m - 9. Let h(y) = t*y - 3*y + 10*y + 2*y**2 + 7. Let p be h(-7). What is the highest common factor of 21 and p?
21
Let u be 8/(-20) - 27/(-5). Suppose -u - 7 = -3*m, 4*v + 2*m - 372 = 0. Let k = v - 49. What is the highest common divisor of k and 14?
14
Let f be 20/6*(5 - -13). Let u(y) = y**2 + y. Let k be u(3). Calculate the highest common divisor of f and k.
12
Suppose 8*c - 3*c = 520. Calculate the greatest common factor of 39 and c.
13
Suppose 0*v = v. Suppose k + v*t = 2*t - 4, -5*k - 2*t + 4 = 0. Suppose -j + 10 = -k*j. What is the highest common factor of j and 20?
10
Let m(f) = 4*f - 26. Let u be m(10). What is the highest common divisor of 112 and u?
14
Let r = 263 - 144. What is the highest common factor of 17 and r?
17
Suppose 22 = -4*w + 6*w. Let y = 7 - w. Let m = 9 + y. Calculate the highest common factor of m and 55.
5
Let t be 9 - 10 - (-1 - 0). Suppose t = -5*w + 83 + 117. Calculate the greatest common factor of 10 and w.
10
Let y(r) = 12*r**2 + 4*r + 6. Let h be y(-4). Let c = -110 + h. Calculate the highest common factor of 8 and c.
8
Let q = -291 + 651. Calculate the highest common factor of q and 45.
45
Let j(u) = 177*u**3 - 3*u**2 + 4*u - 2. Let r be j(1). Calculate the highest common factor of r and 16.
16
Suppose 2*k + 2*k = 12. Let m be -1*k*-30*1. Let o(r) = r + 36. Let y be o(0). What is the greatest common divisor of m and y?
18
Suppose -3*h - k = -17, 5*h - 5*k + 1 = -4. Suppose -i = h*i - 30. Calculate the highest common factor of i and 6.
6
Let r(u) = -6*u**3 - 2*u**2 - 2*u - 1. Let o be r(-1). Suppose -4*f + 34 = o*c - 7, 2*f - 15 = 3*c. Calculate the greatest common divisor of 99 and f.
9
Let v(z) = -2*z**3 - 5*z**2 - 4*z - 3. Let y(i) = i**3 + 4*i**2 - 4*i + 2. Let d be y(-5). Let x be v(d). Calculate the greatest common factor of x and 45.
9
Suppose -41 = q - 2*k, q + k + k = -45. Let b = q + 21. Let s = -7 - b. What is the greatest common divisor of s and 3?
3
Let w be (1 + -4)/((-6)/28). Suppose 3*q - 102 = -3*i, -q + 145 = 3*q - 5*i. Calculate the greatest common factor of w and q.
7
Let j be ((-33)/(-3) - 5)/2. Calculate the highest common factor of 3 and j.
3
Let g(r) be the first derivative of 13/3*r**3 + 0*r**2 + r + 2. Let p be g(1). What is the greatest common divisor of 21 and p?
7
Let z be 1/(-6) + (-323)/6. Let y be 4/10 - z/15. Suppose -4*r + 2*u = -2*u - 184, 0 = 5*r + 2*u - 216. What is the greatest common factor of y and r?
4
Suppose 3*y - o = 237, -5*y + 3*o = 8*o - 415. Let u = 26 + -16. Calculate the highest common divisor of y and u.
10
Let a be -6*(-3 + 2) + 2. Calculate the highest common divisor of 12 and a.
4
Let v = 4 + -2. Suppose -144 = -6*i + v*i. Calculate the highest common divisor of 4 and i.
4
Let r be ((-3)/6)/(4/(-24)). Let x be 24/r - (3 - 2). Calculate the greatest common factor of 63 and x.
7
Let b(t) = 5*t + 12. Let x be b(12). Calculate the highest common divisor of 8 and x.
8
Let g be (-21)/(-1*(0 - -1)). Let b(r) = 3*r - 7. Let c be b(7). What is the greatest common divisor of g and c?
7
Let b(h) = 2 + 0*h - 3 - 6 + 2*h. Let p be b(5). Suppose -280 = -p*i - 4*j, j = 2*i - 3*j - 160. Calculate the highest common factor of 11 and i.
11
Let j = 66 - 42. Let g(x) = 2*x - 8. Let c = -18 - -25. Let q be g(c). What is the greatest common divisor of q and j?
6
Suppose -5*z - 45 + 120 = 0. Let s = -1 + 8. Let k be 2526/21 + (-2)/s. Calculate the greatest common divisor of z and k.
15
Let v(f) = -10*f. Let s = -3 + 2. Let g be v(s). Let r be (45/12)/(3/24). Calculate the highest common factor of g and r.
10
Let n(o) = -o + 7. Suppose -34 = -5*b - 9. Let t be n(b). Suppose 5 = 7*x - t*x. Calculate the greatest common divisor of x and 1.
1
Let k = -16 - -166. What is the highest common divisor of k and 50?
50
Let w be 222/4 + -4 + 4/8. What is the highest common divisor of w and 130?
26
Suppose -75 = -0*u - 5*u. Let d be 0/(-4 - -2) + u. Let g = 23 - d. What is the highest common factor of g and 32?
8
Let w = -80 - -85. What is the greatest common factor of 20 and w?
5
Suppose 6*f - 285 = 135. Calculate the highest common factor of 14 and f.
14
Let d = -38 + 68. Calculate the highest common divisor of d and 12.
6
Let c(y) = 4*y. Let h be c(5). Let z = -7 - -8. Let k be 20/((0 - -1) + z). Calculate the greatest common factor of k and h.
10
Let r be ((-63)/(-12))/((-5)/(-20)). What is the greatest common factor of 14 and r?
7
Suppose -6*d - 80 = -8*d. Calculate the greatest common factor of d and 16.
8
Suppose 3*i + 2*d - 27 + 1 = 0, 5*d - 44 = -4*i. Let x = 0 - -3. What is the highest common factor of i and x?
3
Let s = 19 + -19. Suppose s*h = h - 4. Let c = 45 - 17. What is the highest common factor of c and h?
4
Suppose 47 = 4*r - 25. Let v(w) = w**3 - w**2 + w + 45. Let n be v(0). What is the highest common divisor of r and n?
9
Let h = 395 - 275. Calculate the highest common divisor of 30 and h.
30
Suppose 5*a + 3*x - 355 = 8*x, 3*a - 220 = -4*x. What is the highest common divisor of 48 and a?
24
Suppose -y + 4*p = -0*y - 101, 5*y = 4*p + 585. Calculate the greatest common divisor of y and 11.
11
Let d(s) = s**2 - 1. Let i be d(3). What is the greatest common divisor of 1 and i?
1
Let r(p) = p**2 + 5*p + 7. Suppose -3*o = -8*o - 60. Let v be (4/8)/(1/o).
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{
"pile_set_name": "DM Mathematics"
}
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*5 - 11*p**4/3 + p**3 + 9*p**2 - 4*p/3 - 4 = 0. Calculate p.
-3, -2, -2/3, 1
Let 20*l**4 - 42*l**3 - 20*l**2 = 0. Calculate l.
-2/5, 0, 5/2
Determine p, given that 34*p**5/7 + 20*p**4 + 152*p**3/7 + 16*p**2/7 = 0.
-2, -2/17, 0
Let 2*l**5/11 - 2*l**4 + 84*l**3/11 - 140*l**2/11 + 106*l/11 - 30/11 = 0. Calculate l.
1, 3, 5
Find h such that 2*h**2/15 + 176*h/3 = 0.
-440, 0
Find a, given that -2*a**5 - 258*a**4 + 530*a**3 + 778*a**2 - 1056*a - 1048 = 0.
-131, -1, 2
Find y such that -5*y**4 - 290*y**3 - 280*y**2 + 290*y + 285 = 0.
-57, -1, 1
Factor -2*b**5 - 4*b**4 + 6*b**3.
-2*b**3*(b - 1)*(b + 3)
Determine c, given that 6*c**5 - 49*c**4 + 371*c**3/3 - 121*c**2 + 139*c/3 - 6 = 0.
1/3, 1, 2, 9/2
Factor -3*t**4 - 33*t**3 - 24*t**2 + 60*t.
-3*t*(t - 1)*(t + 2)*(t + 10)
Factor 38*b**2/13 + 602*b/13 - 96/13.
2*(b + 16)*(19*b - 3)/13
What is s in -s**5 + 5*s**4 + 17*s**3 - 21*s**2 = 0?
-3, 0, 1, 7
Factor -u**2/2 + 663*u + 1327/2.
-(u - 1327)*(u + 1)/2
Factor -9*g**3 - 57*g**2 - 18*g.
-3*g*(g + 6)*(3*g + 1)
Factor -2*x**2 - 64*x.
-2*x*(x + 32)
Solve -8*w**4/5 + 254*w**3/5 - 1704*w**2/5 - 5066*w/5 - 1156/5 = 0 for w.
-2, -1/4, 17
Find r such that r**3/3 - 5*r**2/3 - 22*r/3 + 56/3 = 0.
-4, 2, 7
Solve 5*r**3/2 + 58*r**2 - 97*r/2 - 12 = 0.
-24, -1/5, 1
Factor 4*h**3/7 + 16536*h**2/7 + 33060*h/7 + 16528/7.
4*(h + 1)**2*(h + 4132)/7
Factor 3*j**3/4 + 15*j**2 + 111*j/4 + 27/2.
3*(j + 1)**2*(j + 18)/4
Determine t so that -2*t**5/9 - 6*t**4 - 62*t**3 - 2690*t**2/9 - 1904*t/3 - 392 = 0.
-7, -6, -1
Factor -2*d**2/3 + 14*d - 136/3.
-2*(d - 17)*(d - 4)/3
Suppose 2*n**3/13 + 46*n**2/13 + 192*n/13 + 216/13 = 0. What is n?
-18, -3, -2
Suppose -3*l**2/2 - 279*l/2 - 405 = 0. What is l?
-90, -3
Find z, given that 5*z**4 - 90*z**3 - 995*z**2 + 2100*z + 22500 = 0.
-6, 5, 25
Factor -28*o**3 - 180*o**2 + 376*o + 192.
-4*(o - 2)*(o + 8)*(7*o + 3)
Suppose 2*z**4 - 34*z**2 + 72*z - 40 = 0. Calculate z.
-5, 1, 2
Factor -3*l**2/2 + 81*l/2.
-3*l*(l - 27)/2
Factor -l**4 - 12*l**3 + 243*l**2 + 518*l + 264.
-(l - 12)*(l + 1)**2*(l + 22)
Find f, given that -2*f**3/19 + 30*f**2/19 - 132*f/19 + 160/19 = 0.
2, 5, 8
Solve 5*p**2 - 5530*p - 5535 = 0 for p.
-1, 1107
Suppose -2*r**3 - 10*r**2 - 14*r - 6 = 0. Calculate r.
-3, -1
Let 4*l**5 - 24*l**4 + 4*l**3 + 96*l**2 - 80*l = 0. What is l?
-2, 0, 1, 2, 5
What is l in -14*l**3 - 220*l**2 - 832*l + 256 = 0?
-8, 2/7
Determine k, given that 3*k**3 - 33*k**2 - 3*k + 33 = 0.
-1, 1, 11
What is m in -21*m**2 - 132*m - 36 = 0?
-6, -2/7
Solve l**5/4 + l**4/4 - 3*l**3/4 - l**2/4 + l/2 = 0 for l.
-2, -1, 0, 1
What is q in 2*q**5/11 - 32*q**4/11 + 144*q**3/11 - 108*q**2/11 - 54*q + 972/11 = 0?
-2, 3, 9
Factor 2*m**4/13 + 1112*m**3/13 + 152320*m**2/13 - 627200*m/13.
2*m*(m - 4)*(m + 280)**2/13
Factor 4*y**2 + 20*y - 24.
4*(y - 1)*(y + 6)
Determine z so that -4*z**2 - 1128*z - 79524 = 0.
-141
Factor -32*v**5 - 132*v**4 + 1656*v**3 - 2916*v**2.
-4*v**2*(v - 3)**2*(8*v + 81)
Let 6*v**4 - 34*v**3 - 108*v**2 - 32*v = 0. Calculate v.
-2, -1/3, 0, 8
Let -x**3/8 + 393*x**2/8 - 4851*x + 4802 = 0. What is x?
1, 196
Let d**4 - 13*d**3 - 3*d**2 + 41*d - 26 = 0. Calculate d.
-2, 1, 13
Suppose -g**2/10 + 311*g/10 - 31 = 0. Calculate g.
1, 310
Factor q**5 + 4*q**4 + 6*q**3 + 4*q**2 + q.
q*(q + 1)**4
Determine r so that -4*r**4 + 28*r**3 + 156*r**2 + 212*r + 88 = 0.
-2, -1, 11
Factor 75*l**3 - 144*l**2 - 12*l.
3*l*(l - 2)*(25*l + 2)
Factor 2*h**2/3 - 176*h/3 + 344/3.
2*(h - 86)*(h - 2)/3
Let 3*f**2/2 - 3*f + 3/2 = 0. What is f?
1
Factor 3*h**2 - 75*h + 342.
3*(h - 19)*(h - 6)
Find f, given that f**3 + 11*f**2 - 4*f - 224 = 0.
-8, -7, 4
Solve -t**2/8 - 19*t/8 + 105 = 0.
-40, 21
What is u in -u**3/9 - 275*u**2/9 + 92*u/3 = 0?
-276, 0, 1
Factor -5*n**3 + 15*n**2 + 45*n + 25.
-5*(n - 5)*(n + 1)**2
Factor -4*c**2 - 328*c - 2880.
-4*(c + 10)*(c + 72)
Determine q so that 4*q**2 - 340*q - 1056 = 0.
-3, 88
Factor -5*i**2 + 177*i - 70.
-(i - 35)*(5*i - 2)
Suppose -22*a**2/9 + 526*a/9 - 56 = 0. What is a?
1, 252/11
Solve -3*b**4 - 30*b**3 - 39*b**2 + 180*b - 108 = 0.
-6, 1
Find p such that 11*p**5/5 - 483*p**4/5 + 868*p**3/5 + 612*p**2/5 - 1008*p/5 = 0.
-12/11, 0, 1, 2, 42
Find k such that k**5/3 - k**4/3 - 18*k**3 + 268*k**2/3 - 472*k/3 + 96 = 0.
-9, 2, 4
Factor -7*x**2/8 + 31*x/4 - 6.
-(x - 8)*(7*x - 6)/8
Suppose -3*u**2/7 - 24*u/7 - 48/7 = 0. Calculate u.
-4
Determine a so that 5*a**4 + 113*a**3/3 + 182*a**2/3 - 128*a/3 - 32/3 = 0.
-4, -1/5, 2/3
Factor 4*w**4 + 44*w**3 + 8*w**2 - 368*w - 480.
4*(w - 3)*(w + 2)**2*(w + 10)
Find d, given that 15*d**3 + 141*d**2 - 90*d = 0.
-10, 0, 3/5
Suppose -y**5/8 + y**3/2 - y**2/4 - 3*y/8 + 1/4 = 0. Calculate y.
-2, -1, 1
Factor 4*d**4 + 17*d**3 + 4*d**2.
d**2*(d + 4)*(4*d + 1)
Find i such that -4*i**4/3 - 16*i**3/3 + 4*i**2/3 + 16*i/3 = 0.
-4, -1, 0, 1
Suppose -6*f**2 + 57*f/2 + 15/2 = 0. Calculate f.
-1/4, 5
Let -5*v**5/2 + 5*v**4/2 + 45*v**3/2 - 65*v**2/2 - 20*v + 30 = 0. Calculate v.
-3, -1, 1, 2
Find g, given that -g**3 + 2*g**2 + 55*g - 200 = 0.
-8, 5
Factor -3*h**3/8 + 75*h/2.
-3*h*(h - 10)*(h + 10)/8
Find s such that -s**4 + 8*s**3 + 49*s**2 - 188*s + 132 = 0.
-6, 1, 2, 11
Solve 5*p**3 + 250*p**2 + 1885*p + 1640 = 0.
-41, -8, -1
Suppose -b**4 - 11*b**3 - 18*b**2 + 56*b + 64 = 0. Calculate b.
-8, -4, -1, 2
Determine n, given that -5*n**5 - 10*n**4 + 60*n**3 + 90*n**2 - 135*n = 0.
-3, 0, 1, 3
Suppose 39*d**2/7 - 7806*d/7 + 1200/7 = 0. What is d?
2/13, 200
Suppose -2*f**5/5 - 42*f**4/5 - 112*f**3/5 + 472*f**2/5 + 192*f - 2176/5 = 0. Calculate f.
-17, -4, 2
Suppose -9*o**4/5 - 13*o**3/5 + 41*o**2/5 - 7*o/5 - 12/5 = 0. What is o?
-3, -4/9, 1
What is d in 2*d**4/7 + 18*d**3/7 - 30*d**2/7 - 106*d/7 - 60/7 = 0?
-10, -1, 3
Factor 2*l**3 + 10*l**2 + 14*l + 6.
2*(l + 1)**2*(l + 3)
What is w in -2*w**4 - 1692*w**3 - 359544*w**2 - 712336*w = 0?
-422, -2, 0
Let -b**4 - 56*b**3 + 305*b**2 = 0. Calculate b.
-61, 0, 5
Factor -3*t**2/4 + 1013*t/4 - 337/2.
-(t - 337)*(3*t - 2)/4
Find y such that 2*y**3 + 1156*y**2 + 167042*y = 0.
-289, 0
Factor -l**4/6 - 7*l**3/3 - 16*l**2/3 + 64*l/3.
-l*(l - 2)*(l + 8)**2/6
Let l**4/4 + 167*l**3/2 + 663*l**2/4 - 167*l/2 - 166 = 0. Calculate l.
-332, -2, -1, 1
Suppose 6*f**3/5 - 42*f**2/5 - 84*f - 624/5 = 0. What is f?
-4, -2, 13
Determine k, given that -2*k**3 + 5702*k**2 - 4066950*k + 4061250 = 0.
1, 1425
Let 3*z**3 + 279*z**2 - 570*z = 0. Calculate z.
-95, 0, 2
Determine x so that -2*x**4 - 1476*x**3 - 270842*x**2 + 546120*x - 273800 = 0.
-370, 1
Factor 2*p**2/11 + 18*p/11 - 104/11.
2*(p - 4)*(p + 13)/11
What is r in -r**2/3 + 13*r/3 + 10 = 0?
-2, 15
Let b**4 - 24*b**3 + 184*b**2 - 480*b + 400 = 0. What is b?
2, 10
Find d such that d**2/4 + 205*d - 821/4 = 0.
-821, 1
What is u in -675*u**3 - 2880*u**2 - 732*u - 48 = 0?
-4, -2/15
Solve -2*a**3/7 - 24*a**2 + 18*a/7 + 216 = 0 for a.
-84, -3, 3
Factor -5*z**2 - 66720*z - 222577920.
-5*(z + 6672)**2
Determine a, given that a**4 - 7*a**3/3 + 5*a**2/3 - a/3 = 0.
0, 1/3, 1
Solve 3*b**2 - 3*b - 6 = 0.
-1, 2
Let -4*g**3/3 + 520*g**2/3 - 1028*g/3 + 512/3 = 0. Calculate g.
1, 128
Solve 8*m**2 + 2244*m - 1124 = 0.
-281, 1/2
Find q, given that 20*q**3 - 245*q**2 - 500*q + 140 = 0.
-2, 1/4, 14
Suppose 2*w**3/13 - 16*w**2/13 - 8*w/13 + 64/13 = 0. What is w?
-2, 2, 8
Let 2*a**4/3 - 16*a**3/3 + 22*a**2/3 + 64*a/3 - 40 = 0. Calculate a.
-2, 2, 3, 5
Find k, given that 5*k**3 - 5*k**2 - 1530*k = 0.
-17, 0, 18
What is z in -z**2 + 102*z - 200 = 0?
2, 100
Determine q so that 2*q**4/9 + 184*q**3/9 - 1586*q**2/9 + 1400*q/9 = 0.
-100, 0, 1, 7
Solve 4*n**5 + 48*n**4 - 256*n**3 + 64*n**2 + 960*n - 1024 = 0.
-16, -2, 2
Solve -2*x**3 - 60*x**2 - 208*x = 0.
-26, -4, 0
Let -2*r**5/11 - 3150*r**4/11 - 1238734*r**3/11 + 1245038*r**2/11 + 1238736*r/11 - 1241888/11 = 0. What is r?
-788, -1, 1
Factor 2*x**3/5 - 44*x**2 + 6264*x/5 - 11664/5.
2*(x - 54)**2*(x - 2)/5
Determine j so that j**2/4 - 57*j/4 + 14 = 0.
1, 56
Factor -4*l**2/3 - 116*l/3 - 72.
-4*(l + 2)*(l + 27)/3
Factor -2*o**2/3 + 14*o/3 + 20.
-2*(o - 10)*(o + 3)/3
Find c, given that 4*c**2 + 204*c + 2376 = 0.
-33, -18
Find t such that -2*t**4 + 282*t**3 + 2670*t**2 + 4486*t + 2100 = 0.
-7, -1, 150
Factor -4*k**3 + 8*k**2.
-4*k**2*(k - 2)
Solve -o**2/5 - o + 14/5 = 0 for o.
-7, 2
Let 436*o**3 - 40*o**2 = 0. Calculate o.
0, 10/109
Find j, given t
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{
"pile_set_name": "DM Mathematics"
}
|
Let p be (1 + -2)*-5 + (-178)/(-89). What is the highest common divisor of p and w?
7
Let c(g) = g**2 - 7*g - 11. Let p = 21 - 12. Let z be c(p). Calculate the highest common divisor of 1 and z.
1
Let p(o) = o**3 + 6*o**2 + 6*o. Let m be (-6)/(-18) - (-39)/(-9). Let z be p(m). Calculate the greatest common divisor of 104 and z.
8
Let d be (1/3)/((-33540)/(-3726) + -9). What is the greatest common divisor of d and 299?
23
Suppose a + 1225 = 2*w, 33*a = 2*w + 38*a - 1255. What is the highest common factor of 45 and w?
15
Suppose -100*o + 86*o + 7714 = 0. What is the greatest common factor of 19 and o?
19
Let h be 1 + 18 + -1 + -2. Let r(g) = g**3 + 9*g**2 - 21*g + 27. Let o be r(-11). Calculate the greatest common divisor of h and o.
16
Let a be (-2640)/(-2 + 11/22). Calculate the highest common divisor of a and 11.
11
Let q = 15 - 14. Let f be 118/2 + 0 + q. Let h = 75 + -51. Calculate the greatest common factor of f and h.
12
Suppose 2*s + 4*d = 180, 3*d = 2*s - 5*s + 261. Let c be 1*(s + 6/(-2)). Calculate the highest common divisor of 9 and c.
9
Let n(k) = -k + 5. Let t be n(4). Let z be (-57)/(-12) + t/4. Calculate the greatest common divisor of z and 35.
5
Suppose 0 = 4*h + 3*k - 255, 4*k + 140 = 5*h - 140. Suppose -2*w = -795 - 705. Suppose -w = 4*z - 9*z. Calculate the greatest common divisor of z and h.
30
Suppose -112 = 6*r + r. Let a be (-90)/(-3)*(2 + r/12). What is the greatest common divisor of a and 60?
20
Let u = -513 + 599. What is the highest common divisor of 1376 and u?
86
Let k = 222 - 30. What is the highest common divisor of 16 and k?
16
Let k = 660 - 642. What is the greatest common factor of k and 306?
18
Let x = 59 + -36. Let d(h) = 7*h**2 + 17*h + 25. Let r be d(-5). Calculate the highest common factor of x and r.
23
Let v(r) = 2*r**2 + r - 4. Let b be v(-3). Let t = -70 + 81. What is the highest common factor of b and t?
11
Let t(n) = n**3 - 16*n**2 + 14*n + 17. Let j be t(15). Let d be (91/(-78))/(j/(-12)). Suppose -m - 189 = -4*m. What is the highest common factor of d and m?
7
Let v be (-2)/1*(-493)/34. Suppose 6*t = -v + 113. Calculate the greatest common divisor of 14 and t.
14
Let s be 3*1912/204 + 6/(-51). What is the highest common factor of s and 140?
28
Suppose -5*h - s = -318 - 1073, h = 5*s + 273. Suppose -4*x + 42 = -h. Calculate the greatest common factor of 10 and x.
10
Let o(r) = 2*r**3 - 8*r**2 - 30*r + 31. Let z be o(10). Calculate the highest common factor of z and 98.
49
Let d = 5 - -3. Suppose -4*u - 5*h - 24 = -98, -3*h = 2*u - 38. What is the greatest common divisor of u and d?
8
Let l = 2397 - 2392. Suppose 3*j - 11 = w, 0*j = -5*j - 4*w + 41. What is the highest common divisor of l and j?
5
Let f = -10 + 12. Let s be (-3)/(-2)*f - 10. Let z be (s + 22)*(-96)/(-10). What is the greatest common factor of z and 18?
18
Let x be 21/(-4)*1672/(-57). Calculate the highest common divisor of x and 98.
14
Let m(s) = -s**3 - 14*s**2 + 17*s + 51. Let d be m(-15). Calculate the greatest common factor of d and 63.
21
Let u = 26 + -21. Suppose -u*m = -4*m - 32. Calculate the greatest common divisor of m and 4.
4
Suppose -10*v = -13*v + 30. Let c(w) = -w**3 + 9*w**2 + 12*w - 3. Let d be c(v). Let o = -86 + 273. What is the highest common factor of d and o?
17
Let l be (-1897)/(-49) + (-2)/(-7). Let g be (l/(-6)*2)/(-1). Calculate the greatest common factor of 52 and g.
13
Suppose -2*q = -3*w + 67, 4*q = -0*w + w - 19. Suppose -507 = 2*v - 5*v. Let m = v + -8. Calculate the highest common divisor of m and w.
23
Suppose 5*q - 17 = 23. Let j = q + -3. Let w be 5/j*(-20)/(-2). Calculate the highest common divisor of w and 30.
10
Let m be (-4411)/(-143) - 2/(-13). Suppose -9*k + 660 = -177. What is the greatest common divisor of k and m?
31
Let m be (1071/105)/(((-9)/(-10))/3). Calculate the highest common factor of 68 and m.
34
Let b be 24/(-108) + (-209)/(-9). Let w be (-4)/(-18) + (-238)/18. Let t = w + b. Calculate the highest common factor of t and 110.
10
Let f = -13 + 52. Suppose 4*o - 376 = -5*q + 2*q, 3*o - 285 = -3*q. What is the highest common factor of o and f?
13
Let a be (-5 - 8) + 5 - -327. What is the highest common divisor of 44 and a?
11
Suppose 20 = i + 5. Suppose 0 = -3*n - 4*k + i, -4*k + 0*k - 25 = -5*n. Suppose 0*r - 425 = -n*r. What is the greatest common factor of 34 and r?
17
Let o = -8 - -21. Suppose 12*n - 9*n - 36 = -3*r, 2*n = -2. Calculate the greatest common divisor of r and o.
13
Suppose 745 = 5*c + 5*w, -2*w - 1 = 5. Let b be c + -11 + (2 - 0) + 1. Calculate the greatest common factor of b and 6.
