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stringlengths 270
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48 PM?
5:24 AM
What is 514 minutes after 11:21 PM?
7:55 AM
What is 142 minutes after 8:16 PM?
10:38 PM
What is 260 minutes after 11:21 AM?
3:41 PM
What is 644 minutes after 4:36 PM?
3:20 AM
How many minutes are there between 5:06 PM and 12:45 AM?
459
What is 611 minutes after 12:13 PM?
10:24 PM
How many minutes are there between 8:53 AM and 8:43 PM?
710
How many minutes are there between 7:59 PM and 8:05 PM?
6
What is 101 minutes before 9:00 AM?
7:19 AM
What is 207 minutes before 11:21 AM?
7:54 AM
What is 588 minutes before 6:02 PM?
8:14 AM
How many minutes are there between 7:24 AM and 2:14 PM?
410
What is 376 minutes after 3:58 PM?
10:14 PM
How many minutes are there between 10:44 PM and 4:09 AM?
325
How many minutes are there between 7:29 PM and 8:18 PM?
49
What is 388 minutes after 2:56 AM?
9:24 AM
What is 597 minutes after 2:32 PM?
12:29 AM
How many minutes are there between 6:52 AM and 3:03 PM?
491
How many minutes are there between 2:39 PM and 1:31 AM?
652
What is 110 minutes before 7:06 AM?
5:16 AM
What is 321 minutes after 2:13 PM?
7:34 PM
How many minutes are there between 2:29 PM and 5:05 PM?
156
How many minutes are there between 1:07 AM and 1:01 PM?
714
What is 167 minutes after 12:45 AM?
3:32 AM
What is 33 minutes before 5:16 AM?
4:43 AM
What is 353 minutes after 6:50 PM?
12:43 AM
How many minutes are there between 11:29 PM and 6:03 AM?
394
How many minutes are there between 10:49 PM and 6:12 AM?
443
How many minutes are there between 2:50 PM and 9:02 PM?
372
How many minutes are there between 8:03 AM and 10:38 AM?
155
How many minutes are there between 3:01 AM and 9:14 AM?
373
How many minutes are there between 7:57 PM and 6:27 AM?
630
What is 496 minutes before 6:32 AM?
10:16 PM
What is 588 minutes after 5:21 AM?
3:09 PM
What is 126 minutes before 11:58 PM?
9:52 PM
What is 310 minutes after 10:27 AM?
3:37 PM
What is 149 minutes after 11:01 AM?
1:30 PM
What is 321 minutes after 10:37 AM?
3:58 PM
How many minutes are there between 3:14 PM and 12:06 AM?
532
How many minutes are there between 2:40 AM and 3:22 AM?
42
How many minutes are there between 4:48 PM and 8:17 PM?
209
How many minutes are there between 7:18 PM and 2:14 AM?
416
What is 4 minutes after 1:56 PM?
2:00 PM
What is 663 minutes after 11:28 AM?
10:31 PM
What is 401 minutes after 6:20 AM?
1:01 PM
What is 482 minutes before 3:06 PM?
7:04 AM
What is 252 minutes after 3:50 PM?
8:02 PM
How many minutes are there between 10:04 AM and 6:28 PM?
504
How many minutes are there between 2:55 PM and 5:42 PM?
167
How many minutes are there between 6:59 AM and 7:39 AM?
40
What is 676 minutes before 1:02 AM?
1:46 PM
How many minutes are there between 10:14 AM and 10:41 AM?
27
What is 387 minutes after 6:01 AM?
12:28 PM
What is 573 minutes after 2:00 PM?
11:33 PM
How many minutes are there between 9:26 PM and 10:56 PM?
90
How many minutes are there between 12:51 AM and 7:51 AM?
420
What is 373 minutes before 12:44 AM?
6:31 PM
How many minutes are there between 8:35 PM and 6:13 AM?
578
What is 535 minutes before 7:56 PM?
11:01 AM
What is 77 minutes after 9:36 AM?
10:53 AM
How many minutes are there between 1:19 PM and 11:03 PM?
584
How many minutes are there between 11:27 AM and 5:58 PM?
391
How many minutes are there between 11:52 AM and 10:26 PM?
634
What is 155 minutes after 9:05 PM?
11:40 PM
What is 39 minutes before 11:14 AM?
10:35 AM
How many minutes are there between 9:32 PM and 8:54 AM?
682
How many minutes are there between 8:13 AM and 8:23 AM?
10
How many minutes are there between 6:12 PM and 11:34 PM?
322
What is 283 minutes before 6:07 AM?
1:24 AM
How many minutes are there between 9:22 AM and 12:59 PM?
217
How many minutes are there between 2:50 AM and 3:01 AM?
11
How many minutes are there between 3:40 AM and 12:28 PM?
528
How many minutes are there between 6:13 PM and 2:00 AM?
467
What is 265 minutes after 10:33 PM?
2:58 AM
What is 69 minutes after 1:23 PM?
2:32 PM
What is 173 minutes before 9:08 AM?
6:15 AM
How many minutes are there between 8:19 AM and 7:19 PM?
660
How many minutes are there between 4:53 PM and 12:41 AM?
468
How many minutes are there between 8:29 AM and 11:08 AM?
159
What is 40 minutes after 2:22 PM?
3:02 PM
How many minutes are there between 8:12 PM and 12:18 AM?
246
What is 303 minutes after 9:08 PM?
2:11 AM
What is 238 minutes after 10:21 PM?
2:19 AM
How many minutes are there between 4:49 AM and 4:53 AM?
4
What is 63 minutes before 10:01 PM?
8:58 PM
How many minutes are there between 12:20 PM and 7:45 PM?
445
What is 508 minutes before 5:16 PM?
8:48 AM
How many minutes are there between 8:39 AM and 1:34 PM?
295
How many minutes are there between 8:37 AM and 7:59 PM?
682
How many minutes are there between 12:44 PM and 6:07 PM?
323
What is 186 minutes after 4:18 PM?
7:24 PM
How many minutes are there between 4:32 PM and 2:10 AM?
578
How many minutes are there between 7:11 AM and 12:06 PM?
295
How many minutes are there between 10:39 PM and 8:59 AM?
620
How many minutes are there between 5:16 AM and 9:28 AM?
252
What is 120 minutes before 1:16 PM?
11:16 AM
How many minutes are there between 8:51 PM and 2:09 AM?
318
What is 158 minutes after 12:32 PM?
3:10 PM
What is 254 minutes before 11:48 PM?
7:34 PM
How many minutes are there between 4:17 PM and 11:51 PM?
454
How many minutes are there between 11:58 PM and 3:02 AM?
184
How many minutes are there between 9:52 AM and 3:51 PM?
359
How many minutes are there between 7:40 PM and 9:09 PM?
89
What is 416 minutes after 11:50 AM?
6:46 PM
How many minutes are there between 2:09 AM and 8:53 AM?
404
How many minutes are there between 6:20 PM and 2:21 AM?
481
What is 682 minutes after 1:10 PM?
12:32 AM
What is 582 minutes before 11:37 AM?
1:55 AM
What is 203 minutes after 7:43 AM?
11:06 AM
How many minutes are there between 8:01 PM and 2:57 AM?
416
How many minutes are there between 6:58 AM and 8:40 AM?
102
What is 639 minutes before 3:01 PM?
4:22 AM
What is 467 minutes before 2:51 PM?
7:04 AM
What is 82 minutes before 9:54 PM?
8:32 PM
What is 82 minutes before 12:14 AM?
10:52 PM
What is 302 minutes before 10:00 PM?
4:58 PM
What is 689 minutes before 4:52 PM?
5:23 AM
What is 524 minutes after 11:22 AM?
8:06 PM
How many minutes are there between 9:24 AM and 9:28 AM?
4
What is 283 minutes after 7:23 PM?
12:06 AM
How many minutes are there between 2:25 AM and 8:52 AM?
387
What is 504 minutes before 6:12 AM?
9:48 PM
What is 610 minutes after 3:01 PM?
1:11 AM
How many minutes are there between 12:18 PM and 5:09 PM?
291
How many minutes are there between 2:39 AM and 6:02 AM?
203
What is 35 minutes before 9:22 AM?
8:47 AM
How many minutes are there between 12:23 PM and 3:08 PM?
165
How many minutes are there between 3:13 PM and 7:17 PM?
244
What is 568 minutes after 7:58 PM?
5:26 AM
What is 302 minutes before 1:36 PM?
8:34 AM
What is 690 minutes before 3:01 AM?
3:31 PM
How many minutes are there between 11:55 PM and 5:05 AM?
310
What is 376 minutes before 9:16 PM?
3:00 PM
What is 202 minutes after 8:19 PM?
11:41 PM
How many minutes are there between 10:25 AM and 4:39 PM?
374
What is 481 minutes after 6:10 PM?
2:11 AM
What is 525 minutes after 2:22 PM?
11:07 PM
How many minutes are there between 11:47 AM and 10:49 PM?
662
What is 693 minutes after 2:27 AM?
2:00 PM
What is 583 minutes before 1:35 PM?
3:52 AM
How many minutes are there between 8:46 AM and 8:16 PM?
690
What is 36 minutes before 3:09 AM?
2:33 AM
How many minutes are there between 5:54 AM and 1:56 PM?
482
How many minutes are there between 7:46 AM and 8:22 AM?
36
What is 585 minutes before 4:00 AM?
6:15 PM
What is 360 minutes after 10:48 AM?
4:48 PM
What is 310 minutes before 4:33 PM?
11:23 AM
What is 6 minutes before 9:03 AM?
8:57 AM
What is 186 minutes before 1:52 AM?
10:46 PM
What is 203 minutes after 8:16 PM?
11:39 PM
What is 446 minutes before 10:54 PM?
3:28 PM
How many minutes are there between 5:32 AM and 5:19 PM?
707
How many minutes are there between 5:34 PM and 4:37 AM?
663
What is 279 minutes after 2:59 PM?
7:38 PM
How many minutes are there between 3:10 AM and 5:55 AM?
165
How many minutes are there between 4:47 PM and 1:50 AM?
543
What is 310 minutes after 12:20 PM?
5:30 PM
What is 488 minutes before 12:53 PM?
4:45 AM
What is 482 minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
the tens digit of l?
1
Let o = 2 - -3. Suppose -q + 2*a - 7 = 0, o*q = 4*a - 0*a - 5. Suppose -6*y + q*y + 33 = 0. What is the tens digit of y?
1
Let o = 325 - 180. What is the tens digit of o?
4
Let r be (-1)/(-4) + (-105)/4. Let q = -66 - r. What is the units digit of (2/(-5))/(4/q)?
4
Let c be ((-96)/(-14))/((-3)/(-21)). Suppose -4*v + c = 4*j, 5*j - 41 = -4*v + 20. What is the units digit of j?
3
Let r = -36 - -62. What is the units digit of r?
6
What is the units digit of -3*(-7)/3 - 4?
3
Let d(s) = s**2 + 5*s + 4. Let u be d(-4). Suppose 0 = -u*y + 3*y - 12. Suppose 14 = y*p + 2. What is the units digit of p?
3
What is the hundreds digit of (-36 + 0)*(-26)/8?
1
Let u = 0 + 2. Suppose -117 = -5*m - u*y, 0*y - 113 = -5*m - 3*y. What is the tens digit of m?
2
Let j(n) = -7*n**2 + 27*n + 27. Let v(t) = -3*t**2 + 13*t + 13. Let l(z) = 4*j(z) - 9*v(z). Let k be l(-8). Let a = 8 - k. What is the units digit of a?
9
Suppose 0 = -0*v - 5*v + 250. What is the tens digit of v?
5
Let j(o) = o + 1. Let k(a) = 6*a + 1. Let c(i) = -2*j(i) + k(i). Let w be c(2). Let f = w - 4. What is the units digit of f?
3
Let i(x) = x**3 - 4*x**2 + 4*x - 1. Let q(c) = -c**3 + 4*c**2 - c - 2. Let w be q(3). What is the units digit of i(w)?
5
Let i = -4 - -11. Let g(b) = -b**2 + 6*b + 7. Let q be g(i). Let v = q + 5. What is the units digit of v?
5
Suppose 4*z + 2*o = 128, 2*o - 160 = -5*z - 0*z. What is the tens digit of z?
3
Suppose -22 = -4*h + 4*l + 46, -5*h + 106 = 2*l. Let a = h - 11. What is the units digit of a?
9
Suppose a = -5*a + 1764. What is the hundreds digit of a?
2
Suppose -3*z = -2*f + 143, 0 = 5*f + 4*z - 219 - 104. What is the units digit of f?
7
Suppose 4 = -4*c, -5*v - 4 = -0*v + 4*c. Let s be v*(2 + 15/(-6)). What is the units digit of 5 + -1*(-1 - s)?
6
Let m be -4 - (-93 - -1 - -2). Let w = m - 42. What is the units digit of w?
4
Let c(w) = -11*w + 1. What is the tens digit of c(-2)?
2
Let q(o) be the second derivative of o**5/20 + o**4/2 - o**3/3 - 7*o**2/2 + o. What is the units digit of q(-6)?
5
Let d(m) = m. Let p(b) = 7*b - 2. Let w(z) = -6*d(z) + p(z). What is the units digit of w(5)?
3
Let m = -64 - -110. What is the tens digit of m?
4
Let o = 15 - 12. Suppose -3*i - 9 = -2*g + 6, -o*g + i + 33 = 0. What is the tens digit of g?
1
Let x(g) = -g**3 - 9*g**2 - 15*g - 5. What is the units digit of x(-10)?
5
Let a(s) = -s - 1. Let p(r) = -4*r + 1. Let k(q) = 2*a(q) - p(q). Let d be k(3). Suppose -d*n + 1 = -2. What is the units digit of n?
1
Suppose 4*k = -3*l + 10, 3*k - 4 = l + 10. Let w(h) = 7*h**2 - h. Let r be w(1). Let y = l + r. What is the units digit of y?
4
What is the tens digit of (-1396)/(-16) - (-2 + 18/8)?
8
Let v(h) be the first derivative of h**4/4 + h**3 - 5*h**2/2 + h + 19. Let d = -14 - -10. What is the units digit of v(d)?
5
Let v(z) be the first derivative of z**2 - 12*z + 6. What is the units digit of v(8)?
4
Let c(q) = -3*q**2 - 6*q + 2*q - 7*q**3 + 5*q**3 + 2 - 5. What is the units digit of c(-2)?
9
Let i = -3 + 20. Suppose -91 = -5*n + 2*s - 21, 0 = -4*n + s + 53. Let k = i - n. What is the units digit of k?
5
Suppose 6*s - 2*s - 4 = -4*y, -2*y + 8 = 4*s. What is the units digit of s?
3
Suppose 4*i + 20 = -3*j, 5*j + 0*j - 2*i - 10 = 0. Suppose j = l - 3*l - 42. Let q = -3 - l. What is the units digit of q?
8
Suppose -1 = -3*x - u + 11, 2*x - 8 = 3*u. Let k = x - 3. What is the units digit of k?
1
Suppose -4 - 17 = s. Let u = 49 + s. Suppose 0*i - 2*i = -u. What is the tens digit of i?
1
Let u(h) = -h**3 - 5*h**2. Let q be u(-6). Suppose 3*f + q = 5*f. What is the units digit of f?
8
Let u be 1/4 + (-382)/(-8). Suppose 71 = -3*w - 28. Let m = u + w. What is the tens digit of m?
1
Let x = 251 - -95. What is the hundreds digit of x?
3
Let y = 13 + -9. Let p(s) = s**3 - 3*s**2 + 2*s + 1. What is the tens digit of p(y)?
2
Suppose -13 = 5*t - f - f, -2*t + f - 5 = 0. What is the tens digit of (-1 - (1 - t))*-5?
2
Let t(v) = -8*v - 1. Let l be t(-1). Let g = l - -4. What is the units digit of g?
1
Suppose -5*m + 124 - 34 = 0. Suppose -5*a = i + m, -2*a - 5 = -5*i + 13. Suppose -4*k - i = -34. What is the units digit of k?
8
Let t(u) = u**3 - 4*u**2 + u - 2. Let h be t(4). Suppose -25 = -2*n + o, h*o - 56 = -5*n + 29. What is the tens digit of n?
1
Suppose -9*r = -5*r - 180. What is the tens digit of r?
4
Let o be 262/8 - (-3)/(-4). Suppose -o = -5*v + v. What is the units digit of v?
8
Let p(v) = v**3 - v**2 + v + 1. Let n be p(-1). Suppose 0 = a - 5 - 1. Let u = n + a. What is the units digit of u?
4
Let c be (-5)/((-30)/(-4))*-3. Suppose 0 = 4*f - c*f. Suppose -5*q + 5*g + 60 = f, 2 - 4 = g. What is the units digit of q?
0
Suppose -205 - 50 = -5*u. What is the units digit of u?
1
Suppose -4*p + 0*p = 8. Let l = 6 + p. What is the units digit of l?
4
Suppose -323 + 59 = -6*p. What is the units digit of p?
4
Let s(i) = -i**3 + 8*i**2 + 5*i - 4. Let k be s(8). Suppose -2*j - 2*j = k. What is the units digit of (-16)/j - 2/(-9)?
2
What is the units digit of (-36)/(-28) - 4/14?
1
Let r(s) = 2*s + 1. Let q be r(2). Suppose 3*x - q*p - 12 = 0, -2*x + 0 + 33 = 5*p. What is the units digit of x?
9
Let c(o) = o**3 - 3*o**2 - 4*o + 4. Let n be c(4). Suppose -2*h + 5 + 52 = d, n*h + d - 115 = 0. What is the tens digit of h?
2
What is the units digit of (-4 - (-3 + 3)) + 13?
9
Let t = -9 - -11. Let v(i) = 19*i**2 - 2*i + 3. Let x be v(t). Suppose -3*r = 2*r - x. What is the tens digit of r?
1
Let u be (0 + 6)/(2/5). Suppose 0 = 2*t - 5 - u. What is the tens digit of t?
1
Let i(j) = j**2 - 8*j + 1. Let g be i(8). Let m = g - -2. Suppose 0 = s + 2*s + 2*y + m, 0 = 3*s + 4*y + 9. What is the units digit of s?
1
Let i(q) be the second derivative of -q**3/6 + q**2 - 2*q. What is the units digit of i(-6)?
8
Let f = 79 - -30. What is the tens digit of f?
0
Let b = -30 + 12. What is the units digit of (-2)/(-1) - b/2?
1
Suppose 17 = 3*z - i - 3, 0 = 2*z + 4*i + 10. Suppose z = q - 3*x, 5*q - 2*x - 26 = 64. What is the tens digit of q?
2
Let n(h) = h - 2. What is the tens digit of n(12)?
1
Let j = 274 + -136. What is the hundreds digit of j?
1
Let y = 2 - 2. Let w(b) = y + b + 9*b**2 + 0 + 1. What is the units digit of w(-1)?
9
Suppose 4*c = -k + 533, 5*k + 102 = 2*c - 137. What is the units digit of c?
2
Suppose -2*p = -5*p. Suppose -3*a + p*a + 44 = -4*z, -3*a + 30 = 3*z. What is the tens digit of a?
1
Suppose 0 = -0*d + 2*d + 4, 4*f - 702 = -5*d. What is the units digit of f?
8
Suppose 0*z + 2*z - 214 = 0. What is the units digit of z?
7
Suppose -2*y + 1 = -m, -3*y - 8 = -4*m - 7*y. What is the units digit of 7 - (-3 + (m - 0))?
9
Let y(j) = -7*j - 7. Let x be y(-5). Let f be x/20 - (-2)/(-5). Suppose 0 = -2*a + 3*a - 4*p - f, 5*p = -4*a + 25. What is the units digit of a?
5
Let d be 8/(-12) + 112/6. Suppose d = 4*u - 10. Suppose -u = 4*m - 31. What is the units digit of m?
6
Let k be (16/6)/(10/165). Suppose k = -3*j + 7*j + 4*w, j - 2*w = -1. What is the units digit of j?
7
Let h = -4 - -3. Let f(a) = -a**2 + 6*a - 3. Let z be f(6). What is the units digit of (1*h)/(z/15)?
5
Let k be 1/2 - 3/6. Suppose o - 6 = -p, k*o + 4*p = 4*o - 40. What is the units digit of o?
8
What is the tens digit of -1 + ((-3)/15 - (-661)/5)?
3
Suppose -z - 76 = -5*z - 4*i, 4*z - 3*i = 90. What is the tens digit of z?
2
Let d be 2/(-10) - 93/(-15). Suppose d*j = j. Let h = j - -1. What is the units digit of h?
1
Let o = -21 + 56. What is the tens digit of o?
3
What is the tens digit of ((-99)/11)/(3/(-10))?
3
Suppose -4*f = -23 - 601. What is the units digit of f?
6
Let q be (4/10 + 0)*10. Let t(z) = q + z**2 - 2 - 1. What is the units digit of t(2)?
5
Suppose -66 = 2*x - z, -x = -4*x + 5*z - 92. Let h = -20 - x. Suppose 0 = -4*r + 2*r + h. What is the units digit of r?
7
Let a(b) = b**3 - 3*b**2 - b - 9. What is the tens digit of a(6)?
9
Let c(u) = -28*u - 7. Let s(n) = -83*n - 20. Let j(l) = 17*c(l) - 6*s(l). Let t be j(1). Suppose -5*g = -7 - t. What is the units digit of g?
6
Suppose -27 = -0*q - 3*q. Suppose -5*v = -2*b + q, 4*b - 21 = 3*v + 18. What is the tens digit of b?
1
Suppose 0*i + 2*i = 14. Suppose 5*u = 4*b + 1, -5*u + i = b + 1. What is the units digit of u?
1
Let z = 3 + 13. What is the units digit of z?
6
Let m = 0 + 0. What is the tens d
|
{
"pile_set_name": "DM Mathematics"
}
|
5 in descending order.
1415, -5, -50.982
Sort 0.2, -7/10, -1744/9.
-1744/9, -7/10, 0.2
Sort 40, -1, -262, 2, -33 in ascending order.
-262, -33, -1, 2, 40
Sort 0, -3, 18, -1, 46889 in increasing order.
-3, -1, 0, 18, 46889
Sort -5, 3, -4, 6, -2649, -9, 2 in ascending order.
-2649, -9, -5, -4, 2, 3, 6
Sort 18, 3, -5, -1980, -4 in descending order.
18, 3, -4, -5, -1980
Put -347, 5, -0.5, -1/7, -5, 1995 in decreasing order.
1995, 5, -1/7, -0.5, -5, -347
Put -3936779, -1, -3, 6, -4 in decreasing order.
6, -1, -3, -4, -3936779
Put 2, 11, 3, -6, 4, -39, -106 in decreasing order.
11, 4, 3, 2, -6, -39, -106
Sort -5, 1, 391.5627 in descending order.
391.5627, 1, -5
Sort -2, -53909, -1, -6, 1 in descending order.
1, -1, -2, -6, -53909
Sort -28, 2/5, 31, -1, -2, -27 in increasing order.
-28, -27, -2, -1, 2/5, 31
Put -3, 0, -5, -1.8, -8, 34, 5 in descending order.
34, 5, 0, -1.8, -3, -5, -8
Put -3812, -0.019, -183 in ascending order.
-3812, -183, -0.019
Put -6.3, -14, 4/53, 0.2, 21/10 in increasing order.
-14, -6.3, 4/53, 0.2, 21/10
Put -4, 4, 3320, -3, 36 in decreasing order.
3320, 36, 4, -3, -4
Put 0, -2/101, -3463 in ascending order.
-3463, -2/101, 0
Put 0.2, -5/8, -114, -0.2, 56 in decreasing order.
56, 0.2, -0.2, -5/8, -114
Sort 67174, -72, -5 in increasing order.
-72, -5, 67174
Sort -2/180105, 7, 1.6 in descending order.
7, 1.6, -2/180105
Put 883072, 17, 15 in ascending order.
15, 17, 883072
Put -8/3, -0.5, -3/5, 1, 7/2413 in descending order.
1, 7/2413, -0.5, -3/5, -8/3
Sort 2/9, -282, -14, -1, 11.
-282, -14, -1, 2/9, 11
Sort 1401, 7, -334.
-334, 7, 1401
Put -24.7, 0.1, -1650, 2/5, 3 in decreasing order.
3, 2/5, 0.1, -24.7, -1650
Sort -4, -10, -22387, -1 in decreasing order.
-1, -4, -10, -22387
Put -19, 4/3, -21, 0.619 in increasing order.
-21, -19, 0.619, 4/3
Sort 2, 147, -308, -108 in ascending order.
-308, -108, 2, 147
Sort 1231, 35704, -3 in decreasing order.
35704, 1231, -3
Sort 1/5, 4/3, -4, -681, 3.6, 1/7.
-681, -4, 1/7, 1/5, 4/3, 3.6
Put -141, 940, -2 in decreasing order.
940, -2, -141
Put -2/121, -4, 142/27, 5, -18 in decreasing order.
142/27, 5, -2/121, -4, -18
Sort 43018, 1, -323 in decreasing order.
43018, 1, -323
Sort -1/3, 6664713, 2/13, 2 in decreasing order.
6664713, 2, 2/13, -1/3
Sort 16, -3, 4, -1, 38, 31.
-3, -1, 4, 16, 31, 38
Put 0.3, -4, -1/4, -1716, -3, 2/29 in descending order.
0.3, 2/29, -1/4, -3, -4, -1716
Sort -4, -5, 427, 1, 13, -1 in descending order.
427, 13, 1, -1, -4, -5
Put -4, 48, -5, 1, -1, 195 in increasing order.
-5, -4, -1, 1, 48, 195
Sort -3, 18, 7, 5, 188281 in decreasing order.
188281, 18, 7, 5, -3
Sort 44, -20, -5, -235, 3, -4 in ascending order.
-235, -20, -5, -4, 3, 44
Sort -5, 1, -4, 2, 13, -7, -10.
-10, -7, -5, -4, 1, 2, 13
Sort -0.5, -4, 0.66, -87.5.
-87.5, -4, -0.5, 0.66
Sort 11499, 2, 0, 49 in decreasing order.
11499, 49, 2, 0
Put 5, -14, 4, -494, 161, 8 in ascending order.
-494, -14, 4, 5, 8, 161
Put 50, -208, -1860, 4, 0 in descending order.