6
Suppose -9*v + 1380 - 327 = 0. Calculate the greatest common factor of v and 18.
9
Suppose 3*z + 3*l - 9 = 0, -3*z = z + l - 27. Let r be 785/z - 8/64. Calculate the highest common factor of r and 14.
14
Suppose -3*g - 2*a + 16 = -0*a, 12 = -3*a. Suppose -4*m - 72 = 6*d - g*d, 25 = -5*m. Calculate the highest common divisor of 208 and d.
26
Let u be (1 - (-3)/(-6))*-6. Let r be u*3/((-9)/5). Suppose 4*d - r*f = 27, 4*f + 10 = -2*d + 30. Calculate the greatest common factor of d and 40.
8
Suppose 3*w - 10 - 2 = 0. Suppose 92 = w*s + 28. What is the highest common factor of 16 and s?
16
Suppose 3*y - 2*y - 4*g - 336 = 0, 0 = -2*y + 3*g + 652. Calculate the greatest common divisor of y and 5.
5
Let w = 138 - 150. Let g be w/(-9)*87/2. Calculate the highest common divisor of 406 and g.
58
Let m(i) = -i**3 - 17*i**2 - 18*i - 16. Let s be m(-16). Let c = 16 - 8. What is the highest common factor of c and s?
8
Let f = 19 - 11. Suppose -10*d + 8 = -f*d. What is the greatest common divisor of 32 and d?
4
Let c = -75 - -180. Let i(v) = v**2 - 4*v - 18. Let x be i(-6). Suppose 12*t - 10*t = x. Calculate the greatest common factor of t and c.
21
Suppose 14*n - 64 - 664 = 0. Let d(r) = -7*r - 1. Let o be d(-2). What is the greatest common divisor of o and n?
13
Suppose -3*r = 2*r + 35. Let g = r + 16. Suppose 0 = -4*p + 3*p + 72. What is the greatest common divisor of p and g?
9
Let n = 645 - 393. Let v be ((-4)/3)/(9/(-1458)*6). Calculate the highest common divisor of n and v.
36
Let f(n) = 7*n - 2. Let k be f(2). What is the greatest common factor of k and 6?
6
Let h = 8 + -19. Let i = -23 - h. Let j be 210/i*(-8)/10. Calculate the greatest common divisor of j and 154.
14
Suppose g - 2*x = 78, -12 = -g - 5*x + 101. Calculate the highest common factor of g and 198.
22
Suppose 165 = -2*k + 5*k. Let i be ((-44)/(-3))/(96/144). What is the greatest common divisor of i and k?
11
Suppose 1029 = -3*a + 288. Let i = 359 + a. Calculate the greatest common divisor of 14 and i.
14
Let x(l) = l**3 - 2*l**2 - 3*l - 2. Let z be x(3). Let f be (-11)/(-33) - z/(-6). Suppose f*m = -2*m + 176. Calculate the highest common divisor of 11 and m.
11
Let w be ((-84)/(-18))/((5/6)/(-5)). Let p = -24 - w. What is the greatest common divisor of p and 16?
4
Suppose 0 = 227*w - 301*w + 11100. Calculate the greatest common divisor of w and 90.
30
Suppose 2*y - 3*y + 2 = 0. Suppose -y*k = -0*k. Suppose k = 4*w - 7*w + 18. Calculate the greatest common factor of 2 and w.
2
Suppose 9*o - 690 = 183. Let z = -53 + o. What is the highest common factor of 11 and z?
11
Let w = 616 + -434. Let p(z) = -115*z. Let a be p(-1). Suppose 4*q - 7*r = -2*r + 129, -5*q - 3*r + a = 0. What is the highest common divisor of w and q?
26
Let m be -18*((-14)/3)/((-12)/(-9)). Calculate the greatest common factor of 9 and m.
9
Let i = 1414 - 1390. What is the highest common factor of 48 and i?
24
Let g = 1 - -18. Suppose 3*t - g = 23. What is the greatest common factor of 154 and t?
14
Let b(c) be the second derivative of 19*c**3/3 + 2*c**2 - 5*c. Let s be b(1). Calculate the greatest common factor of 28 and s.
14
Let i(o) = -o**3 + o**2 + 33*o + 38. Let t be i(-5). What is the greatest common factor of t and 253?
23
Let l = 135 - 87. What is the highest common factor of l and 3?
3
Let l be 4/(-14) + 10272/(-112). Let h = -36 - l. Let w = h - 40. What is the highest common factor of w and 32?
16
Let p be (1 - -33) + 2/(-9)*9. Suppose 5*g = g + 1408. What is the greatest common divisor of p and g?
32
Let s = 86 - 46. Suppose -4*v = -2*k + 5*k - 385, -2*k = -5*v + 510. What is the greatest common factor of v and s?
20
Let l be 0/(-3)*(-4 - -1)/(-6)
|
{
"pile_set_name": "DM Mathematics"
}
|
- 12 = 3*z. Let g be j(o). Is 5/5 + (g - 1) composite?
False
Is 5855*(7/(-21))/(1/(-3)) prime?
False
Let f = -5079 - -8022. Suppose o + 2*o - 4*t = f, -3949 = -4*o - 3*t. Is o a prime number?
False
Let s = 10 + -8. Suppose 0 = -i - 4*u + 515, 3*i - 453 = s*u + 1148. Suppose 2*r = -3*b + r + i, 896 = 5*b - 2*r. Is b a prime number?
False
Let p(s) = -s**3 + 10*s**2 - 10*s + 9. Let t be p(9). Suppose -12*x + 9*x = t. Suppose x = -5*w - 3*q + 4520, -4*q + 36 + 3572 = 4*w. Is w prime?
True
Let n(s) = 4*s + 0*s - 3*s. Let i(a) = -2*a**2 + 8*a + 8. Let u(c) = -i(c) + n(c). Is u(11) a prime number?
True
Suppose -z + 1974 - 71 = 3*l, 2*z - 3806 = -2*l. Is z prime?
False
Is (-1 + 3 + -1)*172038/106 a prime number?
False
Let w be (-1)/(4 - 51/12). Suppose 2*j + 3*t = 531, 2*t - w = -2*t. Let z = j + -130. Is z a prime number?
False
Let x be 207/21 - 2 - (-1)/7. Suppose -10038 = 2*q - x*q. Is q a composite number?
True
Suppose 5*d = u + 1684, -2*u = -2*d - u + 673. Is d a prime number?
True
Let t(b) = b**3 + 19*b + 17. Is t(8) prime?
False
Suppose -46*d + 53*d = 380905. Is d a composite number?
True
Suppose -7*d + 12*d - 1621 = 3*b, 0 = 3*d + 12. Let y be (2/(-4))/(2/1024). Let k = y - b. Is k composite?
True
Let h = -24 - -17. Is -890*(h/2 + 3) a composite number?
True
Let p(z) = z**3 - 8*z**2 - z + 8. Let r be p(8). Suppose r = 3*n - 6*n + 885. Is n composite?
True
Suppose -f - 1058 - 13452 = -2*k, 5*k - 3*f = 36275. Is k a prime number?
False
Let v = 17 + -12. Suppose -v*f + 316 = 2*j, 5*j - 4*f + f = 821. Suppose j = 4*p - 5*t, -343 + 118 = -5*p + 2*t. Is p a composite number?
False
Suppose 0 = -5*w - 4*b + 1129 + 4070, 2*w - b - 2077 = 0. Is w a composite number?
False
Suppose -9 = 3*b, -11*j + 13*j + 3*b = 1133. Is j composite?
False
Let y(m) = -104*m**2 + 7*m + 15. Let j be y(6). Is 12/(-3) + j/(-1) a prime number?
False
Let n(m) = 477*m**2 + 2*m + 344. Is n(-21) a prime number?
True
Let d(v) = -390*v - 291*v + 79*v + 3. Is d(-4) prime?
True
Let t be ((-5)/(-2))/((-10)/(-20)). Suppose 2306 = -t*x + 6501. Is x a composite number?
False
Let o(k) = 4*k**3 - 4*k**2 - 11*k - 5. Is o(6) prime?
False
Suppose 15*v - 28 = 8*v. Suppose v*x = -0*d + 5*d + 7184, -1817 = -x - 4*d. Is x a prime number?
True
Let b(t) = -2*t**3 + 7*t**2 + 4*t - 4. Let i be b(4). Is -7558*(-3 + 3 + 2/i) a prime number?
True
Let r(c) = c + 17. Let f be r(-8). Is (-6)/f*(-582)/4 prime?
True
Let p be 0 - ((-10)/(-3))/(4/(-30)). Suppose 3*q = p*q - 27566. Is q prime?
False
Let v(j) = 26*j**2 + j - 8. Suppose 9*w = 7*w - 14. Is v(w) a composite number?
False
Let f(a) = -5*a - 9. Let l(b) = -b - 1. Let t(d) = f(d) - 4*l(d). Let o be t(-5). Suppose 0 = -o*w + 3*w - 537. Is w prime?
True
Suppose k - 2*f = 3*k - 202, -3 = -f. Suppose 0 = 2*i - 5*t - k, -3*i + 6*t + 133 = 2*t. Let w = 46 + i. Is w composite?
True
Suppose -2*j - 5*f - 14129 = -6*j, 3*f = j - 3534. Suppose -3*i = -5*g - 2585 - 946, 3*i - 2*g = j. Is i a prime number?
False
Let f = -6283 + 10744. Let c = 7556 - f. Is c composite?
True
Suppose 0 = -7*t - 7*t + 504. Suppose 34 + t = 7*r. Is r a composite number?
True
Let j(s) = 284*s**2 + 2*s - 9. Is j(-2) composite?
False
Let m(t) = 1046*t - 3. Is m(1) a composite number?
True
Let u be 119/9 + 6/(-27)*1. Let p be 0/((-2)/(-1)) - -8. Let l = p + u. Is l prime?
False
Is ((-41)/(-123))/((-2)/(-112686)) composite?
True
Suppose -7*c + 175294 + 12453 = 0. Is c composite?
False
Let v = 754 - 305. Is v a composite number?
False
Suppose 0 = 12*o - 220 + 52. Let c = o + 0. Is c a prime number?
False
Is (70/(-350))/(1/(-64205)) a prime number?
True
Suppose -1701 = 9*j + 15075. Let i = 3506 + j. Is i composite?
True
Is 6/9 - (26720/(-12))/2 composite?
True
Let x(g) = -g**2 - 4*g - 3. Let f be x(-3). Suppose -v - 1 + 7 = f. Is 865/15 - v/9 a composite number?
True
Is ((-4)/5 - -1) + 469872/90 prime?
False
Suppose -4*l - 10 = 38. Let q be 6/7*(l + 19). Let z = 25 - q. Is z prime?
True
Let t = -754 - -1327. Is t composite?
True
Let h(d) = 38*d**3 - 6*d**2 + 5*d - 1. Let z be h(4). Let c be (-9)/3 - z/(-5). Let n = -147 + c. Is n prime?
False
Suppose 77*p = 81*p - 5*t - 2136, -1038 = -2*p - 5*t. Is p a prime number?
False
Let t(o) = 9*o**2 - 7*o - 7. Let c be t(6). Suppose -3*w = 2*h - c, -w + 668 = 7*h - 2*h. Is h a composite number?
True
Suppose -10668 = 2*t - 3*t - 5*y, 0 = 3*t + 5*y - 31994. Is t a prime number?
True
Let p(w) = -w**2 + 7*w + 7. Let r(n) = 3*n + 12. Let q be r(-5). Let s = q - -9. Is p(s) composite?
False
Let f = -3507 - -1405. Is f/(-8) + 15/60 composite?
False
Suppose -s - 8 = 4. Let l(x) = -353*x + 13. Is l(s) prime?
False
Let q(b) = -b - 5. Let p be q(-8). Let t(n) = 4*n**3 + 3*n**2 + n - 5. Is t(p) composite?
True
Suppose 4*g - 9*g - 5*g = 0. Suppose -2*h - 3*h - 62 = -2*s, 5*s - 3*h - 117 = g. Is s a composite number?
True
Let g = 65763 + -36542. Is g prime?
True
Is (-2)/4 + 59229/6 prime?
True
Is (23/(-8) - -3) + (-71991)/(-8) prime?
True
Let t be (27/36)/(2/(-8)). Let o be (-4)/t*(-42 + -3). Let h = 191 - o. Is h prime?
True
Let b(o) = 7*o**3 - 3*o**2 + 3*o + 5. Suppose 4*i - 12 - 4 = 0. Let h be (7 + -3)*2 - i. Is b(h) a composite number?
True
Let d(n) = 308*n**2 - n. Let y be d(1). Is y/1 - 4/20*0 a composite number?
False
Let v(d) = -34*d + 27. Is v(-19) prime?
True
Suppose 27*q - 25*q = 10, f + 4*q = 1834. Is f a composite number?
True
Let g(y) = 16*y**3 - 2*y**2 - 7*y + 4. Suppose 0*j = j - 15. Suppose -15*u = -20*u + j. Is g(u) a composite number?
False
Suppose -4*w = -4*u + w + 30, 42 = 4*u + w. Suppose -3*b + u = -5*b, -2*b + 1445 = 3*h. Is h composite?
True
Let y = 30692 - -17085. Is y a composite number?
False
Is (-3 - -4) + -5 + (2 - -165) a composite number?
False
Let m(r) = r**3 + 6*r**2 + 3*r + 1. Let l be m(-3). Let y = l - -172. Is y prime?
True
Suppose 0 = -83*j + 77*j + 79770. Is j a prime number?
False
Let s be 77/33 + 1/(-3). Suppose -14 = -4*h + s*r - 96, 5*h = r - 95. Let d = h - -101. Is d a prime number?
True
Suppose 18*c - 38291 = 2839. Is c a composite number?
True
Suppose -5*p - 5 = 0, 10 = m - 5*p + 1. Let v(z) = 16*z + 3. Let h be v(m). Suppose -h = -d + 24. Is d a composite number?
True
Let b be (13/26)/((-2)/(-12)). Is -2 + 1214 + b + -4 prime?
False
Let k(u) = -134*u - 117. Is k(-5) a composite number?
True
Let z(c) = 184*c - 127. Is z(29) a composite number?
False
Suppose 0 = -2*r + 2*s - 56, 3*s = r + 39 - 3. Let l = -17 - r. Is l composite?
False
Suppose 2*s - 10 = -3*c, -5*s - 4*c + 0*c = -32. Let a(j) = 2*j - 3. Let z be a(s). Is (-2332)/(-6) + z/39 prime?
True
Let n(w) = -w**2 - 6*w + 11. Let p be n(2). Suppose -5*l - 4*i + 570 = 0, i + 0*i = 0. Let y = l + p. Is y a composite number?
False
Suppose 4*u = 4*q + 2164, 5*u - 4*q - 4005 + 1300 = 0. Is u a composite number?
False
Let t(q) = 42*q**2 - 14*q + 57. Is t(7) a composite number?
False
Suppose y = 4*t - 1279, -72*y + 15 = -77*y. Is t a prime number?
False
Suppose 5*d + 2*c = 70149, -2*d + 5440 = 4*c - 22626. Is d prime?
True
Let i(o) = 3*o**2 - 13*o + 18. Let k be i(9). Let a = k + 118. Is a prime?
False
Suppose 3*s - 6*s = 0, 2*w - 2988 = -s. Suppose 2*n - 1506 = 2*c, 0 = -2*c + 4*c + n + w. Let l = 1962 + c. Is l composite?
False
Is (-22)/231 - (-1909870)/42 composite?
True
Let z = 5008 + 8953. Is z composite?
True
Suppose 333 + 551 = 4*j. Suppose 2*b = 2335 - j. Is b prime?
False
Let k(l) be the second derivative of l**5/20 - 2*l**4/3 + 4*l**2 + 9*l. Is k(11) a composite number?
True
Let j(y) = -y**3 + 16*y**2 - 2*y + 4391. Is j(0) composite?
False
Suppose 4*n = 5*m - 2887, -2*m - 3*m + 3*n = -2884. Suppose 3*x - m = b, -4*x + 3*b = -2*x - 388. Suppose 0 = -5*y + 64 + x. Is y prime?
False
Let k(u) = 9*u**2 - 16*u + 23. Let p be k(-13). Suppose 9*a - p - 1677 = 0. Is a a prime number?
False
Suppose 3*d - 4*v = 17, -5*v = 4*d - v - 4. Suppose -d*q + 1290 = -q - 4*b, 1929 = 3*q - 3*b. Is q prime?
True
Suppose -2*l - 4 = -3*l - 3*n, n = l. Let u(f) = 184*f**2 - 3*f - l + 0*f + 2*f - f. Is u(-1) a prime number?
False
Let r = 41 + -40. Is r*1*(152 + -3) a prime number?
True
Let v(j) = 14 - 5*j - j + 3*j - 27 + 3*j**2. Is v(-5) a prime number?
False
Suppose s = -4*b + 19, -3 + 9 = b - s. Suppose 0 = 2*h - b*z - 497, -135 = 5*h - z - 1389. Suppose 3*o - 5*t + 4 = h, -o = -3*t
|
{
"pile_set_name": "DM Mathematics"
}
|
t replacement from {b: 1, o: 1, s: 1}. What is prob of picking 1 b and 1 o?
1/3
Three letters picked without replacement from {o: 2, e: 1, z: 1, s: 2, u: 1}. What is prob of picking 2 o and 1 s?
2/35
Three letters picked without replacement from {q: 1, h: 1, k: 2, g: 5}. Give prob of picking 1 g, 1 k, and 1 h.
5/42
Calculate prob of picking 2 i, 1 n, and 1 p when four letters picked without replacement from iponbboibbpibpbieo.
1/170
Two letters picked without replacement from etsyqtm. What is prob of picking 1 q and 1 y?
1/21
What is prob of picking 2 u when two letters picked without replacement from {v: 2, u: 4, a: 6}?
1/11
What is prob of picking 1 i and 1 f when two letters picked without replacement from igzzif?
2/15
What is prob of picking 2 a and 2 u when four letters picked without replacement from {u: 2, i: 5, a: 3}?
1/70
Three letters picked without replacement from pptppptpttp. Give prob of picking 3 p.
7/33
What is prob of picking 2 e and 1 h when three letters picked without replacement from {h: 3, e: 7}?
21/40
What is prob of picking 2 h and 1 p when three letters picked without replacement from pghhgghg?
3/56
Three letters picked without replacement from zzxfdzvdvzd. Give prob of picking 1 d, 1 z, and 1 v.
8/55
Three letters picked without replacement from {u: 3, f: 9}. Give prob of picking 2 f and 1 u.
27/55
Calculate prob of picking 1 y and 1 o when two letters picked without replacement from soyywoooosyos.
3/13
What is prob of picking 1 q, 1 b, and 1 u when three letters picked without replacement from {q: 2, u: 13, b: 3}?
13/136
Two letters picked without replacement from rhdrzzv. What is prob of picking 1 v and 1 d?
1/21
Calculate prob of picking 2 v when two letters picked without replacement from bbbvbbbvbbvbbbbbvb.
2/51
Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, x: 10}.
6/91
Calculate prob of picking 3 m when three letters picked without replacement from jmmjoummu.
1/21
Two letters picked without replacement from {h: 1, q: 4, t: 4, r: 3, u: 1, f: 2}. Give prob of picking 1 t and 1 h.
4/105
Four letters picked without replacement from {g: 2, q: 3, b: 4, l: 1, y: 3, k: 3}. Give prob of picking 1 l, 1 k, 1 b, and 1 q.
9/455
Two letters picked without replacement from pzpjjzpj. Give prob of picking 2 p.
3/28
Two letters picked without replacement from {q: 17, f: 3}. What is prob of picking 2 q?
68/95
Two letters picked without replacement from ntltkn. Give prob of picking 1 l and 1 n.
2/15
What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, o: 1, c: 1, r: 1, f: 1, b: 2}?
1/21
Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {i: 3, m: 4, e: 1, v: 1, b: 7}.
1/30
Two letters picked without replacement from {y: 1, k: 11}. What is prob of picking 1 k and 1 y?
1/6
Two letters picked without replacement from {a: 1, t: 1, j: 1, n: 1, b: 5}. Give prob of picking 1 b and 1 t.
5/36
Three letters picked without replacement from wwwccjwnzwonccj. Give prob of picking 2 w and 1 j.
4/91
Two letters picked without replacement from {o: 1, f: 2, b: 1}. What is prob of picking 1 o and 1 f?
1/3
Calculate prob of picking 1 m, 1 a, and 1 u when three letters picked without replacement from mmazzu.
1/10
Two letters picked without replacement from {z: 1, v: 3, c: 7, a: 7, y: 1}. Give prob of picking 1 c and 1 a.
49/171
Three letters picked without replacement from iinnhihahaini. Give prob of picking 1 i and 2 n.
15/286
Two letters picked without replacement from vkvvk. What is prob of picking 2 k?
1/10
Three letters picked without replacement from {o: 3, x: 1, f: 2, g: 1}. Give prob of picking 1 x, 1 g, and 1 o.
3/35
Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 2, w: 6, h: 2, g: 10}.
6/95
What is prob of picking 2 q and 2 f when four letters picked without replacement from {j: 1, f: 2, q: 2, n: 1}?
1/15
Two letters picked without replacement from wmqmwuqko. Give prob of picking 1 o and 1 q.
1/18
What is prob of picking 2 t when two letters picked without replacement from {g: 9, t: 3, b: 4}?
1/40
Three letters picked without replacement from {n: 3, t: 3}. Give prob of picking 2 t and 1 n.
9/20
What is prob of picking 2 v when two letters picked without replacement from {t: 5, v: 8}?
14/39
Three letters picked without replacement from cccfcwfccypffccy. Give prob of picking 2 f and 1 w.
3/280
Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, e: 3}.
7/15
Two letters picked without replacement from {q: 5, i: 5, x: 1, c: 1, f: 4, n: 1}. What is prob of picking 2 q?
5/68
Calculate prob of picking 1 p and 1 u when two letters picked without replacement from xxupm.
1/10
What is prob of picking 1 y and 1 m when two letters picked without replacement from {m: 6, y: 2}?
3/7
What is prob of picking 2 y, 1 b, and 1 f when four letters picked without replacement from frzlyylzbfzzrllrflzr?
1/1615
What is prob of picking 1 i and 1 r when two letters picked without replacement from {g: 2, r: 1, o: 2, b: 1, i: 1}?
1/21
Calculate prob of picking 1 b and 2 h when three letters picked without replacement from bhbbbhbbbbbbbbbbhh.
7/68
Three letters picked without replacement from {f: 4, a: 6, r: 2}. Give prob of picking 1 a and 2 r.
3/110
What is prob of picking 3 s when three letters picked without replacement from {o: 2, m: 4, w: 4, s: 5}?
2/91
Three letters picked without replacement from lllzlqlllll. What is prob of picking 1 q and 2 l?
12/55
Four letters picked without replacement from {p: 4, j: 6, k: 4, a: 1, e: 1, h: 3}. Give prob of picking 2 k, 1 h, and 1 a.
3/646
Two letters picked without replacement from {q: 5, g: 8, b: 5}. What is prob of picking 1 q and 1 b?
25/153
Two letters picked without replacement from {m: 7, j: 2}. What is prob of picking 2 j?
1/36
Three letters picked without replacement from {k: 3, b: 1, d: 3, i: 3}. Give prob of picking 2 k and 1 i.
3/40
Two letters picked without replacement from jjeujjejyjyjeujjjyj. What is prob of picking 2 j?
55/171
Four letters picked without replacement from warrraa. What is prob of picking 3 r and 1 w?
1/35
Four letters picked without replacement from glgggggglggglggggglg. Give prob of picking 1 l and 3 g.
448/969
Two letters picked without replacement from zmmhwhwmmemmcwwwc. What is prob of picking 1 e and 1 z?
1/136
What is prob of picking 1 a and 1 o when two letters picked without replacement from {i: 2, a: 7, e: 1, o: 10}?
7/19
Calculate prob of picking 4 y when four letters picked without replacement from yiymiyyiyymyyi.
10/143
Three letters picked without replacement from {o: 2, u: 3, x: 12}. What is prob of picking 3 x?
11/34
Three letters picked without replacement from zzfwzzmwzmwzdmfznw. What is prob of picking 1 w and 2 f?
1/204
Four letters picked without replacement from {l: 1, c: 3, y: 5, i: 2, f: 5}. What is prob of picking 1 y, 2 c, and 1 f?
15/364
Four letters picked without replacement from gjtjjjfmjt. Give prob of picking 1 g, 2 j, and 1 t.
2/21
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from mccbbbbcbc.
4/9
What is prob of picking 1 e and 1 n when two letters picked without replacement from nmkxvevevvmnmee?
8/105
Three letters picked without replacement from uwqqwppppspuwpq. What is prob of picking 2 q and 1 w?
9/455
Calculate prob of picking 3 n when three letters picked without replacement from nnnnmnm.
2/7
Three letters picked without replacement from {j: 9, i: 10}. Give prob of picking 2 i and 1 j.
135/323
Calculate prob of picking 1 k and 3 n when four letters picked without replacement from knnaaannaanaanaana.
7/612
Two letters picked without replacement from fshs. What is prob of picking 2 s?
1/6
Two letters picked without replacement from {t: 1, r: 1, p: 2, u: 2, s: 7, n: 2}. What is prob of picking 1 p and 1 r?
2/105
Two letters picked without replacement from tvtdttddttddtttv. What is prob of picking 1 d and 1 v?
1/12
Calculate prob of picking 1 k, 2 s, and 1 d when four letters picked without replacement from ssssddddkjsss.
84/715
Two letters picked without replacement from iiiisfidifisissi. What is prob of picking 1 s and 1 i?
3/10
F
|
{
"pile_set_name": "DM Mathematics"
}
|
cking 1 r, 1 h, and 1 q when three letters picked without replacement from {r: 9, q: 6, j: 1, c: 1, h: 1, k: 2}?
9/190
Calculate prob of picking 2 e when two letters picked without replacement from {r: 4, u: 4, d: 3, e: 3, p: 1, i: 5}.
3/190
Calculate prob of picking 2 l when two letters picked without replacement from cdcvll.
1/15
What is prob of picking 2 p when two letters picked without replacement from {y: 10, p: 10}?
9/38
Two letters picked without replacement from {h: 1, c: 2}. What is prob of picking 1 c and 1 h?
2/3
What is prob of picking 2 y, 1 v, and 1 z when four letters picked without replacement from uyuyvzuyvuvycc?
18/1001
Four letters picked without replacement from hztttztuyh. Give prob of picking 2 z, 1 y, and 1 u.
1/210
Two letters picked without replacement from yjjvjjmyj. Give prob of picking 1 v and 1 m.
1/36
Two letters picked without replacement from qdqdllqqdlqldlll. Give prob of picking 2 l.
7/40
Calculate prob of picking 2 z, 1 i, and 1 v when four letters picked without replacement from zqzvzizzlqooiliqzz.
7/340
Calculate prob of picking 3 k when three letters picked without replacement from {a: 4, k: 10}.
30/91
Three letters picked without replacement from uuupuuupupupuuup. Give prob of picking 3 p.
1/56
Two letters picked without replacement from {l: 9}. What is prob of picking 2 l?