50, 4, 0, -208, -1860
Sort 0, -2, 5, -5, 766, -42, -20 in increasing order.
-42, -20, -5, -2, 0, 5, 766
Sort -26, 1/2242, -11 in decreasing order.
1/2242, -11, -26
Sort 4, 5, -1, 1351, -832, 2/3 in descending order.
1351, 5, 4, 2/3, -1, -832
Put -38, 3, -72, -1521, 0 in ascending order.
-1521, -72, -38, 0, 3
Put 83, -1, 879443 in ascending order.
-1, 83, 879443
Sort -0.02495, -2, -0.196.
-2, -0.196, -0.02495
Put 121, -6, -5, -3630 in increasing order.
-3630, -6, -5, 121
Put -3996, -1, -11 in decreasing order.
-1, -11, -3996
Put 65, 0, -34, 48 in increasing order.
-34, 0, 48, 65
Sort -2, 0, 6, -4, 193, 20, -3 in descending order.
193, 20, 6, 0, -2, -3, -4
Put -346, 373, 4, -101 in descending order.
373, 4, -101, -346
Sort 136, -691, 116 in decreasing order.
136, 116, -691
Sort -25, 8, -33, 7, -12 in increasing order.
-33, -25, -12, 7, 8
Put 0.75, -102, 71, 0.5 in increasing order.
-102, 0.5, 0.75, 71
Sort -1, 2429, -2306 in decreasing order.
2429, -1, -2306
Sort -2306, -1, 3, -23, 1 in descending order.
3, 1, -1, -23, -2306
Sort -39, -5, 0.2, 40, -699 in increasing order.
-699, -39, -5, 0.2, 40
Put -1, 3/2, 3/8, -48, 0.2, -3/4 in descending order.
3/2, 3/8, 0.2, -3/4, -1, -48
Put 3, -17, -5, -2, 8863, 1, -4 in decreasing order.
8863, 3, 1, -2, -4, -5, -17
Sort -2, 0, -3, -10, -8, -6.325.
-10, -8, -6.325, -3, -2, 0
Put 12.9546, -1.27, -2/7 in descending order.
12.9546, -2/7, -1.27
Sort -5148, 9, -41, 0.
-5148, -41, 0, 9
Put 5, 57, 1, -4, 903 in increasing order.
-4, 1, 5, 57, 903
Sort 0.5, 39216, -415 in decreasing order.
39216, 0.5, -415
Sort -102, 1, 11, 3, 0, 4, 50 in increasing order.
-102, 0, 1, 3, 4, 11, 50
Sort 4, 81480, 17.
4, 17, 81480
Put -2, -12, 2, -4, -809, -51, -1 in descending order.
2, -1, -2, -4, -12, -51, -809
Sort 48, -59, 2, -86 in decreasing order.
48, 2, -59, -86
Put 1, -5, 9, 49, -4, 4 in decreasing order.
49, 9, 4, 1, -4, -5
Sort 2/35, 1528, 0, 3/8, 0.5, -7 in ascending order.
-7, 0, 2/35, 3/8, 0.5, 1528
Sort 490, 0, 4, -1/7, -2, -82 in increasing order.
-82, -2, -1/7, 0, 4, 490
Sort -0.014, 17090, -3, -1/7 in increasing order.
-3, -1/7, -0.014, 17090
Put 0, -10, -4, 2793, -79 in decreasing order.
2793, 0, -4, -10, -79
Put 111, -947, -6, -8 in ascending order.
-947, -8, -6, 111
Put -87, -8, -2, -1, 3844 in increasing order.
-87, -8, -2, -1, 3844
Put 1/109, -192, -0.66, 3 in increasing order.
-192, -0.66, 1/109, 3
Sort -3/5, 4, -2, -0.277, 2/9 in increasing order.
-2, -3/5, -0.277, 2/9, 4
Sort 6542, 2, 7, -80.
-80, 2, 7, 6542
Sort 5, -1, 14, -2, -4870, 2 in descending order.
14, 5, 2, -1, -2, -4870
Put -8, -10, 2, -5, 15, 21, -4 in decreasing order.
21, 15, 2, -4, -5, -8, -10
Sort 4, -3, -18, -108, -2, -138.
-138, -108, -18, -3, -2, 4
Sort -18, 5, 1038948 in descending order.
1038948, 5, -18
Put -5, 1, -4, 238, 12, -2, -40 in decreasing order.
238, 12, 1, -2, -4, -5, -40
Sort 0, 18953953, -5.
-5, 0, 18953953
Sort 3.9, 0.02, -2.4, 0 in decreasing order.
3.9, 0.02, 0, -2.4
Sort 1113, 0.5, 3, -0.18, 609/2.
-0.18, 0.5, 3, 609/2, 1113
Put 34342, 3, -1016 in increasing order.
-1016, 3, 34342
Sort 11/52, -4, 3/4, -1, 3, -18, 2 in ascending order.
-18, -4, -1, 11/52, 3/4, 2, 3
Sort -5, -3, 3, 20862, 0 in ascending order.
-5, -3, 0, 3, 20862
Sort 1/2, -2272, -11/24 in descending order.
1/2, -11/24, -2272
Sort 1059, -0.12, 4/7, 0, 0.068.
-0.12, 0, 0.068, 4/7, 1059
Put 3, 2/3, -223260 in decreasing order.
3, 2/3, -223260
Sort 6, -4/3, -441, -1, 0.01, 1, -2 in descending order.
6, 1, 0.01, -1, -4/3, -2, -441
Sort -14, 3, 72641 in ascending order.
-14, 3, 72641
Sort 5, 5036, -5, -2326 in decreasing order.
5036, 5, -5, -2326
Sort 2, -112, -6, 51, 8, 9.
-112, -6, 2, 8, 9, 51
Put 5, -3, -5, -50862, -4, 87 in ascending order.
-50862, -5, -4, -3, 5, 87
Put 11, -0.05925, -22 in ascending order.
-22, -0.05925, 11
Sort -20, 184, 6, -27, -9.
-27, -20, -9, 6, 184
Sort 0.2, 0, -0.043, 36, 0.04732.
-0.043, 0, 0.04732, 0.2, 36
Put -126, 2, 1, -251, -119 in decreasing order.
2, 1, -119, -126, -251
Sort 2, -158, 82, 56, 3 in descending order.
82, 56, 3, 2, -158
Sort -5, -263026, 162, 1 in decreasing order.
162, 1, -5, -263026
Put 3, 1.1606, 0.0807 in increasing order.
0.0807, 1.1606, 3
Put -63, 0, -34, -5, 18, 2 in descending order.
18, 2, 0, -5, -34, -63
Sort 1, 0.3, 1884, -0.1, 0.2, -144.
-144, -0.1, 0.2, 0.3, 1, 1884
Sort -4, 44, -5, 2, -2, 3.
-5, -4, -2, 2, 3, 44
Sort -28, 13, 4, -61789.
-61789, -28, 4, 13
Sort -10, -4, 3, -34, 5, 46, 0 in descending order.
46, 5, 3, 0, -4, -10, -34
Put 10729, 2, -4/41 in descending order.
10729, 2, -4/41
Put -4, -5, -29, -1089 in descending order.
-4, -5, -29, -1089
Put 5, 35, -1, -7, -53, -5, 3 in ascending order.
-53, -7, -5, -1, 3, 5, 35
Sort -7, -701, 5, -2, -3 in decreasing order.
5, -2, -3, -7, -701
Sort 0.5, -10/11, -0.0191, -447/2 in increasing order.
-447/2, -10/11, -0.0191, 0.5
Put -5, 1, 5, 153, -977, -7 in increasing order.
-977, -7, -5, 1, 5, 153
Put -10, -7/4, -0.947, -4/5, -2/99 in decreasing order.
-2/99, -4/5, -0.947, -7/4, -10
Put -71758, -8, 7 in increasing order.
-71758, -8, 7
Sort 44, 25, 26, 42, 5, 2, 18 in decreasing order.
44, 42, 26, 25, 18, 5, 2
Sort -44, 30, 1006 in decreasing order.
1006, 30, -44
Sort 14717, -1, 5, -111, -15.
-111, -15, -1, 5, 14717
Sort 3/7, 14597, 0.34, 0.
0, 0.34, 3/7, 14597
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
Let a be ((-105)/90)/(-7) - (-5)/6. Is a/(-10)*69022*-5 prime?
True
Is (-364)/((-392)/14)*24733/13 prime?
True
Suppose -f - 294 = -5*v + 2*v, 0 = -2*f. Let s = -88 - v. Let z = s - -289. Is z composite?
False
Let y(b) = -b**3 - 11*b**2 + 2*b + 26. Let d be y(-11). Let m be (-7)/(42/d) + 3189/(-9). Let x = 1566 + m. Is x prime?
False
Let q = 68 - 67. Let c be (3 + (-5)/(5/3))/q. Suppose c = 4*n - 1299 + 71. Is n prime?
True
Let b = -178 + 187. Let u(w) = 38*w**2 + 10*w - 31. Is u(b) a composite number?
False
Let f be 1/3*2/((-2)/(-9)). Let w(i) = -i**2 + 10*i - 18. Let y be w(6). Suppose 2*m + 846 = y*g - 2*g, f*g + 5*m - 667 = 0. Is g prime?
False
Suppose 13271 = 11*l - 23678. Is l composite?
False
Let z(l) be the first derivative of -27*l**4/4 + l**3/3 - 3*l**2/2 - 5*l - 6. Let f be -1 - (5 - (4 - 0)). Is z(f) a composite number?
True
Let z(o) = 4697*o**2 + 56*o - 208. Is z(11) a prime number?
False
Is 28319/(-14 + 105/7) a composite number?
False
Suppose 7*i - 4*u - 26 = 2*i, 2*i = -u. Let a(o) = 1022*o**3 + o**2 - o + 4. Is a(i) a composite number?
True
Let r = 66 - 64. Suppose r*u - 2*z = 5*u + 3, 6 = 3*u - z. Is (4/(0 + u))/(6/1563) a prime number?
False
Let h(l) = -l**2 - 12*l - 5. Let u be h(-4). Let o = u + -26. Is (2775/10 - o)*2 a prime number?
False
Suppose 0 = 2*c + 10, -c - 76 = -p + 2*c. Let u = p - 51. Suppose 2*f - 1060 = 2*q, u = q + q. Is f prime?
False
Let c = -344438 - -557781. Is c composite?
True
Let a = 45 - 50. Let o be a/(15/(-9)) + (-5 - 4). Is (-2 - 1)*502/o composite?
False
Suppose -15*s + 301 = -194. Suppose -s*d + 57538 = -20*d. Is d a prime number?
False
Let w be 8/(-2)*(-42)/3. Is 934344/126 + (-4)/(w/6) a composite number?
True
Let h = -35 + 39. Suppose 4*k - 17092 = 5*a, k + h*a - 2104 = 2148. Let b = -667 + k. Is b a composite number?
True
Suppose 22*y = 8*y + 840. Is (-18)/4*(-40)/y + 2743 a prime number?
False
Suppose 158973 = 22*d - 6873113 - 14077200. Is d a composite number?
True
Let j(m) = 6*m + 0 + 3 - 4 + 0*m - m**2. Let c be j(5). Suppose -4016 + 436 = -c*n. Is n a prime number?
False
Suppose 5*m + 4*g - 6*g - 7 = 0, 0 = 4*m + g - 3. Is (-1216665)/(-540) - m/12 a composite number?
True
Let p = 44 + 1. Let h be 0 - ((-27)/p + 14/(-10)). Suppose 0 = -3*q + h*q + 217. Is q a composite number?
True
Let y be ((-7)/(105/10))/((-3)/(-10539)). Let n = 3999 + y. Is n a prime number?
True
Suppose 112 = 30*q - 2*q. Suppose q*h = -5*z + 1073, -7*h + 806 = -4*h + 4*z. Is h a prime number?
False
Let b(a) = 272*a**2 + 6*a + 9. Let p be b(8). Let k = -12076 + p. Is k composite?
True
Let j = -5023 + 10901. Suppose -20*u = -19*u - j. Is u a prime number?
False
Is 1817975/45 + 16/(-36) prime?
False
Let m be 245/(-49) + 2518/2. Let v = m + 1279. Is v a prime number?
False
Is 40866 + ((-286)/(-78))/(1/3) prime?
False
Let k = -573851 - -908580. Is k a composite number?
True
Let g = -17 + -21. Let l = -35 - g. Suppose 5*t + 6*p = l*p + 1446, -p = -3*t + 876. Is t prime?
False
Let v(f) = 73*f - 18. Let h be (0 - -6)/((-189)/(-28) + -6). Let y be 7 - 4/h*4. Is v(y) a composite number?
False
Let c be (4 - (-434)/21)/(1/3). Let u = c - 72. Let s(k) = 130*k**2 + 1. Is s(u) prime?
True
Let z(v) = 29*v**2 - 8*v + 20. Suppose -5*h - 32 = -g, -2*h = 5*g + 7 + 22. Is z(h) prime?
False
Let p = -1751288 - -3345607. Is p composite?
True
Suppose 22*p - 45*p + 20155 = -209316. Is p a prime number?
False
Suppose -4*d = d - 10. Suppose 26724 = d*k - 4*j, 2*k = j + j + 26720. Let g = 32059 - k. Is g prime?
True
Let b be (18/(-15))/((-6)/15). Suppose 3*d = 3*j + 48, -69 = -4*d + 2*j - 3*j. Is d/(-5) + b + (-1941)/(-15) a composite number?
True
Let q be (-3)/4*(-9579 - 1). Suppose 0 = 5*n + 3*a - 19, -5*a = n - 4*a - 5. Suppose -n*j = -3*i - 4790, -i + 2*i - q = -3*j. Is j a composite number?
True
Let n(p) be the third derivative of -p**6/8 - 7*p**5/60 + p**4/24 - 46*p**3/3 + 11*p**2 - 4. Is n(-7) prime?
True
Let g = 1208128 - -583489. Is g a prime number?
True
Let x(p) = -8*p + 9. Let c be x(-3). Suppose -c*v + 30*v + 711 = 0. Is v a composite number?
True
Is (-186192)/(-64) + 3/(-12) composite?
False
Is 23789/(7/(-28) - 30/(-24)) prime?
True
Let x(l) = -4998*l + 513. Is x(-37) a composite number?
True
Suppose -9*s + 75 = -159. Is (515645/s)/(2/4) a prime number?
False
Suppose 2*w - 2 = 2. Suppose -4*q = -w*q - 116. Let z = q + 249. Is z a prime number?
True
Let h be 1*(-17)/(68/31640). Let z = h - -14031. Is z composite?
False
Suppose -149*f + 476*f - 8561322 = 12873855. Is f prime?
True
Is 2076874/14 - (-12)/(-10)*(-155)/217 composite?
True
Let a = 288841 + -94784. Is a prime?
True
Let c = -6215 - -9723. Is -2 + c + (-17 - -16) a composite number?
True
Let p = -846090 + 1424179. Is p a composite number?
True
Let i be (18009/(-138))/(1/(-106)). Let k = i + 1718. Is k a prime number?
True
Suppose 2501*p = 2458*p + 23695537. Is p a composite number?
False
Let v be ((-1380416)/(-20))/8 - 2/(-5). Suppose 3*j - v = 5877. Suppose -6*d + j = -d. Is d a composite number?
False
Suppose 14*i = -14*i + 3840310 - 200226. Is i a composite number?
False
Let d be (-3)/2 + (135/6)/15. Suppose d*y + 9378 = 6*y. Is y composite?
True
Suppose 4*d = -4*w + d, -w + 2*d = -11. Suppose -5*j + 4150 = 4*i - 11839, w*i + 3194 = j. Is j a composite number?
True
Let j = 1053326 + -634897. Is j a composite number?
True
Let s(g) = -551*g - 3. Suppose 0 = 2*y - x + 82, -123 = 3*y + 2*x - x. Let z = y - -39. Is s(z) prime?
False
Let u = 97039 - 9246. Is u a composite number?
False
Let u(b) = 201*b**2 + 22*b + 443. Is u(-12) prime?
True
Suppose 5*r - 81200 = 5*k, -3*k - 9833 = -4*r + 55124. Is r a composite number?
True
Suppose 454*b = 467*b - 10293205. Is b a prime number?
False
Let n(g) = 493*g**2 - 116*g - 3971. Is n(-24) a prime number?
False
Is (-3 + 7)/(1511856/(-188988) - -8) prime?
True
Is (-4)/86 - 348703020/(-516) prime?
True
Let y = 28974 + 76631. Is y prime?
False
Let y = -374955 - -799178. Is y a composite number?
False
Let d = -3444 + 766. Let s = -951 - d. Is s a composite number?
True
Suppose 56242308 = -1201*b + 1325*b. Is b prime?
False
Let o(l) = -l**3 - 56*l**2 + 245*l - 67. Is o(-63) a prime number?
True
Let n be 172/(-6)*3/(-2). Suppose n*h - 128868 = 31*h. Is h a composite number?
False
Let c(b) = 27*b**2 - 58*b**2 + 32*b**2 + 7817 + b + b**3. Is c(0) prime?
True
Suppose 1903874 + 25792001 = 125*r. Is r prime?
True
Let w(c) = -15*c - 58. Let t be w(-4). Is (-28)/13 + t - (-5112790)/130 composite?
True
Let h = -766 + 787. Let n(b) = b**3 - 21*b**2 + 40*b - 38. Is n(h) a prime number?
False
Let l be 0 + 1 - (-39 - -17). Let x = 13 - l. Is (-7692)/x - (-1 + (-24)/(-20)) a prime number?
True
Suppose -4*k + 2*k + 3*k = 0. Suppose l - 8937 - 854 = -4*b, k = -3*l - 15. Is b a prime number?
False
Suppose 358 = -4*v - 718. Suppose a - 862 + 46 = -l, -l + 2*a = -810. Let m = v + l. Is m prime?
False
Let b(g) = 104*g**2 + 17*g + 54. Is b(-5) a composite number?
True
Suppose 0 = 3*s - b - 665531, 17*s = 14*s + 3*b + 665535. Is s a composite number?
True
Suppose 17*x + 6161 = -11910. Let q = x - -1802. Is q prime?
True
Let q(i) = 105015*i**2 + 28*i. Is q(-1) a prime number?
True
Suppose o - 6*o = 5*b + 20, b - 2 = -3*o. Is (-6 - (b + 1)) + (-7085)/(-5) prime?
False
Let u = -30998 - -52137. Is u prime?
True
Suppose 4*j = j + 5*x + 8130, 0 = 5*x. Let f = j + -1269. Is f composite?
True
Let b = -20 - -23. Let j(i) = -42*i**2 + 172*i**2 - 5 + 3*i + 26*i**2 + b. Is j(-3) a composite number?
True
Suppose -4*c = -5*z - 12652, 30*c + 3*z - 12620 = 26*c. Is c a prime number?
False
Suppose -13*y - 30807 = -16*y. Suppose -4*d = -4*n + 23324, 5*n + 4*d = 18904 + y. Is n a composite number?
True
Let g be -267*(1/(-3) + (-6 - -6)). Let c = -89 + g. Suppose -4*l + 2*l - 4*y + 622 = 0, -4*l - 2*y + 1262 = c. Is l a prime number?
True
Suppose 2*s = 4*i - 28, 7 = 5*i - 4*i + 3*s. Suppose 0 = -i*z - 26840 + 93571. Is z a composite number?
False
Suppose -38*r - 553106 = -40*r - 4*u, -553088 = -2*r + 2*u. Is r prime?
False
Suppose -7*k + 37200 = -10*k - 5*c, -12 = -4*c. Let y = -6796 - k. Is y composite?
True
Let a = -18702 - -11866. Let o = -4093 - a. Is o a composite number?
True
Let x(n) = -18*n - 26. Let q be x(-3). Suppose -93214 = -10*a - q*a. Is a composite?
True
Let v(o)
|
{
"pile_set_name": "DM Mathematics"
}
|
*y**2 - 36*y**2 + 30.
-4*y**2 + 31
Collect the terms in 7*c**3 + 4*c**3 - 6*c**3.
5*c**3
Collect the terms in -2*f - 12*f + 3*f.
-11*f
Collect the terms in 53*x - 35*x - 29*x.
-11*x
Collect the terms in -40 + 19 - 5*l + 21.
-5*l
Collect the terms in -78*l + 156*l - 76*l.
2*l
Collect the terms in -5*v**3 + v**3 - 7*v**3 + 9*v**3.
-2*v**3
Collect the terms in -25*s**2 + 42*s**2 - 26*s**2.
-9*s**2
Collect the terms in -34*u**3 - 47*u**3 + u**3.
-80*u**3
Collect the terms in -1 + 1 + 29*k - 37*k.
-8*k
Collect the terms in -2*r**2 + 94 + 81 - 195.
-2*r**2 - 20
Collect the terms in -5*o**2 + 2*o**2 + 6*o**2 + 0*o**2.
3*o**2
Collect the terms in 4*u - u + 8*u - 11*u + 4*u.
4*u
Collect the terms in -14*v - 4*v + 7*v + 3*v.
-8*v
Collect the terms in 3*m**3 + 1479*m - 1479*m.
3*m**3
Collect the terms in -2139*x**2 + 1068*x**2 + 1067*x**2.
-4*x**2
Collect the terms in 0*h**2 - 8716 + 8716 + 2*h**2.
2*h**2
Collect the terms in -m - 8 + 1 + 8 - 1.
-m
Collect the terms in 41*z**2 - 30*z**2 + 28*z**2 + 19*z**2.
58*z**2
Collect the terms in 70*n + 5*n**2 - 70*n + 6.
5*n**2 + 6
Collect the terms in -255*u**3 - 6 + 258*u**3 + 6.
3*u**3
Collect the terms in -12*r**2 - 12751*r + 12751*r.
-12*r**2
Collect the terms in -1 + 3579*n + 1.
3579*n
Collect the terms in -6*d**2 - 74 + 74 - 6*d**2.
-12*d**2
Collect the terms in 112*g**3 + 461*g**3 + 201*g**3 - 3*g**2.
774*g**3 - 3*g**2
Collect the terms in -m + 12*m**2 - 28*m**2 + m.
-16*m**2
Collect the terms in -3*p**2 + 4*p**3 + 7*p**3 - 6*p**3.
5*p**3 - 3*p**2
Collect the terms in 2*g - 4 + 5 + g + 1.
3*g + 2
Collect the terms in 32*r - r - 26*r - 3*r.
2*r
Collect the terms in 113 - 113 + k**2.
k**2
Collect the terms in 3 + 1 + 2*a**2 + 2*a**2 + 0*a**2.
4*a**2 + 4
Collect the terms in 86*z - 168*z + 82*z + 18*z**2.
18*z**2
Collect the terms in 11*g**3 - 236*g**3 - 153*g**3 + 68*g**3.
-310*g**3
Collect the terms in -y**2 + y**2 + 399*y**3.
399*y**3
Collect the terms in -6*x + 4*x + 88 - 88.
-2*x
Collect the terms in -311*m + m**2 - 5*m**2 + 2*m**2.
-2*m**2 - 311*m
Collect the terms in 2*i - 2*i + 6*i**2 + 0*i**2.
6*i**2
Collect the terms in -96*g**2 + 2*g + 19*g**2 - 9*g**2.
-86*g**2 + 2*g
Collect the terms in 2808*v**3 + 2804*v**3 - 5617*v**3.
-5*v**3
Collect the terms in 421*o + 470*o + 377*o.
1268*o
Collect the terms in -11*m**3 - 48*m**2 - 3*m**3 + 48*m**2.
-14*m**3
Collect the terms in 594*z + 592*z - 2*z**2 - 1186*z.
-2*z**2
Collect the terms in -34673*g**3 + 69345*g**3 - 34674*g**3.
-2*g**3
Collect the terms in 2708 - 2708 - j**2.
-j**2
Collect the terms in 7*l**2 + 15*l**2 - 13*l**2 + 20*l**2.
29*l**2
Collect the terms in 55 + 6*t**2 - 9 - 2*t**2.
4*t**2 + 46
Collect the terms in -10*w + 2 - 1 + 13*w.
3*w + 1
Collect the terms in -r - 18 + 6*r + r - 2*r.
4*r - 18
Collect the terms in -11*v + 4 - 4 - 3.
-11*v - 3
Collect the terms in -3*j**3 - 5054*j + 5054*j.
-3*j**3
Collect the terms in -j**3 - 18*j - 17*j - 35*j.
-j**3 - 70*j
Collect the terms in 252 - 11*t - 252.
-11*t
Collect the terms in 55*p + 103*p - 3 + 4 + 15*p.
173*p + 1
Collect the terms in -92*g**2 + 65*g**2 - 127*g**2.
-154*g**2
Collect the terms in j**2 - j**2 - 1029*j + 1029*j - 3*j**3.
-3*j**3
Collect the terms in -5*b + 5*b + 213*b**3 - 211*b**3.
2*b**3
Collect the terms in 16*z**3 + 3*z**2 - 12*z**2 - 17*z**3 + 9*z**2.
-z**3
Collect the terms in -26*u - 2 + 2 - 29*u.
-55*u
Collect the terms in 19*w**3 - 7*w**2 + 11*w**2 - 4*w**2 - 1.
19*w**3 - 1
Collect the terms in -t + 6767*t**2 + t - 6760*t**2.
7*t**2
Collect the terms in 0 - 18*r - 196*r + 0.
-214*r
Collect the terms in -2*g**2 - 4*g**2 + 11*g**2.
5*g**2
Collect the terms in -35 + 35 + 89*f**2.
89*f**2
Collect the terms in 75*p**2 + 75*p**2 - 224*p**2 + 76*p**2.
2*p**2
Collect the terms in 19*b**2 - 7*b**2 - 5*b**2.
7*b**2
Collect the terms in -2*u**2 - 12 + 39*u**3 + 12.
39*u**3 - 2*u**2
Collect the terms in -433*p**3 + 429*p**3 - p + p.
-4*p**3
Collect the terms in -49*o**2 + 94*o**2 - 45*o**2 + 64*o**3.
64*o**3
Collect the terms in -17*x**2 - 6*x**2 + 117*x**2.
94*x**2
Collect the terms in -3*z**3 + 0*z**3 - 59*z**2 + 59*z**2.
-3*z**3
Collect the terms in 3 - 17 - 15*u**2 + 14.
-15*u**2
Collect the terms in 298*u + 298*u - 596*u - 8*u**2.