1
Three letters picked without replacement from {n: 1, m: 1, u: 1, o: 1, f: 4}. What is prob of picking 1 n and 2 f?
3/28
Calculate prob of picking 2 d when two letters picked without replacement from {m: 2, d: 6, l: 5}.
5/26
Three letters picked without replacement from {z: 10, u: 1, m: 9}. Give prob of picking 3 z.
2/19
Two letters picked without replacement from {h: 1, j: 1, y: 1}. Give prob of picking 1 j and 1 y.
1/3
Three letters picked without replacement from mvmlmlmlmfvlmmmmm. What is prob of picking 1 m and 2 l?
3/34
What is prob of picking 1 c, 2 v, and 1 y when four letters picked without replacement from {u: 1, v: 2, o: 2, y: 1, j: 1, c: 1}?
1/70
What is prob of picking 1 g, 1 x, and 1 s when three letters picked without replacement from {s: 1, k: 1, x: 1, g: 1, o: 1}?
1/10
What is prob of picking 1 x and 1 c when two letters picked without replacement from {f: 2, x: 4, c: 2}?
2/7
What is prob of picking 2 z and 1 b when three letters picked without replacement from {y: 6, z: 2, b: 7}?
1/65
What is prob of picking 1 j and 3 r when four letters picked without replacement from {j: 5, r: 14}?
455/969
Calculate prob of picking 2 u and 1 y when three letters picked without replacement from {q: 1, u: 2, y: 1, w: 1, f: 2, s: 1}.
1/56
Four letters picked without replacement from {s: 2, t: 3, o: 1, m: 1}. Give prob of picking 3 m and 1 t.
0
Two letters picked without replacement from qqqqqqq. Give prob of picking 2 q.
1
Two letters picked without replacement from wenbwwwsw. Give prob of picking 1 w and 1 b.
5/36
Two letters picked without replacement from {g: 8, e: 3, o: 1, j: 2, m: 3, i: 1}. Give prob of picking 1 g and 1 i.
8/153
Three letters picked without replacement from {x: 1, z: 1, w: 1}. Give prob of picking 2 w and 1 x.
0
Calculate prob of picking 1 s and 1 o when two letters picked without replacement from ongsr.
1/10
What is prob of picking 1 m and 2 i when three letters picked without replacement from {s: 2, u: 4, m: 3, i: 2, v: 1}?
3/220
What is prob of picking 1 s, 1 e, 1 d, and 1 n when four letters picked without replacement from {e: 3, j: 3, n: 1, s: 5, d: 3}?
3/91
Three letters picked without replacement from {x: 5, e: 2, m: 8}. Give prob of picking 1 x and 2 m.
4/13
Three letters picked without replacement from {e: 2, j: 2, h: 1}. What is prob of picking 1 j and 2 e?
1/5
What is prob of picking 1 h, 1 v, and 1 a when three letters picked without replacement from {a: 1, v: 4, h: 2, m: 1, d: 3}?
8/165
Two letters picked without replacement from bbbbhbbhbbbbhbhhbbb. What is prob of picking 1 b and 1 h?
70/171
Three letters picked without replacement from fofffffxffoffffffxfo. Give prob of picking 1 o and 2 x.
1/380
Calculate prob of picking 2 y and 1 u when three letters picked without replacement from ufyyquybyy.
1/6
Two letters picked without replacement from gnggggng. What is prob of picking 2 g?
15/28
Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {y: 5, r: 1, g: 1, j: 1, m: 6}.
15/364
Four letters picked without replacement from avzvazvwva. Give prob of picking 1 w and 3 a.
1/210
Three letters picked without replacement from ntffntttntnn. What is prob of picking 2 n and 1 t?
5/22
Two letters picked without replacement from {r: 1, b: 1, a: 1}. Give prob of picking 1 a and 1 b.
1/3
Four letters picked without replacement from btoobwtotwwtbwbt. What is prob of picking 1 b, 1 w, 1 o, and 1 t?
12/91
Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {p: 6, z: 2, a: 1, b: 4, n: 3, v: 3}.
1/19
What is prob of picking 3 q when three letters picked without replacement from hqhqq?
1/10
Calculate prob of picking 2 g and 2 c when four letters picked without replacement from {g: 2, c: 18}.
3/95
What is prob of picking 2 z and 1 m when three letters picked without replacement from {h: 1, z: 2, t: 3, p: 8, j: 1, m: 3}?
1/272
What is prob of picking 2 x and 1 m when three letters picked without replacement from oxmdooqmxomgmgggxo?
1/68
Four letters picked without replacement from {b: 1, t: 7}. Give prob of picking 1 b and 3 t.
1/2
Two letters picked without replacement from ccqcqqccqcccccqccc. Give prob of picking 2 c.
26/51
What is prob of picking 3 o when three letters picked without replacement from opooop?
1/5
What is prob of picking 2 d when two letters picked without replacement from {i: 1, d: 3}?
1/2
Calculate prob of picking 1 u, 1 i, and 1 b when three letters picked without replacement from {u: 4, y: 1, i: 7, g: 2, b: 5, l: 1}.
7/57
Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {t: 2, q: 4}.
1/5
Calculate prob of picking 1 t and 1 s when two letters picked without replacement from rtqsgtgrbggrrbbrbrrr.
1/95
Four letters picked without replacement from hgdhgdhgdb. Give prob of picking 1 b, 1 h, 1 g, and 1 d.
9/70
What is prob of picking 3 f and 1 a when four letters picked without replacement from {a: 1, f: 1, l: 1, k: 2, o: 2, i: 1}?
0
Three letters picked without replacement from euugvgeugueu. What is prob of picking 1 u, 1 e, and 1 g?
9/44
Three letters picked without replacement from ymdyyyycd. Give prob of picking 1 c and 2 d.
1/84
Calculate prob of picking 1 d and 2 x when three letters picked without replacement from {d: 2, w: 3, x: 4}.
1/7
Three letters picked without replacement from bswsssssswswssssbb. Give prob of picking 1 b, 1 w, and 1 s.
9/68
Three letters picked without replacement from {y: 1, v: 1, f: 1, g: 2, d: 4}. What is prob of picking 1 y and 2 g?
1/84
Calculate prob of picking 2 x when two letters picked without replacement from {w: 3, x: 3}.
1/5
Calculate prob of picking 1 h, 1 e, and 1 o when three letters picked without replacement from heeeeeehoeoee.
18/143
Calculate prob of picking 1 c and 1 o when two letters picked without replacement from sgocggi.
1/21
Three letters picked without replacement from {w: 1, u: 2, k: 1, h: 1}. Give prob of picking 1 w, 1 k, and 1 h.
1/10
Four letters picked without replacement from iiiiiioixiioixiioi. What is prob of picking 1 i and 3 o?
13/3060
Three letters picked without replacement from {r: 6, m: 4, u: 7, b: 2, a: 1}. Give prob of picking 2 u and 1 m.
7/95
Two letters picked without replacement from {p: 4, h: 2, g: 12, y: 1}. Give prob of picking 2 h.
1/171
Calculate prob of picking 2 f and 2 e when four letters picked without replacement from ppweepppwwfwpfpppw.
1/3060
Two letters picked without replacement from {i: 4, n: 1, j: 6, w: 4}. Give prob of picking 1 j and 1 w.
8/35
Calculate prob of picking 1 u, 1 y, and 1 c when three letters picked without replacement from ybyycbybycrucbybbyu.
14/323
Four letters picked without replacement from xcxcccxccccxxc. What is prob of picking 4 c?
18/143
Four letters picked without replacement from {i: 5, y: 1, k: 3, s: 2, n: 1}. Give prob of picking 1 s, 1 y, and 2 k.
2/165
Two letters pic
|
{
"pile_set_name": "DM Mathematics"
}
|
out replacement from {x: 9, o: 9}. What is prob of picking 4 o?
7/170
Calculate prob of picking 1 t and 2 g when three letters picked without replacement from tgbtbbbbtbbbbbgtgb.
1/68
Two letters picked without replacement from gddddrgggigdmddggdg. Give prob of picking 1 m and 1 i.
1/171
Two letters picked without replacement from xmfxmffmfxx. Give prob of picking 2 f.
6/55
What is prob of picking 3 c and 1 m when four letters picked without replacement from {q: 2, o: 1, c: 4, w: 1, m: 1}?
2/63
What is prob of picking 1 s and 2 q when three letters picked without replacement from {q: 4, s: 1, m: 4, w: 2}?
2/55
Three letters picked without replacement from hshhhhsshhss. Give prob of picking 1 h and 2 s.
7/22
Three letters picked without replacement from {j: 6, l: 1, h: 3, d: 4, e: 2}. What is prob of picking 2 j and 1 e?
3/56
Calculate prob of picking 1 o and 1 v when two letters picked without replacement from doddvdododfddofddooo.
7/190
Four letters picked without replacement from ilidilolliliiilooi. Give prob of picking 1 d, 1 i, and 2 o.
2/255
Calculate prob of picking 2 l and 2 a when four letters picked without replacement from alllllaaalaa.
5/11
Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, c: 2, t: 4}.
1/28
Four letters picked without replacement from {h: 2, n: 3, s: 9, a: 3}. What is prob of picking 1 h and 3 s?
6/85
What is prob of picking 1 i and 1 v when two letters picked without replacement from {i: 2, v: 4, t: 2, f: 2, x: 7}?
1/17
Two letters picked without replacement from uuauwauuwuuufuwuwa. What is prob of picking 2 w?
2/51
What is prob of picking 1 h and 1 x when two letters picked without replacement from hxhh?
1/2
Three letters picked without replacement from {x: 1, s: 1, g: 3, v: 3, e: 5}. Give prob of picking 2 e and 1 g.
15/143
What is prob of picking 1 e and 1 j when two letters picked without replacement from hhjhhhheh?
1/36
What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, s: 1, p: 8, i: 2}?
1/143
What is prob of picking 2 x, 1 f, and 1 v when four letters picked without replacement from nxnnnnffxxfmvxxnm?
3/238
Two letters picked without replacement from {v: 1, s: 2, x: 2}. What is prob of picking 2 x?
1/10
Three letters picked without replacement from rjkcrrkrjwlwlw. Give prob of picking 1 j, 1 l, and 1 k.
2/91
Three letters picked without replacement from zzqzjbzjcjzzjzczz. Give prob of picking 2 j and 1 q.
3/340
Three letters picked without replacement from {x: 3, e: 1, n: 2, h: 3, l: 1}. What is prob of picking 2 x and 1 l?
1/40
Four letters picked without replacement from vqkkkvqkqzsqvkzkkq. What is prob of picking 1 q, 2 v, and 1 k?
7/204
Two letters picked without replacement from {t: 1, z: 2}. Give prob of picking 2 z.
1/3
Calculate prob of picking 1 p, 2 s, and 1 o when four letters picked without replacement from xospxppsws.
3/70
What is prob of picking 1 b and 1 i when two letters picked without replacement from {p: 5, b: 8, i: 5}?
40/153
What is prob of picking 2 o and 2 k when four letters picked without replacement from {o: 7, k: 2}?
1/6
Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rolrvl.
2/15
Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {i: 1, h: 1, d: 2, g: 4, v: 2}.
1/30
What is prob of picking 2 h and 1 l when three letters picked without replacement from lddljdhdtdltjdllhdd?
5/969
Three letters picked without replacement from {o: 2, m: 2, c: 1, h: 4, q: 1}. What is prob of picking 1 o and 2 m?
1/60
Two letters picked without replacement from {y: 5, r: 2, s: 2}. What is prob of picking 1 s and 1 r?
1/9
Calculate prob of picking 2 w when two letters picked without replacement from {u: 3, w: 11}.
55/91
What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqq?
1
What is prob of picking 1 l and 1 q when two letters picked without replacement from {e: 2, q: 3, x: 2, s: 3, l: 1, r: 9}?
3/190
Calculate prob of picking 3 m when three letters picked without replacement from {m: 1, e: 1, j: 2}.
0
Calculate prob of picking 2 w and 1 s when three letters picked without replacement from wtswwwtntnt.
2/55
Two letters picked without replacement from {u: 2, r: 4, o: 2, e: 1}. What is prob of picking 2 o?
1/36
Two letters picked without replacement from yfeykjyfkkeeykfyrfe. What is prob of picking 1 r and 1 y?
5/171
Four letters picked without replacement from sjsssssssssssss. Give prob of picking 1 j and 3 s.
4/15
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from bvlbbbbdbbbbdlndbve.
4/171
Two letters picked without replacement from {w: 1, a: 2, q: 2}. What is prob of picking 1 a and 1 q?
2/5
Two letters picked without replacement from vtttgggvgt. Give prob of picking 1 v and 1 g.
8/45
What is prob of picking 1 n and 1 v when two letters picked without replacement from vnv?
2/3
What is prob of picking 1 e and 2 l when three letters picked without replacement from {s: 10, l: 5, e: 4}?
40/969
Two letters picked without replacement from aawawww. Give prob of picking 2 w.
2/7
What is prob of picking 2 s and 2 q when four letters picked without replacement from sqqqqqqqsqqqqqqqqqq?
2/57
Four letters picked without replacement from vvvkvkkkkmkmkq. Give prob of picking 1 m, 2 v, and 1 k.
12/143
Three letters picked without replacement from {s: 9, v: 4, z: 1}. Give prob of picking 1 v, 1 z, and 1 s.
9/91
What is prob of picking 4 n when four letters picked without replacement from nnnnn?
1
Two letters picked without replacement from wmdqbjb. What is prob of picking 1 b and 1 m?
2/21
Calculate prob of picking 3 z when three letters picked without replacement from zczcmzmmmmcmmmmc.
1/560
Two letters picked without replacement from nnnrwnqnraaanqrni. Give prob of picking 2 n.
21/136
Calculate prob of picking 1 p, 2 l, and 1 t when four letters picked without replacement from leplppeptpp.
1/55
What is prob of picking 1 e, 1 a, 1 q, and 1 k when four letters picked without replacement from {c: 4, a: 7, q: 3, e: 1, k: 1}?
3/260
Two letters picked without replacement from {l: 1, e: 1, m: 1, f: 4, b: 6}. What is prob of picking 1 b and 1 f?
4/13
Two letters picked without replacement from okkioi. Give prob of picking 1 o and 1 k.
4/15
Four letters picked without replacement from tddifdffwxwt. Give prob of picking 1 x, 1 i, 1 f, and 1 t.
2/165
Two letters picked without replacement from sfssbfllfssbfsbsffs. Give prob of picking 2 s.
28/171
Calculate prob of picking 3 g and 1 z when four letters picked without replacement from ggggggzgggggggg.
4/15
Two letters picked without replacement from {i: 1, n: 5, d: 3}. What is prob of picking 2 n?
5/18
Two letters picked without replacement from {v: 2, e: 1, k: 2, w: 1, p: 2}. What is prob of picking 1 k and 1 p?
1/7
Four letters picked without replacement from ggggbbrgpbpgrrg. What is prob of picking 2 g, 1 p, and 1 b?
6/65
Two letters picked without replacement from ooooxox. Give prob of picking 2 x.
1/21
Three letters picked without replacement from {b: 2, l: 2, m: 1, q: 6, n: 4, w: 2}. Give prob of picking 1 q and 2 l.
3/340
Calculate prob of picking 2 d when two letters picked without replacement from dlddlydlldmddlmdlddl.
9/38
Four letters picked without replacement from {n: 15, f: 4}. What is prob of picking 3 n and 1 f?
455/969
Three letters picked without replacement from {e: 7, b: 2}. What is prob of picking 1 e and 2 b?
1/12
Three letters picked without replacement from {w: 1, e: 1, j: 5, l: 2, y: 1}. Give prob of picking 1 j, 1 y, and 1 e.
1/24
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {q: 1, z: 1, w: 2, p: 1, s: 2, g: 1}.
1/14
What is prob of picking 2 j when two letters picked without replacement from iiiijiiiijijiiijiji?
10/171
Four letters picked without replacement from rrrrrrhrrrhrr. What is prob of picking 4 r?
6/13
What is prob of picking 1 n, 1 a, and 1 z when three letters picked without replacement from {w: 4, a: 1, n: 4, g: 1, z: 6}?
3/70
Three letters picked without replacement from okkkkokkk. Give prob of picking 2 k and 1 o.
1/2
Three letters picked without replacement from rqrffrr
|
{
"pile_set_name": "DM Mathematics"
}
|
= 388*w - 442. What is -11*m(c) + n(c)?
388*c - 2
Let d(p) = -344*p - 19. Let u(n) = -176*n - 10. What is 5*d(j) - 9*u(j)?
-136*j - 5
Let p(l) = -l - 185. Let g(d) = -3478*d - 1930290. What is -g(s) + 10434*p(s)?
-6956*s
Let j(c) = c. Let q(h) = 30*h + 2. Let w be (14/(-2))/((-49)/42). What is w*j(t) + q(t)?
36*t + 2
Let p(z) = 19*z**3 + z**2 + 18*z - 9. Let h(s) = 2*s**3 + 2*s - 1. Let n(f) = 9*h(f) - p(f). Let b(a) = 70*a**3 + 35*a**2. What is b(i) + 35*n(i)?
35*i**3
Let d(p) = -139*p + 18. Let q(g) = 3*g - 2. Determine -d(h) - 6*q(h).
121*h - 6
Let q(h) be the first derivative of -h**2/2 - h - 11. Let n(s) = 8 + 10*s + 19 - 23. Determine -n(f) - 2*q(f).
-8*f - 2
Suppose -10*q + 1655 = -825. Let l = -246 + q. Let f(h) = 7*h - 15. Let d(s) = -3*s + 7. Calculate l*f(n) + 5*d(n).
-n + 5
Let w(k) = 3*k**2 - 24*k + 3. Let u be w(8). Let r(b) = 95*b + u - 45*b - 49*b. Let x = -16 + 26. Let d(l) = -2*l - 7. What is x*r(c) + 4*d(c)?
2*c + 2
Let s(m) = 7*m**3 - 4*m**2 + 5*m + 6. Let x = -122 + 123. Let y(k) = -k**3 + k**2 - k - 1. Calculate x*s(g) + 4*y(g).
3*g**3 + g + 2
Let p(s) = -9*s**3 + s + 13. Let q(i) = 2*i**3 - 3. Suppose -7*o = -121 + 65. Let t be (2 - (-40)/(-32))*o. Calculate t*p(u) + 26*q(u).
-2*u**3 + 6*u
Let y(g) = -g**2 + g + 1. Let v = -268 - -269. Let q be (-1 + -6 + v)*-1. Let n(m) = -8*m**2 + 6*m + 2. Give q*y(x) - n(x).
2*x**2 + 4
Suppose -z = 3*a + 7, -2*a = 552*z - 553*z + 18. Let i(x) = 2*x + 14. Let h(r) = -r - 13. Give a*h(j) - 4*i(j).
-3*j + 9
Let m(t) = 2*t**3 + 7*t**2 - t + 2. Suppose -425 = 1100*l - 1185*l. Let o(q) = 3*q**3 + 11*q**2 - q + 3. Determine l*o(v) - 8*m(v).
-v**3 - v**2 + 3*v - 1
Let w(v) = -153*v**3 - 24*v + 6. Let j(s) = 152*s**3 + 18*s - 6. Give -4*j(t) - 3*w(t).
-149*t**3 + 6
Let a(i) = 10*i - 1 + 25 - 5. Let b(g) = 5*g + 9. Let n(o) = 3*a(o) - 7*b(o). Let q = -40067 + 40070. Let z(c) = 6*c + 7. Determine q*z(x) + 4*n(x).
-2*x - 3
Let y(h) = -714*h - 1425. Let j be y(-2). Let x(r) = 6*r**2 - 48*r. Let v(n) = -2*n**2 + 16*n. What is j*x(w) + 8*v(w)?
2*w**2 - 16*w
Let p(a) = -1721*a + 5. Let g(x) = 3446*x - 12. Determine -4*g(c) - 10*p(c).
3426*c - 2
Let u = -41 - -44. Let q(v) = 4*v**u - 3*v**2 + 26*v - 27*v + 4*v**3. Let o(t) = -15*t**3 + 5*t**2 + t. Determine -3*o(g) - 5*q(g).
5*g**3 + 2*g
Let c(v) = 6*v**2 - 69*v + 8. Let q(x) = 3*x**2 - 35*x + 4. What is 6*c(p) - 11*q(p)?
3*p**2 - 29*p + 4
Suppose -7154*s - 208 = -7050*s. Let p(u) = 67*u**3 - 2*u**2 + 2*u - 2. Let d(i) = 66*i**3 - 3*i**2 + 3*i - 3. Calculate s*d(x) + 3*p(x).
69*x**3
Let t = 82 - 82. Suppose a - 23 + 24 = t. Let g(q) = -q + 1. Suppose 0 = 2*p + 5*m + 16, 3*p + 4*m + 8 = -9. Let f(h) = 4*h. Determine a*f(w) + p*g(w).
-w - 3
Let c(p) = p - 2. Let t(l) = -1. Let w = -384 + 356. Let a be w/(-32) - (3 + -10)/56. What is a*c(f) - t(f)?
f - 1
Let f(x) = -48*x**2 + 116. Let c(j) = -25*j**2 + 55. Give -7*c(d) + 4*f(d).
-17*d**2 + 79
Let p(q) = -4*q + 27. Let k(c) = 2*c - 5. What is -42*k(f) - 7*p(f)?
-56*f + 21
Let o(c) = -14*c**2 + c + 6. Suppose 1096 = 28*g + 116. Let p(i) = 14 - g*i + 35*i - 12 - 5*i**2. What is -3*o(x) + 8*p(x)?
2*x**2 - 3*x - 2
Let i = -21 - -15. Let v(w) = -4*w + 2. Let k(y) = 3834*y - 3845*y - 23 + 51 - 22. What is i*k(h) + 17*v(h)?
-2*h - 2
Let r be (-128)/20 - (688/80 + -9). Let z(k) = -7*k**3 + 6*k**2 + 9*k + 6. Let h(w) = -w**3 + w**2 - w + 1. Give r*h(m) + z(m).
-m**3 + 15*m
Let o(n) = 6*n**3 + n - 1. Let b(k) = -14726*k**3 - 2786*k + 2786. Calculate 2*b(m) + 5572*o(m).
3980*m**3
Let n(s) = 4 - 4 - 4*s. Let f(t) be the first derivative of 13*t**2/2 + 345. Let r = -1279 + 1277. Calculate r*f(q) - 7*n(q).
2*q
Let o(m) = m**2 + 5 - m + 8*m + 2. Let q(s) = -6*s**2 + 24*s. Let y be q(4). Let v be y/2 + (51 - 45). Let h(j) = -j**2 - 6*j - 6. What is v*o(b) + 7*h(b)?
-b**2
Let b(t) = -32*t**2 - 610*t + 20. Let p(r) = 10*r**2 + 203*r - 6. Determine -3*b(l) - 10*p(l).
-4*l**2 - 200*l
Let d(a) = 64*a + 22. Let m(p) = 35*p + 12. Let w(h) = -6*d(h) + 11*m(h). Let v(f) = -f. Determine 24*v(q) + 3*w(q).
-21*q
Let f(d) be the first derivative of 5*d**3/3 - 1565. Let j(q) = -88*q**2. Calculate -80*f(o) - 5*j(o).
40*o**2
Let m(q) = -2*q + 2. Let p be (6 + 0)*31*(-3)/(-186). Let k(g) = -3*g + 4. Determine p*k(c) - 7*m(c).
5*c - 2
Suppose -82*n + 60 - 98 = 454. Let k(y) = -y**3 + 6*y - 1. Let m(o) = -1 - 4*o**3 + 5*o + 2*o + 2*o**3. Calculate n*m(d) + 7*k(d).
5*d**3 - 1
Let g(i) = 4*i - 1. Let y(p) = p. Let t(n) = -n - 79. Let r be t(-77). Calculate r*y(a) - 2*g(a).
-10*a + 2
Let w(r) = -r**3 - 15*r**2 + 76*r + 3. Let m be w(-19). Suppose m*f - 18 = -2*c - c, -c - 2*f = -7. Let y(u) = -u. Let v(q) = 15*q. Give c*y(a) + v(a).
10*a
Let j(h) = 24*h - 23*h - 1 - 58*h**2 + 57*h**2. Let i(n) = 27*n**3 + 2*n**2 - 3*n + 3. Determine i(p) + 2*j(p).
27*p**3 - p + 1
Let h(w) = 1. Let a(g) = -11*g + 4. Let k(m) = -a(m) - 4*h(m). Let j(l) = 4*l - 3. Let u(t) = -166*t - 13106. Let q be u(-79). Calculate q*j(o) - 3*k(o).
-o
Let f(p) = -8*p**2 + 4. Suppose -943*d + 1670*d - 836*d - 218 = 0. Let z(a) = -7*a**2 + 9. Let h(u) = 1. Let k(t) = 6*h(t) - z(t). Determine d*f(y) - 3*k(y).
-5*y**2 + 1
Let w(g) = g**2 + 6931*g - 13854*g + 1 + 1 - 3 + 6922*g. Let b(s) = -2*s**3 + 10*s**2 - 11*s - 11. What is -2*b(a) + 22*w(a)?
4*a**3 + 2*a**2
Let y(i) = 113*i + 1720. Let g(x) = -27*x - 430. Calculate 25*g(o) + 6*y(o).
3*o - 430
Let u(r) be the third derivative of -167*r**6/120 - 7*r**5/60 + 7*r**4/24 + 7*r**2 + 510. Let w(n) = 84*n**3 + 3*n**2 - 3*n. Calculate -3*u(k) - 7*w(k).
-87*k**3
Let p(y) = -5*y**2 + y - 2. Let i(n) = -12*n**3 + 40*n**2 - 24*n + 15. What is -i(o) - 8*p(o)?
12*o**3 + 16*o + 1
Let h(t) = -64. Let i(c) = 51. Let a(w) = -4*h(w) - 5*i(w). Let d(u) = u + 4. What is -9*a(v) + 2*d(v)?
2*v - 1
Suppose 2*u + 19 = -5*d, 10*d + 5*u + 22 = 6*d. Let k(b) = 4*b**3 - 3*b**2 + 2*b. Let s(l) = -4*l**3 + 2*l**2 - 2*l. Give d*s(t) - 2*k(t).
4*t**3 + 2*t
Let t(h) = 60*h**3 + 16*h**2 - 29*h - 4. Let i(q) = -58*q**3 - 17*q**2 + 23*q + 3. What is -5*i(m) - 4*t(m)?
50*m**3 + 21*m**2 + m + 1
Let v(u) = -6*u**3 + u - 3. Let f(q) = 35*q**3 - 4*q**2 - 6*q + 104. Give f(w) + 6*v(w).
-w**3 - 4*w**2 + 86
Let v(y) = 3*y**2 - 5*y + 24. Let h(j) = -25*j**2 - 2*j - 8. Let z(q) = 81*q**2 + 7*q + 24. Let i(l) = -13*h(l) - 4*z(l). Determine -11*i(k) + 4*v(k).
k**2 + 2*k + 8
Let r(h) = 2*h**2 - 2*h + 3. Let m(p) be the second derivative of -p**4/12 + p**3/6 - p**2/2 + 424*p. Give -5*m(l) - 2*r(l).
l**2 - l - 1
Let n(w) = -3*w**3 - 5*w**2 + 2*w - 4. Let a(c) = 3*c**2 - 87*c + 232. Let q be a(26). Let o(j) = -j**3 - j**2 + j - 1. What is q*o(r) + n(r)?
-r**3 - 3*r**2 - 2
Let f(d) = 4*d - 2. Let t(a) = -2*a + 1. Let s(m) = -3*m + 86. Suppose -3*v - 2*v + 135 = 0. Let r be s(v). Determine r*t(l) + 3*f(l).
2*l - 1
Let c(p) = -14*p**2 + p. Let l be (-5)/(4/14*((-2751)/252 + 8)). Let h(j) = 13*j**2 - j. Give l*h(q) + 5*c(q).
8*q**2 - q
Let w(y) = -4. Let h(n) = n - 10 + 6 + 1. Let i be 6*(8/18)/(12/(-18)). Give i*w(u) + 5*h(u).
5*u + 1
Let c(r) = 1. Suppose 306 = -3093*j + 3042*j. Let o(y) = -8*y - 3. Give j*c(a) - o(a).
8*a - 3
Let a(z) = 4581*z + 27. Let w(x) = -2297*x - 16. Determine -4*a(y) - 7*w(y).
-2245*y + 4
Let s(q) = -2*q**3 + q. Suppose -w + 4*y - 2*y = -15, 0 = -w + 3*y + 11. Let f(i) = -6*i**2 + w*i - 46*i - i**3 + 24*i + 6*i**2. Give 6*f(z) - 6*s(z).
6*z**3
Let r(p) = p. Let n(m) = 19*m. Let h(l) = -l**3 - 22*l**2 - 94*l - 43. Let x be h(-5). Determine x*n(i) - 22*r(i).
16*i
Let w(k) = -6*k**2 + 4*k + 2. Let m be (0 + 1)/((-148)/592). Let o(r) = -13*r**2 + 9*r + 5. Give m*o(a) + 9*w(a).
-2*a**2 - 2
Let c(d) = -15*d + 29. Let x(f) = 33*f - 64. What is 9*c(k) + 4*x(k)?
-3*k + 5
Let r(d) = 21*d**3. Let x(h) = -388070183 + 43*h**3 + 388070183. Give -9*r(z) + 4*x(z).
-17*z**3
Let w(l) = -2 - 25*l**3 - 12*l**3 + 68*l**3 + 3 - 21*l**3 - 5*l. Let f(r) = 9*r**3 - 4*r + 1. Determine -6*f(x) + 5*w(x).
-4*x**3 - x - 1
Let q(a) = 4*a - 1. Suppose 55 = 4*j - 85. Let r be 7/1*(j + -36). Let v(s) = 3*s - 1. Determine r*v(z) + 5*q(z).
-z + 2
Let l(n) = 12*n**3 + 5*n**2 - 3*n - 5. Let g(b) be the first derivative of 3*b**4/2 + b**3 - b**2/2 - 3*b + 1204. Determine 5*g(a) - 3*l(a).
-6*a**3 + 4*a
Let u(p) be the second derivative of -p**3/2 + 7*p**2/2 - 4*p. Let b be ((-188)/28 + 5)*7/
|
{
"pile_set_name": "DM Mathematics"
}
|
.
13
Let v be -6*((-6)/24 - 111/36). Calculate the highest common factor of v and 50.
10
Suppose p = -3*v + 120 - 1, -3*p = -2*v + 61. Calculate the greatest common factor of 38 and v.
38
Let l(v) = v**3 - 3*v**2 + 9*v - 17. Let k be l(3). What is the greatest common divisor of k and 35?
5
Let v = 2059 - 1093. Calculate the greatest common divisor of 92 and v.
46
Suppose 2*g = 6*l - 7*l + 62, -5*g = 20. Calculate the highest common divisor of l and 455.
35
Let o = -261 - -285. Suppose -4*k = 4, -3 + 198 = 2*t - 3*k. Calculate the highest common factor of t and o.
24
Let y be (-111)/(-6) + 2/(-4). Suppose 0 = -m - 0*m. Suppose m = a - 0*a - 6. What is the highest common divisor of a and y?
6
Suppose -163*p = -154*p - 2430. What is the greatest common factor of p and 36?
18
Let d = -21 + 30. Let r(u) = -u**3 + 28*u - 2*u**2 - 4*u + 2*u**2 + 9*u**2 - 13. Let a be r(11). What is the greatest common factor of a and d?
9
Suppose -7*d + 127 + 6 = 0. What is the highest common divisor of d and 361?
19
Let g(t) = t**3 - 5*t**2 + 3*t + 4. Let r be g(5). Let m = 586 - 325. Let q = m - 223. Calculate the greatest common divisor of q and r.
19
Let i be (-2)/(5*(-4)/(-10))*-3. Suppose -j + 4*t + 25 = 3*t, 15 = -i*t. What is the highest common divisor of 100 and j?
20
Suppose 417 = 3*b - 27. Let p = 260 - b. Let c = p - 35. Calculate the greatest common factor of 7 and c.
7
Suppose 0 = 2*h + 5*k - 68 - 7, 0 = 5*k + 5. Calculate the greatest common factor of h and 25.
5
Let d be (4 + (-3)/6)*24/21. Let v(t) = 2*t**3 + 8*t**2 - 4*t + 2. Let k be v(d). What is the highest common factor of 22 and k?
22
Suppose -5*q + 9*q - 88 = 0. Let u be 4 - (0 - 0)*1. Suppose 0 = u*y - 55 - 33. Calculate the highest common factor of q and y.
22
Let a be (169 + -91)*(3/2 - -1). Calculate the greatest common divisor of a and 234.
39
Let v(c) = 3*c**2 + 11*c - 8. Let j(h) = -8*h**2 - 33*h + 23. Let s(g) = -4*j(g) - 11*v(g). Let t be s(10). Calculate the greatest common factor of t and 6.
6
Let n(w) = -10*w - 3 - 2*w**2 - w**2 + 1 + 2*w**2. Let j be n(-8). Suppose -j - 10 = -2*z. Calculate the greatest common divisor of 4 and z.
4
Suppose 4*o + 117 = -3*h, 2*h + 2*h - o = -156. Let a = h + 50. Let i = 148 - 27. Calculate the highest common factor of i and a.
11
Suppose 234 = -16*y + 10*y. Let g = 83 + y. What is the greatest common factor of g and 110?
22
Let f be (0 - (-4 + 2))/((-6)/801). Let a(c) = 170*c - 1. Let x be a(-1). Let p = x - f. Calculate the greatest common factor of p and 12.
12
Let z be ((-24)/(-28))/(2/7). What is the highest common factor of z and 3?
3
Suppose 0 = -m + 132 + 288. What is the highest common divisor of 20 and m?
20
Let h = -37 + 60. Let g(u) = u**3 - 24*u**2 + 22*u + 24. Let k be g(h). What is the greatest common factor of k and 11?
1
Let g(f) be the third derivative of f**5/60 + f**4/3 - 26*f**2. Let k be g(-14). What is the greatest common factor of 12 and k?
12
Suppose 2 = -0*p + p. Suppose 17*b - 864 = 5*b. Suppose 3*k + 72 = 7*k + j, 4*k + p*j - b = 0. What is the highest common divisor of 18 and k?
18
Suppose 17 - 14 = 3*a. Let w be (6/a*4)/(2/2). What is the highest common divisor of 36 and w?
12
Let k be 16/(-10)*15/(-6). Suppose k*y + 0 = 12. Let z(l) = 9*l**2 + l - 3. Let a be z(y). Calculate the highest common factor of 9 and a.
9
Suppose 0 = 5*o - 171 + 131. Let j be -2 + 5 + -1 + 3. Suppose -2*d = j*l - 198, -5*d = -d + 4. What is the greatest common divisor of l and o?
8
Let w be (4 + 65/(-15))/(2/(-42)). Suppose 2*i + 110 = w*i. Let q be ((-4)/6)/((-3)/495). What is the highest common divisor of q and i?
22
Let o(y) = 148*y + 12. Let n be o(3). What is the greatest common factor of 57 and n?
57
Let k(v) = -v**2 - 10*v - 16. Let p be k(-7). Suppose -o - 80 = -p*f + 4*o, o + 44 = 3*f. Calculate the highest common divisor of 154 and f.
14
Suppose 3*q - 157 = -x - 13, 0 = -3*q. Calculate the highest common divisor of 36 and x.
36
Let u = -43 - -23. Let q be (5/4)/(5/u). Let n = 11 + q. What is the greatest common factor of n and 2?
2
Let s = -72 - -55. Let z(v) = -2*v - 19. Let g be z(s). Suppose -3 - 6 = -3*c, -5*u + 660 = -5*c. Calculate the greatest common divisor of u and g.
15
Let f(j) = j**3 + 10*j**2 - 10*j - 30. Let r be f(-7). What is the greatest common divisor of 77 and r?
11
Let z(o) = -2*o**3 + 66*o**2 - 62*o - 48. Let c be z(32). What is the greatest common factor of 28 and c?
4
Suppose 3*d = d + 8. Suppose 2 + d = t. What is the highest common divisor of 42 and t?
6
Suppose 4*t - j - 95 - 198 = 0, -t + 5*j = -97. What is the highest common divisor of 396 and t?
36
Let i(q) = -11*q + 15. Let g be i(-6). Suppose -g - 117 = -2*j. Calculate the highest common factor of j and 11.
11
Suppose 230 = 2*o + 3*o. Let d = 822 + -799. Calculate the greatest common factor of o and d.
23
Suppose -3*o + 48 = 2*b - 5*o, -4*o - 8 = 0. Suppose -20*h - 44 = -24*h. Calculate the highest common factor of h and b.
11
Let y(z) = z**3 - 7*z**2. Let i be y(10). Suppose 7*b = 2*b + i. Suppose -5*v + 0*v + b = 0. Calculate the greatest common factor of v and 108.
12
Suppose -3*h = -5*m + 8, -3*h - h = 2*m - 24. Suppose h*r + 3*k - 2*k = 67, k = -5. Suppose -4*a + a = -135. Calculate the greatest common factor of a and r.
9
Let h(s) = 2*s + 6. Suppose 3 = x - 2*x. Let c(v) = 2*v + 5. Let o(z) = x*c(z) + 2*h(z). Let q be o(-4). What is the greatest common factor of 25 and q?
5
Let u = 0 + 3. Suppose g + y = -u*g + 19, 0 = 3*g + 2*y - 8. Suppose -125 = s - g*s. What is the greatest common factor of 5 and s?
5
Suppose -6*k + 2*k + 56 = 0. Suppose 0 = -3*n + 47 - k. Suppose -2*d - 3*d - f + 56 = 0, 4*d = -f + 45. Calculate the greatest common factor of d and n.
11
Suppose -2*p = 2*p - 48. Let f(m) = m**3 - 20*m**2 + 23*m - 28. Let z be f(19). What is the highest common divisor of p and z?
12
Let a = -307 - -647. Calculate the highest common factor of 17 and a.
17
Let a(j) = 4*j**2 + 15*j - 38. Let p be a(2). Let o = -48 - -79. Let w = -15 + o. What is the greatest common factor of w and p?
8
Suppose -3*w - 1 = -16. Suppose -113 = 4*g + w*b + 53, -g + 5*b - 54 = 0. Let u be (g/8)/(3/(-6)). What is the greatest common divisor of u and 88?
11
Let b = -1415 - -3015. What is the highest common divisor of 50 and b?
50
Suppose 371 = -4*x + 1187. Let v = 347 - x. Let w = 9 - -4. What is the greatest common divisor of v and w?
13
Suppose 44 = -2*z + 280. Let w = -63 + z. Let p be (1/(-3))/((-10)/330). Calculate the highest common divisor of p and w.
11
Suppose -4 = -j - 2. Calculate the greatest common factor of j and 74.
2
Suppose 4*x = x - 3*l + 69, -2*x + 4*l = -58. What is the highest common factor of x and 15?
5
Suppose -10*g - 94 = -4*n, -4*g = 3*n - 41 + 28. Suppose -223 - 525 = -4*x. What is the highest common factor of n and x?
11
Suppose 4*t = 3*t + 110. Suppose y = -y + t. Suppose -5*g + 10 = -3*g. Calculate the highest common divisor of y and g.
5
Let m = -294 - -334. Suppose -5*q + 52 = -q. Suppose -4*l + 53 = q. What is the greatest common factor of l and m?
10
Let s(g) = 18 + 3*g**2 + 19*g**2 + 9*g - 30*g - 3 - g**3. Let y be s(21). What is the greatest common divisor of y and 20?
5
Let k be 10 - ((-3)/1 + 2). Suppose x - 6 = 2*y, -x + y = -k + 2. Calculate the highest common divisor of x and 6.
6
Let a = 28 - 4. Let i = a - 8. Let r be 20/(-1)*(-96)/15. What is the greatest common factor of i and r?
16
Suppose 0*t + 12 = 3*t, 0 = -3*g + 3*t. Suppose -20 = -g*r, -c + 4*r - 110 = -4*c. Suppose 0 = -4*p + c + 34. Calculate the greatest common factor of p and 48.
16
Suppose 0 = -4*t + 70 - 18. Suppose -5*n + 17 = -3*w + 52, -2*n + 5 = -5*w. Let x be (-4)/(-10) - 776/n. What is the greatest common divisor of t and x?
13
Let f(k) = 28*k - 52. Let i = 17 + -10. Let l be f(i). What is the highest common factor of l and 18?
18
Let c(u) = -47*u + 51. Let o be c(1). What is the greatest common factor of 12 and o?
4
Let x(z) = -50*z**3. Let l be x(-1). Let c be (-2)/10 + 1110/l. What is the highest common divisor of c and 2?
2
Let s be 1/(3/(-174)*-1). Let c = s - 50. What is the greatest common divisor of 4 and c?
4
Suppose -2*t - 81 = -5*u, 6*t - t - 30 = -3*u. Let b(l) = -l + 26. Let g be b(21). Calculate the highest common factor of u and g.
5
Let t
|
{
"pile_set_name": "DM Mathematics"
}
|
7 = -l*t, 2*t + t = -3*b - 3 for b.
-3
Let o be (1/(-2))/(2/(-44)). Let b = o - -3. Solve 0 = -4*c + 3*d + b, 0*d + 8 = c - 3*d for c.
2
Suppose 2*i - 2*p = 14, -8*i - 2*p = -7*i + 5. Solve l - i*l = 5*o + 1, -4*o + 10 = -2*l for o.
1
Let y(k) = k + 4. Let f be y(-4). Suppose -7 = -2*n - 2*o + 3, f = 3*n + o - 11. Solve -4*u - 21 + 9 = 0, 2*j + n = -u for j.
0
Let p be 28 + 0 + (-1 - -1). Let b = p + -10. Let v(t) = -t + 3. Let y be v(1). Solve 3*r - b = y*r + 4*o, o = 3*r + 1 for r.
-2
Suppose 0 = -2*a + 6*a - 12. Let v = 0 + a. Let r = 1 - -2. Solve 0 = -v*z + g + r*g + 6, 3*z - 6 = -3*g for z.
2
Let j = -6 + 16. Solve 3*n + 2*z = -j + 1, -2*z = -2*n - 16 for n.
-5
Let t be (0/2)/(-4 + 5). Let c = -99 + 139. Suppose -6*j + 2*j - 4*f + 72 = 0, -5*j + 5*f + c = t. Solve o = -3*s + j, -5*o = -2*s + 4*s - 13 for o.
1
Let z(m) = -m**3 + 4*m**2 - 4*m + 4. Let b be z(3). Let u = 2 - b. Let d be u/(-2 - (-27)/12). Solve -3*t = -o - 11, 4*t = -0*t - 4*o + d for t.
3
Let x(w) = -w**2 + 5*w + 4. Let a be x(6). Let i be ((-10)/6 - a)*6. Suppose i*z + z = 18. Solve 0 = -4*j - 4*d + 40, -z*j + 2*d = -4*j for j.
5
Let j(m) = -2*m - 9. Let s(r) = r - 11. Let o be s(5). Let h be j(o). Solve 0 = 4*n + 2*x - 16, -2*n = -0*n - h*x - 16 for n.
5
Suppose -19 = -2*p - 3*c, 3*p - 5*c = -3*c + 61. Solve -5*q - j + p = -11, -q + 2*j - 1 = 0 for q.
5
Let d be 0/(3/9 + 4/(-3)). Solve 2*q = -2 - d, -r = -2*q - 3 for r.
1
Let w = -245 + 350. Suppose -q + 53 - 192 = -4*b, 3*b - q - w = 0. Solve 5*k - 2*y - b = y, 2*k - 1 = -3*y for k.
5
Let d be (-6)/(-9) + 2/(-3). Suppose t = 4*o - 10, -3*o + d*t = -2*t - 10. Solve -o*u - 6*l + 12 = -l, -3*u - 32 = -5*l for u.
-4
Let p(j) = -8*j + 4. Let l be p(-2). Suppose 4 - 1 = -u. Let h(w) = 2*w**2 + 3*w - 4. Let g be h(u). Solve 3*q - l = -4*a, 0*q = a + 3*q - g for a.
5
Suppose 3*n - 4*l - 20 = 18, 0 = -n - 5*l - 19. Let j be 16 - -1 - (-3 + n). Solve -z - 6 + 4 = v, -2*v = -3*z + j for z.
2
Let u = -11 - 8. Let j = -11 - u. Suppose j = 2*g - 8. Solve 2*v + 7 = 3*r, -2 = -3*v - g for r.
1
Suppose 7*k = 3*k + 12. Solve 3*q = -0*u + 4*u - 16, k*q = -5*u + 20 for q.
0
Suppose -2*s + 7*s - 10 = 0. Solve -3*r = -3*l + s*r - 3, 0 = -2*r for l.
-1
Suppose 29*p - 26*p - 30 = 0. Solve -2*j + 10 = 2*k, p = j + 2*j + 2*k for j.
0
Let k(w) = 3*w**3 - 6*w + w + 4*w - 6 - 7*w**2 - 4*w**3. Let n be k(-7). Suppose -p - n = -4. Solve 3*l + 3 = 3*f - p, 5*f - 20 = -5*l for l.
1
Let s(o) = o**3 - o**2 + o + 12. Let v be s(0). Suppose 2*f - 3 + 27 = 0. Let t be f/(-42) - 12/(-7). Solve 4*d - v = -0*m + 2*m, -3*d + t*m + 10 = 0 for d.
2
Let r be 1/2 + 5/10. Let d be 0 - 0 - r - -1. Suppose d = 5*l - 20 - 20. Solve w - c = 0, 3*w - l = -w - 4*c for w.
1
Let u be (7 - 9) + (-20)/(-1). Suppose g + 4*g + 4*p = 12, p = -5*g + u. Solve -4*v + 2*v = -3*c - 1, -g*c = 3*v + 7 for v.
-1
Suppose -p - p + 16 = 0. Let m(c) be the first derivative of -c**3/3 + 9*c**2/2 - 5*c + 1. Let t be m(p). Solve t*u + 2*u - 2*i = 23, u + 2*i + 5 = 0 for u.
3
Let o(g) = 4*g + 16. Let q(f) = -5*f - 17. Let x(k) = 4*o(k) + 3*q(k). Let p be x(-11). Solve 0 = -2*i - p, 3*w + 4*i = 2*w - 2 for w.
2
Let h be (-8)/20*-5 - 2. Let o = 2 + h. Solve 0 = 2*l - o*d - 4, 5*l - 7*d = -5*d + 13 for l.
3
Let c be 0/1 - 0/(-1). Suppose -x + 3 = u - 2*x, 0 = -3*u - 2*x + 4. Let s be 195/27 + u/(-9). Solve 5*h + b + 13 = 0, c = 5*h - 0*b - b + s for h.
-2
Suppose p = 2*r + 10, -3*p + 2 = 3*r - 2*r. Solve -3*b + p*z + 2 = 10, 0 = -2*z + 2 for b.
-2
Let u(r) = -r + 2. Let z be u(-3). Let j = -5 + z. Suppose 5*x - 5*p + 5 = 0, 0*x + x = 3*p - 11. Solve j = 4*n - n + 2*v, -x*n = 5*v for n.
0
Let o be 1/(2/(-9))*2. Let p = 9 + o. Solve -5*t - 2*r + 9 = 0, 0 = -p*r + 3*r + 9 for t.
3
Suppose -16*z = -21*z. Solve -g + 4*n + 1 = 0, -3*g + n - 3*n + 3 = z for g.
1
Suppose -5*q + 23 + 43 = 3*d, 0 = -3*q + 4*d + 28. Solve -2*w - w = 4*v - q, 12 = 4*v for w.
0
Suppose 0*m = -3*f + m + 10, -13 = -4*f + m. Suppose -4*h - 8*n + 3*n = 20, h + f*n = -12. Solve -w + 2*g - 3 = -7, h = 3*w - 4*g - 12 for w.
4
Let k(s) = s**3 - 2*s**2 + 2*s. Suppose 4 = -w + 6. Let i be k(w). Solve -5*n + z - i*z = 0, 4*z = 3*n - 29 for n.
3
Suppose -2*x = -w - 28, 0 = -5*x + 3*w - 1 + 70. Suppose -6*u = -11*u + x. Solve 0*f = u*f - 5*j + 8, 0 = 3*f + 3*j for f.
-1
Let c be (-3)/(-2) - (-6)/12. Suppose -c*w + 4*v + 30 = 0, 5*v = 5*w + 4*v - 30. Solve -4*r + 3*q + 23 = -2*q, w*q = -4*r - 7 for r.
2
Suppose 3*m - 10 = 5. Solve 11 = h + 2*u, -u = -m*h + h + 17 for h.
5
Let o(p) = -p**2 + 7*p + 11. Let b be o(8). Suppose 0*j - b*j - 6 = 0. Let d be ((-1)/(-2))/(j/(-8)). Solve -4*s + 22 = -d*k, 2*s = -3*k - 0 - 1 for s.
4
Suppose 2*v + 2*v = n + 25, 4*v = 4*n + 40. Suppose r + 20 = v*y, -4 = r - 9. Solve -o = s - 0*o - 9, 4*s = y*o for s.
5
Let u = 8 + -18. Let a be u*(-2)/(-12)*-3. Solve 0 = -a*z + 3*b + 14 + 26, b + 25 = 4*z for z.
5
Suppose 2*l - l - 3 = 0. Let s(z) = -z**3 - 4*z**2 - 3*z + 3. Let u = 2 + -5. Let t be s(u). Solve t*i + 2 = -l*j + 5, 3*j - 17 = 4*i for j.
3
Suppose 3*p - 3 = 3*g, 4*p - 13 - 1 = -g. Suppose 2 = -4*m - f, 0*f - 4 = m + g*f. Let c be 24 - 1/3*m. Solve -c = 4*r + 3*q, -5*r - 1 = -4*q - 2 for r.
-3
Suppose -4*r + v = -24, -2*v = -3*r - 4*v + 7. Let k = 1 - -1. Suppose 0 = 9*s - 6*s - 36. Solve -3*i + 1 = 5*t, 0 = r*t - k*i + s - 3 for t.
-1
Suppose -5*h = -30 + 5. Let t = h - 3. Let b = -7 - -11. Solve 8 = t*o - b*z, 2*z = -5*o + o + 16 for o.
4
Let x = 114 + -14. Suppose -6*z + z = -x. Let c be 0 - (z*1)/(-1). Solve 2*h - 2 = v + 6, -5*h + c = 0 for v.
0
Suppose 6*a - 10*a + 44 = 0. Suppose 2*b = 5 + a. Solve 3*r - b = -4*q, r + r + 5*q = 3 for r.
4
Let g(c) = -1. Let k(x) = -x**2. Let z(m) = g(m) - 4*k(m). Let n be z(-1). Let i = 36 - 35. Solve -l + n*v = 8, 0*v - i = -v for l.
-5
Let x = -41 - -53. Solve 0 = -2*g - 3*g + s - 12, -3*g + 3*s = x for g.
-2
Let u = 8 + -4. Let n be 5*(0 + u/10). Solve n*w + 3*x = w + 10, 5*x = -2*w + 18 for w.
4
Let r be (15/6)/((-1)/(-2)). Suppose r*p - 16 = -0*z - 2*z, -6 = -3*p - 3*z. Let o be 1 - (-1)/((-3)/(-6)). Solve -2*j + 8 = 0, a = o*a - j - p for a.
4
Suppose -i + 0 = -2. Let y be (-2)/4*(-5 - -5). Suppose 12 = 2*z - y*z. Solve 2*n - 20 = i*u, -26 = n + 5*u - z for n.
5
Suppose 452 = 5*i + 92. Suppose -19*u + 15*u = -i. Solve -5*n + u = -2*a - n, 3*n - 13 = a for a.
-1
Let i(t) = t - 1. Let k be i(6). Suppose -k*n + 2 = -13. Solve 0 = n*u + 3*x - 3 - 0, 4*x + 12 = 0 for u.
4
Let o be 3/((-7)/(56/(-12))). Solve -o*m + 38 = 5*d + 9, 0 = 4*d + 2*m - 24 for d.
5
Let q be (0 - 12)/(-3) - 0. Suppose -10 + 7 = -a. Suppose 0 = 3*s - 8*s + 20. Solve 0 = r - q*x + a, x + s*x = 0 for r.
-3
Suppose -6*x + x - 5 = 0. Let o be 6*6/9 - x. Solve -m + 5*m = o*y + 25, -y - 3*m = 5 for y.
-5
Let z be 10/((-40)/(-15) + -2). Solve 4*m = 5*l + 25, 0*m - 3*l - z = -2*m for m.
0
Let o(k) = k**3 - 2*k**2 - 4*k + 4. Let n be o(3). Solve -d + 1 = b - n, b = d + 8 for d.
-3
Suppose 2*i - 88 = -c, -5*c = -2*i - 2*c + 72. Let a = -25 + i. Solve 2*l + a = -5*g, g - 2 = 2*l + 3*l for g.
-3
Let n(f) = f**3 + 9*f**2 + 4. Suppose -s = -1 + 10. Let g be n(s). Solve 12 = g*z - 4*a, a + 15 = 5*z - z for z.
4
Suppose -253 = -6*w - 241. Solve w*c = 5*n + 15, -4*c + 20 = -8*c for n.
-5
Let z be (-26)/(-22) - 1 - 341/(-121). Solve 2*a - z*x = 2, -2*a = -0*a + 3*x - 14 for a.
4
Let d(j) = j + 2. Let y be d(3). Let v(h) = -h**3 + 6*h**2 - 4*h - 4. Let x be v(y). Suppose 3*f = -0*f + 15. Solve -4*i - 3*n = -f + x, -4*i = -2*n - 24 for i.
4
Let d be (-1 + 3)*(-10)/(-4). Let g be 22/2 - (d - 5). Solve 0 = t - 3*k - 8, 4*k + 6 + g = -5*t for t.
-1
Let q = -100 + 100. Solve -4*w = -0*w - 20, z - 3*w + 14 = q for z.
1
Suppose -12 = -2*q - q. Let k be (-5 - -1)*(-1)/2. Solve -4*w = 5*v + 31, -2*w + q*w + k = 2*v for w.
-4
Suppose 2*w + 2 = -3*a + 29, a = 5*w - 59. Suppose -6*s + s + 15 = 0, 2*g = s + 5. Suppose -o - g*o = -20. Solve o*d = -2*y - w, y = -d - 4 + 1 for y.