-8*u**2
Collect the terms in -8*p + 6882 - 6882.
-8*p
Collect the terms in 233*d**2 + 57*d**2 + 174*d**2.
464*d**2
Collect the terms in -4*b + 3*b + 3 + 0*b.
-b + 3
Collect the terms in 6*n + 3*n**2 + 13*n - 19*n.
3*n**2
Collect the terms in 19*m**2 + 16*m**2 + 18*m**2.
53*m**2
Collect the terms in -2*w**3 + 87 - 327 + 240.
-2*w**3
Collect the terms in 2*m + 8478 - 8478.
2*m
Collect the terms in 6 + 1291*y - 5 - 1.
1291*y
Collect the terms in -3*f**2 + 6*f**2 - 5*f**2.
-2*f**2
Collect the terms in -3873*d**3 + 3877*d**3 - 2*d**2 + 12*d**2 + 0*d**2.
4*d**3 + 10*d**2
Collect the terms in -2 + 47290*v**2 + 2 - 47291*v**2.
-v**2
Collect the terms in -2*l**2 - 18*l**2 + 8*l**2 - 5*l**2 + 2*l**2.
-15*l**2
Collect the terms in -35 + 20*g + 60 - 28.
20*g - 3
Collect the terms in -8*m + 20*m - 29*m.
-17*m
Collect the terms in -8*t**2 + t**2 + 2*t**2 + 9*t**2 + 0*t**2.
4*t**2
Collect the terms in -32*n**2 - 24*n**2 + 62*n**2.
6*n**2
Collect the terms in 3*v**2 + 95 - 3*v + 3*v - 86.
3*v**2 + 9
Collect the terms in 24*u**2 - 2*u + 8*u - u.
24*u**2 + 5*u
Collect the terms in -131018 + 131018 - 3*i.
-3*i
Collect the terms in -13*z**3 + 5*z**3 + 5*z**3.
-3*z**3
Collect the terms in 22*n**3 + 128*n - 128*n - 7*n**3.
15*n**3
Collect the terms in -59*p**2 - 16*p**2 + 72*p**2.
-3*p**2
Collect the terms in -18*l - 10 + 33*l + 10.
15*l
Collect the terms in 29*b - 13*b - 13*b.
3*b
Collect the terms in 274*v**2 + 269*v**2 - 547*v**2.
-4*v**2
Collect the terms in -16*q - 9 + 6 + 3.
-16*q
Collect the terms in -9888*l + 732*l + 836*l.
-8320*l
Collect the terms in -5*g**3 + 12*g**3 + 19*g**3 - 3*g**3.
23*g**3
Collect the terms in 10199*n - 10199*n - 11*n**2.
-11*n**2
Collect the terms in -170*x**2 - 2 + 3*x + x - 4*x.
-170*x**2 - 2
Collect the terms in -63*u**3 + 125*u**3 - 58*u**3.
4*u**3
Collect the terms in -143*l**2 + 256*l**2 + 283*l**2.
396*l**2
Collect the terms in -8*g**2 + 7*g**2 + 34*g**3 + g**2.
34*g**3
Collect the terms in 47*l - 8 + 0*l - 42*l + 8.
5*l
Collect the terms in o**2 + 6*o - 5*o**2 + 3*o - 11*o.
-4*o**2 - 2*o
Collect the terms in -967*i**2 + 1936*i**2 - 971*i**2.
-2*i**2
Collect the terms in -24 - 291*d + 142*d + 148*d.
-d - 24
Collect the terms in -3 - 5 - 4 + 6*l.
6*l - 12
Collect the terms in 17487*o + 3*o**2 - 17487*o - o**2.
2*o**2
Collect the terms in -p - 1029 + 0*p + 1029 + 3*p.
2*p
Collect the terms in -4*n**2 - 6*n**2 + 3*n**2.
-7*n**2
Collect the terms in 3*g - 3*g + g**2 - 2*g**2.
-g**2
Collect the terms in 0*r**3 - r**3 + 144 - 144 - 23*r.
-r**3 - 23*r
Collect the terms in 3*h + 11 - 75 - 55 - 48.
3*h - 167
Collect the terms in -3*l**2 + 16*l**2 - l**2 - 8*l**2.
4*l**2
Collect the terms in -54*b**3 + 25*b**3 + 27*b**3.
-2*b**3
Collect the terms in 4*v**2 + 5*v**2 - 23*v**2 + 12*v**2.
-2*v**2
Collect the terms in -6*k**2 - 4*k**2 + k**2.
-9*k**2
Collect the terms in 167*k + 164*k - 331*k - 2*k**2.
-2*k**2
Collect the terms in -28 + 33 - 5 + 24*p.
24*p
Collect the terms in -166 - 166 - 6*j + 332.
-6*j
Collect the terms in 68*k**3 - 13*k**3 - 16*k**3 - 15*k**3 - 14*k**3.
10*k**3
Collect the terms in 5 - 2*z + z + 1.
-z + 6
Collect the terms in 814*h - 406*h - 408*h + h**2.
h**2
Collect the terms in -12*k**3 + 72*k**3 + 54*k**3.
114*k**3
Collect the terms in y + 8*y - 14*y + 28*y.
23*y
Collect the terms in 6 + 6*g**3 + 3*g**3 - 6.
9*g**3
Collect the terms in 5*l + 7*l + 7*l - 8*l.
11*l
Collect the terms in -110*w - 115*w + 224*w.
-w
Collect the terms in -266*j**2 + 266*j**2 + 24*j**3.
24*j**3
Collect the terms in 80 - 80 - 4*z.
-4*z
Collect the terms in -3*a**2 + 5*a**2 - 39 + 234.
2*a**2 + 195
Collect the terms in 16 - 23 + 8*d + 7.
8*d
Collect the terms in -12179*c + 12179*c - 14*c**2.
-14*c**2
Collect the terms in 69*o**2 - 33*o**2 - 31*o**2.
5*o**2
Collect the terms in -44 + 6*u + 44.
6*u
Collect the terms in -18201*l**3 + 36396*l**3 - 18199*l**3.
-4*l**3
Collect the terms in -7*r - 42*r + 43*r.
-6*r
Collect the terms in -2*i**2 - 15*i - 28*i + 43*i + 3.
-2*i**2 + 3
Collect the terms in -9*t + 33*t - 12*t - 12*t - 7*t**3.
-7*t**3
Collect
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Let i = w - 29. What is i rounded to three decimal places?
-0.009
Let q be ((-9640)/32 - -20)*519360/(-1). Round q to the nearest one million.
146000000
Let c = -2.5 + 1.71. Let a = c + 0.03. Round a to one decimal place.
-0.8
Let l(y) = -y**2 - 9*y - 6. Let m be l(-8). Suppose -m*k + 1634 = -766. Let z be k/(194006/48500 - 4). Round z to the nearest one million.
10000000
Let g = -351 + -935. Suppose 550 = -3*y - 4*l, -2*y + l + 556 = -5*y. Let w = g - y. What is w rounded to the nearest one thousand?
-1000
Suppose 0 = 3*x - 4*c + 5134, -3*x - 5179 = 31*c - 26*c. Round x to the nearest 10.
-1720
Let o = 3.8 - 9. Let h = 8.5 + o. What is h rounded to the nearest integer?
3
Let q = -76 + 55. Let o be (-10)/(-35) + (1476/q - -3). Round o to the nearest 10.
-70
Let g = 31.77057597 - -0.22942603. Let s = -32 + g. Round s to 6 decimal places.
0.000002
Let x = 1.978 - 1.995856. What is x rounded to 4 dps?
-0.0179
Let n = -4.8 + -14.2. Let h = -18.97 - n. Let s = -0.0294 + h. Round s to four decimal places.
0.0006
Suppose 15022353 = 20*b - 1177647. Round b to the nearest one million.
1000000
Let b = -1574 + 1573.6777. What is b rounded to one dp?
-0.3
Let u = 402 - 402.0313. Round u to two dps.
-0.03
Let j = 14492.9936 + -14505. Let n = -1.8 - 10.2. Let x = n - j. What is x rounded to three dps?
0.006
Let b = -3 + 7. Let t = b - 0. Suppose -t*x = -6*x - 314. What is x rounded to the nearest ten?
-160
Suppose 4*q + 7 = -1. Let h be 0*3/6 - q. Let j(z) = 74*z**3 + 2*z**2 - 2*z + 4. Let t be j(h). Round t to the nearest one hundred.
600
Let p(q) = q - 1. Let k be p(4). Suppose -k*i - 37007 - 13408 = -2*n, -n + 2*i + 25210 = 0. Round n to the nearest one thousand.
25000
Let b be ((-4500)/(-42))/(5/(-251860)). What is b rounded to the nearest one hundred thousand?
-5400000
Let v = 527.196 + 0.804. Let l = -573.9 + v. What is l rounded to the nearest ten?
-50
Let y = -33.976 - -36. Let w = -2 + y. Let i = w + 0.206. Round i to 1 decimal place.
0.2
Let f(a) = a**2 - 10*a - 6. Let p be f(11). Suppose i - x = 2*x + 4791, -4815 = -i - p*x. What is i rounded to the nearest 10000?
0
Let m = 0.151 + -171.151. Let l = 171.0000218 + m. What is l rounded to six decimal places?
0.000022
Let o(t) = 658018*t - 3. Let b be o(2). Suppose -5*f - b - 7883967 = 0. What is f rounded to the nearest one hundred thousand?
-1800000
Let u be ((-4)/(-10))/(8/(-280)). Let o be (-2)/(-1) - 1862/u. Round o to the nearest ten.
140
Let x = -353130631819193.1000021 - -353130488398431.1. Let m = x + 143420749. Let z = m - -13. What is z rounded to six dps?
-0.000002
Let q = -5644981 + 5644980.5210291. Let t = 0.479 + q. Round t to five decimal places.
0.00003
Let w = -387935.9831 - -388123. Let b = 187 - w. Round b to 3 decimal places.
-0.017
Suppose 531699 = 3*v - 3*o, -4*v - 708959 = -8*v - 5*o. Let m = -62861 + v. Let x be 4*80*m/(-6). Round x to the nearest 1000000.
-6000000
Let c(f) = -1103*f + 43. Suppose 0 = 6*b - 11*b - 95. Let j be c(b). What is j rounded to the nearest 10000?
20000
Let w = -42 - -41.575. Let u = 0.174 + w. Let l = 0.24 + u. What is l rounded to two dps?
-0.01
Let u(a) = -a + 3. Let l be u(5). Suppose 0*p - 6 = -2*p + 2*g, -5*g + 25 = 0. Let v be (-3)/12 - l/p. What is v rounded to one dp?
0
Let l = 625.73 - 622. Let c = l - 0.67. Let z = c + -0.26. Round z to the nearest integer.
3
Let s = 12.26 + -12.2. Let c = 0.23 - s. What is c rounded to one decimal place?
0.2
Let d = 327.08 - 328.4657. What is d rounded to two dps?
-1.39
Let a = 7869 + -7869.00004341. What is a rounded to 6 decimal places?
-0.000043
Let n = -462708314714858 + 462708292345627.7999953. Let t = 22369220.5 + n. Let m = t + 9.7. What is m rounded to six decimal places?
-0.000005
Let d(k) = -184499*k**3 - 2*k**2 - k + 2. Let g be d(2). What is g rounded to the nearest ten thousand?
-1480000
Let h = 0.03 + 0.7805. What is h rounded to 2 dps?
0.81
Let w = -25388 + 12088. Round w to the nearest one thousand.
-13000
Let b = 450.0685 - 450. Round b to two dps.
0.07
Let u = -4022.9994391 + 4023. Round u to 5 dps.
0.00056
Let a = 15 - 16.7. Let l = 1.672 + a. Let s = l + 0.0279954. Round s to 6 decimal places.
-0.000005
Let c be 163099972/70 - (7/(-5) + 1). What is c rounded to the nearest 100000?
2300000
Suppose 138883844 = -p - 3*p - 5*m, m - 104162883 = 3*p. Let i = p - 28079039. What is i rounded to the nearest 1000000?
-63000000
Let b(s) = s**3 - 3*s**2 - 7*s + 7. Let l be b(4). Let p be 22738099 + l/((-15)/(-9)). Suppose p + 43261904 = 6*g. What is g rounded to the nearest one million?
11000000
Let o = -4.1 - -23.1. Let k = -19.00000345 + o. What is k rounded to 6 decimal places?
-0.000003
Let m = 0.95696 - 0.938. Round m to three dps.
0.019
Let a = 1.917 + -2.03. Let y = a - 2.607. Let v = y - -0.22. What is v rounded to the nearest integer?
-3
Let n(a) = 722*a**2 - 9*a - 5. Let c be n(5). Round c to the nearest one thousand.
18000
Let s = -1309.00000433 - -1309. What is s rounded to six dps?
-0.000004
Let k(a) = 98844*a**2 - 6*a - 6. Let z be k(7). Let x = -8163308 + z. Round x to the nearest one hundred thousand.
-3300000
Let o = 39.9 - 31.54. Round o to 1 dp.
8.4
Let r = 1.054 + -0.479. What is r rounded to 1 decimal place?
0.6
Suppose -1 = -4*z + 3*z, 4*v = 3*z + 4629. Suppose 8*a - 3050 = v. Round a to the nearest 100.
500
Let q = -139.00000035 - -139. Round q to 7 dps.
-0.0000004
Let m = -341.79 - -344. Let d = 1.944 - m. Round d to 2 decimal places.
-0.27
Suppose 2*r - 1196 = 62. Suppose -2*w = 5*p - 673 - 334, p = -4*w + 205. Let b = r + p. Round b to the nearest one hundred.
800
Let o = 2424 + -2424.1027. Round o to two decimal places.
-0.1
Let a = -95 + 103.26. Round a to 0 decimal places.
8
Let h be (136/(-56) - (-3)/7)*-5061000. Round h to the nearest 100000.
10100000
Let p = 0.15 + -0.1. Let x = 200 - 200.08. Let w = x - p. Round w to 1 dp.
-0.1
Let k = 223 - 148. Let c = 75.000041 - k. What is c rounded to six decimal places?
0.000041
Suppose 144000000 = -2*k - 2*k + 5*h, -2*h = 0. What is k rounded to the nearest 1000000?
-36000000
Let p = 0.056 + 0.033. Let d = p + -0.088963. What is d rounded to 5 decimal places?
0.00004
Let g = -3079 - -3089.304. Round g to one decimal place.
10.3
Let c be (-791976)/(-10 - -7) - (-1 - 7). What is c rounded to the nearest ten thousand?
260000
Let g(u) = 8*u - 5. Let l be g(1). Suppose -v - 10000005 = -5*j, 0*j - 2*j + l*v + 4000015 = 0. Round j to the nearest one million.
2000000
Let p = 0.01418 + 22240.98582. Let n = p + -22244.2026. Let w = 3.2 + n. What is w rounded to three dps?
-0.003
Let o(h) = 46*h + 12. Let l be o(3). Let v be (32*-4)/(3/l). Round v to the nearest 1000.
-6000
Suppose 0 = -f - 2*t - 26679990, -36*t + 40*t - 20 = 0. Round f to the nearest one hundred thousand.
-26700000
Let t = -0.88777239 - -0.8877. Round t to 5 decimal places.
-0.00007
Let v = 0.2538 + -0.24155. Round v to 3 dps.
0.012
Let z = -1122.5 + 1174. What is z rounded to the nearest 10?
50
Let k = 0.762 - 0.762638. Round k to five decimal places.
-0.00064
Let t = 372.62 + -377. What is t rounded to one decimal place?
-4.4
Let t be (-1 + -1 - -2)/(-1). Let s be -38*(t/2 + 100). What is s rounded to the nearest one thousand?
-4000
Let n = -1836144803 + 1053152959. Let b = n - -782991860.00000004. Let w = -16 + b. What is w rounded to seven decimal places?
0
Let j be (-2 + (-32)/(-20))*-20. Let o = -8 + j. Suppose k + k - 54800 = o. Round k to the nearest one thousand.
27000
Let v = -0.065 + 0.1. Let m = v + 4.565. Let t = -4 + m. Round t to the nearest integer.
1
Let m = -151.04443695 - 0.37847305. Let p = m - -151.35290943. Let a = p + 0.07. Round a to seven dps.
-0.0000006
Let c = -260.2 + 260.5169. Round c to two dps.
0.32
Suppose -4*a = 77562 + 96038. What is a rounded to the nearest 10000?
-40000
Suppose 449 = 10*r - 3221. What is r rounded to the nearest 10?
370
Suppose -4*v = -8 - 8. Suppose 3*x + 4*a = 14, 5*x - a - 5 = -v*a. Let q be -1019 + (x/(-2) - 2). What is q rounded to the nearest one hundred?
-1000
Let n = 1.67 + -1.836. Let x = n + 0.21. Round x to 2 dps.
0.04
Let b = -312.91 + 290. Round b to the nearest integer.
-23
Let w = -223 - 999. Let d = -1221.999489 - w. What is d rounded to 5 decimal places?
0.00051
Let v(i) = -i**3 + 7*i**2 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
is the third smallest value? (a) -3 (b) -0.4 (c) n
c
Let t = 4 - 7. Let w be ((-15)/9)/(2/t). Let n = 2.01 + -0.01. What is the smallest value in n, w, 4?
n
Let i be 6/20*35/42. Let v = -5 - -5.6. Let z = -0.5 + v. What is the second smallest value in i, -4, z?
z
Let u = -5615/11 + 511. Which is the second biggest value? (a) 4 (b) u (c) 1
c
Let z = -1171 - -1165.97. Let i = -0.03 - z. What is the smallest value in i, -2, -0.4?
-2
Let b = 112 - 108. Let m = -0.2 - 0. What is the smallest value in -3, b, m?
-3
Let x = -116.6 + 117. What is the third biggest value in -1/23, -0.5, x?
-0.5
Suppose 2*g = 3*g. Which is the biggest value? (a) g (b) 2 (c) -0.5
b
Let y = 3.7 + -4. Let m = 128 + -124. What is the second biggest value in m, y, -0.5?
y
Let d = -157.95 - -162. Let x = -0.05 + d. Let l = -30.2 - -30. What is the smallest value in l, 3, x?
l
Let a = 54 - 52. What is the third smallest value in -4, a, -3?
a
Suppose 5*g + 8 = 4*p, -2*p + 1 = -g - p. Let l be (g/30)/(1/(-5)). Which is the third smallest value? (a) 2 (b) l (c) 4
c
Let l = 16 - 6.5. Let d = 10 - l. Which is the third biggest value? (a) 0.3 (b) d (c) -2
c
Let g = 49 - 54. Which is the second smallest value? (a) g (b) 4/5 (c) 3
b
Let g = 15 + -11. Suppose 2*p - 16 = g*x, 6*x + 24 = 4*p + 2*x. Let u = 1 + p. What is the second smallest value in -0.3, -0.5, u?
-0.3
Let p = 196/3 + -65. Let d be (-23)/(-28) + 3/(-12). Let o = -0.36 - 0.04. What is the biggest value in o, p, d?
d
Let j = 0.24 - 2.24. What is the biggest value in j, 4, -5/3?
4
Suppose h - 5 = r, -h + 17 = -5*r - 4. What is the smallest value in 1, 3, 0.4, r?
r
Let w = -5 + 7. Let f = -1 + w. What is the smallest value in 0.1, 2/11, f?
0.1
Let a = -11 - -8. Let f = -4 + 8. Let j = 4/41 - 61/205. What is the biggest value in a, j, f?
f
Let a be (-80)/(-36) - 4/18. What is the smallest value in -5, a, 3?
-5
Let n = 1.2 - 1.6. Which is the biggest value? (a) -3 (b) 1/4 (c) n
b
Let t = -590/7 + 84. Let z = -13 + 11. What is the second smallest value in t, z, -1/5?
t
Let u = 140 - 145. What is the second biggest value in u, 2, -2?
-2
Let k = -4 + 6. Let a(r) = r**2 - r - 20. Let g be a(0). Let h be (-3)/2*g/45. What is the second smallest value in h, 0, k?
h
Let q be (-8)/10*(-10)/4. Let f be 42/15 + -1 + -1. Which is the smallest value? (a) q (b) 1/8 (c) f
b
Let m = -15.8 + 18.8. Let v be -2 - 8/22*-5. Let o = -51 - -359/7. What is the biggest value in o, v, m?
m
Let g = -13 - -11. What is the biggest value in g, 0.1, 0.3?
0.3
Suppose 5*l - 3*y + 405 = 0, 0 = -2*l + 4*y - 54 - 108. Let x = l - -727/9. Which is the third smallest value? (a) -1 (b) x (c) -5
b
Let g = -9/7 + 31/35. What is the smallest value in 5, -0.06, g?
g
Let o = -64.17 + 67.2. Let p = 0.03 - o. Suppose 1 = -t - 3. Which is the third smallest value? (a) 0.2 (b) p (c) t
a
Let z be (1 - 1)/((-12)/12). Which is the smallest value? (a) z (b) -2 (c) -3
c
Let r = 299/6 + -50. What is the biggest value in r, 4, -3?
4
Let x be (5/(-3))/(4 - 3). What is the biggest value in x, -0.7, 0.4?
0.4
Let s = -18 - -37/2. Which is the biggest value? (a) s (b) 0.2 (c) 0.02
a
Let x be 20/6 - (-5)/(-15). Let r = -1.8 + 1.85. What is the third smallest value in 0, r, x?
x
Let u = 7 - 3. What is the second biggest value in u, 1, -1/10?
1
Let k be (6/(-15))/(12/20 + 0). Which is the biggest value? (a) k (b) -5 (c) 0 (d) 5
d
Let d(i) = -i**3 - i**2 + i + 10. Let c be d(0). Let g = c + -12. What is the second smallest value in g, -3, 0?
g
Let t = 47/852 - -2/71. What is the second smallest value in 0.1, -2, t?
t
Let q = -6 + 5.6. Let f = 0.7 + q. What is the second smallest value in 0.1, f, 0.5?
f
Suppose i + 6 = -i. Let t be (5/20)/(i/10). Which is the third smallest value? (a) t (b) -1/5 (c) 5
c
Let w be 8/12 - 4/(-3). Which is the second biggest value? (a) w (b) 5 (c) -2/9 (d) -6
a
Let k be ((-2)/(-24))/((30/(-16))/5). Let m = 0.29 + 0.01. Which is the second biggest value? (a) -0.3 (b) k (c) m
b
Let g = 6 + -16. What is the third biggest value in 2/11, -5, g?
g
Let v = 18 + -17.6. Which is the smallest value? (a) v (b) 1 (c) -3/2
c
Let x be 1/((22/(-168))/11). Let t be 44/(-105) + (-24)/x. Let w be (25/6)/(-5) - -1. What is the smallest value in t, -0.2, w?
-0.2
Let v be 2/8 + 9/(-4). Let l = -25.8 - -26.8. What is the third biggest value in -0.2, v, l?
v
Let b = -79 - -79.4. Let o = 0 - 0.1. Let f = o - 2.9. What is the third biggest value in f, b, 1?
f
Let c = -1.7 - -11.7. What is the smallest value in -0.2, 0.3, c?
-0.2
Let u = 0.8 - 1. Let t = -6.3 - -4.2. Let z = t + -0.9. What is the third smallest value in u, z, 0.4?
0.4
Let d be 0 + 9/(-21)*353. Let s = d + 151. Which is the second smallest value? (a) s (b) -0.5 (c) 0.5
a
Let f be -4*(-4)/16 - -3. Let w(b) = b**2 - 2. Let k be w(2). Suppose -k*s = s. What is the second biggest value in 1, f, s?
1
Let o be (-2 - (-11)/4)/(-3). What is the second biggest value in o, 2/9, -2?
o
Let f = 0.26 - -0.74. Let j = 1.9 - f. Which is the second biggest value? (a) 1/3 (b) 4 (c) j
c
Suppose -4 = 2*o, -u - 3*o - 7 = -2*o. Let s = -6.7 - -7. Let k = 0.3 - s. Which is the smallest value? (a) -0.2 (b) k (c) u
c
Let p = -3.5 + 1.5. Let t = p - -2.4. What is the third smallest value in t, 2, -5/2?
2
Let x = 365/602 + -3/86. Which is the biggest value? (a) -2/7 (b) 0.3 (c) x
c
Let o be -2 + (36/8)/9. Let i be 2/(-1) + (-13)/(-5). Which is the second biggest value? (a) i (b) -0.5 (c) o
b
Let j = 0.337 - -0.063. Let o = 0.5 - 0. What is the second smallest value in o, 3, j?
o
Let o(q) = -q**2 + 4*q + 4. Let l be o(5). Let p = 28/15 + -61/30. What is the smallest value in -5, p, l?
-5
Let m = 4 + -6. Let y = 3.6 - -0.4. Which is the smallest value? (a) y (b) -4 (c) m
b
Let o be 3*4/4 - (8 - 1). Which is the second smallest value? (a) 0.04 (b) 1 (c) o
a
Let g be ((-22)/(-36))/11*4. What is the third smallest value in g, 1, -1/11?
1
Let v be (((-231)/(-72))/(-7))/1. Let g = v - 1/24. Which is the smallest value? (a) -3/5 (b) 1/5 (c) g
a
Let d = 0 + -2. Let i = -3 - -5. Let y = -2.4 + i. Which is the third biggest value? (a) -1 (b) y (c) d
c
Let r = 5.07 + -0.07. Which is the third smallest value? (a) 0.4 (b) r (c) 2
b
Let i be (-7)/(-2) - (20/5 - 0). What is the smallest value in 0.46, i, -1/3, 4/5?
i
Let r = 25 - 40. Let a = -11 - r. What is the third smallest value in a, -4, 0.3?
a
Let v(w) = -w**3 + 4*w**2 - 4*w - 1. Let l be v(3). Let b = -0.02 + 0.04. Let j = b - -4.98. What is the biggest value in j, -0.3, l?
j
Let q(g) = -g**3 + 13*g**2 - 2. Let o be q(13). What is the third biggest value in o, 2, -4?
-4
Let g = -0.02 + 0.07. Let f = g - 0.08. Let i = 0.27 - f. Which is the smallest value? (a) i (b) 2 (c) -0.2
c
Let x = -2/199 + -187/1194. Which is the second smallest value? (a) -3 (b) x (c) -1/5
c
Let d = -0.5 - 2.5. Let r be (-2 - 15/(-6))*2. Which is the third biggest value? (a) 2 (b) d (c) r
b
Let m = 0.177 - 0.177. What is the fourth biggest value in 2/19, -2, 0.5, m?