0
Let j(q) = -q - 1. Let l be j(-3). Solve -4*b + 22 = 2*w, 1 = 2*b - 3*w + l for b.
4
Let s be (-2)/(-5) + (-143)/(-55). Solve -3*y - 2*d = 4 - s, 3*y = d + 14 for y.
3
Suppose 4*z = 0, 5*z - 5 = -2*j + 3. Solve 17 = -5*n - x - x, -j*x + 1 = 3*n for n.
-5
Let m = 10 - 2. Suppose 0 = 5*z - m*z + 9. Solve u - z = x - 0, 0 = -2*x + u - 7 for x.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
mon denominator of k and 125/6.
138
Suppose 5*n - 110 = 2*w, -5*n - 95 = -10*n - w. What is the lowest common multiple of 16 and n?
80
Suppose -23*f = 38*f - 2684. Calculate the least common multiple of 6 and f.
132
Suppose -2*y - 2*y = -4*q + 32, -4*q + 2*y + 34 = 0. Suppose -7*k + q*k - 2 = 0. Find the common denominator of 56/11 and k*(-124)/(-20)*-1.
55
Let s be -1*5*40/(-50). Let o = -19 + s. What is the common denominator of (-2 - 0) + 290/o and 70/9?
9
Suppose 0 = -5*z + 155 + 65. Calculate the common denominator of -71/57 and (-1 - z/(-42))*(-82 - -3).
399
What is the common denominator of (-5 - (-252)/52) + (-952)/(-4160) and 127/240?
240
Suppose 0*f - 4*f + 8 = 0. Let r be 0 - (-1)/f*4. What is the lowest common multiple of 0 + r - (-24)/6 and 7?
42
Suppose -5*h - 14 = y, 4*h = 4*y - 14 - 2. What is the least common multiple of (-14)/h + 1/3 and 5?
5
Find the common denominator of -47/21 and (-7648)/(-5040) + (-2)/10.
63
Suppose -80 = -5*z + z. Suppose 8*v - z = 6*v. Calculate the lowest common multiple of 5 and v.
10
Let k be (-2)/((-3)/(-7) + 66086/(-154217)). Let p = -1586119/36 - k. Calculate the common denominator of p and ((-2)/(-21))/((-24)/(-1162)).
36
Suppose 0 = -3*q - 0*q - j + 23, -29 = -5*q + 3*j. Let k(m) = m**2 - 5*m + 2. Let r = -7 - -37. Calculate the lowest common multiple of k(q) and r.
240
Let a be 273/(-14)*(-4)/2. Find the common denominator of (a/(-8))/(20/16) and 47/3.
30
Suppose 0 = 5*t + 2918 + 3877. Let s be 320/t + 6/27. Let l = s + 3175/302. Calculate the common denominator of l and 45/28.
28
Let h be (-4)/6 + (-582)/396. Let n = 1021/66 + h. Find the common denominator of n and -20/3.
3
Let l = -21445 + 42712. Let u = -467957/22 + l. Find the common denominator of u and -73/12.
132
Let t = 10003/18 + -1669/3. What is the common denominator of (-4)/(-30)*(-2670)/(-80) and t?
180
What is the least common multiple of 5/(9/((-540)/(-25))) and 249?
996
Let g = 643/2 - 328. Calculate the common denominator of 6/(-40)*12/(-144)*1*28 and g.
20
Let m be (17/(-102))/(-1 + (-147670)/(-147676)). Let v = 4094 - m. Calculate the common denominator of v and 32/17.
153
Let m = -10306 - -164823/16. Let h be (4/75)/((-83)/3). Let w = h - -139057/16600. What is the common denominator of m and w?
16
Let m = -35643/62 - -575. Let r = 507 + -2033/4. What is the common denominator of r and m?
124
What is the common denominator of 39/46 and ((-92)/(-1150))/((-12)/(-565))?
690
Suppose 3*j - m = 2*m + 18, 4*j + m - 4 = 0. Suppose j*l + 8 = -4. What is the common denominator of (2/l)/(22/30) and -20?
11
Find the common denominator of (-297)/30 + 3/1 and ((-1)/5)/(2/43).
10
Let t = 5 - 1. Suppose o = -5*q + 26, 3*o = 2*q + t*o - 8. Calculate the lowest common multiple of ((-12)/(-5))/(q/15) and 11.
66
Let u be -5 - (-2 - 1/(-1)). Let w = -311/24 - -101/6. Calculate the common denominator of w and (89/(-24))/(u/(-6)).
16
Let v = 1 + 3. Suppose -b + 0*b + v = 0. Suppose 4*r - b = 20. What is the least common multiple of r and 10?
30
Let d = -2157/4 - -543. Calculate the common denominator of d and 65/6.
12
Let l be (-15)/(-3)*6/10. Suppose 0 = -l*c - 1 + 31. What is the least common multiple of 3 and c?
30
Let y = -7051247/132 + 53419. Calculate the common denominator of 21/16 and y.
528
Let f = 315647/25455 + -1/5091. Let o = 573790/27 - 21254. What is the common denominator of o and f?
135
Suppose -874 = -4*q + 366. Calculate the common denominator of q/(-12) - (-2 + 0) and -143/6.
6
Let f(b) = -b**3 + 5*b**2 + 5*b + 5. Let w be f(6). What is the lowest common multiple of ((-11)/4)/(w/(-8)*-2) and 12?
132
Suppose 0 = 2*u + 3*u - 60. Suppose -6*b + 80 = -2*b - 4*o, 0 = -b - 5*o - 10. Find the common denominator of (-2)/u + 112/b and -43/8.
40
Find the common denominator of (-136)/18 - (-21)/3 and 49/66.
198
Suppose -5*m = 10 - 5. Suppose 5*k - r = -6 - 22, -5*r - 5 = 4*k. Calculate the smallest common multiple of 1 and (m + -1)/(k/25).
10
Let s = 29706 - 1604275/54. What is the common denominator of -151/18 and s?
54
Let q = -122/547 + -27991/33914. Calculate the common denominator of q and -59/18.
558
Suppose 12 = -3*q, -8*j - 2*q = -6*j. Calculate the lowest common multiple of 2 and j.
4
What is the common denominator of ((1 - 1) + 59)*(-2)/42 and -13/57?
399
Suppose -z + 4*z + 4*v - 141 = 0, v = 0. Let c = z + -19. Calculate the common denominator of -67/18 and c.
18
Let i = -50771/8 - -6355. What is the common denominator of i and 39/11?
88
Let s(k) = -k**3 + 14*k**2 - 5*k - 100. What is the lowest common multiple of 714 and s(13)?
1428
Suppose 42 = 4*t + 2*b + 2, b = t - 10. What is the smallest common multiple of 4 and t?
20
Let l = -7/1333 + -51287/133300. Calculate the common denominator of l and 19/12.
300
Suppose -5*d + 20 = -15. Suppose 0 = -r + d. What is the lowest common multiple of r and 1?
7
Suppose o = 3*o. Suppose o = t - 2. Suppose p + t = 2*p. What is the lowest common multiple of 10 and p?
10
Calculate the common denominator of -3/20 and (-1)/((-411)/(-327) + -1).
140
Find the common denominator of (-2675)/(-800) + 1 + -4 and -123/40.
160
Let n = 4/25 - 91/100. What is the common denominator of n and 4/(-6) - 1396/(-168)?
28
Let b(m) = 23*m**3 + m + 1. Let v be b(-1). Let g = -20 - v. Suppose g*d - 18 = -0*d. Calculate the smallest common multiple of 10 and d.
30
Let w(i) = i + 5. Let j be w(-6). Let b = 7 - j. Calculate the least common multiple of 6 and b.
24
Let x = -121 + 222. Calculate the lowest common multiple of 5 and x.
505
Let o be (-254)/(-9) - (-4)/(-18). Suppose 6*i - o = -i. What is the smallest common multiple of i and 24?
24
Let l = -18 - -21. Find the common denominator of -55/18 and 1/l + (-177)/36*-2.
18
Let m(p) = 4*p**2 + 7*p + 3. Suppose -6*q = -0*q + 18. What is the lowest common multiple of 11 and m(q)?
198
Let k = -562/175 + 12/175. Find the common denominator of k and 10/943.
6601
Suppose 2*t = -7*t + 18. Suppose s + 0*s - 19 = -t*p, 5*s + 5 = 0. What is the least common multiple of 3 and p?
30
Let v = 685 + -655. What is the least common multiple of v and 176?
2640
Suppose 0 = -w - 4*q + 5*q, -2*q = 3*w. Let z = 0 + 0. Suppose -3*o + z + 30 = w. Calculate the least common multiple of o and 6.
30
Suppose 0 = -10*k + 6*k + 12. Calculate the common denominator of (k/4)/(3/(-46)) and -37/6.
6
Let j(z) = -5*z - 50. Suppose -2*f - 5 = -19. Calculate the lowest common multiple of f and j(-11).
35
Let k = 29 - 27. Let s(f) = -f**2 + 2*f. Let x be s(k). Suppose -n + 16 = -x*n. Calculate the lowest common multiple of n and 22.
176
Suppose 0 = -9*y + 23*y + 28. What is the common denominator of -47/2 and 10 - -13 - y/6?
6
Suppose 665 = 50*v - 85. What is the least common multiple of v and 160?
480
Let j = 4 + 0. Suppose 3*n - 3*s - 102 = -6*s, -3*s - 122 = -j*n. Suppose n = 4*m - 0. Calculate the least common multiple of 3 and m.
24
Let k be 1/(2*(-1)/(-22)). Let c = 7 - -59. Calculate the common denominator of -41/4 and (-153)/c + (-2)/k.
4
What is the lowest common multiple of (-11 - (-7 + -11)) + -5 and 767?
1534
Suppose -4325 = -17*c - 4308. Suppose 0 = 3*b - b - 6. What is the least common multiple of b and c?
3
Calculate the common denominator of 10/120*-13*(-21)/(-10) and -109/80.
80
Calculate the least common multiple of (228/380)/(-1 - 11/(-10)) and 56.
168
Suppose 8*q + 70 = 246. Suppose -4*s + q = 2*z, -17 = -2*z - s - 4. Calculate the smallest common multiple of z and 6.
30
Let y = -690 - -8255/12. Calculate the common denominator of 5 - ((-3575)/60)/13 and y.
12
Let z = -346 - -351. Calculate the least common multiple of 10 and z.
10
Let h = -15539 - -776839/50. Calculate the common denominator of h and -41/80.
400
Let b = 474077090/9 - 7574283953/144. Let i = -76041 + b. Calculate the common denominator of i and -31/6.
48
Suppose 0 = 4*p - 1 - 223. Calculate the least common multiple of 378 and p.
1512
Suppose -34 - 26 = -3*g. Suppose p + g = 6*p. Let t(v) = v + 4. What is the lowest common multiple of p and t(0)?
4
Let f be 3/((-804)/(-160) + -5). Let y = f + -111. What is the least common multiple of 24 and y?
72
Let o = -18 + 17. Find the common denominator of 3 - (o + 2 + (-190)/(-12)) and -3/112.
336
Suppose 67*u - 75*u + 48 = 0. What is the lowest common multiple of (-2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of 12 and k.
516
Let v(s) = 25*s**2 - s. Calculate the smallest common multiple of v(1) and (2 + 3/(-6))/(-16 - (-5772)/360).
360
What is the least common multiple of 900 and (-721)/21*-14 + (2 - (-16)/(-6))?
7200
Calculate the common denominator of ((-115)/(-252) + 15/60)*(-39)/195 and 41/210.
630
Let b be (2452078/(-8) - -2)/(-26). Let r = b + -11788. Calculate the common denominator of 3/(-12)*101 - (-90)/15 and r.
104
Suppose -2*i - 244 = -2*n, -382 = -6*n + 3*n - i. Find the common denominator of ((-1)/(-6) + 0)*n/4 and 14.
4
Let m(s) = -s**2 - 30*s + 69. Let j be m(-32). Suppose -2*p = j*p - 14. What is the lowest common multiple of 10 and p?
10
Let a = -2304875/32 + 60294365/736. Let f = a + -9906. Let c = f - -3131/322. What is the common denominator of -79/2 and c?
14
Let y(v) = 256 + 8 + 77*v**2 - 3*v - 76*v**2. What is the least common multiple of 6 and y(0)?
264
Let x be (-10)/40 + 2518/(-8). Let u = -275 - x. What is the lowest common multiple of u and 20?
40
Let k = 281/4 + -63. Let s = 8683601/1700 + -5108. Let g = s + -4931/1700. What is the common denominator of k and g?
20
Let u = 8783 - 8675. What is the least common multiple of u and 297?
1188
Let o = 53560128115/714 - 75014210. Let z = 24/119 - o. Find the common denominator of -41/70 and z.
210
Find the common denominator of 7*(-9)/(-3780)*(-4706)/221 and -49/850.
2550
Let i be (-260057)/(-14)*(-7)/56. Let b = 2320 + i. Let z = -30/41 - -2397/82. What is the common denominator of b and z?
16
Suppose -r - 4 = 2*p, -1144*p - 4 = 3*r - 1140*p. What is the least common multiple of 808 and r?
808
Let d(r) = -31 - 30*r + 9 + 72*r - 35*r. Let l be d(5). Calculate the common denominator of 18/624*-222 + 2/l and 21.
4
Let n = 2706 + -37853/14. Let f = 1599/44 + -221/11. What is the common denominator of f and n?
28
Let l = -2759 - -2755. Suppose 3*w - 5*w = -5*c + 149, c + 287 = -4*w. What is the common denominator of 81/8 and l/(-6) + 3/w*-530?
8
Let k(g) = 165*g**2 - 1234*g - 4. What is the smallest common multiple of 3648 and k(8)?
10944
Suppose z - 4 = 5*o + 20, -o = -3*z + 16. Suppose -5*x + 89 = 3*r, z*r + x = -3*x + 124. Calculate the lowest common multiple of r and 154.
462
Let w = 271 + -207. Calculate the least common multiple of w and 672.
1344
Let y = 3222 - 1538. Let o = -6813/4 + y. Find the common denominator of -99/4 and o.
4
What is the least common multiple of 181510/125 - 48/600 and 32?
11616
Suppose m + 13 = -2*n + 6*m, 3*n + 2 = 4*m. Suppose 0 = 3*z + 5*r + 367, r = n*z - 2*z + 451. Find the common denominator of (6/80)/(19/z) and -11/70.
140
Suppose -5*v = -4*u - 35, -7 - 3 = -u + 5*v. Suppose 6 = -2*g - 0*g. Find the common denominator of 52/11 and (183/u - g) + 10/25.
55
Find the common denominator of (312/117 - (-2941)/(-1104))/((-12)/159) and 9/320.
7360
Find the common denominator of 32/15 and 5*1 + -21*162/396.
330
Suppose 18 = c + 4*h, -5*c - 5*h = -43 + 13. What is the common denominator of ((-146)/16)/((-21)/(-28)) and (-2720)/(-528) - ((-4)/(-6))/c?
66
Let n(m) = 3*m**2 - 106*m - 293. Let j(q) = -q**2 + 2*q + 2*q**3 - q**2 - 1 + 0*q**2. What is the least common multiple of n(38) and j(2)?
11
Let q be 6/(-225)*6704402/(-4). Let k = q - 44695. What is the common denominator of -83/120 and k?
600
Let h = 266 - 272. What is the lowest common multiple of 25 and 29 + 4 - h/9*3?
175
Let l = -214 + 227. Calculate the common denominator of 1/(-2) + (-41)/l and 10.
26
Let r(y) = 8*y + 5. Let b be r(6). Suppose -32*c + 8576 = 66*c + 30*c. Let t = c - b. Calculate the smallest common multiple of t and 6.
42
Let c(t) be the first derivative of t**2/2 + 6*t - 289. Let n = -28 - -147. What is the smallest common multiple of n and c(3)?
1071
Suppose 0 = 3*l + 102 - 18. Let i = -22 - l. What is the smallest common multiple of i and (1 + 2 - 6)*-6?
18
Let f(q) = -q**2 - 6*q + 32. Let g be f(6). Calculate the common denominator of 5 + -2 - (-138)/132 and 106/g*(-3 - -2).
220
Let x(q) = -17*q - 8. Let l be x(0). What is the common denominator of 149/66 and l/28 - (-4)/((-504)/741)?
66
Suppose 20 = -4*q, 0*t + 2*t + 5*q - 143 = 0. What is the lowest common multiple of t and -8 + (-11)/((-66)/168)?
420
Let g = -8985 - -9039. Calculate the lowest common multiple of 648 and g.
648
Let o = -279785/24 - -11657. Calculate the common denominator of o and 55/123.
984
Let p = 1366688413/1446 - 945151. Find the common denominator of p and 7/8.
5784
Let k = 1203247/186 - 6469. What is the common denominator of -91/36 and k?
1116
What is the common denominator of (-62)/(-713)*55/(-6) and (459/90)/(2 + 46/(-14))?
690
Find the common denominator of (5751/6480)/(2/5) and -113/288.
288
Let v = -245 + 248. Suppose 2*c + c = 5*z + 190, -v*z = -2*c + 127. Calculate the smallest common multiple of c and 55.
715
What is the least common multiple of 52 and ((-25484)/92)/(1 + -2)?
14404
Calculate the common denominator of -3*(-855)/1782*3 and -77/24532.
269852
Suppose 2*k + 6 - 4 = 0, 4*k = q - 391. Let b = q - 367. Calculate the lowest common multiple of 4 and b.
20
Let x = 2936/83 + -3570487/101094. Calculate the common denominator of x and 37/63.
3654
Let k = -53 - -53. Let t be ((-111)/12 - k)/(45/187765). Let n = -38593 - t. Calculate the common denominator of n and 13/6.
36
Let a = -50307/28 - -1800. Find the common denominator of 127/18 and a.
252
Let n = 9/91 + -13775/2184. Find the common denominator of -139/648 and n.
648
Suppose -q - 6 = 5*o - 48, -2*o - q = -18. Calculate the smallest common multiple of o and ((-15)/(-5))/((-30)/(-20)).
8
Let i be 3*(-2 + (-24)/(-9)). Suppose -b = -i - 10. Let d(z) = -3*z**2 - 24*z - 23. What is the smallest common multiple of b and d(-5)?
132
Let a(y) = -y**2 + 7*y + 5. Calculate the lowest common multiple of a(6) and (-1)/(1*(-9)/45).
55
Let a = 29 + -20. What is the common denominator of (-10)/4 - a/((-378)/833) and ((-10)/(-12))/((-3)/3)?
6
Suppose 0 = 3*h - 86 + 77. Let o be (-25914)/(-77904) - 1/h. Let n = o + 104963/12984. Find the common denominator of n and -13/170.
1020
Let y(a) = -24*a**3 - 4*a - 61*a**2 + 61*a**2. Let x be y(3). What is the common denominator of (-3609)/x + 10/55 and 63/20?
20
Suppose -25188 = -22*w + 41978. Calculate the least common multiple of 86 and w.
6106
Suppose -s - 10 = 2*x - 5*s, x = -4*s + 13. Calculate the lowest common multiple of 253/69 - x/(-3) and (-147)/(-5) + (-2)/5.
116
What is the common denominator of (1/6)/((-15)/23) and 16346/539*(-7)/(-18) + -12?
630
Let i be 153*(10/(-3) + 2). What is the common denominator of (i/119)/(-1 + -1) and 16/(-5) + 3 - 1672/(-385)?
7
Let h be 1/1*(-8 + -10). Let s be 4/h*(-3 - 464298/(-40)). Let k = -2578 - s. Calculate the common denominator of k and -11/10.
30
Let o(a) = -a**2 + 6*a - 1. Let f be o(5). Let b be (0 - f - -4) + 3. Calculate the smallest common multiple of 20 and b*(1 - 0) - 6/(-2).
60
Suppose 0 = -4*r - 4, -4*r = -10*c + 11*c - 716. Calculate the lowest common multiple of 912 and c.
13680
Let g = -2/7 + 109/14. Suppose 0 = -z - 117 - 30. Calculate the common denominator of g and (-177)/(-2)*7/z.
14
Let w = 54762/85 + -19277703/29920. What is the common denominator of 23/240 and w?
5280
Let u(v) = -391*v + 10316. What is the lowest common multiple of 8 and u(22)?
6856
Calculate the common denominator of (99/88)/9 - 3 and (-796)/112 - (-6)/2.
56
Let c(v) = -v**3 + 10*v**2 + 8*v + 35. Let m be c(11). Suppose -g - 1 = m*s, 0 = -3*g + 2*g - 5*s - 10. Calculate the smallest common multiple of 45 and g.
45
Suppose 3*a + n - 97 = -33, -5*a + 2*n = -125. Calculate the lowest common multiple of 31 and a.
713
Find the common denominator of (-2)/(-26334)*1291 - (-106)/(-1007) and 37/7.
693
What is the common denominator of ((-31)/7)/(59/((-11977)/348)) and 29/28?
84
Let a(v) = v**2 + 6*v + 2. What is the smallest common multiple of a(-7) and (1806/172)/(1/2)?
63
Suppose 28*s = -63*s + 1496 + 142. Calculate the least common multiple of 1392 and s.
4176
Let p = -46331 - -556009/12. Calculate the common denominator of p and (-19)/(-96) + (-1)/(-3).
96
Let x(a) = -9*a - 59. Let v(l) = 8*l + 49. Let o(b) = 6*v(b) + 5*x(b). Suppose -3*m + 32 = 11. What is the least common multiple of o(m) and 24?
120
Let i = -111069/4 + 62976215/2268. Calculate the c
|
{
"pile_set_name": "DM Mathematics"
}
|
= 1251790 + 106360. What is the ten thousands digit of k?
1
Let h be (-4)/7 + (10 - (-7190)/14). Suppose 25 = 5*c, 2*c + 142 - h = -p. What is the units digit of p?
1
Suppose -4*l = -3*n - 53, -4*n = -4*l + 2*l + 24. Let d be 40/l - (-7)/49. Suppose y = -d*y + 12, -5*a + 131 = 2*y. What is the tens digit of a?
2
Suppose -22*h = -3*l - 19*h - 5301, 3*l = h - 5307. Let z = l + 2567. What is the hundreds digit of z?
7
Let k be (6 - 31/5) + (-22)/(-10). What is the hundreds digit of (-1 + -3 + 79)*(3 + k)?
3
Suppose 3 - 9 = 2*f + 4*k, 5*f = -5*k - 20. What is the hundreds digit of ((-8)/(-8))/(f/(-4835))?
9
Let a(b) = -2*b**3 - 32*b**2 + 33*b - 13. Let g be a(-17). Suppose 2002 = 2*z - 2*m, m = 2*z - g*z + 1987. What is the hundreds digit of z?
9
Let q = 9083 - 3573. What is the hundreds digit of q?
5
Let i(w) = -w**3 - 20*w**2 - 24*w - 64. Suppose 27*p + 742 - 202 = 0. What is the tens digit of i(p)?
1
Let l be ((-1)/(-3))/((-8)/(-8472)). Suppose -o - 3*v + l = -0*o, o - 4*v = 367. Suppose 371 = 10*k - o. What is the units digit of k?
3
Let u be 114/27 - 4/18. Let h be (-2)/(0 + u/(-560)). Suppose -3*a - 4*k = -h, 290 = -a + 4*a - k. What is the units digit of a?
6
Let y = 584 + 5726. What is the hundreds digit of y?
3
Suppose -6*l + 2833 + 36749 = 0. What is the units digit of l?
7
Suppose -7*r = 13 - 27. Let m(u) = 158*u**3 - 4*u**2 + 5*u - 4. What is the thousands digit of m(r)?
1
Let b = 1061 + -687. Suppose -6*f = -370 - b. What is the hundreds digit of f?
1
Suppose 0 = 41*i - 31*i - 108930. What is the units digit of i?
3
Let r = 2043 - -16484. What is the hundreds digit of r?
5
Suppose 34*k + 120*k - 3470576 = 1179762. What is the hundreds digit of k?
1
Let k = -858 - -19087. What is the units digit of k?
9
Suppose y - 12 = 7*y. Let d be -2 + (-3 - y) + 3. Suppose -2*j + 42 = v, d = 4*j + 2*v + v - 86. What is the tens digit of j?
2
Let o = 61 - 49. What is the tens digit of 2/3 + 1948/o?
6
Suppose -k - j - 37 = 0, -7*k + 3*k + 3*j - 141 = 0. What is the hundreds digit of -62*(-2 + k/8) - 4?
3
Let z(x) = -256*x**2 + 448*x + 10. Let v(m) = -171*m**2 + 299*m + 7. Let d(y) = 7*v(y) - 5*z(y). What is the units digit of d(5)?
9
Let s(o) = 5*o**2 + 8*o + 229. What is the tens digit of s(37)?
7
Let l be ((-4)/(-3) + 0)*(-3)/(-2). Suppose -s + 432 = 2*p, 0 = l*s + 2*p - 283 - 589. What is the tens digit of s?
4
Suppose 0 = -876*i + 880*i - 30300. What is the tens digit of i?
7
Let y = -38 + 43. What is the tens digit of 2 - (y - 234) - -3?
3
Let v(b) = b**3 + b**2 - 4*b - 40. Let n(i) = -4*i**3 - 2*i**2 + 10*i + 118. Let c(g) = 5*n(g) + 14*v(g). What is the tens digit of c(-5)?
1
Suppose 36*b + 7513 = 38*b - 3*q, -2*b - q = -7509. What is the tens digit of b?
5
Let z = 10538 + -1219. What is the hundreds digit of z?
3
Let n = 120 - 112. What is the tens digit of (n + (-22)/3)*39*13?
3
Let q = -36061 - -98593. What is the hundreds digit of q?
5
Let z(k) = 16*k**2 - 3*k - 50. Let w be z(7). Let u = 1249 - w. What is the tens digit of u?
3
Let v be (50/30)/((-2)/(-1332)). Suppose 4*b + v = 2*i, 0 = 6*i - 10*i - b + 2229. What is the hundreds digit of i?
5
Suppose -a + 50 = 4*a - 5*x, -a + 22 = 5*x. Suppose 0 = -f - 48 - 31. Let t = a - f. What is the units digit of t?
1
Let g(m) be the second derivative of m**5/20 + 25*m**4/12 - 11*m**3/6 - 29*m**2 + 97*m. What is the hundreds digit of g(-25)?
2
Let c = -34 - -24. Let j(l) = -l + 6. Let d be j(c). Suppose 13*h = d*h - 192. What is the units digit of h?
4
Suppose -3238596 = -125*t + 601154. What is the ten thousands digit of t?
3
Suppose 0 = -4*a - 1487 + 5863. Let h = a - 730. What is the hundreds digit of h?
3
Let d(a) = 406*a - 1507. What is the thousands digit of d(20)?
6
Suppose 190*k + 2302072 = 6061117 + 11848695. What is the hundreds digit of k?
1
Let k be (113103/(-3))/(-9) + 9. What is the tens digit of k/7 + 72/252?
0
Suppose 4 = -4*s, -n - 354 + 1724 = 4*s. Let k = 2433 - n. What is the thousands digit of k?
1
Let a(q) = -1 + 126*q + 438*q + 0 + 6. What is the units digit of a(1)?
9
Let l = 55389 - -5554. What is the hundreds digit of l?
9
Let h be (-2)/27*-996 - (-8)/36. Let v = h - -207. What is the tens digit of v?
8
What is the units digit of -3*(4/(-6) - (-12 + 124))*27?
6
Let h(i) be the third derivative of 0 + 3/10*i**5 + 1/3*i**3 - 33*i**2 + 0*i + 1/8*i**4. What is the units digit of h(2)?
0
Suppose -4*k = 3*p - 102, 150 = 4*p - k - 5. Suppose 35*g = p*g - 1083. What is the units digit of g?
1
What is the units digit of 495 + 1 + -2 + 514/514?
5
Suppose -5*y + 114569 = n, 91690 = -3*y + 7*y - 5*n. What is the hundreds digit of y?
9
Suppose 3684866 = 40*m - 8*m + 35*m. What is the ten thousands digit of m?
5
Suppose 15*d = 18*d, 0 = -14*s + 5*d + 94486. What is the thousands digit of s?
6
What is the hundreds digit of (-3670)/(-2) + -3 - (5 - -4 - 1)?
8
Let l = -1012 - -5130. What is the tens digit of l?
1
Suppose o + 45*c - 892 = 40*c, 0 = 5*o - 5*c - 4580. What is the hundreds digit of o?
9
Let t = 41 - 38. Let l(m) = -53*m**3 + 2*m**2 - 2. Let i(u) = 107*u**3 - 5*u**2 + 5. Let v(j) = t*i(j) + 7*l(j). What is the tens digit of v(-1)?
5
Let r = 225 - -4244. What is the hundreds digit of r?
4
Suppose -77*q = 265*q - 5864958. What is the tens digit of q?
4
Suppose -10*w = -15820 + 1140. What is the hundreds digit of w?
4
Let r be (3 - 1 - 1) + -160. Let f be (-9 - 11/(-22))*10. Let g = f - r. What is the tens digit of g?
7
Let m(f) = f**3 - 19*f**2 + 57*f - 266. What is the units digit of m(19)?
7
Suppose -2*i + 2*p = 0, -2*p + 1 = -2*i + p. Let j be (i/2)/((-5)/10). What is the tens digit of (-3)/3*j*85?
8
Suppose 31440 = -123*m + 133*m. What is the tens digit of m?
4
Let k(q) = -q**3 + 11*q**2 + 12*q - 10. Let p be k(12). Let s be (p/(-6))/(5 - (-100)/(-24)). What is the tens digit of ((-942)/(-12))/((-5)/s + 3)?
5
Suppose -195*x + 5*v = -194*x - 13629, -2*v = 3*x - 40768. What is the hundreds digit of x?
5
Suppose -5*g + 10 = 0, 2*g = -2*p - 3*p + 659. Let v = -221 + p. Let h = v + 147. What is the units digit of h?
7
Let z(l) be the third derivative of l**5/60 + l**4 + 9*l**3/2 - l**2 - 9. What is the hundreds digit of z(11)?
4
Suppose -4*d - 4*r = 0, 3*d - 3*r = -4*r - 8. What is the units digit of (82/d)/((-2)/60*3)?
5
Let n(j) = -j**3 + 34*j**2 + 211*j + 19. What is the hundreds digit of n(23)?
6
Let n = -52 - -56. Suppose l + 3*l = -n*r + 124, -l + 37 = -2*r. Let q = l - 13. What is the units digit of q?
0
Let i(g) = 62*g**2 + 111*g - 2233. What is the thousands digit of i(19)?
2
Let f be ((-2)/5)/(104/260). Let w(x) = 1 - 3 + x + 3 - 5*x**3. What is the units digit of w(f)?
5
Let k(m) = -8*m**2 - 15*m + 4. Let u be k(-4). Let z = -49 - u. Suppose -3*t - z - 59 = -d, t = 5. What is the units digit of d?
9
Let y = -22 - -28. Let j be 18*((-3 - -2) + 2/y). What is the units digit of (j/18)/(1/(-9))?
6
Suppose 4*o - 8 = -3*l, -27 + 23 = -2*l - 2*o. Suppose -16 = -4*c, 2*q - c - 1648 = c. Suppose l = -5*m - m + q. What is the tens digit of m?
3
Let s(a) = a**3 + 9*a**2 - 41*a + 1. Let x be s(-12). Let b = 520 + x. What is the units digit of b?
1
What is the thousands digit of (-3083768)/(-264) + 32/528?
1
What is the units digit of (-8)/(-256) + (-1431166)/(-64)?
2
Let b = -22894 + 32466. What is the hundreds digit of b?
5
Let r(s) = 14*s - 2. Let d be r(2). Let t = d + -22. Suppose t*j - 355 = -111. What is the units digit of j?
1
What is the tens digit of -1439*(-3 + -8 + 7) + -1?
5
What is the thousands digit of (65/26)/((-185)/(-2852404))?
8
Let d(g) = 3*g**2 - 5*g + 1. Let o be d(6). Let v(w) = 2*w**3 + 7*w**2 + 27*w + 84. Let y be v(-4). Let p = y + o. What is the tens digit of p?
3
Suppose 3*v = -7*x + 4*x - 3309, x - 4392 = 4*v. Let m = v + 1962. What is the units digit of m?
3
Let v = 21015 - 13869. What is the tens digit of v?
4
Suppose 2*a - 4*i = 7*a + 22, 16 = -3*a - i. Let y(x) = 2*x**3 + 15*x**2 + 4*x - 2. Let b be y(a). Let u = -48 + b. What is the units digit of u?
4
Let f(h) = -h**3 - 4*h**2 + 4*h + 3. Let b be f(-5). Suppose 2*s = 4*g + 740, -b*s + 3*s = -g - 1805. What is the tens digit of s?
6
Let b(l) = -l**2 + 8*l + 35. Let h be b(11). What is the units digit of -2*h/4*(-176 - 2)?
8
Let v(a) = -a**3 + 14*a + 3. Suppose -30 = 7*f + 12. What is the hundr
|
{
"pile_set_name": "DM Mathematics"
}
|
at most as big as a?
False
Let n = -2.1 - -1.6. Is n smaller than -0.2?
True
Let d(h) = -2*h**3 + h**2 - 1. Let s(t) = t**3 + 2*t**2 - 2*t + 2. Let z be s(-3). Let j be d(z). Let p be 3/j*4/2. Which is smaller: 4 or p?
p
Let f = -3.02 - -0.02. Let n = f - -6. Which is greater: -3/5 or n?
n
Let p = -22 + 21. Which is bigger: p or -4/9?
-4/9
Let f be 8/(-52) + (-2)/(-13). Is f at most as big as -1/33?
False
Suppose p = -3*i + 3 - 5, 3*i = 2*p + 4. Which is greater: p or 1?
1
Let y = 765/7 - 109. Does -1 = y?
False
Let j = 2.2 - 2. Let w = 0.12 - 0.22. Which is bigger: w or j?
j
Let x(b) be the first derivative of 9*b**2/2 - 13*b - 3. Let u(i) = 5*i - 6. Let l(k) = -5*u(k) + 3*x(k). Let m be l(7). Is m smaller than -0.1?
False
Let b = -33 + 61. Let o be (-7 + -1)*(-21)/b. Is o equal to 8?
False
Suppose 0 = -3*c + 3*n + 12, -2*c = -5*c - 5*n + 4. Which is bigger: c or 0?
c
Let h be ((-27)/15)/((-1)/5). Let t = h - 6. Which is bigger: -1 or t?
t
Let u(h) = -2*h**2 - h**3 - 2*h**2 + 5*h - h**2 - 4. Let b be u(-6). Suppose 3*x + t = 8, 12 = -5*x + 4*t - 3. Which is smaller: x or b?
x
Let w(a) be the third derivative of a**5/60 + 5*a**3/6 - 3*a**2. Let t be w(0). Let u = -13 - -18. Is u <= t?
True
Let h(r) = -3*r**3 - r**2 + r - 7. Let c(n) = -13*n**3 - 3*n**2 + 3*n - 29. Let i(m) = 2*c(m) - 9*h(m). Let q be i(-4). Which is bigger: q or -2/9?
q
Let a be 3 + (0 - -2 - 1). Let c = a - 0. Is c less than or equal to 4?
True
Let f(j) = -j**2 + 9*j. Let t be f(9). Which is greater: t or 2/37?
2/37
Let s = 6/11 - 34/143. Is s less than 1?
True
Let o be (-16)/(-99) - (-22)/(-121). Which is smaller: 1 or o?
o
Let z(d) = d**2 + 8*d - 9. Let g be z(-9). Is g != 8/7?
True
Let p = 8 - 8.8. Let i = -0.1 + 0.8. Let s = p + i. Is 6 greater than s?
True
Let z = 11 - 22. Let c = z + 12. Is c smaller than 4?
True
Let f(h) = h - 2. Let l be f(2). Suppose l*w = 2*w + 2. Let m be 1/(-3) - (-2)/3. Which is bigger: w or m?
m
Suppose 4*p = 3*f + p + 39, -4*f - p - 72 = 0. Is f less than -17?
False
Let z = 0 - 0.1. Let m = -11.866 + -0.234. Let h = m + 12. Is h >= z?
True
Let u be ((-8)/(-22))/(-1 + 2). Which is bigger: u or 0?
u
Let x = -1.9 - -2. Suppose b - 7 = 2*s, 5*b - 10 - 11 = -4*s. Let y be ((-2)/35)/(s/10). Is y less than or equal to x?
False
Let t be (0 + 1)/(9/(-3)). Let b = 123037/28 + -4392. Let u = b - 17/7. Which is smaller: t or u?
t
Let z = 34 + -58. Let d be ((-6)/1)/((-15)/10). Let c be (4/z)/(1/d). Which is smaller: c or -2?
-2
Suppose -2*f = 22 - 50. Which is smaller: 10 or f?
10
Let u(g) = -2*g**3 + 19*g**2 - 4*g - 6. Let q be u(10). Is q at least as big as -146?
True
Let g be (-2)/(-1) - 1/((-2)/(-46)). Which is bigger: -20 or g?
-20
Let w(h) = -2*h + 1. Let g be w(0). Let x be g/4 + 25/(-20). Suppose -u + 10 = -6*u. Are u and x nonequal?
True
Let x = -0.52 + -36.48. Which is smaller: -2 or x?
x
Let t = 3218 + -685432/213. Is t not equal to 1?
True
Let n(c) = -7*c**2 - 7*c - 2. Let a(m) = -m**3 - m**2. Let z(t) = -a(t) + n(t). Let g be z(7). Which is smaller: 0 or g?
g
Let g = 59 - 41. Suppose -g = 4*o + 3*j - 0, -1 = 3*o - 4*j. Let i be (o + 2)*(-4)/(-3). Is 0 <= i?
False
Suppose 2 + 0 = -2*l. Let a(z) be the second derivative of -z**3/6 - 7*z**2/2 + z. Let u be a(-8). Is u at most l?
False
Let x = -0.21 - -0.15. Let r = -31/3 + 29/3. Is x less than or equal to r?
False
Let g be (5 + 0 - 1) + 1. Suppose -g - 19 = -3*d. Suppose -3*s + s = -d. Is s > 5?
False
Let z(t) = t**2 + 13*t - 72. Let p be z(-18). Is p greater than or equal to 18?
True
Suppose 2*a + 6 = 3*a. Suppose -4*w = 5*q - 16, a*q = q + 3*w - 12. Which is smaller: 9 or q?
q
Let i = 0 - -17. Let x = i + -12. Suppose 2*h + 21 = -5*l, 4*l + x + 11 = -2*h. Is 3 bigger than h?
True
Let i(t) = -4*t - 20. Let v be i(-7). Which is greater: v or -3/2?
v
Let a = -1 - -0.8. Let u = -0.25 - -1.25. Which is smaller: a or u?
a
Let f = -107 + 108. Let i = -0.2 - -0.1. Which is bigger: i or f?
f
Suppose 0 = 4*a + 3*l - 0 - 4, 4*l + 28 = 3*a. Suppose -a*m + 11 = -9. Suppose 2*s = j - 9, -j - 19 = -0*j + m*s. Which is smaller: j or 0?
0
Suppose -3*s + 4 = -s. Suppose 2*a = -s*a - 4. Let w be (a/2)/((-2)/4). Which is bigger: -1/6 or w?
w
Let q(k) = k**3 - 4*k**2 + 2*k - 5. Let w be q(4). Let n = -3 + w. Which is bigger: -1 or n?
n
Let y(t) be the first derivative of t**3/3 - 5*t**2 + 8*t + 2. Let a be y(9). Is a at most as big as 6?
True
Let j = 91 + -86.1. Let x = j - 4. Let m = 2.9 - x. Is m < -2?
False
Let c be ((-1)/(-23))/(2 + -3). Is -1/3 at most c?
True
Suppose 3*j + 2*h = 85 + 241, h = -j + 107. Let y = 2127/19 - j. Are 0 and y nonequal?
True
Let s = -107 - -110. Is s greater than or equal to 4?
False
Suppose 3*t = 8 - 23. Which is greater: -6 or t?
t
Let h(q) = -q**3 + 3*q**2 - 2. Let f be h(2). Let l be 3 - (-1 - (f + -5)). Let w be ((-20)/15)/((-4)/(-6)). Which is smaller: w or l?
w
Let s be -2 + 4 - (-6)/(-4). Let i be ((-2)/45*5)/(2/3). Which is smaller: i or s?
i
Let y be 4/6 - (-44)/(-12). Which is greater: -2 or y?
-2
Let h(c) = -c + 1. Let y be h(-6). Let q be y/3 + (-1)/3. Let s be (-16)/(0 + q) - -1. Is -6 less than or equal to s?
False
Let u = -7 - -7. Let b be (-2)/8 - 2/4. Is u != b?
True
Let p = 1.98 - -0.02. Let w = 3 - 4. Let v = 0 - w. Which is smaller: v or p?
v
Let x be 8/(-20)*(3 + -5). Which is smaller: x or 1?
x
Let k = 4252/657 + -58/9. Is k != -1?
True
Let p be ((-15)/(-8))/(36/(-48)). Let y be 0 - 2 - (-1 + 1). Is p at least y?
False
Let r be 3/5 - 26/(-65). Is 2/25 bigger than r?
False
Suppose -11 - 16 = 3*l. Are l and -9 nonequal?
False
Let h be 5*-1 - 3/(-3 + 6). Are -13/2 and h equal?
False
Let m = 0.23 + -14.23. Let b = 13.9 + m. Which is smaller: b or -13?
-13
Let k = 0.27 + -11.27. Let v = -12.4 - k. Are v and -1 equal?
False
Suppose 0 = 4*k - t, -2*k = -3*t + 7 + 3. Which is smaller: 0 or k?
0
Let w = -0.077 + 0.025. Is 1 > w?
True
Let w(f) = -4*f**3 - f + 1. Let l = 16 - 15. Let b be w(l). Is b != -5?
True
Suppose 62 = -4*a - 22. Let d = a - -20. Is d at most -2/31?
True
Let m = -12 + 11. Is -1/34 smaller than m?
False
Suppose 0 = -4*n + 2*r - 6, 3*r = -n - r + 12. Let g = -727/63 + 80/7. Which is bigger: n or g?
n
Let g be 0/2 + 9/(-4). Suppose -8 = h - 2*v, 4*v + 16 = 2*h - 4*h. Let b be 3/(-9) - h/(-3). Which is bigger: g or b?
g
Let x = -26.02 + 26. Is -1 <= x?
True
Let u be (-39)/84 + 15/20. Suppose 4 = 2*o + 2*o. Are u and o non-equal?
True
Let t = 25.33 - 22.4. Let w = t - -0.07. Is w greater than or equal to 1/4?
True
Let l = -8 + 4. Which is bigger: 0.2 or l?
0.2
Let v(z) = z + 1. Let b be v(2). Suppose 7*t = 10*t - 6. Which is smaller: t or b?
t
Let s(k) be the second derivative of k**4/12 - k**3/6 - 2*k. Let v be s(0). Let n be 0 + 0 + (-4)/14. Which is smaller: n or v?
n
Suppose 4*q + c = -3*c - 24, 3*c = -5*q - 22. Let v = 0.6 + -0.3. Do v and q have the same value?
False
Suppose 5*b - 10 + 50 = 0. Let t be (-28)/(-6)*6/(-4). Which is greater: b or t?
t
Let m = -303/385 + -1/77. Which is smaller: m or -1?
-1
Let u(w) = -w + 7. Let i be u(5). Suppose -5*a + 2 + 13 = 0. Let f = i - a. Which is greater: 1/5 or f?
1/5
Let t = -0.1 + -1.7. Let l = t + 1.8. Which is smaller: 0.04 or l?
l
Let n be (4 - (0 + 4))/2. Do n and -5/6 have the same value?
False
Let u = -9/2 + 19/4. Which is bigger: u or 0.03?
u
Let u = 0.35 - 0.35. Is u > -0.12?
True
Let t(j) = j. Let p(k) = 6*k + 2. Let q(m) = -p(m) - 3*t(m). Let a be q(-7). Let s = 303/5 - a. Do 0 and s have different values?
True
Let j(f) be the first derivative of f**3/3 - 5*f**2 - 5*f + 4. Let y be j(11). Let u be (-3 + 16/y)*3. Which is greater: u or 3/11?
3/11
Let s = 28 - 16. Let y be s/4 + 2/2. Is y at most as big as 3?
False
Let t be 2/(-2)*3*-1. Let z(d) be the first derivative of -d**2/2 + 5*d - 3. Let a be z(t). Is 2 greater than or equal to a?
True
Suppose 0 = -2*h - 4*r + 22, -4*r - r + 5 = -2*h. Suppose 0 = -3*u - 7 - 2, 2*a + h*u = -19. Are -2 and a equal?
True
Let m = -20 - -12. Let x = m + 6. Suppose 2*q = -4 + 2. Which is smaller: x or q?
x
Let m be ((-62)/(-3))/(10/715). Let v = m - 22597/15. Let h = v - -1574/55. Is -1 at least h?
False
Suppose -y - 27 = 4*y + 2*c, 5*y + 20 = 5*c. Let n = y + 8. Does 2 = n?
False
Let b = 39 + -37. Let i be 1*-1*(-3 + 2). Which is greater: b or i?
b
Let o = -
|
{
"pile_set_name": "DM Mathematics"
}
|
inder when 398 is divided by 258.
140
What is the remainder when 9245 is divided by 18?
11
What is the remainder when 1193 is divided by 394?
11
What is the remainder when 16868 is divided by 148?
144
What is the remainder when 11230 is divided by 11?
10
Calculate the remainder when 169 is divided by 40.
9
Calculate the remainder when 282 is divided by 80.
42
What is the remainder when 484 is divided by 9?
7
What is the remainder when 235 is divided by 96?
43
What is the remainder when 100 is divided by 2?
0
Calculate the remainder when 498 is divided by 105.
78
What is the remainder when 428 is divided by 54?
50
What is the remainder when 272 is divided by 21?
20
Calculate the remainder when 41 is divided by 18.
5
What is the remainder when 130 is divided by 59?
12
What is the remainder when 424 is divided by 13?
8
Calculate the remainder when 1951 is divided by 93.
91
What is the remainder when 410 is divided by 25?
10
What is the remainder when 230 is divided by 34?
26
What is the remainder when 2133 is divided by 22?
21
Calculate the remainder when 583 is divided by 98.
93
Calculate the remainder when 45 is divided by 23.
22
What is the remainder when 206 is divided by 58?
32
What is the remainder when 3638 is divided by 14?
12
Calculate the remainder when 7821 is divided by 289.
18
What is the remainder when 275 is divided by 30?
5
What is the remainder when 848 is divided by 209?
12
What is the remainder when 1877 is divided by 4?
1
Calculate the remainder when 748 is divided by 58.
52
What is the remainder when 2105 is divided by 124?
121
Calculate the remainder when 104 is divided by 22.
16
Calculate the remainder when 1676 is divided by 35.
31
Calculate the remainder when 502 is divided by 142.
76
Calculate the remainder when 914 is divided by 66.
56
Calculate the remainder when 394 is divided by 57.
52
Calculate the remainder when 42 is divided by 9.
6
What is the remainder when 920 is divided by 19?
8
Calculate the remainder when 237 is divided by 49.
41
Calculate the remainder when 632 is divided by 313.
6
Calculate the remainder when 105 is divided by 22.
17
Calculate the remainder when 1002 is divided by 437.
128
What is the remainder when 3636 is divided by 281?
264
What is the remainder when 142 is divided by 59?
24
Calculate the remainder when 83 is divided by 54.
29
Calculate the remainder when 581 is divided by 8.
5
Calculate the remainder when 3470 is divided by 184.
158
Calculate the remainder when 154 is divided by 12.
10
Calculate the remainder when 556 is divided by 92.
4
What is the remainder when 1793 is divided by 78?
77
Calculate the remainder when 406 is divided by 143.
120
Calculate the remainder when 264 is divided by 51.
9
Calculate the remainder when 210 is divided by 37.
25
What is the remainder when 75 is divided by 19?
18
Calculate the remainder when 409 is divided by 31.
6
Calculate the remainder when 208 is divided by 11.
10
Calculate the remainder when 369 is divided by 31.
28
What is the remainder when 129 is divided by 20?
9
Calculate the remainder when 312 is divided by 45.
42
Calculate the remainder when 68 is divided by 4.
0
What is the remainder when 78 is divided by 43?
35
Calculate the remainder when 549 is divided by 140.
129
Calculate the remainder when 2141 is divided by 17.
16
What is the remainder when 317 is divided by 2?
1
Calculate the remainder when 885 is divided by 294.
3
What is the remainder when 87 is divided by 46?
41
What is the remainder when 6044 is divided by 93?
92
Calculate the remainder when 121 is divided by 92.
29
What is the remainder when 130 is divided by 19?
16
What is the remainder when 2357 is divided by 59?
56
Calculate the remainder when 418 is divided by 28.
26
What is the remainder when 890 is divided by 12?
2
Calculate the remainder when 71 is divided by 18.
17
What is the remainder when 313 is divided by 303?
10
What is the remainder when 29914 is divided by 9?
7
What is the remainder when 136 is divided by 35?
31
What is the remainder when 492 is divided by 26?
24
Calculate the remainder when 266 is divided by 63.
14
What is the remainder when 175 is divided by 16?
15
Calculate the remainder when 825 is divided by 205.
5
What is the remainder when 128 is divided by 11?
7
Calculate the remainder when 94 is divided by 24.
22
Calculate the remainder when 359 is divided by 73.
67
What is the remainder when 259 is divided by 66?
61
What is the remainder when 2516 is divided by 72?
68
Calculate the remainder when 945 is divided by 74.
57
What is the remainder when 526 is divided by 86?
10
Calculate the remainder when 270 is divided by 34.
32
Calculate the remainder when 536 is divided by 16.
8
Calculate the remainder when 33574 is divided by 25.
24
What is the remainder when 502 is divided by 44?
18
Calculate the remainder when 483 is divided by 4.
3
What is the remainder when 36 is divided by 14?
8
Calculate the remainder when 79 is divided by 24.
7
What is the remainder when 4344 is divided by 394?
10
What is the remainder when 221 is divided by 139?
82
Calculate the remainder when 223 is divided by 71.
10
Calculate the remainder when 337 is divided by 68.
65
What is the remainder when 2962 is divided by 38?
36
What is the remainder when 34 is divided by 15?
4
Calculate the remainder when 120 is divided by 33.
21
Calculate the remainder when 31 is divided by 12.
7
What is the remainder when 166 is divided by 22?
12
What is the remainder when 1617 is divided by 45?
42
What is the remainder when 1607 is divided by 95?
87
What is the remainder when 3216 is divided by 37?
34
What is the remainder when 9499 is divided by 76?
75
What is the remainder when 278 is divided by 155?
123
Calculate the remainder when 925 is divided by 101.
16
Calculate the remainder when 365 is divided by 6.
5
Calculate the remainder when 50 is divided by 6.
2
Calculate the remainder when 152 is divided by 14.
12
Calculate the remainder when 103 is divided by 21.
19
Calculate the remainder when 95930 is divided by 153.
152
What is the remainder when 4434 is divided by 29?
26
Calculate the remainder when 1732 is divided by 178.
130
What is the remainder when 269 is divided by 30?
29
Calculate the remainder when 34 is divided by 11.
1
What is the remainder when 169 is divided by 52?
13
Calculate the remainder when 347 is divided by 59.
52
What is the remainder when 42 is divided by 20?
2
What is the remainder when 1114 is divided by 15?
4
Calculate the remainder when 5935 is divided by 56.
55
Calculate the remainder when 2159 is divided by 60.
59
Calculate the remainder when 956 is divided by 43.
10
What is the remainder when 4778 is divided by 954?
8
Calculate the remainder when 255 is divided by 70.
45
Calculate the remainder when 1024 is divided by 18.
16
What is the remainder when 3065 is divided by 26?
23
What is the remainder when 1374 is divided by 27?
24
What is the remainder when 202 is divided by 42?
34
Calculate the remainder when 6883 is divided by 153.
151
What is the remainder when 1292 is divided by 148?
108
Calculate the remainder when 62 is divided by 23.
16
What is the remainder when 1895 is divided by 16?
7
Calculate the remainder when 279 is divided by 65.
19
What is the remainder when 1151 is divided by 185?
41
What is the remainder when 9 is divided by 7?
2
Calculate the remainder when 234 is divided by 44.
14
What is the remainder when 981 is divided by 31?
20
Calculate the remainder when 90 is divided by 13.
12
Calculate the remainder when 350 is divided by 69.
5
Calculate the remainder when 111 is divided by 98.
13
Calculate the remainder when 305 is divided by 117.
71
What is the remainder when 58 is divided by 6?
4
What is the remainder when 369 is divided by 54?
45
What is the remainder when 249 is divided by 68?
45
Calculate the remainder when 13572 is divided by 20.
12
Calculate the remainder when 39 is divided by 21.
18
What is the remainder when 8007 is divided by 89?
86
Calculate the remainder when 122 is divided by 41.
40
Calculate the remainder when 656 is divided by 216.
8
Calculate the remainder when 2783 is divided by 42.
11
Calculate the remainder when 362 is divided by 31.
21
What is the remainder when 3118 is divided by 120?
118
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
64.
2, 19079
List the prime factors of 750867.
3, 13, 1481
List the prime factors of 801508.
2, 151, 1327
What are the prime factors of 888634?
2, 41, 10837
List the prime factors of 2869766.
2, 1434883
List the prime factors of 121168.
2, 7573
What are the prime factors of 1069540?
2, 5, 53, 1009
List the prime factors of 232529.
11, 21139
List the prime factors of 502272.
2, 3, 109
List the prime factors of 607062.
2, 3, 23, 53, 83
What are the prime factors of 7650469?
2179, 3511
List the prime factors of 3901043.
3901043
What are the prime factors of 3604588?
2, 13, 103, 673
List the prime factors of 586875.
3, 5, 313
What are the prime factors of 202250?
2, 5, 809
List the prime factors of 345605.
5, 13, 409
What are the prime factors of 620127?
3, 68903
What are the prime factors of 900646?
2, 401, 1123
List the prime factors of 6685117.
6685117
What are the prime factors of 15485037?
3, 5161679
List the prime factors of 127078.
2, 7, 29, 313
What are the prime factors of 348753?
3, 101, 1151
What are the prime factors of 2157163?