-2
Let u = 237/4 - 60. What is the biggest value in 0.5, 3, -0.4, u?
3
Let k = 0 + 0.1. What is the second smallest value in k, 0.4, 2/7?
2/7
Let d = -4.95 - -5. Let u = d + 0.15. Which is the biggest value? (a) -0.03 (b) u (c) 0.1
b
Let o = -2.3 - 6.7. Let w = o - -9.8. Let h = -3.8 + w. What is the biggest value in 0.1, -5, h?
0.1
Suppose 27*o = 26*o - 5. Which is the third smallest value? (a) 65 (b) 4 (c) o
a
Let h = -12.3 + 12. Let i = 2/89 - 97/356. Which is the smallest value? (a) 0.2 (b) h (c) i
b
Let w be (-1)/(-3) - 33/45. Let q = 0.2 - 0.3. Let z = -4.1 - q. Which is the second smallest value? (a) -2 (b) w (c) z
a
Let i = -6 - -6.05. Let m = i - -0.35. Which is the third smallest value? (a) 2 (b) 1/4 (c) m
a
Let v be 14/(-18) + 8/(-24). Which is the second biggest value? (a) -1 (b) v (c) 0.5
a
Let j = 13 + -13. Which is the biggest value? (a) j (b) 0.3 (c) -3
b
Let f = 0 + 4. Let k = 0 - -0.01. What is the third biggest value in f, k, -3?
-3
Suppose 4 + 0 = -2*z. Let n = -2.77 - 0.23. What is the third biggest value in 3/7, z, n?
n
Let m = -8 + 7.7. Let y = 950 - 945. Which is the smallest value? (a) y (b) m (c) 6
b
Let p = 2.7 + -0.2. Let o =
|
{
"pile_set_name": "DM Mathematics"
}
|
678
What is the next term in -35, 36, 163, 352, 609, 940, 1351, 1848?
2437
What comes next: -1349, -5519, -12503, -22295, -34889?
-50279
What comes next: -922, -955, -988, -1021, -1054?
-1087
What is the next term in 975, 1914, 2845, 3768?
4683
What is the next term in -1435, -1447, -1455, -1459, -1459, -1455, -1447?
-1435
What is next in 658, 2419, 5290, 9271?
14362
What is next in 3253, 13062, 29411, 52300?
81729
What comes next: -813, -749, -685, -621, -557?
-493
What comes next: -640, -1972, -3294, -4606, -5908, -7200, -8482?
-9754
What is next in 21687, 86742, 195167, 346962, 542127, 780662, 1062567?
1387842
What comes next: -28800, -28802, -28804, -28806, -28808, -28810?
-28812
What is the next term in -91643, -366564, -824761, -1466228, -2290959, -3298948?
-4490189
What is the next term in -797, -1631, -2465, -3299, -4133?
-4967
What comes next: -3055, -6122, -9213, -12340, -15515?
-18750
What is the next term in 6190, 5674, 5156, 4636, 4114?
3590
What is next in 50, 78, 94, 98, 90?
70
What is next in 16238, 32480, 48708, 64916, 81098?
97248
What is the next term in -5284, -10598, -15944, -21328, -26756, -32234, -37768, -43364?
-49028
What is next in 1738, 1767, 1796, 1825, 1854?
1883
What is the next term in 60511, 60491, 60473, 60457, 60443, 60431?
60421
What is next in 161, 546, 1187, 2084, 3237, 4646?
6311
What is the next term in 587, 2111, 4585, 7955, 12167, 17167?
22901
What is the next term in -753, -2025, -3817, -6129, -8961?
-12313
What is the next term in 722, 987, 1246, 1499?
1746
What comes next: -55247, -55236, -55225?
-55214
What is the next term in -2638, -2636, -2648, -2680, -2738?
-2828
What is next in -42020, -42022, -42024, -42026?
-42028
What is next in -552, -1218, -1884, -2550, -3216, -3882?
-4548
What is next in 304, 374, 442, 508?
572
What is next in -1217, -2493, -3793, -5123, -6489?
-7897
What is the next term in -5883, -5857, -5829, -5799, -5767, -5733?
-5697
What is next in -218068, -218064, -218060, -218056?
-218052
What comes next: 1309, 2616, 3923, 5230, 6537?
7844
What comes next: -8371, -8393, -8425, -8473, -8543, -8641, -8773, -8945?
-9163
What is next in 638, 1251, 1866, 2483, 3102?
3723
What comes next: -766, -1516, -2268, -3022, -3778?
-4536
What comes next: 361, 1411, 3157, 5605, 8761?
12631
What is next in -226079, -226092, -226119, -226166, -226239, -226344?
-226487
What is next in 5284, 5225, 5136, 5005, 4820, 4569?
4240
What comes next: 4394, 4380, 4378, 4394, 4434?
4504
What is the next term in -541, -787, -1033, -1279, -1525, -1771?
-2017
What comes next: -2221410, -2221411, -2221412?
-2221413
What comes next: -2197, -2052, -1813, -1480, -1053, -532?
83
What is next in 43365, 43375, 43387, 43401, 43417, 43435, 43455?
43477
What is next in 458383, 458392, 458401?
458410
What comes next: -10281990, -10281992, -10281994, -10281996, -10281998, -10282000?
-10282002
What is the next term in 7118, 7214, 7310, 7406, 7502, 7598?
7694
What comes next: -160787, -321574, -482361, -643148, -803935?
-964722
What comes next: 923, 184, -1047, -2770, -4985, -7692, -10891?
-14582
What is next in -189, -451, -713, -975, -1237, -1499?
-1761
What is next in -4111, -16479, -37093, -65953, -103059?
-148411
What is the next term in -332, -313, -298, -281, -256, -217, -158?
-73
What is next in -3520, -3511, -3502, -3493?
-3484
What is next in 358694, 358688, 358680, 358670, 358658?
358644
What is the next term in -211, -575, -939?
-1303
What comes next: -443, -432, -411, -380?
-339
What is next in -2140, -4338, -6540, -8746, -10956, -13170, -15388?
-17610
What is the next term in -66, -281, -642, -1149?
-1802
What comes next: 5398, 21696, 48850, 86854, 135702?
195388
What comes next: -1110, -1132, -1152, -1170, -1186?
-1200
What comes next: 30, 39, 36, 21, -6, -45?
-96
What is the next term in 115, 200, 261, 298, 311?
300
What is next in 2387, 4761, 7137, 9515, 11895, 14277, 16661?
19047
What comes next: 51, 440, 1519, 3630, 7115, 12316, 19575, 29234?
41635
What is next in -473, -840, -1207, -1574?
-1941
What is the next term in -200, -396, -592, -788?
-984
What is the next term in 5514, 5525, 5542, 5565, 5594?
5629
What comes next: -83, -58, -33, -8, 17?
42
What is the next term in -22324, -22325, -22326?
-22327
What is the next term in 404, 482, 560, 638?
716
What is the next term in -535, -1334, -2133, -2932, -3731, -4530?
-5329
What is the next term in -4780, -10380, -15982, -21586, -27192?
-32800
What is next in 132695, 265387, 398079?
530771
What is next in 564, 569, 574, 579, 584?
589
What comes next: -480, -949, -1418?
-1887
What is next in 13691, 27737, 41783, 55829?
69875
What is the next term in -140, -209, -264, -299, -308, -285, -224?
-119
What is next in 2607, 5390, 8511, 12138, 16439, 21582?
27735
What is the next term in -3117, -12430, -27951, -49680, -77617, -111762?
-152115
What is next in -1680, -6763, -15214, -27015, -42148, -60595?
-82338
What comes next: -40, -327, -808, -1483, -2352, -3415?
-4672
What comes next: -25244, -25238, -25232?
-25226
What is the next term in 174, 370, 622, 948, 1366, 1894?
2550
What is next in -137789, -137790, -137791, -137792, -137793, -137794?
-137795
What is the next term in -47448, -94897, -142346, -189795, -237244, -284693?
-332142
What comes next: -721, -710, -685, -640, -569, -466, -325, -140?
95
What comes next: 190, 462, 818, 1264, 1806, 2450, 3202, 4068?
5054
What is next in 630, 2327, 5094, 8931, 13838, 19815?
26862
What is the next term in 34218, 34234, 34266, 34320, 34402?
34518
What is the next term in -142618, -142623, -142630, -142639, -142650, -142663?
-142678
What is next in -353109, -353108, -353107?
-353106
What comes next: -2087805, -2087810, -2087817, -2087826, -2087837?
-2087850
What is next in 15525, 31052, 46579, 62106, 77633?
93160
What comes next: -822, -812, -802, -792, -782?
-772
What is the next term in -4013, -8043, -12085, -16139, -20205, -24283?
-28373
What is next in 464, 1848, 4152, 7376?
11520
What comes next: -15859, -31715, -47581, -63463, -79367?
-95299
What comes next: -35009, -35017, -35025, -35033, -35041, -35049?
-35057
What is next in -1845, -2953, -2597, -45, 5435, 14575?
28107
What is the next term in 727, 755, 793, 841?
899
What is next in -52, -154, -258, -370, -496, -642, -814?
-1018
What comes next: 145847, 291690, 437531, 583370, 729207, 875042, 1020875?
1166706
What is the next term in 57895, 57900, 57905, 57910?
57915
What is the next term in 24718, 24712, 24702, 24688?
24670
What comes next: 383, 165, -199, -709, -1365, -2167?
-3115
What is next in 781, 1507, 2221, 2917, 3589, 4231, 4837?
5401
What comes next: -18229, -72914, -164055, -291652?
-455705
What is the next term in -4482131, -4482130, -4482127, -4482122, -4482115, -4482106?
-4482095
What comes next: 236593, 236595, 236597?
236599
What comes next: -31296, -62592, -93888, -125184, -156480, -187776?
-219072
What is the next term in 71, 221, 531, 1079, 1943?
3201
What is the next term in 1384, 1400, 1436, 1498, 1592?
1724
What comes next: 177522, 177521, 177520, 177519, 177518, 177517?
177516
What is next in 77, 67, 9, -97, -251, -453?
-703
What is the next term in 3261, 3845, 4429, 5013, 5597, 6181?
6765
What is the next term in 766, 1530, 2294?
3058
What is next in -19335, -38701, -58067, -77433, -96799?
-116165
What comes next: 300, 1219, 2772, 4977, 7852?
11415
What is the next term in -6622, -26480, -59576, -105910, -165482, -238292?
-324340
What is the next term in 6289412, 6289413, 6289414, 6289415, 6289416, 6289417?
6289418
What comes next: -39, -290, -541, -792?
-1043
What is the next term in 534, 1073, 1614, 2157, 2702?
3249
What is next in 1841, 2327, 2813?
3299
What is the next term in -6502, -6509, -6514, -6511, -6494, -6457?
-6394
What comes next: 55780, 55778, 55776?
55774
What comes next: 6094, 12213, 18298, 24331, 30294, 36169?
41938
What is next in 1106, 1087, 1068?
1049
What is the next term in 2275, 8729, 19487, 34549, 53915?
77585
What is the next term in 146, 253, 518, 1019, 1834?
3041
What comes next: -4392, -8801, -13206, -17607, -22004, -26397, -30786?
-35171
What is the next term in 57, 199, 341, 483, 625?
767
What comes next: -1176922, -1176925, -1176928, -1176931, -1176934?
-1176937
What is the next term in 1166914, 1166917,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*n**2 + 4. Let q be u(-4). Suppose f - 3 = 4*a + q, -f + 1 = -2*a. Let x = -2 - f. List the prime factors of x.
3
Let f(v) = 3*v**2 + 3*v - 17. What are the prime factors of f(9)?
11, 23
Suppose 10*l - 20 = 5*l. What are the prime factors of l/6*-3 + 21?
19
Let p = 23 - -35. List the prime factors of p.
2, 29
Let t(a) = a - 9. Let w be t(9). Suppose w*h = -h - 8. Let l(v) = -2*v - 4. List the prime factors of l(h).
2, 3
Suppose -5*w + 195 = 5*v - 190, 306 = 4*v + 5*w. List the prime factors of v.
79
Let u(b) = b**3 - 6*b**2 - 6*b - 5. Let v be u(5). Let f = v - -95. List the prime factors of f.
5, 7
Suppose 0 = -4*c - 4*f + 8 + 32, 4*c - 16 = 4*f. Let i = 13 - c. What are the prime factors of i?
2, 3
Let f = -3 + 1. Let t = f - -4. Suppose -3*c + 24 = 2*x, -5*c = -t*c. List the prime factors of x.
2, 3
What are the prime factors of -1 - (-1 + -2*11)?
2, 11
Suppose b = -b + 4. Let v(l) = l - 10. Let k be v(12). Suppose k*p - 3*p = 2*f - 29, -b*f + 23 = -5*p. What are the prime factors of f?
2, 7
Let o be (4 + -3)*84/2. Suppose 0 = -5*n + 20, 2*a + 0*n - o = -4*n. What are the prime factors of a?
13
Let x(f) = f**3 - 7*f**2 + 10*f - 8. Suppose 0 = -3*b - 3*p + 3, -8*b = -3*b - 5*p - 55. List the prime factors of x(b).
2
Let n be 3/(-18)*2*3. Let x = 7 + n. What are the prime factors of x?
2, 3
Let f be (-14)/(-8)*(1 - 5). Let p = f + 22. What are the prime factors of p?
3, 5
What are the prime factors of (85/(-3))/(-1 + (-10)/(-12))?
2, 5, 17
Let p = 198 - 136. Let y = p + -35. What are the prime factors of y?
3
Let s = -35 + 71. What are the prime factors of s?
2, 3
Let s(c) = -7*c - 2 - 3 + 5. What are the prime factors of s(-2)?
2, 7
Suppose -d = 4*n - 21, -3*d - 3*n + 19 = -2*n. Suppose 0 = g - d*g + 44. Suppose 3*i - 13 = -3*l - 2*i, 0 = 2*l + i - g. List the prime factors of l.
2, 3
Let l = 17 + -27. Let g(w) = -2*w**2 - 3*w - 3. Let b(i) = -5*i**2 - 10*i - 10. Let v(s) = l*g(s) + 3*b(s). What are the prime factors of v(1)?
5
Suppose 0 = -3*j - 0*j + 36. Suppose -3*q = -6*q - j. What are the prime factors of (q + -1)*18/(-10)?
3
Suppose -25 + 0 = -b. Suppose 2*j + 3*j = b. List the prime factors of j.
5
Let z be 9/12 + (-23)/4. Let t be 3*(-4)/(-30)*z. What are the prime factors of t/(-5) - (-476)/35?
2, 7
Suppose -5*h - 5*g + 0*g + 20 = 0, -5*g = -5*h - 20. Suppose 5*t - t = h. Suppose 0 = -2*d - t*d + 30. List the prime factors of d.
3, 5
What are the prime factors of 33/(-198) - (589/(-6) - 1)?
3, 11
Let w = -44 - -94. Suppose -14 = 4*l - w. What are the prime factors of l?
3
Let p(a) = a**3 - 15*a**2 + 18*a - 17. What are the prime factors of p(14)?
3, 13
Let m = -6 - -8. Suppose -5 = -i + m. What are the prime factors of i?
7
Suppose 0 = 2*m + 6 + 6. Let s(u) = u**3 + 5*u**2 - 6*u + 5. Let w be s(m). List the prime factors of 3 + (w - 0/(-2)).
2
Suppose 0 = 3*u + 68 - 509. What are the prime factors of u?
3, 7
Let v be (-6 - -34)*(-1)/(-1). Suppose -3*z = 3*s + v - 133, 4*z - 122 = 2*s. Let p = z + -16. List the prime factors of p.
2
Suppose 4*j - 813 = 723. What are the prime factors of j?
2, 3
What are the prime factors of (-211)/(-3) - (4/(-3))/(-4)?
2, 5, 7
Let y be (17 + -2)/((-6)/4). What are the prime factors of 5/y + 171/6?
2, 7
Suppose 0 = 4*x - 4*n - 4, -7 = -0*x - 2*x - 3*n. What are the prime factors of x?
2
List the prime factors of 8/(8/(-4)) + 187.
3, 61
Suppose 4*i - 360 = -4*y - 120, 3*y - 56 = -i. What are the prime factors of i?
2, 31
List the prime factors of 0 - -1 - 3 - (-87 + 9).
2, 19
Let m = 100 + -67. What are the prime factors of m?
3, 11
Suppose -4*w = 3*v - 10, v + 4*v - 11 = -w. Suppose -5*f - 4*k = -97, -k - 1 = w. Let c = -12 + f. List the prime factors of c.
3
Let n(b) = -6*b + 21. What are the prime factors of n(-14)?
3, 5, 7
Let n = 68 - 34. List the prime factors of n.
2, 17
Suppose 2*u + u - 38 = -n, -179 = -5*n - 4*u. List the prime factors of n.
5, 7
What are the prime factors of 34*-1*(3 + -4)?
2, 17
Let o be (1/2)/((-5)/60). Let i(q) = -q - 3. Let a be i(o). Suppose -a*s - 2*v = -5*v - 39, -3*v = -2*s + 27. List the prime factors of s.
2, 3
Suppose -5*f + h + 58 = 0, 30 = f + 2*f - 3*h. List the prime factors of f.
2, 3
List the prime factors of 7/(-3 - -1 - 33/(-16)).
2, 7
Suppose -v = -0*v - 20. Let c = v + -4. Let t = c - 11. List the prime factors of t.
5
Let u(s) = -4*s + 14. Let n(h) = -5*h + 15. Let b(c) = -3*n(c) + 4*u(c). What are the prime factors of b(6)?
5
Let z = 53 + -1. Let v = -29 + z. List the prime factors of v.
23
Let c = 3 - 8. Let a = c + 1. What are the prime factors of ((-9)/(a + 1))/1?
3
Suppose 104 = 4*o - 52. What are the prime factors of o?
3, 13
Let i(s) be the second derivative of 0*s**2 + 1/20*s**5 + 0 + 2/3*s**3 + 1/2*s**4 - 2*s. What are the prime factors of i(-5)?
5
Suppose -2*s + 22 + 134 = 4*j, j = -3*s + 219. What are the prime factors of s?
2, 3
List the prime factors of (3 + -1)*(-90)/(-20).
3
Let v(p) = 3*p**2 - 2*p - 1. Let o be v(-1). Suppose -o*w = w. Suppose -a - 3*a + 56 = w. What are the prime factors of a?
2, 7
Let p(v) = 2*v. Let c(x) = -4*x + 1. Let u(l) = -2*c(l) - 5*p(l). Let t be (((-9)/4)/3)/(2/8). List the prime factors of u(t).
2
Let v be (-1 - -6)*(-130)/25. Let b = v + 37. List the prime factors of b.
11
Let v(o) = o**3 - 7*o**2 - 8*o - 10. Let c(z) = z + 8. Let x be c(0). Let k be v(x). Let n = -1 - k. List the prime factors of n.
3
Suppose 2*l = -i - l + 12, i + 5*l = 20. Suppose -2*s + s - 4 = i. Let f(w) = -w**2 - 6*w - 4. What are the prime factors of f(s)?
2
Suppose 6*z - 272 - 166 = 0. What are the prime factors of z?
73
Let b(w) = -w**2 - 9*w + 4. Let l be b(-10). Let c = l - -8. Suppose -c*r + 2 = -r. What are the prime factors of r?
2
Suppose 3*c - 2 - 11 = -2*n, -5*c + 10 = n. Let f(l) = 1 - l - c + 2. What are the prime factors of f(-5)?
7
Let v(i) = i**3 + 7*i**2 - 7*i + 10. Suppose -2*t + 42 = -38. Suppose -5*a - 4*u - t = -a, -2*u + 36 = -5*a. What are the prime factors of v(a)?
2
What are the prime factors of (-2 + 3 + -6)*-10?
2, 5
Let f(z) = 8*z - 12. Let b(t) = 23*t - 36. Let a(d) = 4*b(d) - 11*f(d). List the prime factors of a(6).
2, 3
Suppose -4*b + 12 = -7*b. Let c = 6 + b. Suppose -c*f = -f - 17. List the prime factors of f.
17
Let l be (-16)/(-9) + (-18)/(-81). Let r = l + 25. List the prime factors of r.
3
Let m(i) = 7*i**2 - 6*i + 4. Let h(x) = -6*x**2 + 7*x - 4. Let r(o) = 6*h(o) + 5*m(o). List the prime factors of r(10).
2
Suppose -6*t + 2*t = -96. Suppose -3*y + 24 = -t. List the prime factors of y.
2
Let p = 6 - 4. Let x = 16 + -14. List the prime factors of (x - 0) + 3 + p.
7
Suppose 2*d - 20 = 2*r - 6*r, -3*d + 2 = -r. Suppose 3*y = 2*z + 37, r*y - 2*y - z = 25. List the prime factors of y.
13
Let g = -15 + 56. What are the prime factors of g?
41
Let t = 2 + -2. Let c(w) = -w**2 - w + 4. Let z be c(t). Let v(o) = 2*o + 4. What are the prime factors of v(z)?
2, 3
Let x be (7/28)/((-1)/(-4)). List the prime factors of x*-2 + 8*3.
2, 11
Suppose 2*w - 156 = -2*w. List the prime factors of w.
3, 13
Let z = 44 + -62. Let b be (21/(-2))/(z/24). List the prime factors of (-1 - -5)/(4/b).
2, 7
Suppose i - 18 + 2 = 0. Suppose 4*p - i = 48. Let s = p + -9. List the prime factors of s.
7
Suppose 22 = 4*a - 3*a. List the prime factors of a.
2, 11
Suppose 1441 = 5*p + 26. What are the prime factors of p?
283
Let j be (4/5)/(2/(-60)). Let l = 34 + -40. Let n = l - j. What are the prime factors of n?
2, 3
Let q = 3 - 0. Suppose -2*k - q - 1 = 0. List the prime factors of k/4*-10*1.
5
Suppose -2*y + 6 + 54 = 0. What are the prime factors of 2 + (-7)/((-21)/y)?
2, 3
Suppose -4*j + 6 = z, 2*z + 4*j - 62 = -3*z. Suppose -4*m = q - z, -2*q = 2*m - 7 - 15. List the prime factors of q.
2, 5
Let s be (-112)/(-18) - 4/18. Let d(y) = y**2 - 3*y - 8. What are the prime factors of d(s)?
2, 5
Let i(s) = -s**2 + 2. Let f be i(0). Let n(g) = g**2 + 2. Let o be n(f). Suppose -10 = b - o*b. What are the prime factors of b?
2
What are the prime factors of -4*(0 + -3 + -16)?
2, 19
Let g = -17 + 139. What are the prime factors of g?
2, 61
Let i = 335 + -238. Let t = i - 68. List the prime factors of t.
29
Suppose 3*m + 2*n = -74 + 320, m = 3*n + 71. List the prime factors of m.
2, 5
Let t(i) = 0*i + 3*i - 7*i**2 + i**3 - 4 + 3*i**2. L
|
{
"pile_set_name": "DM Mathematics"
}
|
eger.
4
Let c = -0.06989 - -0.02403. Let u = -0.045 - c. Round u to 4 decimal places.
0.0009
Let z be -65997 - (2 + (-3 - -4)). What is z rounded to the nearest ten thousand?
-70000
Let t = -2204 + 2415.9. Let b = -220.848 - 0.152. Let g = t + b. What is g rounded to the nearest integer?
-9
Let r = 30.5 + 2.5. Let x = r + -48. Let w = 15.055 + x. What is w rounded to two decimal places?
0.06
Let p = -2.2 + 2.20000082. Round p to 6 dps.
0.000001
Suppose 1075012 = -5*w - 3*k, 0 = -w - 3*k - 17051 - 197961. What is w rounded to the nearest ten thousand?
-220000
Let p be (-14080)/(-6)*(-1500)/(-8). Suppose f + p = 3*f. What is f rounded to the nearest 100000?
200000
Let y = 21817089 + -13857089. Round y to the nearest one hundred thousand.
8000000
Let c = -2 - -10. Let f = -7.8 + c. Round f to 0 dps.
0
Let p = -0.8 + 0.8. Let a = p - -0.000056. Round a to 5 dps.
0.00006
Let b = -256960.1559820305 - -0.1597820305. Let x = b + 256987. Let j = 27 - x. What is j rounded to 3 decimal places?
-0.004
Let f = -8 - -13. Suppose f*j - 264 = -84. What is j rounded to the nearest ten?
40
Let w = 0.05 + 0.1. What is w rounded to one dp?
0.2
Suppose -5*r + 45 = 135. What is r rounded to the nearest 10?
-20
Let q(t) = -479600*t**2. Let o be q(5). What is o rounded to the nearest 1000000?
-12000000
Let d = -44467.052 + 44346. Let n = -0.052 - d. Let j = -120.9947 + n. Round j to 3 decimal places.
0.005
Let v be 25322/6 - ((-55)/15 - -4). What is v rounded to the nearest one hundred?
4200
Suppose 81 = -5*l + 21. Let y be (1/(-2))/(l/(-9600000)). What is y rounded to the nearest 100000?
-400000
Let i = -20.7 + 30. Let x = i + -8.48. What is x rounded to 1 dp?
0.8
Let p = -1.339 + 1.23. Let g = -0.09 - p. Round g to 2 dps.
0.02
Let k = 3.801 - 0.031. Let p = k - 4. Round p to 1 decimal place.
-0.2
Let a(z) = 63267*z**3 + 2*z**2 - 2*z - 2. Let y be a(3). Suppose -8608219 = 3*t - y. Round t to the nearest one million.
-2000000
Let a = 64 + -63.942. Let k = -0.05913 + a. What is k rounded to four dps?
-0.0011
Let q = 61.99999925 - 62. Round q to seven decimal places.
-0.0000008
Let h = 4.66 - -6.17. Let q = -3 + -8. Let x = h + q. What is x rounded to one dp?
-0.2
Let d = -255.13 + 254. Let x = -76.87 + d. Let o = x - -69.6. Round o to the nearest integer.
-8
Let o(z) = -186*z**3 - 2*z**2 + 2*z + 2. Let c be o(-3). Round c to the nearest 1000.