2157163
List the prime factors of 233.
233
List the prime factors of 19905875.
5, 11, 31, 467
List the prime factors of 1625320.
2, 5, 179, 227
What are the prime factors of 21209324?
2, 29, 182839
What are the prime factors of 761898?
2, 3, 23, 5521
What are the prime factors of 1317172?
2, 329293
List the prime factors of 194473.
113, 1721
What are the prime factors of 25149046?
2, 13, 19, 50909
List the prime factors of 11760955.
5, 2352191
What are the prime factors of 63608?
2, 7951
What are the prime factors of 2458325?
5, 107, 919
List the prime factors of 818806.
2, 43, 9521
List the prime factors of 687859.
31, 22189
List the prime factors of 1382246.
2, 37, 18679
What are the prime factors of 1363034?
2, 139, 4903
List the prime factors of 2708055.
3, 5, 7, 8597
List the prime factors of 1796025.
3, 5, 7, 11, 311
List the prime factors of 74680.
2, 5, 1867
List the prime factors of 750633.
3, 13, 19, 1013
What are the prime factors of 2196020?
2, 5, 19, 5779
What are the prime factors of 7574800?
2, 5, 29, 653
List the prime factors of 11289549.
3, 31, 233, 521
List the prime factors of 2709726.
2, 3, 451621
List the prime factors of 6339566.
2, 3169783
List the prime factors of 390170.
2, 5, 11, 3547
What are the prime factors of 49449?
3, 53, 311
What are the prime factors of 2736253?
13, 210481
What are the prime factors of 7827769?
17, 137, 3361
List the prime factors of 90930.
2, 3, 5, 7, 433
What are the prime factors of 27136961?
659, 41179
List the prime factors of 398561.
41, 9721
What are the prime factors of 144182?
2, 72091
What are the prime factors of 7161027?
3, 23, 67, 1549
What are the prime factors of 1187467?
17, 23, 3037
What are the prime factors of 4752380?
2, 5, 237619
List the prime factors of 507073.
7, 107, 677
List the prime factors of 112343.
7, 11, 1459
What are the prime factors of 1422685?
5, 11, 25867
What are the prime factors of 73224?
2, 3, 113
What are the prime factors of 6075166?
2, 3037583
What are the prime factors of 988076?
2, 19, 13001
What are the prime factors of 119438?
2, 11, 61, 89
List the prime factors of 176779.
176779
What are the prime factors of 3553815?
3, 5, 79, 2999
What are the prime factors of 1326702?
2, 3, 13, 73, 233
What are the prime factors of 6259131?
3, 47, 14797
What are the prime factors of 3565364?
2, 11, 81031
What are the prime factors of 219282?
2, 3, 7, 23, 227
What are the prime factors of 6475421?
773, 8377
What are the prime factors of 13750382?
2, 17, 404423
List the prime factors of 5157789.
3, 7, 13, 2699
What are the prime factors of 2342531?
919, 2549
What are the prime factors of 1030884?
2, 3, 271, 317
What are the prime factors of 5314348?
2, 13, 102199
What are the prime factors of 2544037?
79, 32203
What are the prime factors of 4906582?
2, 2453291
What are the prime factors of 3732577?
3732577
List the prime factors of 4338529.
13, 107, 3119
List the prime factors of 8970572.
2, 13, 167, 1033
List the prime factors of 1085261.
19, 57119
List the prime factors of 159224.
2, 13, 1531
List the prime factors of 525912.
2, 3, 17, 1289
List the prime factors of 17530431.
3, 5843477
What are the prime factors of 1251303?
3, 37, 11273
List the prime factors of 1914227.
7, 151, 1811
What are the prime factors of 33638701?
33638701
What are the prime factors of 960678?
2, 3, 19, 53
List the prime factors of 306839.
13, 23603
List the prime factors of 11907261.
3, 23, 41, 61
List the prime factors of 1588693.
59, 26927
List the prime factors of 7960941.
3, 173, 5113
What are the prime factors of 249727?
249727
List the prime factors of 1235808.
2, 3, 7, 613
List the prime factors of 1127493.
3, 41759
What are the prime factors of 634611?
3, 199, 1063
What are the prime factors of 5445418?
2, 11, 247519
What are the prime factors of 3467016?
2, 3, 7, 2293
List the prime factors of 6339558.
2, 3, 367, 2879
List the prime factors of 27963073.
47, 594959
What are the prime factors of 229243?
7, 32749
What are the prime factors of 1878767?
11, 15527
List the prime factors of 103369.
7, 14767
What are the prime factors of 419849?
17, 24697
What are the prime factors of 601588?
2, 13, 23, 503
List the prime factors of 46991.
7, 137
List the prime factors of 89402.
2, 44701
What are the prime factors of 1241830?
2, 5, 124183
What are the prime factors of 727534?
2, 363767
List the prime factors of 1332416.
2, 109, 191
List the prime factors of 4169833.
73, 239
What are the prime factors of 5551638?
2, 3, 925273
What are the prime factors of 877022?
2, 73, 6007
What are the prime factors of 27540157?
27540157
What are the prime factors of 5966052?
2, 3, 497171
List the prime factors of 312798.
2, 3, 37, 1409
List the prime factors of 153134.
2, 23, 3329
List the prime factors of 3018005.
5, 31, 19471
What are the prime factors of 3743729?
11, 340339
List the prime factors of 3072273.
3, 1024091
List the prime factors of 4365897.
3, 281, 5179
What are the prime factors of 9667922?
2, 11, 19, 101, 229
What are the prime factors of 1453213?
557, 2609
List the prime factors of 122425.
5, 59, 83
List the prime factors of 561043.
7, 80149
List the prime factors of 317747.
17, 18691
List the prime factors of 171409.
7, 47, 521
What are the prime factors of 100262?
2, 50131
List the prime factors of 1220273.
977, 1249
List the prime factors of 17873573.
557, 32089
What are the prime factors of 378760?
2, 5, 17, 557
What are the prime factors of 498442?
2, 7, 35603
List the prime factors of 10968850.
2, 5, 219377
List the prime factors of 1364751.
3, 19, 23, 347
List the prime factors of 857862.
2, 3, 47659
List the prime factors of 222610.
2, 5, 113, 197
What are the prime factors of 141973?
13, 67, 163
List the prime factors of 94025.
5, 3761
What are the prime factors of 3807267?
3, 457, 2777
List the prime factors of 101428.
2, 25357
What are the prime factors of 357341?
47, 7603
What are the prime factors of 128314?
2, 64157
List the prime factors of 717973.
557, 1289
What are the prime factors of 712014?
2, 3, 118669
List the prime factors of 777134.
2, 388567
What are the prime factors of 2444483?
19, 128657
List the prime factors of 89708.
2, 41, 547
List the prime factors of 327170.
2, 5, 32717
List the prime factors of 4248.
2, 3, 59
What are the prime factors of 910553?
7, 130079
List the prime factors of 355893.
3, 97, 1223
What are the prime factors of 464541?
3, 7, 11, 2011
What are the prime factors of 830961?
3, 127, 727
List the prime factors of 22452.
2, 3, 1871
List the prime factors of 189563.
11, 19, 907
What are the prime factors of 1734960?
2, 3, 5, 7229
What are the prime factors of 25229202?
2, 3, 619, 6793
What are the prime factors of 172229?
157, 1097
List the prime factors of 148891.
148891
What are the prime factors of 3878888?
2, 13, 19, 151
What are the prime factors of 6858719?
7, 31, 31607
What are the prime factors of 1732773?
3, 7, 109, 757
What are the prime factors of 1009660?
2, 5, 19, 2657
What are the prime factors of 26608119?
3, 8869373
What are the prime factors of 2643269?
53, 941
List the prime factors of 6679585.
5, 11, 121447
List the prime factors of 317931.
3, 105977
What are the prime fac
|
{
"pile_set_name": "DM Mathematics"
}
|
54 - 189. Calculate the lowest common multiple of 30 and a.
90
Let k(d) = -2*d - 8. Let i = 6 - 4. Let b be 1*(-1)/(i/26). What is the least common multiple of k(b) and 10?
90
Suppose -7 + 4 = -o. Calculate the common denominator of ((-2)/(-48))/(o/426) and 111/(-36) - (-7 + (-721)/(-105)).
60
Suppose -3*p + 40 = p. Suppose 2*y + 5 = -3*y. Calculate the lowest common multiple of 616/33*(10/4 + y) and p.
140
Let l = 3884650268/14280673 + -2130550/7743. Let v = 1/3018 + l. Find the common denominator of 3/9 + (-94)/(-12) and v.
66
Let n = 52679 - 6005455/114. Find the common denominator of n and (-6)/21 + ((-1486)/14)/(9 + 1).
570
Let j(n) = -n - 6*n + 4*n. What is the smallest common multiple of j(-2) and 44?
132
Let j = -913 - -21907/24. Find the common denominator of j and -49/18.
72
Suppose 4*a + n = -3*n + 64, -3*n = 6. Suppose 0 = -43*j + 17*j + 702. Calculate the least common multiple of a and j.
54
Let w = 561 - 549. Let v = 11 - 8. What is the lowest common multiple of w and v?
12
Let s = 5763 + -5717. Suppose 0*o + 2*o = 0. What is the common denominator of 68/28*(o + 1) and s?
7
Let q = 26831/4 + -9865. Let s = q - -3139. Let f = 229/12 + 5/12. Find the common denominator of s and f.
4
Let d(o) = -o + 37. Let h be d(19). What is the least common multiple of 178 and 4/(-18) - (-328)/h?
1602
Let f = -13 + 16. Suppose 3*k + 16 = f*n + k, -k + 4 = 0. Let z = 2 - -3. What is the least common multiple of n and z?
40
Let b = -2 + 14. Let n = b - 2. What is the smallest common multiple of 45/n + 3/(-6) and 7?
28
Let r(i) = -2*i + 2. Let f be (3 - 1) + (-4)/2. What is the lowest common multiple of (-6 - f)*1/(-2) and r(-4)?
30
Suppose r = 3*m + 25, 62 = 5*r + 3*m - 9. What is the least common multiple of 12 and r?
48
Let m = -3 + 13. Suppose 0 = t + 4 - 15. Calculate the smallest common multiple of (m/(-4))/((-10)/20) and t.
55
Suppose 0*b + 6 = b - 4*d, -2*d - 30 = -5*b. Calculate the smallest common multiple of b and 56.
168
Let n = -2566/5 + 516. Let d be 8/6*223/4. Let p = 421/6 - d. Find the common denominator of p and n.
30
Let h = -40 + 69. What is the common denominator of 236/20 + 1 - 3 and h?
5
Let f be 4 + 0 - (3 + -3). Suppose 5*i - 5 = 3*p, 4*p = i - p + 21. Suppose 32 + i = f*z. Calculate the lowest common multiple of 8 and z.
72
Let i be (-8)/(-5 + 3) + (1 - 3). Let q(n) = n**3 - 3*n**2 + 3*n. What is the least common multiple of q(i) and 18?
18
Let h = -9/53 + -661/477. Find the common denominator of (-381)/12*1/3 and h.
36
Let u(m) = -m**3 + 13*m**2 - m + 12. Let f be u(13). What is the lowest common multiple of 4 and ((-210)/(-75))/(f/(-5))?
28
Let w = -43 - -72. Let g = w + -10. Find the common denominator of 87/8 and (g/(-27))/((-2)/(-15)).
72
Let m = 673 - 2018/3. Find the common denominator of m and 3/41.
123
Let c(t) = t**2 - 2*t - 1. Let q be c(-2). Suppose 4*k - q = 17. Let r(n) = 22*n - 510. What is the least common multiple of k and r(24)?
18
Let j = 230960/1177393 - 217808521036/93754627197. Let r = j - -14/2413. Calculate the common denominator of r and -44/27.
297
What is the common denominator of 27/14 and (-7 - (-16471)/1904) + -2?
1904
Let r be (-8885)/4442 - 12/(-6). Let v = r + 76628/15547. Calculate the common denominator of v and ((-18)/(-54))/(1/183*10).
70
Find the common denominator of -82/45 and ((-1363)/3384)/((-1)/5).
360
Calculate the common denominator of (-19795)/296*(1 + 17/(-15)) and 95/44.
132
Let m be ((-36)/(-12))/((-2)/18). Let q = m + 38. Calculate the least common multiple of q and 2.
22
Let i = 74 + 5. Let h = -71 + i. Calculate the least common multiple of 8 and h.
8
Suppose 34*h + 2*l + 30 = 36*h, h = 5*l + 43. Let p(x) = -4*x + 4 - x**3 + x**2 - x + 5*x**2. What is the least common multiple of h and p(4)?
16
Let i be 88/2 + (-2)/1. Let g = i - 21. Calculate the smallest common multiple of (-2*(-18)/20)/(11 - 1026/95) and g.
63
Let h(u) = 2*u**2 + 15*u + 7. What is the lowest common multiple of h(-11) and 132?
924
What is the common denominator of (-1144)/720 - 3/(2 + -17) and 73/54?
54
Let w = -57/2 + 6. Let y = -75 + 348. Let a = y + -1351/5. Find the common denominator of w and a.
10
What is the common denominator of 24/25 and (-1026)/(-150) - 9 - (-1)/5?
25
Let c = 1303/14 + -27445/294. Calculate the common denominator of c and -55/168.
1176
Let g = 2679/169 - 692741/45630. What is the common denominator of g and 97/90?
270
Calculate the least common multiple of 63 and ((-35)/(-6) - (-176)/(-132))*2.
63
Let y(n) = 2*n + 405. Let g be y(0). Calculate the common denominator of 5/66 and (-1 - -4) + g/(-150).
330
Let k = -1407314/2805 + -4106/255. Let l = 193081/374 + k. Find the common denominator of l and -73/6.
102
Let s = -151 + 227. Suppose s = -5*m + 24*m. Calculate the smallest common multiple of m and 2.
4
Suppose -8 = -2*n + 2. Suppose -n*i - 28 = 2*w, -6*i + i + 4*w = 4. Let m(p) = -6*p - 6. Calculate the lowest common multiple of 10 and m(i).
90
Let k(u) = 5*u + 8. Let q be k(4). Let b be (-72)/q*(-42)/9. What is the common denominator of ((-1190)/b)/7 - 3 and 29/18?
18
Let s = -34181/10 + 3414. What is the common denominator of -55/116 and s?
580
Let u = -77/201 - -13391/9246. Find the common denominator of u and 21/20.
460
Suppose 1 + 9 = t + 5*p, -4 = -4*p. Suppose 0 = -5*w - 3*l + 90, -w = -4*w - t*l + 54. Let r = -2 + 22. Calculate the least common multiple of r and w.
180
Let u = -42 + 39. Calculate the lowest common multiple of 14 and u/(-9) - (-140)/12.
84
Let r(m) = m**3 + 10*m**2 + 11*m + 18. Let h be r(-9). What is the common denominator of (-99)/(-21) + 1 - h and 85/12?
84
Suppose 2*k + 0 = 36. What is the smallest common multiple of k and (-12)/(49/(-14) + (-10)/(-4))?
36
Let z(r) = -r**2 + 5*r + 6. Let a be z(-3). Let v = a - -8. Let g = 17 + v. What is the least common multiple of 9 and g?
63
Let f = -13 - -8. Let p(q) = -q**2 - 9*q - 10. What is the least common multiple of p(f) and 5?
10
Let h(v) = v**3 - 4*v**2 - 4. Let x be h(4). Let b(n) be the first derivative of n**3/3 + 5*n**2/2 + 6*n + 20. What is the lowest common multiple of b(x) and 7?
14
Let o be (-3)/(9/3) + 2/1. Let x = 728 - 7189/10. Calculate the common denominator of x and 4*o/2 - 155/(-10).
10
Calculate the common denominator of 31/2 and 52/120*33 - 4.
10
Let y = -6385/24 + 266. Let x = -853 - -7721/9. What is the common denominator of x and y?
72
Let o = 215 - 185. What is the lowest common multiple of o and 15?
30
Let p = -6 + 21. Let j be -4 + p - (-2 + 1). Suppose 0 = -4*z - 2*c + 10 + j, -c = 3*z - 19. What is the smallest common multiple of z and 24?
24
Let j = 10989 + -15846141/1442. Let q = j + 27766/3605. Calculate the common denominator of -41/14 and q.
70
Let d = -5 - -11. Let o be d/(-39) + 485532/(-286). Let f = -1694 - o. Calculate the common denominator of 89/6 and f.
66
Suppose 21*x = 20*x + 3. Suppose 5*i - 13 = -x. Suppose 13 = 5*v - 2*c, 0 = v - c - 0 - i. Calculate the lowest common multiple of v and 7.
21
Find the common denominator of 24/203 and (-50)/(-105)*36/5.
203
Let n be 6/(-10) + (-189)/(-15). Suppose -b + 5*o - 46 = b, 3*o + n = 0. Find the common denominator of -87/16 and 2/b*126/8.
176
Let h = -6/10603 - -435035/551356. Let w = 218339/14 + -15602. Calculate the common denominator of w and h.
364
Let j be 2 - (4 - -2)/3. Suppose j = i + 2*i - 204. Suppose 5*u + 2*h = 2*u + i, 0 = u + 2*h - 24. What is the smallest common multiple of u and 16?
176
Let d = -3653 + 7807. Let g = d - 45750/11. Calculate the common denominator of (-42)/(-5)*(-18)/21 and g.
55
Find the common denominator of (2/(-2310)*-11)/((-4)/(-159)) and 67/22.
1540
Suppose 3*a + 1 = 4. Let w be ((-6)/(-10))/(a/5). What is the common denominator of -13/2 and w/(-60)*327/(-6)?
40
Let s(z) = z**2 - 2*z + 13. What is the least common multiple of s(-5) and 6?
48
Let n = 481/48 - 2425/176. Let t = n + 155/11. What is the common denominator of 2/8 + 346/88 and t?
33
Let y be (-4 - -6) + 33/(-3). Let b be (-4732)/(-848)*y/(-6). Let k = -40/53 - b. Find the common denominator of -57/22 and k.
88
Suppose -505 = -6*j - 445. What is the least common multiple of j and 16?
80
Let d be 1/10*(-256)/6. Let p = d - -25/6. What is the common denominator of p and 41/9?
90
Calculate the common denominator of 101/8
|
{
"pile_set_name": "DM Mathematics"
}
|
.
522
Let k(v) = 27*v - 19*v - 5 - 24*v - 21*v**2. Let m(x) = -64*x**2 - 48*x - 16. Let g(j) = -16*k(j) + 5*m(j). What is the second derivative of g(a) wrt a?
32
Suppose 0 = 72*k - 814 + 22. Let p(z) be the second derivative of 0*z**3 + 0 - z**2 + k*z - 1/10*z**5 + 0*z**4. What is the derivative of p(g) wrt g?
-6*g**2
Let x(g) be the first derivative of 10 + 0*g**5 - 5/7*g**7 - 8/3*g**3 + 0*g**2 + 0*g**4 + 0*g**6 + 0*g. Find the third derivative of x(o) wrt o.
-600*o**3
Differentiate 456*y**3 - 229*y**3 + 4*y**4 + 22 - 223*y**3 wrt y.
16*y**3 + 12*y**2
Let z(l) = -l - 4 - l**3 - 2*l - l - 3*l**2. Let m be z(-2). What is the derivative of m*a**3 - 11*a**3 - 3 + 13 wrt a?
-33*a**2
What is the third derivative of 22*o**5 - 2*o**3 - 172*o - 8*o**2 + 183*o + 4*o**2 wrt o?
1320*o**2 - 12
Let b(z) be the third derivative of 0*z**3 + 7/24*z**4 + 0*z**5 + 0 + 0*z + 1/20*z**6 + 27*z**2 - 2/105*z**7. What is the second derivative of b(j) wrt j?
-48*j**2 + 36*j
Suppose -b = -6*b - 20, 3*b + 4 = -4*p. What is the second derivative of -x + 6*x**p + 0*x + 13*x wrt x?
12
Let h(t) be the third derivative of 3*t**2 + 0 + 0*t**5 + 0*t + 7/24*t**4 - 1/15*t**7 + 0*t**6 + 0*t**3. What is the second derivative of h(w) wrt w?
-168*w**2
Let z(d) = -3*d - 4. Let p be z(-2). Find the third derivative of -6*o**2 - 4*o**2 - 2*o**5 + 13*o**5 + 3*o**p wrt o.
660*o**2
Let s(h) = -17*h**3 - 9. Let o(r) = 1. Suppose 12 = -4*d, -5*d + 13 - 52 = 4*v. Let f(i) = v*o(i) - s(i). Differentiate f(p) with respect to p.
51*p**2
Let i = -3 + 5. Differentiate -58*b**i + 58*b**2 - 11*b**4 - 17 wrt b.
-44*b**3
Let s(a) be the third derivative of 0*a**5 + 0*a**3 + 1/10*a**6 + 0 + 17/24*a**4 + 0*a - 5*a**2. What is the second derivative of s(h) wrt h?
72*h
Find the second derivative of 118*a**3 + 39 - 3*a**2 + 30 + 3*a**2 - a wrt a.
708*a
Let y(p) be the first derivative of -93*p**5/5 - p**2 + 2*p - 64. Find the second derivative of y(m) wrt m.
-1116*m**2
Let y(l) = 950*l**3 - 112*l**2 - 3*l - 11. Let g(r) = -316*r**3 + 37*r**2 + r + 4. Let x(c) = -11*g(c) - 4*y(c). What is the third derivative of x(q) wrt q?
-1944
Let m(d) be the first derivative of 0*d**2 - 5 + 0*d - d**7 + 0*d**6 + 0*d**4 + 0*d**5 + 19/3*d**3. What is the third derivative of m(o) wrt o?
-840*o**3
Let x be (-3)/(-9 + 0)*18. Let d = -2 + x. Find the third derivative of -4*i**2 + 3*i**2 - d*i**2 + 3*i**6 wrt i.
360*i**3
Find the second derivative of 27*h**5 + 4*h**3 + 17*h - 4*h**3 + 3*h**5 - 6*h wrt h.
600*h**3
Let y(a) = 3*a**2 - 7*a - 3. Let c be y(4). What is the second derivative of -9*t + c*t - 8*t + 10*t**2 - 11*t wrt t?
20
Let b(h) be the third derivative of -h**7/105 - 7*h**6/40 + h**5/30 - 35*h**4/12 + h**2 - 3. Find the third derivative of b(l) wrt l.
-48*l - 126
Let k(r) be the second derivative of 46*r**3/3 + 36*r**2 + 2*r - 56. Differentiate k(j) with respect to j.
92
Suppose -2*v = -10*v + 304. Find the second derivative of 31*h + v*h**5 - 53*h**3 + 53*h**3 wrt h.
760*h**3
Let f(a) = -2*a**4 + 4*a**2 + 4*a - 101. Let t(q) = -3*q**4 + 3*q**2 + 3*q - 100. Let i(z) = 3*f(z) - 4*t(z). What is the derivative of i(d) wrt d?
24*d**3
Let x(p) be the first derivative of 0*p**2 + 0*p - 9 + 0*p**5 + 2*p**6 + 0*p**4 + 1/3*p**3. What is the third derivative of x(j) wrt j?
720*j**2
Let s(c) be the third derivative of 169*c**6/120 - c**4/24 + 2*c**3/3 + 48*c**2 - 1. What is the second derivative of s(r) wrt r?
1014*r
Let g = 8 - -2. Suppose 0 = 2*w + 3*w - g. Find the third derivative of 2*m**3 - 5*m**3 + 6*m**w - m**3 - 2*m**3 wrt m.
-36
Let d(a) be the third derivative of 79*a**4/24 - 28*a**3 - 155*a**2. Differentiate d(y) with respect to y.
79
Find the second derivative of -112*a - a**5 + 28*a**3 + 52*a - 4*a**3 wrt a.
-20*a**3 + 144*a
Let v(t) be the third derivative of -3*t**7/5 + 14*t**5/15 + t**4/4 + 48*t**2 - 4. What is the third derivative of v(s) wrt s?
-3024*s
Let c(b) = -224*b**2 - 568*b. Let a(j) = 224*j**2 + 561*j. Let u(g) = -2*a(g) - 3*c(g). Find the second derivative of u(m) wrt m.
448
Let h(w) be the third derivative of 63*w**6/40 - 71*w**3/3 + 115*w**2 - 2. Differentiate h(a) wrt a.
567*a**2
Let v be ((-21)/(-6) - 4)*-10. Find the second derivative of 5*m - m - 5*m**v - 8*m**5 + 5*m wrt m.
-260*m**3
Let h(o) be the first derivative of -3*o**8/28 + 13*o**4/4 + 29*o - 20. Let s(y) be the first derivative of h(y). Find the third derivative of s(c) wrt c.
-720*c**3
Let k be (1/2 - 0)*6. Let s = 213 + -210. What is the second derivative of -2*n - 10*n**s + k*n**3 + 7*n - 2*n wrt n?
-42*n
Let i(t) be the third derivative of 16*t**2 + 23/60*t**5 + 0*t**3 + 0*t - 5/24*t**4 + 0. What is the second derivative of i(n) wrt n?
46
Let r(c) = 9*c**2 + 32. Let d(b) be the second derivative of -b**4/12 - b**2/2 + 21*b. Let i(m) = 4*d(m) - r(m). What is the derivative of i(k) wrt k?
-26*k
Suppose 0*n - 2*n - 4*q - 18 = 0, 5*n - 5*q = 0. Let y be 9 - (-2 + 3 - n). Find the second derivative of o**5 + 18*o - 11*o**y - 13*o wrt o.
-200*o**3
Let k(v) be the third derivative of 103*v**4/12 + 553*v**3/6 + 12*v**2 - 14*v. What is the first derivative of k(w) wrt w?
206
Let y(q) = 367*q**2 + 13*q - 202. Let h(u) = -182*u**2 - 6*u + 101. Let f(a) = -5*h(a) - 2*y(a). Find the second derivative of f(d) wrt d.
352
Let b = 66 + -43. Suppose -2*t = -33 + b. What is the second derivative of 2*z + 8*z - 11*z**4 - t*z wrt z?
-132*z**2
Let h(g) = -g. Let k(r) = -11*r**2 + 2*r + 61. Let s(u) = h(u) - k(u). What is the derivative of s(v) wrt v?
22*v - 3
Suppose 43*f = 45*f - 138. Differentiate -69*a**3 + 4*a**4 + f*a**3 + 9 wrt a.
16*a**3
Let r be (-7)/((-7)/(-33))*-1. Let g be 93/r - (-2)/11. What is the derivative of -v**4 + 1 - 2*v**4 + g wrt v?
-12*v**3
Suppose 3*z + 15 = 8*z. Suppose -3 = -3*l + 12. Find the second derivative of -16*b**z + l*b**4 + 5*b + 16*b**3 wrt b.
60*b**2
Suppose -2*d = -20 - 0. Let n(f) = f**2 - 11*f + 16. Let g be n(d). What is the third derivative of 2*t**4 + 3*t**4 + 0*t**4 - g*t**4 + 7*t**2 wrt t?
-24*t
Let f(a) = -a + 3. Let y be f(1). What is the second derivative of -32*b**4 - 15*b - 3 + y + 1 wrt b?
-384*b**2
Let j(t) = t**3 - 4*t**2 + 6*t - 5. Let n be j(5). Differentiate -87 + 49 - 12*h**2 + n with respect to h.