5000
Let t = -64126 + 63972.195. Let y = t - 0.195. Let k = -153.999929 - y. Round k to 5 dps.
0.00007
Let x = 1090.231 - 1149.2. Let n = x - -59. Let j = n + -0.115. Round j to 2 decimal places.
-0.08
Let m = 83.105 - 85. Let s = m + 5.99. Let j = s + 0.005. Round j to the nearest integer.
4
Suppose -388988 = 2*p - 102200. Let i = p + 10394. Round i to the nearest 10000.
-130000
Suppose 0 = -4*y - 3*b + 12, 2*y + 3*b = -3*y + 12. Let m be y - 4/(8/(-6)). What is m rounded to the nearest integer?
3
Let r(k) = 12*k**2 - 52*k**2 - 15*k**2. Let x be (-2)/2 - 5/(-1). Let s be r(x). What is s rounded to the nearest 100?
-900
Let g(j) = -190000*j**2 - 3*j + 3. Let c be g(1). What is c rounded to the nearest one hundred thousand?
-200000
Let r(h) = h**3 - 12*h**2 + 15*h - 16. Let y be r(11). Let s = -24 + y. What is s rounded to the nearest integer?
4
Let s(v) = 7372*v + 2 + 7217*v + 834*v + 6863*v. Let w be s(-7). What is w rounded to the nearest 10000?
-160000
Let f = -0.053 + -3.707. What is f rounded to the nearest integer?
-4
Let i = 0.53 + 0.02. Round i to one decimal place.
0.6
Let d(p) = p**2 + p + 309. Suppose 0*z + 4*z = 0. Let v be d(z). Let n be (1 + 229)*(v - 9). What is n rounded to the nearest 10000?
70000
Let u(a) = 2*a**2 + 3*a + 1. Let d be u(-2). Let m be ((-58500)/(-7))/(d/42). What is m rounded to the nearest 10000?
120000
Let g = -2 + 2.0026. What is g rounded to three decimal places?
0.003
Let l = 507104710 - 507104752.0000034. Let y = -42 - l. Round y to six decimal places.
0.000003
Let h = 27.02 - -2.78. Round h to zero dps.
30
Let r = -0.1 + -0.2. Let z = 0.7169 - 0.4168. Let k = z + r. What is k rounded to 4 decimal places?
0.0001
Let y = 1.92 - 21.32. Let t = 19.206 + y. What is t rounded to 2 decimal places?
-0.19
Let v = 1 + -3.5. Let u = -2 - v. Let r = 0.499988 - u. Round r to five decimal places.
-0.00001
Let r = 3934176.96003 - 3933982. Let l = 195.04602943 - r. Let s = l + -0.086. Round s to seven dps.
-0.0000006
Let a = 108058.49929 + -108120.5. Let u = 64.4 - 2.4. Let l = u + a. Round l to 4 decimal places.
-0.0007
Let v = 2.4 + -5.9. Let h = -22 + 33. Let m = v + h. What is m rounded to the nearest integer?
8
Let n = 400 - 400.0000434. What is n rounded to five decimal places?
-0.00004
Let u(p) = -23240*p - 123681*p - 69160*p + 1 + 19414*p. Let s = 11 + -8. Let k be u(s). What is k rounded to the nearest 100000?
-600000
Let v = -13 + 11. Let s(k) = 215001*k**2 + k - 2. Let f be s(v). What is f rounded to the nearest one hundred thousand?
900000
Let s = 0.17447 + -5.46837. Let p = -103.7 - -109. Let i = p + s. Round i to 3 dps.
0.006
Let t be (48 + 3)/((-1)/(-49)). Suppose m = -3649 - t. Let z = 3052 - m. Round z to the nearest one thousand.
9000
Suppose 6*q + 35487995 = -10112005. Round q to the nearest one million.
-8000000
Let x = -2.563731 - -1837210.563731. Let t = -1837294.9949 + x. Let f = t + 87. What is f rounded to three dps?
0.005
Let v = -0.6 - -0.6024. Round v to 3 decimal places.
0.002
Let i = 3.1 - 3.09989. Round i to four decimal places.
0.0001
Let v = 20.0843471 - 0.0848971. Let c = v - 20. What is c rounded to four decimal places?
-0.0006
Let x = -10217793 + 15217808. Suppose 0 = -5*f + y - 4999995, 0*f - 5*f - 3*y = x. Round f to the nearest one million.
-1000000
Let j = -1.93 + 1.8. Let y = j + 0.91. Round y to 1 dp.
0.8
Let z = -198 + 115. Let g = -128 - z. Let f = 45.31 + g. What is f rounded to 1 dp?
0.3
Let u = 5822440 + -5822439.96999979. Let z = 0.03 - u. Round z to seven dps.
-0.0000002
Let s = 29.8 + -29.69025. Let p = s + -0.11. Round p to 5 decimal places.
-0.00025
Let z be -2 + -2 + 3*506668. Round z to the nearest 100000.
1500000
Let d = -1927 - -1933.983. Let y = -4 - -11. Let s = y - d. What is s rounded to two decimal places?
0.02
Suppose 1245 = -w + 5*w - 3*r, 3*w - 2*r - 933 = 0. Suppose -2*v - w = 691. Round v to the nearest one thousand.
-1000
Let m = -997 - -1967. Round m to the nearest one hundred.
1000
Let d = 13191.77 - 13138. Let w = -167 - -113. Let j = w + d. Round j to 1 decimal place.
-0.2
Let k = 1.3 - 1.24. Let q = -0.382 + 0.3221. Let v = k + q. Round v to four dps.
0.0001
Let g = -20 - -20.0012. What is g rounded to 3 decimal places?
0.001
Let s = -10 + 10.96. Round s to 1 dp.
1
Suppose 5 = 5*r, -q - 3*r = -2*r - 3081. Round q to the nearest 100.
3100
Suppose -4*t - 2*l = -68010, 45637 = 3*t + 5*l - 5388. Round t to the nearest 10000.
20000
Suppose 3*u + 2*f - 4 = 4, 0 = -4*u + 3*f - 12. Let x(t) = -3 + 2 + u + 650001*t. Let j be x(1). Round j to the nearest 100000.
700000
Let c(p) be the first derivative of -p**4/4 - p**3/3 + 2*p**2 + 8*p + 2. Let j be c(6). Let l be ((-4)/10)/((-2)/j). Round l to the nearest ten.
-40
Let s = 5 + -5.2. Let m = -1 - s. Let c = m + 0.86. Round c to 1 dp.
0.1
Let o = 1462.586 - 1536.5741. Let i = 74 + o. What is i rounded to three dps?
0.012
Let s = 976 - 975.9999571. What is s rounded to five decimal places?
0.00004
Suppose u = -1, 0*k + k + 4*u = -34983873. Let m = k + 52383869. Suppose m = -0*r + 2*r. What is r rounded to the nearest 1000000?
9000000
Let f = 0.81 + -7.61. Let o = 449 - 442.82. Let a = o + f. What is a rounded to 1 dp?
-0.6
Let s = -55 + 55.00000134. Round s to six dps.
0.000001
Let l = 158.559289 - 151.55929. Let r = l + -7. What is r rounded to five decimal places?
0
Let o = -33.00000054 - -33. What is o rounded to 7 decimal places?
-0.0000005
Let n(h) = -3*h + 12. Let o be n(6). Let g be o/21 - 95199992/28. Round g to the nearest 1000000.
-3000000
Let l = 1233308.900013 + -1233310. Let s = -1.1 - l. What is s rounded to 5 dps?
-0.00001
Let u = -81 - -80.9999876. What is u rounded to six dps?
-0.000012
Suppose -d = 22 - 12. Let z(a) = a - 1. Let c(n) = 22*n**2 - 5*n - 6. Let f(p) = c(p) + 4*z(p). Let y be f(d). Round y to the nearest one thousand.
2000
Let r = 4 + 0. Suppose 0 = r*n - 15090 -
|
{
"pile_set_name": "DM Mathematics"
}
|
2958*u - 12
What is the third derivative of 3467*c**2*t**3 + 68*c**2*t - 7*c*t**4 + 2*t**4 - 440*t**2 wrt t?
20802*c**2 - 168*c*t + 48*t
What is the derivative of 46552*j**2 - 28126 wrt j?
93104*j
Find the first derivative of -85744*q**2*u**2 - 7*q**2 + 27*q - 2*u**2 + u - 133 wrt u.
-171488*q**2*u - 4*u + 1
Find the third derivative of -253*r**4 - 173*r**3 + 28134*r**2 - 1 wrt r.
-6072*r - 1038
What is the third derivative of d**2*i**5 + 1901725*d**2*i**4 + 19327*d**2*i**2 - d wrt i?
60*d**2*i**2 + 45641400*d**2*i
What is the derivative of 2*f*l**2 - 32*f*l - 5*f + 3*l**2 + 84*l + 29 wrt f?
2*l**2 - 32*l - 5
What is the third derivative of 571943*q**3 - 646719*q**2?
3431658
Find the second derivative of -2714*v**3 + 12*v**2 + 1030*v - 30 wrt v.
-16284*v + 24
What is the second derivative of 2*j**2*x**2 - 534*j**2*x + 882*j*x**2 - 4*j*x wrt j?
4*x**2 - 1068*x
What is the third derivative of -13*r**5 - 2864*r**4 + 2*r**2 + 18079?
-780*r**2 - 68736*r
What is the second derivative of -5*b**3*o + 46*b**3 + 116*b**2*o - 6*b*o - 2*b - o - 6368 wrt b?
-30*b*o + 276*b + 232*o
What is the third derivative of -1173966*p**5 - 15*p**2 + 1633 wrt p?
-70437960*p**2
What is the second derivative of 1807*d**5*r - 2*d**2*j*r + 196*d**2*r + 6700*d*r - 104*j*r - j wrt d?
36140*d**3*r - 4*j*r + 392*r
Differentiate -24*h**2*u**4 + 6*h**2*u - 17572*h**2 + 6*h*u with respect to u.
-96*h**2*u**3 + 6*h**2 + 6*h
What is the second derivative of 11*w*z**5 - 6*w*z - 24*w + 404*z**4 + 8*z**3 + 142 wrt z?
220*w*z**3 + 4848*z**2 + 48*z
Find the second derivative of 70323*i**2 - 5030*i wrt i.
140646
What is the third derivative of -43184*x**6 + 152*x**2 wrt x?
-5182080*x**3
Find the third derivative of 258727*b**4 + 45106*b**2.
6209448*b
What is the second derivative of -525*m**3 + 213*m**2 - 2*m - 19203 wrt m?
-3150*m + 426
What is the third derivative of -800383*h**5 - h**2 + 4*h + 85710?
-48022980*h**2
What is the second derivative of 71*l*n**4 - 8989*l*n**2 - 29395*l + 3*n + 10 wrt n?
852*l*n**2 - 17978*l
Find the second derivative of 8213*j**4 + 6*j**2 + 1511*j - 1.
98556*j**2 + 12
Find the first derivative of -79*b*c - 267*b + 4006*c - 6 wrt b.
-79*c - 267
What is the third derivative of 29*q**6 + 858*q**5 + q**4 - 260762*q**2 - 5 wrt q?
3480*q**3 + 51480*q**2 + 24*q
Find the third derivative of -30*w**6 + 347*w**3 + w**2 + 235*w - 62 wrt w.
-3600*w**3 + 2082
What is the second derivative of -390980*r**2 + 37414*r - 4 wrt r?
-781960
What is the second derivative of -2*j**2*q**3 - 14171*j**2*q**2 + 173*j**2*q + j*q - 5*q**3 + 2*q - 10 wrt q?
-12*j**2*q - 28342*j**2 - 30*q
Find the second derivative of 587757*z**5 - 38465*z - 66.
11755140*z**3
Find the third derivative of 2879*l**5 - 35*l**2 - 12*l + 2.
172740*l**2
Find the second derivative of 647*u**4 - 990*u + 5 wrt u.
7764*u**2
Find the third derivative of -13072*a**4*f**3 + 2*a**4 + a**3*f**3 - a**2*f - 82*a**2 + 13*a*f**3 - 2 wrt a.
-313728*a*f**3 + 48*a + 6*f**3
Find the second derivative of -15*f**2*k*w + 544*f**2*w**2 - 3*f**2*w + 19*f*k - 43*f*w**2 - 3*f*w + 5*f wrt f.
-30*k*w + 1088*w**2 - 6*w
What is the third derivative of -796*m**5 - 2*m**3 - 10*m**2 - m - 125?
-47760*m**2 - 12
What is the third derivative of 196*s**6 - 10541*s**3 + 419737*s**2 wrt s?
23520*s**3 - 63246
Find the first derivative of -2*h*k**4 + 495624*h + 2368*k**4 - 17*k**2 - 1 wrt k.
-8*h*k**3 + 9472*k**3 - 34*k
Differentiate -15*a**3*s + 7000*a*s**2 + 65*s**2 - 36*s - 18 wrt a.
-45*a**2*s + 7000*s**2
Find the second derivative of 13*i**3*m*v**3 - 5*i**3*v - 13*i**3 + i**2 + 1364*i*v**3 - 6*m*v wrt v.
78*i**3*m*v + 8184*i*v
Find the first derivative of -304959*q**3 - 147164.
-914877*q**2
What is the derivative of -189516*d**4 - 329591 wrt d?
-758064*d**3
Find the third derivative of 5*r**2*w**3 + 15828*r**2 - 3*r*w**3 - r*w**2 - 1388*w**3 wrt w.
30*r**2 - 18*r - 8328
Find the second derivative of -533492*y**4 - 573316*y.
-6401904*y**2
Find the third derivative of 7887*v**3 - 149*v**2 - 98*v - 4.
47322
Differentiate 1812099*b**2*o**2*w - 2*b**2*w + b**2 - b*o**2 - 2879609*b*o - o**2 wrt w.
1812099*b**2*o**2 - 2*b**2
Find the third derivative of -66090*i**4*z**2 - i**3*z**2 + 99*i**2*z + 3*i**2 - 10*i*z**2 wrt i.
-1586160*i*z**2 - 6*z**2
What is the first derivative of -8*s**4 - 5*s**3 - 27*s - 166677 wrt s?
-32*s**3 - 15*s**2 - 27
What is the derivative of 5912*j*u + 5267448*j - 9*u wrt u?
5912*j - 9
What is the first derivative of 214789*h**2*i**3 + 5*h**2*i - 2*i**3 - 122*i**2 + 5*i + 71 wrt h?
429578*h*i**3 + 10*h*i
Find the third derivative of -4*l**2*s*u**3 - 9*l**2*s*u**2 - 1319*l**2*s*u + 194*l*s*u**3 + 65*l*u**3 wrt u.
-24*l**2*s + 1164*l*s + 390*l
Find the third derivative of -120684*h**3*x**3 + 4*h**3*x**2 - 7*h**2*x - 392*h*x wrt x.
-724104*h**3
What is the third derivative of 54*m**5 - 9*m**4 + 987*m**3 - 19141*m**2 - 2*m - 49 wrt m?
3240*m**2 - 216*m + 5922
Find the third derivative of c*d**3 + 1082*c*d**2 - 3*c*d + 2156146*d**3 + 22*d**2 wrt d.
6*c + 12936876
Find the third derivative of -452011*j**6 + 75603*j**2 wrt j.
-54241320*j**3
Find the third derivative of -260*w**6 - 31*w**3 + 185*w**2 + 106*w.
-31200*w**3 - 186
What is the second derivative of 121678*q**2*v + 4*q*v - 14*q + 28 wrt q?
243356*v
Differentiate 104*k*n*s - 25394*k*s**2 - 24*n*s**2 with respect to n.
104*k*s - 24*s**2
Find the third derivative of -40*s**5 - 429*s**3 + 63*s**2 - 7*s + 73.
-2400*s**2 - 2574
Differentiate 12*c*f*t + 50*c*f + 759*c*t**2 - 1426*f*t**2 - 19*f*t + 3*f - 2*t**2 with respect to c.
12*f*t + 50*f + 759*t**2
Find the third derivative of 74099*u**4 + 10093*u**2 + 1.
1778376*u
Find the second derivative of -8*w**2*x**2 - 177*w**2*x + 3*w**2 + 9*w*x**3 + w*x*y + 245*x**2*y - 5*x**2 - 25*x*y - 11*y wrt x.
-16*w**2 + 54*w*x + 490*y - 10
What is the second derivative of -975*f**5*k + 2*f**5 - f**3 - 64*f*k + 21*k wrt f?
-19500*f**3*k + 40*f**3 - 6*f
What is the third derivative of 6*l**4 + 1427*l**3 - 379*l**2 + l + 31?
144*l + 8562
Find the third derivative of -5*h**2*z**4 + 2192*h**2*z**3 - 160*h**2*z**2 - 1130*z**2 wrt z.
-120*h**2*z + 13152*h**2
Find the first derivative of 595516*h + 165294 wrt h.
595516
Find the first derivative of 58448*o + 23478 wrt o.
58448
What is the second derivative of 3397228*i**3*p**2 - 129*i*p**2 - 2*i*p - 89*i - 6*p**2 + 1 wrt i?
20383368*i*p**2
Find the second derivative of 2*j**3*y**2 + 8169*j**3 + j**2*y**2 - j**2*y - 39*j*y**2 + 44*y**2 wrt y.
4*j**3 + 2*j**2 - 78*j + 88
What is the second derivative of 44235*g**4 - 21*g**2 - 3749558*g?
530820*g**2 - 42
What is the third derivative of -213338*v**4 + 28*v**2 + 2935*v - 2 wrt v?
-5120112*v
What is the first derivative of -9066*b*w**2 - 27*w**2 + w + 555 wrt b?
-9066*w**2
What is the third derivative of 2*h**3*t**3 + 2*h**3*t**2 - 2354*h**3 - 4*h**2*t**3 + 22*h**2*t + 2*h + 33*t**3 wrt h?
12*t**3 + 12*t**2 - 14124
Find the third derivative of -285*x**5 - 33*x**3 - 4*x**2 + 1008*x - 2 wrt x.
-17100*x**2 - 198
Find the third derivative of -3*g**2*m**4 + 21419*g**2*m**3 - 3979*g**2*m**2 + 4*g**2 + g*m**3 - 37*g*m**2 wrt m.
-72*g**2*m + 128514*g**2 + 6*g
What is the third derivative of -48*b**4*t - 11*b**4 + 3*b**3*t + b**3 + 8*b**2*t + 4*b**2 - b - 9*t wrt b?
-1152*b*t - 264*b + 18*t + 6
What is the first derivative of 267106*t - 299003?
267106
Find the third derivative of -376534*f*z**4 + 2*f*z**2 + 15276*f + 3*z**4 - z**2 - 4*z + 3 wrt z.
-9036816*f*z + 72*z
Find the third derivative of 5*f**4 - 12630*f**3 + 668339*f**2 wrt f.
120*f - 75780
What is the third derivative of -4475*g**4 + 4*g**3 - 4*g**2 - 31493?
-107400*g + 24
Find the third derivative of 394341*m**4 - 859716*m**2 wrt m.
9464184*m
What is the third derivative of 4942253*k**3 - 1291597*k**2 wrt k?
29653518
What is the second derivative of 104*p**2*s**3 + 46653*p**2 - 45*p*s**4 - 2*s wrt s?
624*p**2*s - 540*p*s**2
Find the third derivative of -103758*m**4 + 3*m**3 + m**2 + 31*m + 312.
-2490192*m + 18
Find the second derivative of 73*d**3*t*z**2 - 2*d**3*z - 2*d**2*t*z - 14558*d**2*z + 9*d + 83*t*z**3 - 12*t*z**2 wrt z.
146*d**3*t + 498*t*z - 24*t
Find the first derivative of -37631*c**4*g**3 + 4*c**2*g**3 + 2*g**3 - 647658*g**2 + 2 wrt c.
-150524*c**3*g**3 + 8*c*g**3
What is the second deriv
|
{
"pile_set_name": "DM Mathematics"
}
|
hout replacement from {c: 1, f: 3, i: 5, l: 3, s: 1, x: 2}. Give prob of picking 2 f and 1 i.
3/91
What is prob of picking 2 j when two letters picked without replacement from iphjigj?
1/21
Two letters picked without replacement from {p: 10, i: 4}. Give prob of picking 2 i.
6/91
Calculate prob of picking 2 s when two letters picked without replacement from vyussmmuz.
1/36
Four letters picked without replacement from {n: 4, r: 9, t: 1, m: 1}. What is prob of picking 2 m, 1 t, and 1 r?
0
Calculate prob of picking 1 e and 1 s when two letters picked without replacement from ssshe.
3/10
Three letters picked without replacement from gggwgwgwgwg. Give prob of picking 1 g and 2 w.
14/55
Two letters picked without replacement from zvvvvzvzvv. Give prob of picking 1 z and 1 v.
7/15
What is prob of picking 2 l and 2 x when four letters picked without replacement from {l: 5, x: 5, p: 8}?
5/153
Four letters picked without replacement from {o: 2, f: 7}. Give prob of picking 4 f.
5/18
Two letters picked without replacement from btgbti. Give prob of picking 2 t.
1/15
Two letters picked without replacement from {s: 2, n: 3, d: 5}. Give prob of picking 1 s and 1 n.
2/15
What is prob of picking 3 r when three letters picked without replacement from {p: 5, r: 14}?
364/969
What is prob of picking 1 t and 1 m when two letters picked without replacement from {e: 1, m: 3, t: 1}?
3/10
Two letters picked without replacement from {v: 5, g: 1, b: 5}. What is prob of picking 1 g and 1 b?
1/11
Three letters picked without replacement from {q: 2, f: 3}. Give prob of picking 3 f.
1/10
Three letters picked without replacement from tzczctcbzzzbzzb. Give prob of picking 1 z, 1 b, and 1 t.
6/65
What is prob of picking 1 h and 1 a when two letters picked without replacement from {p: 1, f: 2, m: 2, a: 6, h: 1}?
1/11
Three letters picked without replacement from wdywyyywdwwd. What is prob of picking 1 d, 1 w, and 1 y?
3/11
Two letters picked without replacement from ttqbfiqbqtqqqfftt. What is prob of picking 1 i and 1 q?
3/68
What is prob of picking 2 y and 2 h when four letters picked without replacement from {y: 4, h: 8, z: 2, w: 1, p: 2, x: 3}?
56/1615
What is prob of picking 1 p, 1 e, and 1 w when three letters picked without replacement from vewennp?
2/35
Three letters picked without replacement from {o: 2, q: 7, m: 3}. What is prob of picking 1 o and 2 q?
21/110
Four letters picked without replacement from {r: 7, t: 2, u: 1}. What is prob of picking 4 r?
1/6
What is prob of picking 2 o when two letters picked without replacement from {o: 2, v: 1, p: 2, u: 1, z: 2}?
1/28
What is prob of picking 1 b, 1 d, 1 j, and 1 h when four letters picked without replacement from {j: 2, v: 1, h: 3, k: 2, b: 1, d: 6}?
12/455
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from kdafdmf.
1/21
What is prob of picking 1 n and 1 i when two letters picked without replacement from iiwwwiwiiwwnwwiiiji?
1/19
Two letters picked without replacement from {b: 7}. Give prob of picking 2 b.
1
What is prob of picking 1 q, 1 d, and 1 i when three letters picked without replacement from dkikiqkidx?
1/20
What is prob of picking 1 u and 1 g when two letters picked without replacement from {g: 1, u: 1, i: 1}?
1/3
Calculate prob of picking 3 l and 1 b when four letters picked without replacement from tlbb.
0
Four letters picked without replacement from {k: 5, j: 15}. What is prob of picking 4 j?
91/323
Two letters picked without replacement from gmkgkmllxlmm. Give prob of picking 1 l and 1 x.
1/22
Two letters picked without replacement from {o: 10, u: 2}. Give prob of picking 2 o.
15/22
What is prob of picking 3 j when three letters picked without replacement from jaaajjjj?
5/28
Two letters picked without replacement from {g: 2, h: 1}. Give prob of picking 1 h and 1 g.
2/3
What is prob of picking 2 x and 1 l when three letters picked without replacement from {d: 2, h: 2, l: 4, x: 3, w: 1}?
3/55
Calculate prob of picking 1 z, 1 f, 1 t, and 1 y when four letters picked without replacement from fffyftfzrgyytfrrtzr.
9/323
Four letters picked without replacement from {u: 2, n: 1, x: 1, w: 1, d: 1, v: 1}. Give prob of picking 1 n, 1 x, 1 u, and 1 w.
2/35
What is prob of picking 1 d and 2 v when three letters picked without replacement from {v: 6, h: 2, d: 9}?
27/136
Three letters picked without replacement from ffffskfkfqqcsqkkk. Give prob of picking 1 k, 1 c, and 1 f.
3/68
Two letters picked without replacement from {c: 1, g: 1, i: 1}. What is prob of picking 1 i and 1 g?
1/3
What is prob of picking 2 q and 1 c when three letters picked without replacement from ltvgcqqg?
1/56
Two letters picked without replacement from bbbu. Give prob of picking 1 u and 1 b.
1/2
Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 3, g: 3, l: 1, y: 4}.
12/55
Three letters picked without replacement from {r: 2, n: 2}. What is prob of picking 1 r and 2 n?
1/2
Two letters picked without replacement from {e: 1, d: 3, q: 1, i: 5, u: 1, p: 3}. Give prob of picking 2 i.
10/91
Calculate prob of picking 3 k when three letters picked without replacement from {k: 9}.
1
Three letters picked without replacement from ccttttttt. What is prob of picking 1 t and 2 c?
1/12
What is prob of picking 1 q and 1 r when two letters picked without replacement from zqqrooqooorrz?
3/26
Three letters picked without replacement from {t: 2, o: 1, c: 1, x: 2, d: 1}. What is prob of picking 2 t and 1 x?
2/35
Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {i: 11, d: 2}.
5/13
What is prob of picking 1 z, 1 b, and 2 y when four letters picked without replacement from {s: 1, z: 1, b: 5, y: 3}?
1/14
Four letters picked without replacement from {q: 6, t: 1, h: 4, x: 3}. Give prob of picking 3 h and 1 x.
12/1001
Two letters picked without replacement from llullunu. Give prob of picking 2 l.
3/14
Two letters picked without replacement from gccgcgcggc. Give prob of picking 2 g.
2/9
Three letters picked without replacement from {t: 10, a: 1, l: 2, u: 3, i: 1, z: 1}. What is prob of picking 1 l, 1 z, and 1 i?
1/408
What is prob of picking 2 q and 1 f when three letters picked without replacement from fqfqgg?
1/10
Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {j: 3, v: 2, r: 1, b: 3, c: 1, q: 2}.
3/110
Two letters picked without replacement from {u: 1, d: 2, k: 1}. What is prob of picking 2 d?
1/6
Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yfyhyygyfyyyfy.
27/364
Four letters picked without replacement from {q: 2, h: 8, n: 3, i: 4}. Give prob of picking 1 h, 1 i, and 2 n.
24/595
Two letters picked without replacement from {w: 4, z: 3}. What is prob of picking 2 z?
1/7
Calculate prob of picking 2 u and 2 m when four letters picked without replacement from {u: 10, m: 9}.
135/323
Two letters picked without replacement from {t: 4, f: 7, w: 5, y: 1, z: 2, e: 1}. What is prob of picking 1 z and 1 y?
1/95
Calculate prob of picking 3 c when three letters picked without replacement from {c: 11, q: 2}.
15/26
Four letters picked without replacement from ofjllofuuolllfof. What is prob of picking 1 o, 1 u, 1 j, and 1 f?
8/455
Two letters picked without replacement from wwwwwmmwwwm. What is prob of picking 2 m?
3/55
What is prob of picking 3 q when three letters picked without replacement from {q: 16, f: 2}?
35/51
Two letters picked without replacement from {f: 1, m: 5, j: 4, w: 1}. What is prob of picking 2 j?
6/55
Calculate prob of picking 4 i when four letters picked without replacement from adeaiaiieadwaia.
1/1365
Two letters picked without replacement from jhwyjrrrpjrhjhr. Give prob of picking 1 w and 1 h.
1/35
Calculate prob of picking 3 j when three letters picked without replacement from {j: 2, m: 10, c: 2}.
0
Calculate prob of picking 1 g and 1 i when two letters picked without replacement from igijjikgkkjijijgj.
15/136
Calculate prob of picking 3 t and 1 l when four letters picked without replacement from {l: 1, t: 7, w: 1, s: 3}.
7/99
Two letters picked without replacement from {e: 5, b: 6, j: 1, f: 1, z: 1}. What is prob of picking 1 j and 1 e?
5/91
Three letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
1
Let q = -1/2433 - 808/7299. Which is the closest to -0.5? (a) 2 (b) q (c) -2/17
c
Let f = -32578.4 - -32578. Let g = -2 + 1. Which is the closest to g? (a) 3 (b) f (c) 1/2
b
Suppose 2*x + 0*x + 5*u - 25 = 0, -3 = -3*u. Let j be (-50)/4500*(-19 + 1). Which is the closest to 0? (a) x (b) 0 (c) 0.5 (d) j
b
Let n = -4323 + 4322.9. Let v = 1.3 + 0.3. Let g = v - -1.4. What is the closest to -1/2 in g, n, 23?
n
Let a = -60 - -102. Let z = -2338 + 2294. Let d = z + a. What is the closest to -0.2 in 0, -1/5, d?
-1/5
Suppose 3*n - 824 = -332. Let i = 327/2 - n. What is the closest to i in 10, -3/2, 2/19?
2/19
Let m = -178 + 145. Which is the closest to -0.1? (a) 5 (b) 0.5 (c) -5 (d) m
b
Let t be 39808/(-86976) - (-12)/27. Let k = -276 + 3034/11. Which is the closest to 2/3? (a) t (b) k (c) -2/5
a
Let m = -4 + 3. Let d = -3354 + 6511/2. Let r = 99 + d. Which is the closest to m? (a) 4 (b) r (c) -2/15
c
Let l = -1697 - -1702. What is the closest to -0.05 in l, 0.1, 0.2, 6?
0.1
Suppose -2*o = -5*f + 19 - 87, -3*f - o = 32. Which is the closest to f? (a) -1 (b) 0.2 (c) -1/4 (d) 4
a
Let c = 501.585 + -502. Let s = -3.585 + c. What is the closest to 1 in s, -0.02, 2?
2
Let w = -20849/46890 + 1/5210. Which is the closest to 0? (a) 217 (b) w (c) -10
b
Let v = -83.412 - -83.5. Let i = 135.512 - 140.6. Let g = v + i. What is the nearest to 0.06 in 1, g, -4?
1
Let z = -0.26924 + -0.03076. Which is the nearest to -3? (a) -2 (b) 0.016 (c) z (d) 5
a
Let s be 2 - 42/4*(-8)/12. Suppose 3*o + 18 = s*o. Let f = 0.1 + 0. What is the nearest to f in o, 3/2, 2?
3/2
Let w be (-166)/(-4)*(-112)/11. Let j = w + 422. Let k = 5.56335 - 5.66335. What is the closest to k in 0, 2, j?
0
Let b = 451 - 449. Let u be ((-3)/5)/(6/(-4)). What is the nearest to 1 in -11, b, -4, u?
u
Let g = -976 + 8782/9. Which is the nearest to g? (a) 3/14 (b) 0.1 (c) 5
b
Let i = 15035.8 - 15036. Which is the nearest to -1? (a) 33 (b) 2 (c) i
c
Let s = -136.87 - -320.1. Let h = 183 - s. What is the closest to h in -0.5, 4, -0.2?
-0.2
Let u = 0.04614 + 3.95386. What is the nearest to 0.1 in 0.44, u, -5?
0.44
Let w = -3/472 + -935/1416. Which is the nearest to -1/2? (a) 2/15 (b) -0.3 (c) w
c
Let z = -0.92 - -26.92. Let n = z - 25.6. Let s = 64/185 - -2/37. What is the closest to s in -4/7, 0, n?
n
Let t = 182 + 8. Let p = t - 197.9. Let u = p - -8. Which is the closest to u? (a) -0.1 (b) 1/2 (c) -0.8
a
Let o = 359.49 + -8.49. Let d = 355 - o. Which is the nearest to 0.3? (a) d (b) -1/2 (c) 3
b
Let k be -1*(-4)/48*20/5. Which is the closest to -0.1? (a) -1 (b) -4 (c) 0.37 (d) k
d
Let v be 2/5 + (-62365)/475. Let y = v + 131. Let z = -2.9509 - 0.0491. Which is the nearest to 0.4? (a) y (b) z (c) -2/9
a
Let g = 374 + -479. Let m be ((-2)/12)/(35/g). Which is the nearest to -1? (a) 1/7 (b) m (c) 4 (d) 1
a
Let c = 16.83 + -16.63. What is the nearest to c in 36, 1/2, 4?
1/2
Let p = -6731 + 6730.932. Which is the closest to 7? (a) -4 (b) p (c) -5
b
Let v = 0.554 - 22.554. Let j be 7/(7/4) - (-2 + 5). What is the closest to v in 0.5, -1/4, j?
-1/4
Let q be -2 + 21/6 - 240/(-160). What is the closest to 0 in q, 5, 2, -2.1?
2
Let a = 1113/1448 - 207/181. Let r = 3.96 - -0.04. Let l = r - 4. What is the closest to l in a, 0.14, 3?
0.14
Let z = 0.1876 + -0.4876. Let h be 6/(-10) - 388/20. Let q = 18 + h. Which is the closest to z? (a) 4 (b) 0.4 (c) q
b
Let w be ((-1)/(-3))/((-12)/(-4500)). Let k = w + -126. Which is the nearest to 0.3? (a) k (b) 5 (c) 3
a
Let k = 224 + -99. Let j = -129 + k. What is the closest to 1/3 in j, -0.1, 0.08?
0.08
Let y be 65/8 + 10 + -10. Let g = -8 + y. Which is the nearest to -1/3? (a) -3/8 (b) -2/15 (c) g
a
Let l = 3 - 5. Let f = -4 + 13. Let x be (-3)/(f/5) - (19 - 21). What is the nearest to x in 1/26, l, 0.4?
0.4
Let l = -16417/67 - -245. Let g = l + 71/134. Let p be (150/225)/(((-32)/6)/(-4)). What is the closest to p in -2/5, g, -0.5?
g
Let v = 5.3 + 1.4. Let k = 35.3 + v. Let z = -41.9 + k. Which is the closest to z? (a) -1/3 (b) -2/15 (c) -1/16
c
Let o = -26.95187 + -0.04813. Which is the closest to -1? (a) o (b) -2 (c) -5/4
c
Let l = -1.7922 + 1.4922. What is the nearest to 2/9 in 23, -2/3, l, -0.4?
l
Suppose 1575*a + 16 = 1571*a. What is the closest to 0 in 200, a, -1/2?
-1/2
Let u = 17468 + -17468.3. Which is the closest to -92? (a) u (b) 0.4 (c) 3/5 (d) 3/7
a
Let j = 1121/3 - 4373/12. What is the nearest to -11 in 0.3, 0.2, j?
0.2
Let f be (113/(0 + -1))/(-1). Let v = 111 - f. What is the nearest to 2 in 2, 1/3, v?
2
Let w = -6 - -5.7. Let p = 9.4 - 8.4. Let x be 225/(-180) + 11/(-4). What is the closest to p in -2/5, w, x?
w
Let y = 104 - 16. Let k be (-4)/5 + (-1)/(-60)*-5182. Let u = k + y. Which is the closest to 0.6? (a) -1 (b) -2 (c) u
c
Let u = -18102 - -18021.026. Let j = u + 81. Let l = -0.111 - -4.111. Which is the closest to 0.1? (a) l (b) 1 (c) j
c
Let j = -23.4 + 23.35. What is the closest to j in -2/7, 0.1, -4?
0.1
Suppose 13*s - 10 = 14*s. Suppose -4*b - 2*a - 44 = -3*a, -5*b - 3*a = 55. Let t be (s - b)/(14/(-4)). What is the closest to t in 2/17, 0.3, 0.5?
2/17
Let f = -95.65 + 1.65. Let z = f + 72.6. Let w = 21 + z. Which is the nearest to -7? (a) 0 (b) w (c) -4
c
Let w = 0.032 - 30.032. Let a = -3574 + 3574.1. What is the closest to 1 in a, 1/2, w, 0?
1/2
Suppose 0 = 334*z + 40*z - 69 - 305. Let n = 0.2 - 0.1. Let q = 2.8 + -3. Which is the closest to n? (a) z (b) -2/3 (c) q
c
Let r = -299.04 + 296. Let o = 3.44 + r. Which is the nearest to 7? (a) o (b) 1 (c) -0.5
b
Let w = 74243/100700 + -18/1325. Let v = -9/19 + w. Which is the nearest to v? (a) 3 (b) -5 (c) -2/7 (d) -2/5
c
Let s = 163 + 107. Let m = 1083/4 - s. Let v = 6.1 - 1.1. Which is the closest to 2/3? (a) 2 (b) v (c) m
c
Let u(p) be the first derivative of 9*p**2/2 - 104*p - 69. Let i be u(11). Let d = 1.5 - 1. Which is the nearest to -2/5? (a) i (b) 2/5 (c) d
b
Let l be 14/(-56)*2/(-5)*8/6. What is the closest to l in -19, 2, -1.3?
-1.3
Let z = 0 + 0.5. Let h = 8132 + -8105. Which is the nearest to h? (a) 0.4 (b) -5/3 (c) z
c
Suppose -31 = -5*t + 9. Suppose 16 = 3*m - t. Let d = -3 - -2.9. Which is the nearest to d? (a) -0.4 (b) -0.3 (c) m
b
Let r be -7 - -17 - (27 - 21). What is the nearest to 15/7 in 0.3, r, 0.5?
0.5
Let r = -0.014 + 44.114. Let w = 44 - r. Which is the nearest to w? (a) 4 (b) 1/3 (c) 5 (d) -2/7
d
Let w be (6/(-8))/((-20)/(-16)). Let g = -71.9 - -51.3. Let p = -21.6 - g. Which is the nearest to 1/13? (a) p (b) 2 (c) w
c
Let z = 24.185 - -0.215. Let v = -24.5 + z. Which is the closest to 0? (a) v (b) 1 (c) 1/5
a
Let u = 312.25 - 468.2. Let s = u + 156. Suppose -25 = 2*o - 27. Which is the closest to 1/3? (a) o (b) 5 (c) s
c
Let v = -0.711 + 0.5. Let m = v + -0.789. Let j be 6*((-2)/4 + 1). Which is the nearest to 2/5? (a) j (b) -5 (c) m
c
Let z = -204 + 203.9. Suppose 0 = -v + 10 - 0. Suppose 2*t - 4 - v = 5*n, -2 = -3*t - 2*n. Which is the nearest to z? (a) -0.3 (b) t (c) -1
a
Let a = 181824 - 181823.5. Let b = -7.03 + 0.03. What is the nearest to 14 in a, b, -0.1?
a
Let o = -13.86 + 14.06. Let s = -18.77 + 2.77. Which is the closest to o? (a) s (b) -1 (c) -4 (d) -5
b
Let d = 4304/455 - 120/13. Let r = d + -59/105. Let q be (-1 + -1 - -3)/(-1). What is the closest to r in 0.4, 3, q?
q
Let l = 3895.9 + -3896. Which is the nearest to 6? (a) l (b) -4/7 (c) 0.5 (d) 0.2
c
Let y(l) = l**3 + 9*l**2 + 2*l + 64. Suppose 67 = -8*z - 5. Let p be y(z). What is the nearest to 2 in 2/3, p, -1/5?
2/3
Let n = 3589 + -3588.9. Which is the nearest to n? (a) -1 (b) -4 (c) -5/11
c
Let j = -358/217 - -60/31. Let g = 2 + -4. What is the nearest to j in 4, -2.5, g?
g
Let l = -71 + 71.5. Let g be ((-24)/16)/(3 - -6). What is the closest to g in -1/5, 1, l?
-1/5
Let v = 1.435 + -1.435. What is the nearest to 0.1 in v, 2/5, -19/4, 2/25?
2/25
Let g = -8.6 - -12.3. Let y = -47092/35313 - -8/35313. Which is the closest to -1/2? (a) y (b) -4 (c) g
a
Let y be 6/(-9 + 3) - 275/(-245). Let l = y - 164/539. Let n be (4/5)/(1/5). Which is the closest to -2? (a) 0.2 (b) l (c) n
b
Let v = -76710 - -76710. Let z = 6 - 5.7. Let s = -0.01 - -0.01. Which is the nea
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 6*y**2 - 3 - y**3 + 4*y + 3*y**3 to d + z*y**3 + u*y + g*y**2 and give d.
-3
Express 40 + 6*o + 30 - 56 in the form x*o + l and give x.
6
Express (23 - 179*h - 23)*(-h**2 - 2*h**2 + 6*h**2) as g*h**3 + r*h + z + l*h**2 and give z.
0
Express 4*d + 17*d**2 + 6 + 14*d**2 + 4 - 12 in the form s*d**2 + h*d + p and give p.
-2
Rearrange -16*n + 162*n + 73*n - 22*n to h + z*n and give z.
197
Express 145 + 45*t + 19 - 43*t in the form w + c*t and give w.
164
Rearrange (14 + 6203*v - 14 + 4396*v - 385*v)*(-3 + 3 + 2*v) to k*v + a + b*v**2 and give b.
20428
Rearrange -4 - 4 - 2*b + 2 + 5 - 3*b**3 to the form h + j*b**2 + w*b + n*b**3 and give n.
-3
Rearrange -9*t**3 + 8*t**2 - 8*t**2 + (-t**2 + 0*t**2 + 2*t**2)*(-3*t + 5*t - t) - 2*t**3 + t**3 + 2*t**3 to u*t + p*t**2 + s*t**3 + f and give s.
-7
Rearrange 3*z**4 + z**2 + 1 + 12*z**3 + 3*z**3 - 9*z**3 - 5*z**4 to the form l*z**2 + m*z + k + x*z**4 + h*z**3 and give h.
6
Rearrange 9 - 38*t**2 + 21*t - 45 - 21*t + 39*t**2 to i + g*t**2 + f*t and give g.
1
Express -7*y**2 - 141*y + 143*y - 27*y**4 + 35*y**4 in the form l + f*y + j*y**4 + o*y**3 + d*y**2 and give d.
-7
Express (6 - 3 + 0)*(o + 4*o - 3*o)*(-34*o**3 - 17*o**3 + 49*o**3 - 4*o) in the form l*o**4 + y*o**3 + z*o**2 + m*o + j and give z.
-24
Rearrange 1620*o + 14 - 3243*o + 1621*o to the form d + u*o and give d.
14
Express (-23*o - 28*o + 0*o)*(2*o**2 - 66 - 6*o**2 + 2*o + 65) + 2 - 2 + o**3 in the form n*o + x*o**2 + c*o**3 + y and give c.
205
Express (4*o**2 + 0*o**2 + 0*o**2 + (-2 + 1 + 4)*(1 + o**2 - 1) + 1 - 1 - o**2)*(0 - 1 + 4) as w*o**2 + g + l*o and give w.
18
Rearrange -12*j**2 - 7*j + 5*j**3 - 3*j**3 - 19*j**2 + 4*j to p*j**3 + v + g*j**2 + m*j and give g.
-31
Rearrange 0*c + 7*c**4 + 15*c**2 - 19*c**4 - 2 - 5 + c + 11*c**4 to the form t*c**2 + l*c**4 + y*c**3 + z + a*c and give t.
15
Rearrange -1 - 18*o**2 + 14*o**4 - 33*o - 8*o**4 - 4 + 35*o to n*o**2 + p*o**3 + c*o + q*o**4 + t and give t.
-5
Express (-54 + 54 + 31*c)*(-1 - 10 + 1) in the form x*c + b and give b.
0
Rearrange -32*u + 10 - 11 + 12 + 11 to t*u + b and give b.
22
Rearrange (6*q - 3*q + 4*q)*(44*q**2 - 15*q**2 + 19*q**2) + (-3*q + 3*q + q)*(-2*q**2 + 1 - 1) to the form c*q**3 + o*q**2 + h*q + d and give d.
0
Express (3*h**2 + 0*h**2 - h**2)*(33*h + 16*h - 51*h + 122) as b*h + q*h**2 + g*h**3 + a and give g.
-4
Express 11 - 2*b + 5 - 133*b**3 + 6 - 22 in the form r + v*b**2 + g*b + o*b**3 and give o.
-133
Express 2 - 13*k**2 - 4 + 538*k**2 as d + l*k**2 + w*k and give l.
525
Rearrange -6 - 181*n**3 - 181*n**3 - 4*n + n**2 + 369*n**3 - 3*n**2 - 2 - n**4 to the form j + y*n + b*n**4 + d*n**2 + i*n**3 and give b.
-1
Rearrange 40*f + 3*f + 55*f - 120 + 122 - 24*f to p + x*f and give p.
2
Express j**2 - 2 - j + 3*j - 8*j + 7*j - 3*j**3 in the form k + m*j + a*j**2 + d*j**3 and give d.
-3
Express 201404*y - 456*y**3 - 2*y**2 - 201404*y as f*y + z*y**2 + d*y**3 + b and give f.
0
Rearrange (-1 - 1 + 1)*(-1 + 1 - 2*t) + (-3*t + t + t)*(88 - 236 - 353) to the form k + v*t and give v.
503
Express -25*w - 3*w**2 + 1245*w**3 - 4 - 1247*w**3 + 3 in the form p + b*w + s*w**2 + y*w**3 and give b.
-25
Rearrange 13*d**2 - 40*d**2 + 26*d**2 - 5*d**4 + 2*d - 2*d - 4*d**3 + 2*d to j + h*d**4 + l*d**2 + g*d + t*d**3 and give t.
-4
Express -40*m + 13*m**2 + 3*m**3 - 13*m**2 - 9*m**3 - 2*m**4 + 28*m as q*m + s + v*m**2 + u*m**3 + f*m**4 and give s.
0
Rearrange 10 - g**3 + 62 + 2*g**2 - 37 + 2*g**3 to t + o*g + p*g**2 + c*g**3 and give o.
0
Express ((3 + 0 - 1)*(2 + 5*q - 2) - q + 3*q - 3*q - 2*q + 1 - 1)*(-4*q + 16 - 16 + (0 + 0 - 1)*(-4*q + 4*q + 2*q) - 2 + q + 2) as m + w*q**2 + u*q and give w.
-35
Express 60*j - 51*j**2 + j**3 + j**4 + 2*j**3 - 41*j - 20*j as i*j + c*j**2 + m*j**3 + o + p*j**4 and give c.
-51
Express -14 + 5*p**2 + 56 - 15 - 21 as n*p + l*p**2 + m and give l.
5
Rearrange -13 + 7 - 2*o - 14 - 27 to the form g + b*o and give b.
-2
Rearrange -69*x + 32*x + 30*x - 2*x**4 + 0*x**2 - 2*x**2 + 2 - 2*x**3 to the form o*x**4 + w*x**3 + n*x + g + v*x**2 and give n.
-7
Express -18*m**3 + m**2 + 6*m**3 + 7*m**3 + 22 + 7*m**3 as j + l*m**2 + k*m + g*m**3 and give l.
1
Express (-2 + 0 + 3)*(-2*i + 2 - 2) + 1322*i - 1230*i + 2023*i + (3 - 3 - 2*i)*(1 - 3 + 4) as l*i + z and give z.
0
Rearrange (-3 + 6 + 0)*(28*k + 0*k**2 - k**2 - 30*k) + (-4*k - 4*k + 4*k)*(-2*k - k + 2*k) to the form c*k**2 + y + v*k and give c.
1
Express (7*p + 3*p - 6*p - 3*p + 9*p + 5*p - p + p - p + (-2 + 2 - 2)*(3*p - 3*p + p) + 4*p + p - 3*p)*(-1 - 2*p + 1) in the form m*p**2 + j*p + d and give m.
-28
Express -2*r**3 + 2*r**2 + 78 + 3*r - 4*r**4 - 2*r + r - 79 as j*r + s + q*r**2 + t*r**4 + z*r**3 and give j.
2
Express -5*k + 4*k + 3*k + (-2 - 2 + 5)*(-2 - k + 2) + 2*k + 0 + 0 + (1 - 4 + 5)*(3*k - 4*k - k) - 5*k + 5*k + 3*k + 4*k - 4*k + k as q*k + u and give q.
3
Express -q**3 + 13 - 2*q - 33 + q**2 + 13 + 4*q + 19 as o*q**3 + a + s*q + d*q**2 and give s.
2
Rearrange ((-m - 3*m + 3*m)*(4 - 3 + 2) + m + 4*m - m)*(-6*m + 3*m**2 - 271 + 271) to the form h*m**2 + o + l*m + j*m**3 and give j.
3
Express 3 - 7612*z - 3*z**4 + 7610*z - 5*z**2 + 0 as n*z**4 + g + q*z**2 + w*z**3 + t*z and give g.
3
Rearrange -14*h - 798 + 17*h - h to i + p*h and give i.
-798
Rearrange 1538 + 377*t - 975*t - 772 - 766 to the form b*t + g and give b.
-598
Express -133*f + 125*f + 263*f + 233*f - 44*f in the form o*f + b and give o.
444
Express -2 + 4313*c**2 + 4318*c**2 - 8616*c**2 - 9*c**3 in the form w*c + y*c**3 + l*c**2 + d and give y.
-9
Rearrange (0 + 0 - 2)*(1 + 0 + 1)*(-m + 23*m - 3*m)*(-2*m + 0*m + 7*m) to the form a*m + c + u*m**2 and give u.
-380
Rearrange (-c - 2*c + c)*(2*c + c - 4*c + (0*c - 2*c + c)*(-2 - 2 - 9)) + 6*c + 7*c**2 - 6*c to d*c + m*c**2 + u and give m.
-17
Express (58*z + 1331*z + 465*z + 2*z - z + z + (2 - 2 + 1)*(2*z + 0*z - 3*z))*(-z**2 + 2*z - 2*z) as h*z + i*z**3 + a + o*z**2 and give i.
-1855
Rearrange 623*a - 988*a + 631*a to the form w*a + u and give u.
0
Express 0*j - 11*j + 7*j - 17*j + 8 in the form c + q*j and give q.
-21
Rearrange 5*j**3 - 206 + 161 - 4*j**3 to the form q*j + a*j**3 + c*j**2 + m and give a.
1
Rearrange 2*p + 5*p**2 + 65*p**4 - 34*p**4 - 33*p**4 - p**3 - 15 + 14 - 2*p**2 to the form o*p + a*p**3 + y + s*p**2 + l*p**4 and give a.
-1
Rearrange -116 + 2*r**3 + 3*r - 2*r + 130 + 2*r**2 to d + l*r**2 + q*r**3 + g*r and give g.
1
Express 27*x + 2*x**3 - 99*x - 2*x**2 + 73*x - 7 as b + g*x**2 + c*x**3 + w*x and give b.
-7
Express -143*w**2 + 1101*w - 1101*w + 2*w**2 - w + w + (3 + w**2 - 3)*(-1 + 3 - 4) + 0*w**2 + w**2 - 3*w**2 as n*w**2 + g + j*w and give n.
-145
Rearrange -1 - 47*l**3 - 3*l**2 + 16*l**2 + 48*l**3 to the form b + q*l**2 + a*l + m*l**3 and give b.
-1
Express 373*j**2 + 1199*j**2 - 197*j**2 - 19*j**2 in the form f*j**2 + a*j + s and give f.
1356
Express -53*c**2 - 6*c + 6*c - 47*c**2 as j*c**2 + g*c + i and give j.
-100
Rearrange -403*d**3 - 2*d + 403*d**3 + 241*d**4 - d**4 + 0*d + 0*d + (-4*d**4 + d**4 + d**4)*(1 - 2 - 1) to o*d**2 + m*d**4 + x*d + q + h*d**3 and give q.
0
Express 46*l - 98*l + 50*l + 385 as t + f*l and give f.
-2
Rearrange (-1 + 2 + 0)*(-118*d - 138*d - 135*d + 389*d + 4983) to m*d + l and give m.
-2
Express -2*q**2 + 3*q**2 + 0*q**2 + ((q - q - q)*(-7 + 4 + 1) - 4*q + 0*q + 6*q)*(-3*q + 0 - 3 + 4*q) as i*q**2 + k*q + z and give k.
-12
Express -2*r - 1005*r**3 + 3 + 3 + 0*r - 2 + 1110*r**3 in the form o*r**2 + s*r + y*r**3 + i and give y.