-24*h
Let a(u) = -2*u + 37. Let y be a(17). Find the third derivative of -38*d**2 - y*d**3 + 41*d**2 - 3*d**6 + 3*d**3 wrt d.
-360*d**3
Let w(i) = -i**3 - 6*i**2 + 6*i + 3. Let k be w(-7). Find the second derivative of -86*l**4 + 180*l**4 - k*l - 109*l**4 wrt l.
-180*l**2
Let s(w) = 2*w**4 + w**2 + 2. Let n(g) = 51*g**4 + 11*g**3 - 889*g**2 + 10. Let k(j) = n(j) - 5*s(j). What is the third derivative of k(y) wrt y?
984*y + 66
Let r(c) be the second derivative of -3*c**5/20 + c**3 + 90*c**2 - 10*c. Differentiate r(x) wrt x.
-9*x**2 + 6
Let q be 4/(-6) + -4 + 4911/9. Find the second derivative of -q*t + 8*t**3 + 554*t + 34*t**3 wrt t.
252*t
Let s(r) = 13*r**2 - 2*r + 1. Let c be s(1). Let o = c + -10. Find the third derivative of 5*i**o + 7 - 7 + 6*i**3 wrt i.
36
Let v = 20 - 20. Find the third derivative of -7*p**2 + 15*p**2 + v*p**6 + 2*p**6 - 18*p**2 wrt p.
240*p**3
Let h = 1720 - 1717. Let s(w) be the second derivative of 0*w**2 + 0*w**h + 0 + 2*w + 3/10*w**5 + 1/4*w**4. What is the third derivative of s(p) wrt p?
36
Let g(n) be the first derivative of -27*n**5/5 - n**4/4 + 2*n**3/3 - 5*n**2 - 69. What is the third derivative of g(t) wrt t?
-648*t - 6
Let v = -18 - -18. Suppose -5*f + 30 = 5*h, 5*h + 0*h - 5*f - 10 = v. Differentiate -h + o**4 + 0 + 8*o**4 - 1 wrt o.
36*o**3
What is the first derivative of 73*j**3 + 98 - 24*j**3 - 361 - 56*j**4 - 25*j**3 - 25*j**3 wrt j?
-224*j**3 - 3*j**2
Let y(i) = -1308*i - 1220. Let m(f) = -3268*f - 3048. Let c(b) = 5*m(b) - 12*y(b). Find the first derivative of c(k) wrt k.
-644
Let q(s) = 136*s**4 - 18*s**3 - 110. Let t(z) = z**4 - 2*z**3. Let u(n) = -2*q(n) + 18*t(n). Differentiate u(j) wrt j.
-1016*j**3
Let r be (-6)/15 - (-44)/10. Suppose -5 = -r*d + 3. What is the derivative of d + 0*o + 0*o - 1 - 3*o**4 wrt o?
-12*o**3
Let k(q) = -56*q**3 + 3*q**2 - 5*q + 334. Let d(t) = 111*t**3 - 5*t**2 + 9*t - 670. Let o(z) = -4*d(z) - 7*k(z). What is the second derivative of o(x) wrt x?
-312*x - 2
Suppose -6 = 61*c - 64*c. What is the first derivative of 2 - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
t to 1/9 in -1.4, -2, -4/349, -0.4, -0.2?
-4/349
Which is the closest to 0? (a) 92 (b) 0.1 (c) -4 (d) -43/158
b
What is the nearest to -0.2 in -85, 2/85, -4, 0.2, -3, 5?
2/85
Which is the nearest to 0? (a) -2 (b) 577 (c) 1/9 (d) 57 (e) -4/5 (f) 4
c
Which is the nearest to 1? (a) -14 (b) -2/231 (c) 2/5 (d) -2/3 (e) 3
c
What is the nearest to 2/3 in 333, -11, -0.2, -402, 0.3?
0.3
What is the closest to -1/13 in 151, -3/2, 3/7, 8?
3/7
What is the nearest to 3/37 in -0.05, 0.5, 1, 8, 2/17, 3?
2/17
What is the nearest to 3/7 in 923, -1, 143, -0.4?
-0.4
What is the closest to 437 in -4, 0, 0.2875?
0.2875
What is the closest to -0.17 in 1, 602, 0.3, -3, -0.1?
-0.1
What is the closest to -2/15 in -3/38, 0, 5, -0.3, -0.1, -711?
-0.1
Which is the closest to -0.038? (a) 1 (b) -60 (c) 0.08 (d) -6 (e) -3
c
What is the closest to 0 in -0.09, 579, -5, -47.54?
-0.09
Which is the nearest to -0.364? (a) 10 (b) -1 (c) -3 (d) -10
b
Which is the closest to -5412? (a) 10 (b) -8/7 (c) -10 (d) -1
c
What is the closest to -1 in 3/23, 2016, -2/17?
-2/17
Which is the closest to -1/14? (a) 3/2 (b) -0.2 (c) -0.09986 (d) -8/3
c
Which is the closest to -3/7? (a) -469844 (b) 8 (c) 4 (d) -4
d
What is the closest to 9/5 in 0.1, 3, 164, -35?
3
What is the closest to 1/11 in -2, 1, 6, -1.737?
1
Which is the nearest to 0.08? (a) -2 (b) 97 (c) 0.1 (d) -112
c
What is the closest to 0.1 in 1, 2.1997, 0, -4?
0
Which is the nearest to 24? (a) 3 (b) 0.04 (c) -0.1 (d) -8.47 (e) -2
a
What is the nearest to -0.1 in -2/31, -2/189, -4/2661?
-2/31
Which is the nearest to 4/23? (a) -0.3 (b) 6 (c) -67 (d) -2/3
a
What is the nearest to -30/17 in -0.01359, -1, 0.14?
-1
Which is the nearest to -1451? (a) 5 (b) 1/6 (c) -2 (d) -0.7 (e) 1/5
c
Which is the closest to -1/3? (a) -409 (b) -2/13 (c) 4753/2
b
Which is the closest to -1? (a) 1/178 (b) -7 (c) -5342
a
Which is the closest to -1.69333? (a) -7 (b) -2/15 (c) -5 (d) 2/9 (e) 2/5
b
What is the nearest to -0.1 in 12, -36, -100, 5/4?
5/4
Which is the nearest to -3? (a) -34 (b) -1326 (c) 0.4 (d) 2
c
What is the closest to 29 in 2/9, 1200, 3.2, 9?
9
Which is the nearest to 196? (a) 0.6 (b) 409 (c) 2 (d) 1 (e) -0.2
c
Which is the nearest to 4? (a) -0.07 (b) -7 (c) 90 (d) 0
d
What is the nearest to -1 in 2/13, 205, 1.2341, 4, 3?
2/13
Which is the nearest to -0.4? (a) -4 (b) -1/2 (c) 10595 (d) -58
b
What is the nearest to -2/3 in 1878, 0, -2, -6/11, -18.62?
-6/11
What is the closest to 0.064 in -0.22, -2, 4.14?
-0.22
What is the closest to -0.1 in 4, -346, 0.3508?
0.3508
What is the nearest to 0.2 in 0.3, 0, -1/3, 217, 814?
0.3
Which is the closest to 0.9? (a) -5 (b) 7 (c) 2.6 (d) 11 (e) 52 (f) -1
c
Which is the nearest to 150? (a) -1 (b) -13 (c) 1854/7
c
Which is the nearest to -2/395? (a) 0.3 (b) 617/4 (c) 2 (d) -2
a
What is the nearest to -1 in -5, 7, 842551?
-5
What is the closest to 0.04 in -0.3, 0.07, -0.13, -149, 5/2?
0.07
Which is the closest to 2? (a) -0.02 (b) -193 (c) -2 (d) 8
a
What is the closest to 0 in 0, 133292, 1, 3, -0.3?
0
What is the closest to -6 in 19, -1/1839, 5, 18?
-1/1839
What is the closest to -1/3 in -5, -375, 0, -1/3, -1, 26.5?
-1/3
Which is the nearest to -22201? (a) 0 (b) -0.2 (c) 5 (d) -49
d
What is the nearest to -2/61 in 0.037, 996, 4, 1?
0.037
Which is the closest to -0.019? (a) 0 (b) 1/2 (c) 6 (d) -1/6 (e) 4
a
Which is the nearest to 105? (a) 3 (b) -3 (c) -0.09 (d) 15 (e) -3/17 (f) 5/4
d
What is the nearest to -249247 in 0.2, 0.7, 0.3?
0.2
Which is the nearest to 54? (a) 3/16 (b) 2 (c) 2/3 (d) 1/5 (e) 0.061 (f) 0.4
b
Which is the closest to 3? (a) 8 (b) -1/2 (c) 578212
b
What is the closest to 0.2 in -0.9, 0, 2/67, 2/13, -0.2?
2/13
Which is the closest to -0.032? (a) 3 (b) 2/13 (c) 6 (d) 4 (e) -0.17
e
What is the nearest to 2/7 in 13, -5, -3, -2.7, -32?
-2.7
What is the closest to -0.2 in -5, -0.7, 129.58?
-0.7
Which is the closest to -32? (a) 5/2 (b) 22 (c) 0.2 (d) -2/11 (e) 3584
d
Which is the closest to 15? (a) -0.2 (b) 48/103 (c) -5
b
Which is the closest to 2/3? (a) 0.5 (b) -3/17 (c) -0.12 (d) 2/3 (e) 102
d
What is the closest to -1 in -0.5, 1, -127, -4, -7, 56?
-0.5
What is the closest to -0.1 in -22, -1/4, 2/13, 28/173, 1/2?
-1/4
What is the closest to 1/916 in -3/80, -2/37, -5?
-3/80
Which is the nearest to 19? (a) 1/6 (b) -47 (c) -0.9 (d) -13 (e) 0.1 (f) -2
a
Which is the closest to 0.1? (a) -6.8 (b) -1/23 (c) 123
b
Which is the closest to -1? (a) 24.10758 (b) -2/9 (c) 0
b
What is the closest to -372 in 0.07, -0.4, -1/3, 89, -2/3?
-2/3
What is the nearest to -2/5 in -9, -1/3, 2, 0.03, -62, 1?
-1/3
What is the closest to 1 in -2407, 14, 7596?
14
Which is the closest to 1.6? (a) 13 (b) -2/91 (c) 0.1 (d) 7/10
d
What is the closest to -1 in 2, -2, 95/37, 6.27?
-2
What is the closest to -1/4 in 0, -0.1676, -2, -173?
-0.1676
Which is the closest to 1? (a) -3/4 (b) -5 (c) 2/19 (d) 462810 (e) -0.3
c
Which is the nearest to -15/8? (a) -24 (b) 6.12 (c) -27
b
Which is the closest to -4/7? (a) 0.2 (b) -1/121 (c) 24.78 (d) -2/5
d
Which is the nearest to 2/7? (a) 0.2 (b) 1/3 (c) -2/11 (d) 7/16 (e) 30
b
What is the closest to 3 in 2, -75/2, -156?
2
What is the nearest to 3/9518 in 1, -19, -2/5?
-2/5
Which is the closest to 4/13? (a) 2.8954 (b) -0.3 (c) -1 (d) 4
b
What is the nearest to 0.1 in -11, 1/4, 7.2, -905?
1/4
What is the nearest to -53.129 in -1, 0, -2, 7/5, -2/5?
-2
Which is the nearest to -158? (a) -1 (b) -66919 (c) -2/9 (d) 3/7 (e) -5 (f) -3
e
Which is the nearest to 2/7? (a) 3 (b) -2 (c) -1/4 (d) -511
c
What is the nearest to 17 in 5/2, 0.5, -1.1, 4, 5.7927?
5.7927
Which is the closest to 0.1? (a) 0 (b) 0.011 (c) -1/6 (d) 2/949 (e) -0.032
b
What is the nearest to -12/11 in -21, -4, 5, -155?
-4
Which is the nearest to 0.5? (a) -4.9 (b) -0.4 (c) 0.03 (d) 21
c
Which is the closest to -1/2? (a) -1.2 (b) -2.3 (c) -1249 (d) -1
d
Which is the closest to -1/9? (a) -2/11 (b) 37 (c) -5 (d) 0.4 (e) 1606
a
What is the nearest to 0.14 in 18, -282, 0.15?
0.15
What is the closest to -333 in -4/9, 2, -10, 8/155?
-10
What is the nearest to 3 in 5, 627/2, 0.076?
5
What is the nearest to -918 in 4/5, 2, -10.1?
-10.1
Which is the closest to 3? (a) -2/1165 (b) -2 (c) -0.02
a
What is the nearest to 0 in -87/56, -8783/3, -2/9?
-2/9
Which is the nearest to 7/46? (a) 114 (b) 0.01 (c) -0.3
b
Which is the nearest to -1/4? (a) 87 (b) -1/3 (c) -1/32 (d) 37
b
Which is the nearest to 0? (a) 23/14535 (b) 0 (c) 0.02
b
What is the nearest to -10 in -0.5, 0.08, -2, -0.26, -4?
-4
Which is the nearest to 0.1? (a) 24.35 (b) 1/7 (c) -8 (d) -1/4
b
What is the nearest to -0.4 in -2, 1/425, -4, 0.35?
1/425
Which is the nearest to 405? (a) 4 (b) -2/17 (c) 0 (d) -3/2 (e) -0.1
a
Which is the closest to 9? (a) 0.4 (b) -2 (c) 2/15 (d) 0.3
a
Which is the nearest to 5/2? (a) -0.15 (b) 15824 (c) 3
c
What is the closest to 2 in -0.19, 21, 180, 0.4?
0.4
What is the closest to 274 in -80/7, -1/5, -2, -0.4, 0.5, 0?
0.5
What is the closest to -0.2 in 290/3, 14.3, -9, -0.3, -0.01, 2?
-0.3
Which is the nearest to 66? (a) -2.4 (b) 1 (c) 31 (d) -6
c
Which is the nearest to 109? (a) -55 (b) 7/2 (c) -2
b
Which is the nearest to 1/2? (a) 0.1 (b) 3 (c) -5/7 (d) -0.021 (e) -82 (f) -0.1
a
What is the closest to -2/15 in -0.11, -1/2, 75, -30, -2, -1?
-0.11
What is the nearest to 6 in 174079/6, -5/4, -3?
-5/4
What is the nearest to 3.2 in 3/2, 15.41, -0.04?
3/2
What is the nearest to -2/9 in -18280, 0.3, -4, 13?
0.3
Which is the closest to -0.7505? (a) -5/3 (b) 0.9 (c) -3 (d) 1 (e) 0.01
e
Which is the nearest to 0? (a) 0.2 (b) 16 (c) -2/11 (d) 0.5 (e) 15.086
c
What is the closest to -10854 in 2, -1/626, -0.2?
-0.2
What is the nearest to -2 in -0.23, -5, -2/17, -2/8539?
-0.23
What is the closest to 1/2 in 1, -14, 0.09014?
0.09014
Which is the closest to 354? (a) -4 (b) -246 (c) 2 (d) -21
c
What is the closest to 0.1 in -0.3, -531, 0, 0.037, -1?
0.037
What is the nearest to -0.155 in -2, -2/7, -3.7, 0.0985?
-2/7
What is the nearest to -0.1 in -2, 1/73, 1245, -2/27, 2?
-2/27
Which is the nearest to 2? (a) 157 (b) 422
|
{
"pile_set_name": "DM Mathematics"
}
|
m) - 2*t(m). What is the second derivative of k(f) wrt f?
8
Let b(t) be the third derivative of -t**8/420 + t**5/15 - t**3/3 - t**2. Let p(n) be the first derivative of b(n). Find the second derivative of p(w) wrt w.
-48*w**2
Let g(h) be the second derivative of h**9/3024 + 7*h**6/720 + h**4/3 + 2*h. Let r(z) be the third derivative of g(z). Find the second derivative of r(d) wrt d.
60*d**2
Let y(h) be the third derivative of -19*h**6/60 + 11*h**5/60 - 38*h**2. What is the third derivative of y(s) wrt s?
-228
Let l(r) be the third derivative of r**7/30 - 3*r**4/8 + 10*r**2. What is the second derivative of l(u) wrt u?
84*u**2
Find the third derivative of 0*c**2 + 1 + 6*c**2 - 1 + 3*c**6 wrt c.
360*c**3
Let b be (0 - 0)/(4/2). What is the second derivative of 2*x + b + 0 + x**2 wrt x?
2
Let y(t) be the first derivative of 0*t**5 + 0*t - t**3 + 0*t**4 + 3 + 0*t**2 + 1/2*t**6. Find the third derivative of y(a) wrt a.
180*a**2
Let m(x) be the first derivative of 17*x**3 + 25*x**2/2 + 44. Find the second derivative of m(w) wrt w.
102
Let u(d) be the third derivative of 0 + 1/2*d**3 + 0*d + 1/12*d**5 + 0*d**4 - 3*d**2. Differentiate u(c) wrt c.
10*c
Find the first derivative of -1 + 31*a**3 - 1 - 28*a**3 wrt a.
9*a**2
Let p(v) be the first derivative of -13*v**4/4 - 17*v + 6. Find the first derivative of p(t) wrt t.
-39*t**2
Suppose -2*f - 30 = -5*f. What is the derivative of j + 2*j - f*j - 7 + 14 wrt j?
-7
Let o(w) = w**5 + w**4 - w**2 - w + 1. Let m(z) = -2*z**5 + z**4 - z**2 - 5*z + 1. Let t(f) = -m(f) + o(f). What is the second derivative of t(r) wrt r?
60*r**3
Let k(z) be the first derivative of 16*z**5/5 - 22*z**3/3 - 28. Find the third derivative of k(f) wrt f.
384*f
Let c(a) = a - 1. Let i = 6 - 2. Let l be c(i). Find the third derivative of 2*g + g**2 + 2*g**4 + g - l*g wrt g.
48*g
Let y(p) = -p**4 - p**3 + p**2 + p + 1. Let u(a) = -2*a**4 + 4*a**3 - 4*a**2 - 2*a - 4. Let m(o) = u(o) + 4*y(o). Find the second derivative of m(h) wrt h.
-72*h**2
Let s(y) be the third derivative of y**6/24 - y**4/24 + 23*y**2. Find the second derivative of s(p) wrt p.
30*p
Let p(y) be the first derivative of 1/3*y**3 + 1 - 3/2*y**2 + 0*y. Find the second derivative of p(a) wrt a.
2
Let i = -68 - -71. Let r(n) be the first derivative of 3/4*n**4 + 0*n**2 - 2*n + 0*n**3 - i. What is the first derivative of r(q) wrt q?
9*q**2
Let b(x) be the second derivative of -9*x**7/14 - x**4/4 + 13*x. What is the third derivative of b(s) wrt s?
-1620*s**2
Let j(g) be the second derivative of 0*g**4 + 3*g - 1/2*g**2 + 1/10*g**5 + 0 + 0*g**3. Find the first derivative of j(l) wrt l.
6*l**2
Let r(h) be the first derivative of h**2 - 3 + 1/6*h**3 + 2*h. Let c(b) be the first derivative of r(b). Find the first derivative of c(d) wrt d.
1
Suppose 0 = -i - c - 0*c + 4, -20 = -4*i - 5*c. Differentiate -14 - 3*p**4 + i*p + 8 + 0*p with respect to p.
-12*p**3
Let p(b) = 2 + 0*b + 10 - b. Let i be p(6). What is the first derivative of 2 - 2*r**3 - i*r + 6*r wrt r?
-6*r**2
Find the third derivative of -16*z**5 + 16*z**2 - 8*z**2 + 4*z**2 wrt z.
-960*z**2
Differentiate -36 - 13*b - 8*b - 17*b - 28*b wrt b.
-66
Let x(p) = 6*p**4 - 5*p**3 + 5*p**2 - 34*p + 5. Let z(w) = -w**4 + w**3 - w**2 - w - 1. Let c(l) = x(l) + 5*z(l). Find the second derivative of c(o) wrt o.
12*o**2
Suppose 0 = 4*x - 16, 0*z - 3*z = -4*x + 4. Let w = -3 - -5. What is the third derivative of -v**2 - 1 + w*v**z + 1 wrt v?
48*v
Let g(h) = -9*h**3 + 6*h**2 + 6*h + 2. Let o(v) = 19*v**3 - 13*v**2 - 13*v - 4. Let j(q) = 13*g(q) + 6*o(q). Differentiate j(m) wrt m.
-9*m**2
Let c(b) be the second derivative of -1/6*b**4 + 0 + 6*b + 0*b**3 + 0*b**2 + 1/30*b**6 + 0*b**5. What is the third derivative of c(d) wrt d?
24*d
Let h(k) be the third derivative of k**9/72 - k**5/20 + 7*k**2. What is the third derivative of h(c) wrt c?
840*c**3
Let w(x) be the second derivative of -x**5/4 - x**3/2 - 6*x. Find the second derivative of w(q) wrt q.
-30*q
Let d(b) = 4*b**5 - 4*b**4 - 7*b. Let j(f) = -f**5 - f**4. Let y(g) = d(g) - 4*j(g). Find the second derivative of y(v) wrt v.
160*v**3
Let v(l) be the second derivative of -l**4/6 - 2*l**3/3 - 10*l. Find the second derivative of v(q) wrt q.
-4
Let s(q) = -q**2 + q. Let k be s(1). Let g(w) = w**2 + w + 2. Let o be g(k). Find the third derivative of 2*f**4 - o*f**4 - f**4 + f**2 wrt f.
-24*f
Let m(b) = -b. Let n(l) = -l**3 + 2*l + 1. Let d(g) = 10*m(g) + 5*n(g). Find the first derivative of d(k) wrt k.
-15*k**2
Let y be (5 - 2) + (-5 - -3) + 5. Let o(a) be the third derivative of 0*a - 1/120*a**y + 0*a**5 + 0*a**4 + 0 + 1/3*a**3 - a**2. Differentiate o(k) wrt k.
-3*k**2
Suppose -3*d = -3*g + 24, 5*g + 5*d = -0*g. What is the third derivative of -20*t**6 - t**g + 17*t**6 + t**4 + t**2 wrt t?
-360*t**3
Find the second derivative of 0*g**2 - 12*g + 7*g**2 + 0*g**2 wrt g.
14
Let i = 10 + -8. Suppose t = i*o + o - 7, 4*t - 40 = -5*o. Find the first derivative of -2*d + t*d - 3 + 0 + 2 wrt d.
3
Let b(t) = -t + 11. Let h(u) = -12. Let l(j) = -4*b(j) - 3*h(j). What is the derivative of l(p) wrt p?
4
Let c(y) be the first derivative of -y**5 + 0*y**4 + 0*y**3 + 3/2*y**2 - 4 + 0*y. What is the second derivative of c(w) wrt w?
-60*w**2
What is the second derivative of 5*b**2 + 13*b**2 + 23*b + 2*b**2 wrt b?
40
Find the second derivative of 0*l + 6*l + 7*l**3 - 5*l wrt l.
42*l
Let r(b) = -b**2 + 5*b - 3. Let n(u) = -4*u + 2. Let t(z) = -3*n(z) - 2*r(z). What is the second derivative of t(m) wrt m?
4
Find the second derivative of -9*u - u**2 - 6*u**2 - 4*u wrt u.
-14
Let y(v) be the third derivative of 8*v**2 + 7/24*v**4 + 0 + 0*v - 5/6*v**3. What is the first derivative of y(z) wrt z?
7
Let g(i) be the second derivative of -i**6/15 - 3*i**4/4 + 3*i**2 - i. Let c(v) = v**2 - 1. Let f(l) = 6*c(l) + g(l). Find the third derivative of f(a) wrt a.
-48*a
Let m(p) = 15*p**4 - 2*p**3 + 2*p**2 + 12. Let v(f) = -46*f**4 + 7*f**3 - 7*f**2 - 37. Let y(w) = 7*m(w) + 2*v(w). What is the derivative of y(n) wrt n?
52*n**3
Let l(j) = 3*j + 1. Let p be l(1). Suppose 0 = p*y + y. What is the second derivative of 2*n + 0*n - n**5 + y*n wrt n?
-20*n**3
Let a(f) = -3*f**2 - 2*f + 5. Suppose 0*u = -6*u + 42. Let d(m) = -9*m**2 - 7*m + 16. Let z(n) = u*a(n) - 2*d(n). What is the first derivative of z(i) wrt i?
-6*i
Suppose 1 = o - 2. Suppose -d + 3*d - 4 = o*h, 0 = d - 5*h + 5. Find the second derivative of 0*v**5 - v**d + 2*v**5 + 2*v wrt v.
20*v**3
Let k(x) = -x**4 + x**3 - x**2. Let h(s) = 4*s**4 - 2*s**3 + 2*s**2 - 7*s + 31. Let c(m) = -h(m) - 2*k(m). Find the first derivative of c(n) wrt n.
-8*n**3 + 7
Let h be 69/21 - 4/14. What is the first derivative of -22 - 6*s**h + 9 + 5 wrt s?
-18*s**2
Let f(j) be the second derivative of 0*j**4 + 0*j**2 + 1/2*j**3 + 0 - 1/5*j**5 - 3*j. Find the second derivative of f(q) wrt q.
-24*q
Let b(y) = -14*y + 5. Let i(c) = -5*c + 2. Let p be 4/1 + 0/(-1). Let h(d) = p*b(d) - 11*i(d). Differentiate h(t) wrt t.
-1
Let w(g) be the third derivative of g**6/10 - 19*g**4/24 - 4*g**2. What is the second derivative of w(h) wrt h?
72*h
Let k(d) be the first derivative of d**3 + d**2 - d**3 + 2*d**2 + d**3 + 1. What is the second derivative of k(f) wrt f?
6
Let p = 15/2 - 71/10. Let k(u) be the first derivative of -1 - p*u**5 + 0*u**4 + 0*u + 2/3*u**3 + 0*u**2. What is the third derivative of k(w) wrt w?
-48*w
Find the first derivative of -10 + 21 + 17 + 3 + 34*g**2 wrt g.
68*g
Let w(k) = 6*k**2 - 9. Let u(d) = -24*d**2 + 37. Let x(s) = 2*u(s) + 9*w(s). Differentiate x(m) with respect to m.
12*m
Let r(j) = j - 1. Let n be r(6). Suppose -1 = n*h - 11. What is the derivative of -2 - b**4 - 2 + h*b**4 + 2 wrt b?
4*b**3
Suppose 4*r + 16 = 0, 0 = -2*m + r - 0*r + 8. Suppose 2*c - 6 = -b, 2*c - 3 = -1. What is the third derivative of -o**4 + 2*o**b + o**4 + o**m wrt o?
48*o
Let b be ((-6)/2 - -2)*-1. Let u(m) = -m**2 - 13*m + 15. Let q be u(-14). What is the third derivative of p**4 + p**2 + q - b wrt p?
24*p
Let c(b) = 0*b + 0*b + 5*b - 9*b**2 + b**2. Suppose l + 2 = -0. Let t(x) = -2*x**2 + x. Let m(o) = l*c(o) + 9*t(o). What is the second derivative of m(g) wrt g?
-4
Let g(r) be the third derivative of -4*r**7/105 + r**5/10 - 9*r**2. Find the third derivative of g(p) wrt p.
-192*p
Let l(m) = -m.
|
{
"pile_set_name": "DM Mathematics"
}
|
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