105
Express 2373*h - 1187*h - 442 - 1184*h + (3 + 1 + 0)*(1 - 1 + h) in the form u + j*h and give u.
-442
Express -113*f + 293*f + 33*f as a*f + t and give a.
213
Rearrange -152 + 34*i - 14*i + 41 - 9*i - 9*i to the form r + p*i and give r.
-111
Rearrange 40 + 30 - 17*y - 73 + 45 to j*y + x and give j.
-17
Rearrange (-22*w + 5*w - 26*w)*(6*w + 34*w - w) to b*w**2 + x + f*w and give b.
-1677
Express -835*r**2 - 209*r**2 + 18 - 18 as n*r**2 + c + a*r and give n.
-1044
Rearrange (-1724 + 1724*g + 1724)*(0*g - 2*g + 0*g) to m + q*g + y*g**2 and give y.
-3448
Rearrange (29 - 29 - 71*x)*(0*x**2 - 5*x**2 - x**2) to m*x + j + z*x**2 + n*x**3 and give m.
0
Rearrange (1 + 2*z**2 - 1)*(-1133*z - 1163*z + 2537*z) + 2*z**3 - 2 + 2 to the form c*z + v*z**3 + n*z**2 + h and give v.
484
Rearrange 7*v**4 + v - v + (-v**2 + 2*v**2 - 2*v
|
{
"pile_set_name": "DM Mathematics"
}
|
*q - b, 5*w - 2*q - 14 = w. Let s(y) = 3*y - 3*y - y**w - y**2. Calculate f(s(x)).
4*x**2
Let h(u) be the first derivative of -u**5/12 + 2*u**3/3 + 4. Let r(s) be the third derivative of h(s). Let y(p) = 4*p**2 + 0*p**2 - 3*p**2. Determine y(r(w)).
100*w**2
Let i(j) = -115215*j. Let y(w) = -w**2. Determine i(y(z)).
115215*z**2
Let x(y) = 7*y. Let z(k) be the third derivative of -1/8*k**4 + 0*k + 0 + 0*k**3 + 16*k**2. Determine z(x(b)).
-21*b
Let t(u) = u. Let b(z) = 3*z. Let l(k) = 2*b(k) - 5*t(k). Let x(m) = 15*m. Let w(h) = 6*l(h) - x(h). Let q(r) = -6*r. Determine q(w(f)).
54*f
Let g(f) = -14*f. Let h(t) be the first derivative of -t**3/3 - 7*t + 11. Let d(n) be the first derivative of h(n). What is d(g(o))?
28*o
Let w(v) = -3*v**2. Let y(b) = 56*b**2. Let x(l) = 42*w(l) - 3*y(l). Let k(q) = 3*q. Calculate x(k(g)).
-2646*g**2
Let v(c) = 2*c. Let k(p) be the first derivative of p**3 + 116. Calculate k(v(n)).
12*n**2
Let l(k) be the first derivative of -5*k**2/2 - 616. Let m(r) = r**2. Calculate l(m(n)).
-5*n**2
Let z(b) = -33156*b. Let t(p) = -4*p. Determine t(z(k)).
132624*k
Let h(j) be the second derivative of -j**3/3 - 102*j. Let a(x) = -x**2 - 7*x. Let z(k) = k. Let u(s) = 6*a(s) + 42*z(s). Give u(h(i)).
-24*i**2
Let g(r) = -r**2 - 16*r + 3*r**2 + 16*r. Let j = -3 - -7. Let l(w) = 4*w**2 - 4 + j - 6*w**2. Determine l(g(v)).
-8*v**4
Let s(y) = 3*y**2. Let k(f) = 1217194*f. What is s(k(r))?
4444683700908*r**2
Let n(m) = 4*m**2 + 6*m + 6. Let u(a) = 7*a**2 + 10*a + 10. Let f(g) = 5*n(g) - 3*u(g). Let l(z) = 15*z. Determine l(f(r)).
-15*r**2
Let a(k) = 2*k - 11. Let y be a(9). Let r(x) = -13*x**2 + 7*x. Let j(c) = -4*c**2 + 2*c. Let z(h) = y*j(h) - 2*r(h). Let v(g) = -13*g**2. What is v(z(t))?
-52*t**4
Let w(x) = -x + 41. Let y(b) = -35*b**2 + b - 23. Give w(y(g)).
35*g**2 - g + 64
Let k(y) be the second derivative of -10*y**3/3 + 3*y + 19. Let p(x) be the third derivative of -x**5/20 + 4*x**2. Calculate p(k(z)).
-1200*z**2
Let f(d) = 3*d**2. Let i(q) = -825546*q. What is i(f(a))?
-2476638*a**2
Let b(g) = -g. Suppose -5*y - 5*c - 27 = 3, 3*c = -2*y - 13. Let i(x) = x. Let h(z) = y*b(z) - 4*i(z). Let f(d) = -36*d. Determine h(f(m)).
-36*m
Let n(q) = 3*q. Let l(o) = -5*o**2 + 9*o - 9. Let m(x) = -x**2 + 2*x - 2. Let z(a) = -a**2 - 7*a. Let s be z(-9). Let b(c) = s*m(c) + 4*l(c). What is n(b(g))?
-6*g**2
Let p(k) = -5*k. Let q(n) = -3*n. Let b(i) = -4*p(i) + 7*q(i). Let o(a) = 28*a + 5. Let h(g) = -29*g - 6. Let f(v) = -5*h(v) - 6*o(v). Give f(b(j)).
23*j
Let n(d) = 7*d - 3 - 10*d + 3. Let s(f) = 14*f. Give n(s(i)).
-42*i
Let q(o) = -73*o + 7 - 8*o + 83*o. Let s(h) = -11*h. Determine s(q(d)).
-22*d - 77
Let s(y) = 16*y + 3. Let x(f) = -147*f**2 - 12*f - 3. Give s(x(w)).
-2352*w**2 - 192*w - 45
Let n(m) be the third derivative of -m**5/60 - 181*m**2. Let f(z) = 2*z - 73. Determine f(n(g)).
-2*g**2 - 73
Let h(q) = 20*q. Let v(l) = l**2 + 328. Give h(v(k)).
20*k**2 + 6560
Let b(v) = 6*v. Let l(h) be the second derivative of 3*h**3/2 - h**2/2 + 211*h. What is b(l(r))?
54*r - 6
Let n(t) = t**2. Let s(d) be the first derivative of -d**6/40 + 9*d**3 - 4. Let g(h) be the third derivative of s(h). Calculate g(n(z)).
-9*z**4
Let l(x) = 9*x**2. Let t be ((-8)/(5 + -1))/2. Let m be 1*(-1 - 3/t). Let q(d) = d + d + m*d - 2*d. Give l(q(f)).
36*f**2
Let h(k) = -2*k. Let u(t) = 597*t - 57. What is h(u(b))?
-1194*b + 114
Let q(c) = 521*c**2 + 42. Let r(o) = -2*o**2. Determine q(r(t)).
2084*t**4 + 42
Let u(t) = -5*t. Let m be 5 - ((-2)/2)/(-1). Let k be (360/(-25))/(-18) + (-22)/(-10). Let d(f) = k*f + m*f + 8*f - 17*f. Determine d(u(c)).
10*c
Let s(j) = -4*j. Let d(v) = 7248*v. Calculate s(d(y)).
-28992*y
Let p(q) = q. Let r(u) = 97*u. Let s(f) = -289*f. Let c(l) = 17*r(l) + 6*s(l). Calculate p(c(j)).
-85*j
Let n(l) = 539*l**2. Let d(g) = 151*g. What is n(d(u))?
12289739*u**2
Let w(f) = -1520 - f**2 + 1520. Let q(d) be the third derivative of d**5/120 - d**3/3 + 2*d**2. Let n(j) be the first derivative of q(j). Give w(n(y)).
-y**2
Let y(z) = -3*z**2. Let d(j) be the third derivative of -j**4/4 - 211*j**2. What is y(d(f))?
-108*f**2
Let t(h) = -9929*h - 1. Let n(a) = 3*a**2 + 24. What is n(t(l))?
295755123*l**2 + 59574*l + 27
Let b(g) = 11*g. Let t(y) = 77*y. Let f(w) = -22*b(w) + 3*t(w). Let d(x) = x**2. Give f(d(o)).
-11*o**2
Let s(m) be the first derivative of 2*m**3/3 + 16. Let i(f) = -3*f + 1. Calculate i(s(a)).
-6*a**2 + 1
Let z(p) = -4*p**2 + 2. Let f(h) be the second derivative of -17*h**4/12 + 9*h**2/2 + 2*h. Let v(m) = -4*f(m) + 18*z(m). Let b(j) = -5*j**2. What is v(b(i))?
-100*i**4
Let c(k) = 301 - 151 - 4*k**2 + k**2 - 150. Let o(i) = -351*i**2. What is c(o(l))?
-369603*l**4
Let x(s) be the third derivative of -s**5/60 - 215*s**2. Let n(j) be the first derivative of -14*j**2 - 1. Calculate n(x(a)).
28*a**2
Let b(d) = 26*d**2. Let z(m) be the first derivative of 5*m**3/3 - 13. What is b(z(i))?
650*i**4
Let p(d) = -7*d - 3. Let v(y) = 23*y + 4. Let f(h) = 28*h + 5. Let b(m) = 4*f(m) - 5*v(m). Give p(b(n)).
21*n - 3
Let g(z) be the second derivative of -7*z**3 + 20*z. Let q(f) = -7*f. Let l(h) = -6*g(h) + 35*q(h). Let o(k) = 2*k. Determine l(o(x)).
14*x
Let v(z) = 1043*z. Let b(x) = -814*x**2. Determine v(b(q)).
-849002*q**2
Let g(i) be the first derivative of 1/2*i**2 + 0*i - 1. Let p(f) be the first derivative of 5*f**3 - 11. Calculate p(g(k)).
15*k**2
Let g(n) = -48*n**2. Let h(k) = -k**2. Let d(v) = 2*g(v) - 80*h(v). Let m be (-6)/(-8)*34*2. Let i(r) = m*r - 102*r + 49*r. Determine i(d(a)).
32*a**2
Let r(u) = 7*u. Let g(v) be the first derivative of 3 - 1/6*v**4 + 0*v**2 + 0*v**3 + 2*v. Let y(i) be the first derivative of g(i). Determine y(r(t)).
-98*t**2
Let f(j) be the second derivative of 2*j**3/3 + 42*j + 2. Let r(y) be the first derivative of 8*y**3/3 - 1. Calculate f(r(w)).
32*w**2
Let s(y) = -y**2 - y. Let j(p) = 3*p**2 + 11*p. Let q(l) = 2*j(l) + 22*s(l). Let z(h) = 9553*h - 3*h**2 - 9553*h. What is q(z(a))?
-144*a**4
Let w(m) = -2*m**2. Suppose -11*a + 2*a + 99 = 0. Let x(n) = -a*n - 15 + 36 - 20. Determine w(x(o)).
-242*o**2 + 44*o - 2
Let o(f) = 9*f**2 - 5*f + 5. Let y(g) = g**2 - g + 1. Let x = -46 - -41. Let n(q) = x*y(q) + o(q). Let m(k) = -2*k**2. Determine m(n(h)).
-32*h**4
Let w(r) be the first derivative of 85*r**2/2 - 21. Let y(s) = -3*s. Give y(w(d)).
-255*d
Let l(r) = 222*r**2 + 5. Let q(d) = -d + 53. What is q(l(x))?
-222*x**2 + 48
Let s(q) = -2*q**2 - 8*q. Let g(p) = 2*p**2 + 6*p. Let n(w) = -4*g(w) - 3*s(w). Let t(y) = 66*y - 2. What is t(n(r))?
-132*r**2 - 2
Let k(p) = 39*p**2. Let c(d) be the first derivative of -55 + 0*d**2 + 0*d - 1/3*d**3. Determine k(c(s)).
39*s**4
Let c(v) = 109*v**2. Let s(w) be the third derivative of -w**5/20 - 2*w**2 + 228*w. Give c(s(o)).
981*o**4
Let k(l) = -4*l + 6. Let n(v) = 105*v - 154. Let y(s) = -77*k(s) - 3*n(s). Suppose 0 = -2*d + 5 + 3. Let j(t) = -2*t - d*t + 3*t + 6*t. Give y(j(u)).
-21*u
Let h(f) = 876*f - 1. Let x(w) = 20*w - 4. Give x(h(b)).
17520*b - 24
Let g(o) = -2*o**2. Let m(x) = 5*x - 9. Let s(h) = 2*h - 3. Let b(t) = 4*m(t) - 14*s(t). Let l(a) = a - 1. Let v(d) = -b(d) - 6*l(d). What is g(v(k))?
-8*k**2
Let n(p) be the third derivative of -p**5/20 - 1487*p**2. Suppose -3*j + 4 - 3 = 5*m, 3*j - 3 = -3*m. Let l(g) = 6*g**j - 1 + 1. What is l(n(i))?
54*i**4
Let h(k) = 15*k - 6. Let a(d) = 135*d - 55. Let n(p) = 6*a(p) - 55*h(p). Let w(r) = 2*r. What is n(w(f))?
-30*f
Suppose 0 = 4*q + 5*o - 17, 7*o - 2*o = -3*q + 14. Let f(a) = -16 + 8 + 8 - q*a. Let h(v) = -35*v**2. Calculate f(h(w)).
105*w**2
Suppose -20 = -4*a - a. Suppose 0 = -2*x - 3*x - 4*o + 44, -4*x + 36 = a*o. Let v(t) = 0*t - 2*t - 4*t + x*t. Let h(k) = 3*k. Give v(h(l)).
6*l
Let t(v) = -41*v**2 + 74*v**2 - 23*v**2. Let l(m) be the second derivative of m**3/2 - 4*m. Determine l(t(y)).
30*y**2
Let g(u) = -23*u**2 + 4*u + 4. Let d(p) = -23*p**2 + 5*p + 5. Let c(v) = -4*d(v) + 5*g(v). Let y(h) = -6*h**2. Calculate c(y(i)).
-828*i**4
Let x(a) = 46*a. Let i(k) be the third derivative of 0*k**3 - 1/20*k**5 + 0*k**4 + 23*k**2 + 0*k + 0. Calculate i(x(s)).
-6348*s**2
Let z(x) = 40*x. Let v(m) = -5*m**2 + 3*m - 15. Let u(l) = -3*l**2 + 2*l - 10. Let y(p) = 3*u(p) - 2*v(p). What is y(z(o))?
1600*o**2
Let a(p) = 72*p**2. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the highest common factor of 20 and v.
5
Let i = -2 - -77. What is the highest common factor of 30 and i?
15
Let t = -7 - -13. Calculate the greatest common factor of t and 10.
2
Let w = -89 + 34. Let q be (-4)/(-5)*w/(-2). What is the greatest common factor of q and 33?
11
Suppose 0*u + 133 = u. Let g(v) = -2 - 5*v + 3*v + 5. Let m be g(-8). Calculate the greatest common divisor of m and u.
19
Suppose -8*b + b = -637. Calculate the greatest common divisor of b and 13.
13
Suppose -5*f + 0*f + 65 = 0. What is the greatest common factor of 117 and f?
13
Let d = -15 - -17. Suppose -4*x + x - 5*o + 52 = 0, -d*x + 13 = -o. What is the greatest common divisor of x and 81?
9
Let p = -26 + 71. Suppose 0 = 13*x - 10*x - 6. Let b(j) = 8*j + 2. Let y be b(x). What is the greatest common divisor of y and p?
9
Let r(g) = -g**3 + 4*g**2 + 4*g - 5. Let o be r(5). Let f = o + 14. Calculate the greatest common divisor of f and 6.
2
Suppose 5*s - 40 = -2*x, 3*s - 20 = -8. Suppose -3*u = -3*m + m + 125, 0 = 2*m + 5*u - 165. Calculate the greatest common factor of x and m.
10
Let z be 3 + -2 - 1 - -88. Suppose 2*k = 3*k - 3*q - 23, -3*k + q = -37. What is the highest common factor of z and k?
11
Suppose -v + 72 = 3*v. Let z(s) = 2*s**2 - 28*s + 18. Let q be z(18). What is the greatest common factor of v and q?
18
Suppose 3*u - 7 = b, -2*u - 1 = -2*b - 3. What is the highest common factor of u and 9?
3
Let z(p) = p**2 + 7. Let g be z(9). Calculate the highest common factor of g and 22.
22
Let o = -27 + 45. What is the highest common factor of o and 45?
9
Suppose 5*t = -f - 14, -28 = 2*t + 2*t + 5*f. Let x be (1 - 1/2)*t. Let d = 8 - x. What is the greatest common factor of 9 and d?
9
Let m = -31 - -5. Let z = m + 37. Calculate the highest common divisor of 1 and z.
1
Suppose 0 = w - 0*w + 4*l - 18, -5*l = 5*w - 60. Calculate the greatest common divisor of w and 4.
2
Suppose 34*v - 688 = 332. Suppose 5*u = -3*r + 1653, u + 2*r - 328 = 4*r. What is the greatest common divisor of v and u?
30
Let m be (-1254)/(-14) - (-18)/42. Calculate the greatest common divisor of 30 and m.
30
Let a(r) = r**3 - 2*r**2 + 2*r - 2. Let k be a(3). Let f = k + -6. Let i = f + 0. What is the highest common divisor of 35 and i?
7
Let h = 7 - 5. Suppose -11 = 2*d + 2*c + 3*c, -3*d + 5*c + 21 = 0. What is the highest common factor of d and h?
2
Let s(q) be the second derivative of q**5/20 + q**3/6 + 7*q**2/2 - 3*q. Let l be s(0). Calculate the highest common factor of l and 21.
7
Let o(w) = w**3 + 5*w**2 - w - 12. Let d be o(-4). Calculate the greatest common divisor of 8 and d.
8
Suppose -5*f = -0*f. Suppose f*v - v + 36 = 0. Calculate the highest common divisor of 24 and v.
12
Let q = -7 - -17. What is the greatest common factor of 110 and q?
10
Let b be 8/(-4) + -2 - -25. Calculate the greatest common divisor of 3 and b.
3
Let y = 6 + -4. Suppose y*a - 6 = a. Let t(x) = x**3 - 6*x**2 + 2*x - 3. Let l be t(a). Calculate the greatest common factor of l and 18.
9
Suppose -n - h - 8 = -59, 0 = -4*n + 2*h + 222. Calculate the highest common factor of 6 and n.
6
Let q(r) = 21*r**2 - r. Let u be q(-1). Let p = 2 + 0. What is the greatest common divisor of p and u?
2
Suppose 3*l + 23 = -y, -2*l - 3*l = -3*y - 13. Let v = 6 - y. Let f = 1 + v. Calculate the greatest common divisor of 144 and f.
18
Let v be -2 - (2 + -2) - -40. Calculate the greatest common divisor of v and 95.
19
Let d be -1 + 2 + (1 - -3). Let k(z) = z**2 - 1. Let q be k(-4). Calculate the highest common divisor of q and d.
5
Suppose 5*k + 58 = 4*q - 0, -3*k + 74 = 4*q. Let p = -72 + 276. Suppose -r = r - p. Calculate the highest common divisor of r and q.
17
Suppose r - 224 = -r - 4*p, 2*r + 2*p = 232. What is the highest common factor of r and 15?
15
Let y be 10 + (-7)/(21/6). What is the highest common divisor of y and 32?
8
Let j = -20 - -55. Calculate the greatest common divisor of j and 35.
35
Let s(h) = -55*h**3 + h**2 - h - 2. Let d be s(-1). What is the greatest common factor of 22 and d?
11
Suppose -4*n + 31 = 2*h + n, -5*n - 25 = 0. Calculate the greatest common divisor of 70 and h.
14
Let n be 0/((0 - 0) + -1). Suppose v + 1 - 5 = n. Let i be (1 - v)/((-9)/6). What is the highest common divisor of 8 and i?
2
Let x(m) = -m - 1. Let c be x(2). Let q be 483/9 - 1/c. Calculate the greatest common factor of 18 and q.
18
Let n be ((-60)/15)/(12/(-9)). Let s = -42 + 66. Calculate the highest common factor of s and n.
3
Let k be (-40)/(-16) + 1/(-2). What is the greatest common factor of 6 and k?
2
Let f = -8 + 11. Let d(k) = 2*k**2 - k + 3. Let v be d(f). Calculate the greatest common factor of v and 27.
9
Suppose 4*u - 974 + 50 = 0. Suppose -11*o + 14*o = 63. What is the highest common factor of u and o?
21
Let c = 3 - -7. What is the greatest common divisor of c and 5?
5
Let z be 4 + (3 - (2 - 0)). Suppose -6*d + 90 = 5*b - d, -z*b + 118 = -2*d. Calculate the greatest common divisor of 55 and b.
11
Let k = 23 - 13. Let a(p) = -p - 2. Let m be a(-4). Calculate the greatest common factor of m and k.
2
Let o(k) = -k**2 + 8*k - 6. Let r(a) = -2*a**2 + 3*a**2 + a**3 + 3*a**2 + a. Let m be r(-3). Let f be o(m). Calculate the greatest common factor of f and 6.
6
Let l = 7 - 7. Suppose l = g + g - 2. Calculate the greatest common factor of 7 and g.
1
Suppose -2*q + 2020 = 5*t, 4*t - 792 = 2*t - 4*q. What is the highest common factor of t and 58?
58
Let t(w) = 3*w**2 + 3*w**2 + 0*w**2 + 5*w - 3*w**2. Let v be t(5). Suppose 21 = 2*i + 1. What is the greatest common factor of v and i?
10
Let g = 2 + 0. Suppose -2*k = 4*s, 0*k - 5*k = g*s. Suppose -h - 3*h + 168 = k. Calculate the greatest common factor of h and 28.
14
Suppose -y + 5*k + 7 = 3*k, 5*k = -10. Calculate the highest common factor of 33 and y.
3
Let h(s) be the first derivative of 11*s**3/3 - s**2/2 - s - 3. Let w be h(-1). Let a be 1095/9 + 2/(-3). Calculate the greatest common factor of a and w.
11
Let o = -69 - -9. Let d = -36 - o. What is the highest common factor of 16 and d?
8
Let i be (2/3)/(10/90). Calculate the greatest common divisor of i and 12.
6
Let z(u) = 9*u**2 + u + 2. Let o be z(-2). Suppose 0 = -g - 3*g + o. Let q be (-3)/(-12) + 35/4. What is the greatest common divisor of q and g?
9
Suppose -4*s - 7*s + 110 = 0. Calculate the highest common factor of s and 30.
10
Let g(v) = 2*v. Let l be g(1). Suppose -1 = 3*h - 22. Let j = h - l. Calculate the highest common divisor of j and 15.
5
Let d(v) = v**3 - 5*v**2 + v - 1. Let m = 12 - 7. Let u be d(m). What is the highest common factor of 44 and u?
4
Suppose -27 - 181 = -4*i. Calculate the highest common divisor of i and 78.
26
Suppose -2*v + 3*v = 4. Suppose c + 3*n - 145 = 25, -2*n - 638 = -v*c. What is the greatest common factor of c and 23?
23
Let f = -62 + 104. Calculate the greatest common divisor of f and 6.
6
Let g(r) = 10*r + 5. Let v be g(4). Suppose -3*c = -10 + 1. Suppose -2*w - c*w + 75 = 0. Calculate the greatest common divisor of v and w.
15
Let m = 84 - 12. What is the greatest common divisor of 8 and m?
8
Suppose -u + 0*w - 13 = -2*w, 0 = u - 3*w + 9. Suppose -5*y - 43 = 152. Let f = u - y. What is the highest common factor of f and 108?
18
Let y be (-1)/(-5) + (3 - (-5)/(-25)). Calculate the highest common factor of 27 and y.
3
Suppose -3*n + 20 + 7 = 0. What is the highest common factor of n and 45?
9
Let t(c) = c**2 + 5*c - 8. Let q be t(-6). Let w be 32/6*3/q. Let l be (w/6)/(2/(-9)). Calculate the highest common factor of 42 and l.
6
Let u be 4/18 - 4341/(-27). What is the greatest common factor of u and 23?
23
Suppose -a + 41 = -q, 6 + 14 = -5*q. What is the highest common factor of 185 and a?
37
Let d(u) = u**2 - u + 24. Let l be d(0). Let w(v) = -2*v**2 + 6 - 5*v**3 - 1 + 3*v - v**3 - 3. Let a be w(-2). Calculate the greatest common factor of l and a.
12
Suppose -y = 2*f - 23, -5*f = 5*y - 70 - 0. Suppose -3*z + 168 = -21. Calculate the highest common factor of f and z.
9
Let l be ((-3)/6)/(2/(-4)). Let q = -1 + l. Suppose 0*m + 4*m - 8 = q. What is the highest common divisor of m and 6?
2
Let k(a) = 329*a**3 + 3*a - 2. Let s be k(1). What is the highest common divisor of 30 and s?
30
Suppose -r + 0*r - 9 = -4*u, 3*u = 6. Let m be (1 - r)*(-5)/(-2). Calculate the greates
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 7*p**2 - 10*p - 4. Let v(w) = 5*g(w) - 2*z(w). Is 7 a factor of v(-6)?
False
Let z(l) = -6*l**2 + 8*l - 3. Let o(d) = d**2 + d + 1. Let w(k) = -5*o(k) - z(k). Does 3 divide w(14)?
True
Let u = -7 + 15. Is 7 a factor of u?
False
Let s(d) = 2*d**2 - 7*d - 1. Let g(x) = -x + 2. Let r be g(2). Let h = r - -5. Is 14 a factor of s(h)?
True
Let u(b) = -b**3 + 8*b**2 + 3*b + 8. Let f be u(8). Let m be f/(-12)*(-6 + 0). Suppose z - 3*z = -m. Is z a multiple of 8?
True
Suppose c - 4*o = -37, 3*o = -c - 51 - 0. Let q = 18 - c. Is q a multiple of 21?
True
Let w(c) be the third derivative of -1/2*c**3 + 0 + 1/60*c**6 - 1/60*c**5 + 1/8*c**4 + c**2 + 0*c. Does 13 divide w(2)?
False
Let m be 0 + 2 + (-4 - -6). Suppose -m*k + 2*h + 16 = 0, -3*h = -3*k + 2*k + 4. Suppose k*i - 36 = 44. Is i a multiple of 10?
True
Let c = 6 + -7. Is 3 - (-19 + (-3)/c) a multiple of 7?
False
Let y = 314 + -206. Is 9 a factor of y?
True
Let p(v) = v + 1. Let y be p(1). Let b = y + -6. Is 54/(-1)*2/b a multiple of 11?
False
Let g(l) = -l - 6. Let w be g(-5). Let c = -4 - -5. Is 10 a factor of 20 + c + (1 - w)?
False
Suppose g + 21 = -2*a + 76, 0 = -3*g - 5*a + 160. Is g a multiple of 16?
False
Suppose 0*x + 3*x + 2*u - 4 = 0, -3*x = -3*u - 9. Suppose f - 3*z = -9, -4*f + 7*f + 9 = 3*z. Suppose x*v + 64 = 2*q - 2*v, q + 4*v - 20 = f. Does 15 divide q?
False
Does 20 divide (-1050)/(-28) + 1/(-2)?
False
Let r(w) = w**3 + 18*w**2 - 13*w - 32. Is r(-18) a multiple of 21?
False
Let b be (-2)/4 + 11/22. Suppose 10 = 2*u - i, -2*u + b*i = 5*i - 10. Is u a multiple of 4?
False
Let b = 210 + -76. Let h = -91 + b. Is 12 a factor of h?
False
Let w be 3 - (0 - (1 + -2)). Let a be 6/(-18) + (-10)/(-3). Suppose a*d - 93 = 3*k, 0 = 6*d - w*d + 5*k - 115. Is d a multiple of 15?
True
Suppose -2*b + 210 = 5*n + 3*b, 2*n = 5*b + 119. Does 6 divide n?
False
Suppose 0 = -3*w - g + 630, -2*w + 7*g + 412 = 5*g. Is 32 a factor of w?
False
Is (39/26)/(2/48) a multiple of 9?
True
Suppose y + 2 = -2*x + 17, 0 = -5*x + 15. Does 3 divide y?
True
Suppose 0 = -23*q + 19*q + 1088. Is q a multiple of 16?
True
Suppose -2 + 3 = c. Suppose 4*w = 23 + c. Is w a multiple of 2?
True
Suppose 5*f - 192 = -2. Does 17 divide f?
False
Let h be 1/(2/(-108)*-3). Suppose y - h = 12. Does 11 divide y?
False
Let l = 7 + -5. Suppose 0 = -0*m - l*m - 30. Let r = m - -21. Does 3 divide r?
True
Let i = 155 + -100. Let s = i + -13. Is s a multiple of 14?
True
Let r be (-2)/(-6) - 95/(-3). Suppose -3*k - 5*q + 6 = -2*q, 2*k + 4*q = 2. Suppose r + 43 = k*a. Is 12 a factor of a?
False
Suppose 0*d + 540 = 5*d. Suppose 3*i = -i + d. Is 9 a factor of i?
True
Let j be 2/6 + (-6)/(-9). Is 5 a factor of (2/(-3) + j)*57?
False
Suppose -46 = -4*x + 4*n - 6, 0 = -4*x + 5*n + 42. Is 7 a factor of x?
False
Let s = -2 - -23. Does 2 divide s?
False
Let m = 15 + -19. Is 4 a factor of (-6)/m - (-5)/2?
True
Suppose -3*o - 2*s + 2 = -o, 0 = 2*o - s + 10. Let v(k) = -k - 1. Let b(i) = -17*i + 1. Let w(u) = b(u) - 3*v(u). Does 23 divide w(o)?
True
Let u = -18 + 101. Does 16 divide u?
False
Let h(a) = -2*a**2 + 1 + a**3 - 3*a - 2*a**3 + 5*a. Let z be h(-3). Suppose -4*g + 2*k + 17 = -57, -3*k + 69 = z*g. Is 9 a factor of g?
True
Suppose -3*b + 2 = -2*b. Suppose -3*t - 2*y - 2*y = -121, -b*t + 3*y = -75. Is 11 a factor of t?
False
Let m be (-30)/12*(-4)/5. Suppose 50 = 4*f - m. Does 8 divide f?
False
Suppose 9*z - 290 = 4*z. Is z a multiple of 4?
False
Let n = -1 - -3. Suppose -2*t - n = r + 8, 0 = -t + 4*r + 4. Is t*3/14*-7 a multiple of 3?
True
Is 4 a factor of 579/12 + (-1)/(0 + 4)?
True
Is -4 - (2 + 3 + -21) a multiple of 3?
True
Let p(w) = w**2 + 2*w + 1. Let n be p(2). Suppose y - 3*c = 12 + 2, 3*c + n = 0. Is 5 a factor of y?
True
Suppose -5*r + t = 5*t - 3, 3*t = -5*r + 6. Is r a multiple of 3?
True
Suppose h + 81 = 4*w - 3*w, 5*h - 93 = -w. Is w a multiple of 19?
False
Let t = 14 + -38. Let x = -18 - t. Does 2 divide x?
True
Let k(w) = w**3 + 6*w**2 - 7*w - 2. Let s be k(-7). Let m be s*(9/(-2) + 2). Suppose -z + 11 = -5*i + 35, 5*z + 40 = m*i. Does 3 divide i?
False
Suppose 5*p = -4*y + 64, -5*p + y + 59 = -0*y. Let n = p - -10. Does 22 divide n?
True
Let w(r) = -r - 1. Let p be w(-3). Suppose -y + 69 = p*y. Is y a multiple of 17?
False
Suppose -11 = -4*n + 5. Let s(r) = 4*r**2 - 5*r - 13. Let c(x) = 3*x**2 - 4*x - 14. Let z(k) = n*s(k) - 5*c(k). Does 9 divide z(0)?
True
Suppose 2*b - 102 = 10. Is 11 a factor of b?
False
Let w(u) = 48*u - 3. Is w(2) a multiple of 30?
False
Let l(o) = -1 - 12*o + 1 + 0. Does 6 divide l(-1)?
True
Let c be -2 - -2 - 16/(-4). Suppose -14 - c = -2*a. Let n = a + 0. Is n a multiple of 7?
False
Let q be ((-2)/(-4))/(3/18). Suppose 2*p + 10 = 0, 3*k + 4*p + q = p. Is k even?
True
Let p(l) = 7*l**2 + 5*l - 2. Is p(2) a multiple of 12?
True
Let s(b) = b + 4. Let h be s(-9). Let l = 31 - h. Is 18 a factor of l?
True
Let m = 16 - -19. Is 10 a factor of m?
False
Let b(w) be the third derivative of 5*w**4/24 + 2*w**2. Let s be b(-1). Let q = s - -8. Is q even?
False
Let g(c) be the second derivative of -c**4/12 + 4*c**3/3 + 3*c**2 + 3*c. Is 13 a factor of g(7)?
True
Suppose -5*n + 20 - 5 = 0. Suppose 47 = z + 3*w, -n*z - 5*w - 66 = -227. Let a = -32 + z. Is 15 a factor of a?
True
Let v(g) = 2*g**2 + 4*g - 2. Let z(l) = 0*l - l - 1 + 13. Let o be z(9). Is v(o) a multiple of 14?
True
Let l = 81 + -44. Let q = l + -23. Let z = -4 + q. Is 4 a factor of z?
False
Suppose d + 21 = -3*s + 4*d, 3*d + 6 = 0. Let y(t) = -t**2 - 10*t + 12. Is y(s) a multiple of 11?
False
Let h(x) = x**2 - 11*x - 15. Let b be h(12). Let d be b/(-2)*2/(-3). Does 12 divide d*2 + (5 - -25)?
False
Let o(f) = 2*f**3 - 16*f**2 + 10*f. Is 18 a factor of o(8)?
False
Let i(n) be the first derivative of -n - 11/2*n**2 + 3. Is i(-1) a multiple of 10?
True
Let b = -5 + 9. Let t = 1 + b. Is t a multiple of 2?
False
Suppose 0 = 4*t - 0*t - 20. Suppose 6*r = 4*r - t*q + 58, 3*q - 144 = -4*r. Is r a multiple of 7?
False
Is 16 a factor of 1054/6 + (-1)/(-12)*4?
True
Does 24 divide 1 - -1 - ((2 - 2) + -166)?
True
Let t be (-2)/3 - (-265)/(-3). Let h = t - -176. Is h a multiple of 27?
False
Suppose 0 = -2*u + j + 87, 4*u - 4*j - 100 - 76 = 0. Does 12 divide u?
False
Suppose 5*o = 2*o + 18. Suppose 3*t - o = 6*t. Is 8/(-10)*85/t a multiple of 14?
False
Let v(x) = x**3 - 9*x**2 + 7*x + 7. Let z be v(8). Is z/(-2) + 440/16 a multiple of 14?
True
Let y(v) = -2*v - 5. Let f be y(-4). Suppose 6*q - 4*q + z + f = 0, -2*q + 15 = -5*z. Suppose -l + 11 = -q*l. Does 11 divide l?
True
Let v be (2/3)/((-2)/(-15)). Let q be 2 - v/(5/2). Let b = q + 4. Is 2 a factor of b?
True
Let g = -36 + 76. Suppose -5*h - 78 = -3*s, -5*s + 3*h = -25 - 105. Let t = g - s. Does 6 divide t?
False
Let b(c) = -c**2 + 2*c + 2. Let r be b(2). Let k be 2/(-8) - 129/(-4). Suppose -r*x = -16 - k. Does 12 divide x?
True
Is 5 a factor of (-425)/10*((-3)/(-15) - 1)?
False
Let o(b) = -b**3 + 9*b**2 - 10*b + 9. Let d be o(8). Let n = 12 + d. Does 2 divide n?
False
Let c = -22 + 107. Suppose -5*m + 0*m = -c. Does 17 divide m?
True
Let l = 32 + 111. Suppose v - 20 = 2*a + 11, -4*a = 3*v - l. Is v a multiple of 14?
False
Is ((-2)/6)/((-4)/156) a multiple of 9?
False
Let v = 15 - 7. Let h = -4 - -6. Let z = v - h. Is 3 a factor of z?
True
Suppose -5*p + 4*q = 3*q - 50, 40 = 4*p - 5*q. Let n = 14 - p. Suppose 0 = 5*v - n*g - 27, -2*v + 4*g = -3*v + 15. Is v a multiple of 7?
True
Suppose 2*k - 18 = 2*c, 2*k = 6*k + c - 11. Suppose 20 = v + 2*v - 2*h, h - 12 = -k*v. Suppose v = -w + 13. Is w a multiple of 9?
True
Let n = -79 - -112. Is n a multiple of 33?
True
Let a be 6/(-9) - (-118)/6. Suppose -3*c = -2*c - a. Is c a multiple of 19?
True
Let a = -1 + -5. Let l be a + 8 - (-15 + 0). Let n = l + -8. Does 4 divide n?
False
Let v(r) = -17*r - 36. Is 13 a factor of v(-9)?
True
Let v(k) = -k**2 - 6*k - 2. Let d be v(-4). Suppose -2*p + d = -44. Is p a multiple of 8?
False
Suppose 134 = -3*n + 494. Does 20 divide n?
True
Let c(p) = 3*p**2 - 8*p + 9. Let u be c(6). Is 23 a factor of ((-12)/(-18))/(2/u)?
True
Let d = -43 + 52. Does 4 divide d?
False
Let v(n) = 44*n**3 - n. Let t be v(1). Let x = -12 + t. Is x a multiple of 17?
False
Suppose -105 = 3*i - 4*i. Let p = -51 + i. Is p a multiple of 18?
True
Suppose 0 = b + 5, -
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(4*y - 3)/11
Let k = 802435 + -12036469/15. Factor -k*s - 32/15*s**2 - 2/15*s**3 + 0.
-2*s*(s + 2)*(s + 14)/15
Let h(q) = -5*q + 130. Let j be h(26). Suppose -22*k + 17*k + 3*y - 9 = 0, j = -y + 3. Factor 16/5*b - 196/5*b**4 - 128/5*b**2 + k + 308/5*b**3.
-4*b*(b - 1)*(7*b - 2)**2/5
Suppose 0 = 4*n, 2*p - 3*n - 11 + 5 = 0. Factor 21*h - 3*h**4 - 42*h**2 - 18976 + 21*h**3 + 18976 + p*h.
-3*h*(h - 4)*(h - 2)*(h - 1)
Let v = 312638/63 + -34736/7. Factor v*b - 1/9*b**3 + 0 - 1/9*b**2.
-b*(b - 1)*(b + 2)/9
Let a(f) = -f**2 - 17*f + 35. Let v be a(-16). Suppose 5*h = 5, 0 = 2*r + h - 22 - v. Factor j**3 + r*j + 0*j**3 - 35*j + j**2 + j**2.
j*(j + 1)**2
Let i(k) be the second derivative of k**7/252 + k**6/60 + k**5/40 + k**4/72 - 13*k + 15. Let i(d) = 0. What is d?
-1, 0
Let y(g) be the first derivative of -g**3/9 + 73*g**2/6 + 830*g/3 + 5383. Solve y(r) = 0.
-10, 83
Let k = 52 - 43. Let j be (-2 - (-20)/k) + 1360/360. Suppose -1/2 + 5/2*d**j - 2*d - 2*d**2 + d**3 + d**5 = 0. What is d?
-1, -1/2, 1
Let d(u) = 9*u**2 - 138*u + 1506. Let q(n) = 8*n**2 - 137*n + 1497. Let b(x) = 5*d(x) - 6*q(x). Solve b(f) = 0.
22
Let b(n) be the first derivative of -n**4/6 + 148*n**3/9 - 349*n**2/3 + 184*n - 572. Let b(v) = 0. What is v?
1, 4, 69
Let n(g) be the first derivative of g**6/105 - g**5/7 + 13*g**4/42 + 20*g**3/7 + 36*g**2/7 - 26*g - 43. Let f(o) be the first derivative of n(o). Factor f(l).
2*(l - 6)**2*(l + 1)**2/7
Let m(h) be the third derivative of -h**7/12600 + h**6/600 + 83*h**4/24 + 26*h**2 + 4. Let w(f) be the second derivative of m(f). Factor w(a).
-a*(a - 6)/5
Suppose 21 = 2*a - 3*o, -19 = 3*o - 4. Find k, given that -2220*k + 1730*k + 95*k**3 + 5*k**4 - 5145 + 420*k**2 - 5*k**a = 0.
-7, 3
Let w(m) be the first derivative of m**7/210 - m**6/12 + 3*m**5/5 - 7*m**4/3 + 16*m**3/3 - 24*m**2 + 61. Let f(i) be the second derivative of w(i). Factor f(n).
(n - 4)*(n - 2)**3
Let g(z) be the third derivative of 8/5*z**3 + 11/300*z**6 + 0*z - 12*z**2 + 19/75*z**5 + 1/525*z**7 + 11 + 13/15*z**4. Factor g(a).
2*(a + 1)*(a + 2)**2*(a + 6)/5
Let k(t) = 2*t + 1. Let c(g) = -g**2 - 24*g - 5. Let i be (2/(-5))/(46/(-115)). Let a(m) = i*c(m) + 5*k(m). Find f such that a(f) = 0.
-14, 0
Let g(m) be the second derivative of m**4/8 + 261*m**3/2 + 204363*m**2/4 + 12*m - 130. Factor g(b).
3*(b + 261)**2/2
Let h(d) = -d**3 - 11*d**2 - 10*d + 4. Let m be h(-10). Suppose 57*y - 52*y = 10. Factor -72 - m*w**3 + 69 - 9*w**y + w**3 - 9*w.
-3*(w + 1)**3
Factor 11/4*b**3 + 0 - 5*b**2 - 75*b + 1/4*b**4.
b*(b - 5)*(b + 6)*(b + 10)/4
Let p be (-10)/60 - 85/(-6). Let 26*w**2 - p*w**2 + 16*w**2 - 64 - 24*w = 0. Calculate w.
-8/7, 2
Let g(u) be the first derivative of u**4/18 + 2*u**3/9 - 50*u - 75. Let d(b) be the first derivative of g(b). Factor d(a).
2*a*(a + 2)/3
Let g(v) be the first derivative of -v**4/6 + 6*v**3 - 50*v**2/3 + 257. What is i in g(i) = 0?
0, 2, 25
Suppose 4*u - 10 = 5*a, 13*a = 12*a - 2*u + 12. Factor p**2 - 1370 + 8*p + 5*p**a - 5*p**2 + 1386.
(p + 4)**2
Factor y + 1/4*y**2 - 5/4.
(y - 1)*(y + 5)/4
Let z(w) be the second derivative of -w**7/147 + w**6/21 + 141*w**5/70 - 7*w**4/6 - 364*w**3/3 + 588*w**2 - 3988*w. Suppose z(s) = 0. Calculate s.
-7, 2, 3, 14
Let n be (-325)/4*(-54752)/266916. Factor -95/3*i + n + 15*i**2.
5*(i - 1)*(9*i - 10)/3
Let w(y) be the second derivative of y**5/30 - 29*y**4/6 - 59*y**3/3 + 185*y**2/2 - 216*y. Let g(k) be the first derivative of w(k). Solve g(u) = 0.
-1, 59
Let c = 195 - 1432/7. Let l = c - -363/35. Find u such that 0*u**3 - 2/5*u**5 - 4/5*u**4 + 2/5*u + 0 + l*u**2 = 0.
-1, 0, 1
Let v(x) = -10*x**3 - 186*x**2 - 1592*x - 3042. Let q(o) = 8*o**3 + 186*o**2 + 1591*o + 3040. Let z(s) = 6*q(s) + 5*v(s). Let z(i) = 0. What is i?
-5, -3, 101
Let w(r) be the third derivative of r**8/30240 + r**7/1134 + r**6/270 - 9*r**5/5 + 9*r**2. Let n(c) be the third derivative of w(c). Factor n(m).
2*(m + 6)*(3*m + 2)/9
Suppose 1190*m - 178*m**3 + 5*m**4 + 300 - 52*m**3 - 1005 - 260*m**2 = 0. What is m?
-3, 1, 47
Let 171310*m**3 - 8090*m**2 - 85653*m**3 - 85652*m**3 = 0. Calculate m.
0, 1618
Let o be (-2)/(-8) + 239/(-956). Let j(k) be the first derivative of 0*k - 4*k**4 + 1 + o*k**2 - 16/9*k**3 - 4/3*k**5. Factor j(l).
-4*l**2*(l + 2)*(5*l + 2)/3
Suppose -5*w + 7*w = -28. Let s be (-1 - (-4)/12) + w/(-3). Let -6*v**2 + 2*v**2 + 0*v**4 - 8*v**3 + v**4 - 6*v**s - v**5 = 0. Calculate v.
-2, -1, 0
Suppose 5*a + 191 = 2*g - 305, -a = -g + 248. Let n = g + -15. Factor -229 - s + 3*s**2 + s**3 + n - 7*s**2.
(s - 4)*(s - 1)*(s + 1)
Let i be 211310/22440 - (-14)/24. Suppose i*h - 125 - 1/5*h**2 = 0. Calculate h.
25
Factor -178/9*r + 52/9 - 14/9*r**2.
-2*(r + 13)*(7*r - 2)/9
Let a(q) be the second derivative of -q**6/6 + 27*q**5/2 + 805*q**4/4 + 2000*q**3/3 + 930*q**2 - 5311*q. Solve a(d) = 0.
-6, -1, 62
Let i be (-738)/7190*(-164)/12. Let r = -2/719 + i. Factor -r*a + 8/5*a**2 - 3/5*a**3 + 2/5.
-(a - 1)**2*(3*a - 2)/5
Suppose 5*i + 25 = 5*x - 15, i - 19 = -2*x. Solve i - 1/6*z**5 + z**3 - 1/3*z**4 + 2/3*z**2 - 13/6*z = 0 for z.
-3, -2, 1
Factor -25*g + 2 + 8 - g**4 + 10*g**2 + 30*g**3 - 25 + 6*g**4 - 5*g**5.
-5*(g - 3)*(g - 1)*(g + 1)**3
Let o(a) = -a. Let q(m) = m**3 - m**2 - 3*m - 5. Let w be q(3). Let l(u) = u**2 - 7*u + 7. Let j(i) = w*o(i) + 4*l(i). Factor j(h).
4*(h - 7)*(h - 1)
Find d such that -1379*d + 306572 - 4*d**2 - 1285065 - 4685*d - 1319763 = 0.
-758
Let s be 15274/7*(7/4 - 2). Let l = 546 + s. Factor 0 + 1/2*b**2 - l*b.
b*(b - 1)/2
Suppose -37 = 8*o - 69. Suppose o*p - 5*a + 7 = 0, -5*p - 47*a + 42*a + 25 = 0. Suppose -25/6*r - 15/2*r**4 + 15/2*r**3 + 35/6*r**p - 5/3 = 0. What is r?
-2/3, -1/3, 1
Suppose 40 + 33 = 155*k - 237. Let y be (2/3)/(2/156). Find o such that -2*o - y*o**k + 4*o**5 - 28*o**4 + 20*o**3 + 40*o**3 + 0*o + 18*o = 0.
0, 1, 4
Suppose 44*f + 19091 = -4581. Let t = -9144/17 - f. Suppose -4/17 - 8/17*k**3 + t*k**5 + 4/17*k**2 + 6/17*k + 0*k**4 = 0. What is k?
-2, -1, 1
Suppose 30*p - 550 = -20*p. Let j be (4/6)/(3/18). Find h such that 12*h**2 - p*h + 16*h**3 - h + 6*h**j - 22*h**2 = 0.
-3, -2/3, 0, 1
Suppose -8*x + 18*x - 90 = 0. Suppose x*m - 33 = 12. Let 2/11*g**3 - 2/11*g**m + 0*g**4 + 0 + 0*g + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let g be (-6)/(-9)*90/20. Find j, given that -3*j**3 + 760*j**2 - 760*j**2 + g*j = 0.
-1, 0, 1
Determine i, given that -314 - 47*i**2 + 18 + 20*i**2 - 156*i + 23*i**2 = 0.
-37, -2
Let r = -72856 - -218576/3. Suppose 8/3*f**3 + 26/3*f**2 - r - 26/3*f = 0. Calculate f.
-4, -1/4, 1
Let y be (-1*(-7)/(-70))/((168/12)/(-112)). Suppose -9/10*o**2 + 0 - 1/10*o**3 - y*o = 0. Calculate o.
-8, -1, 0
Let a(b) be the second derivative of -9*b**5/14 - 13*b**4/3 - 8*b**3/21 - 6*b - 359. Factor a(i).
-2*i*(i + 4)*(45*i + 2)/7
Let y(t) be the second derivative of 1/4*t**4 + 0*t**2 + 53/2*t**3 + 0 - 233*t. Factor y(c).
3*c*(c + 53)
Let -f**2 - 2 + 4 - 6 - 36*f - 2 + 31*f = 0. What is f?
-3, -2
Factor -256*v**4 + 112*v**2 - 660*v**3 - 346*v**5 + 170*v**5 - 1280*v + 156*v**4 - 1712*v**2 + 171*v**5.
-5*v*(v + 2)**2*(v + 8)**2
Let f(i) be the third derivative of 8*i**6/25 - 324*i**5/25 - 483*i**4/8 - 539*i**3/5 + 7*i**2 + 21*i + 2. Factor f(b).
3*(b - 22)*(8*b + 7)**2/5
Let w be 20 - 53/((-5565)/(-2010)). Factor -w*m**3 + 2/7*m**5 + 0 - 10/7*m**2 + 2/7*m**4 - 4/7*m.
2*m*(m - 2)*(m + 1)**3/7
Suppose 47*o - 28 = 66. Suppose 8*z**3 + 14*z**3 - 2*z**5 - 11*z**3 + z**5 - 12*z**2 - 36*z + o*z**4 = 0. Calculate z.
-2, 0, 3
Let b(h) be the third derivative of h**5/90 - 7*h**4/9 - 55*h**3/3 + h**2 + 9*h + 70. Suppose b(z) = 0. What is z?
-5, 33
Let h(b) be the third derivative of -b**5/40 + 401*b**4/16 - 2310*b**2. Factor h(m).
-3*m*(m - 401)/2
Let g = -2757 - -2747. Let t be 108/33 - (-9)/45*g. Suppose -2/11*f**4 + 26/11*f - 30/11*f**2 - 8/11 + t*f**3 = 0. What is f?
1, 4
Factor 3/2 - 7*v**2 + 41/2*v.
-(v - 3)*(14*v + 1)/2
Suppose -3*n + 3 = -3*v - 3, -v = 3*n - 18. Let r(c) be the first derivative of 4 + 8 - 26*c**v + 25*c**3. Factor r(g).
-3*g**2
Let h be (-25608)/(-32) - (-9)/12. Let f = h + -792. Factor -48/5*o**3 + 27/5 - 24/5*o**2 + f*o.
-3*(o - 1)*(4*o + 3)**2/5
Let t(c) = 128*c**4 + 524*c**3 + 455*c**2 - 36*c + 7. Let g(b) = -43*b**4 - 175*b**3 - 154*b**2 + 12*b - 2. Let y(l) = -7*g(l) - 2*t(l). Factor y(k).
|
{
"pile_set_name": "DM Mathematics"
}
|
208*1
-208
Work out 0.5 * 0.73.
0.365
What is 1 times 1523?
1523
Multiply -127.5 and 0.1.
-12.75
What is the product of -64 and 6?
-384
Calculate -76*10.
-760
0.0424 * 21
0.8904
What is 3 times -146?
-438
Multiply -0.066 and 0.3.
-0.0198
0.3 times 0.201
0.0603
0.2 * -0.5
-0.1
Product of -0.0636 and 0.13.
-0.008268
Product of 0 and -3267.
0
-247 times -0.18
44.46
Multiply 2285 and -0.4.
-914
0 times 4.1
0
11*-35
-385
-146 times -0.141
20.586
Product of -0.05 and -241.
12.05
Calculate 0.1*0.8.
0.08
What is -22 times 3?
-66
What is the product of -1.1 and 41?
-45.1
Calculate -1.1*2.186.
-2.4046
2 times -1585
-3170
Calculate 5*-13.3.
-66.5
-428 * 0.5
-214
Product of 59 and -34.
-2006
-13.7 * -0.072
0.9864
55 * -0.2
-11
What is the product of 3.61 and -1?
-3.61
Product of 448 and -7.
-3136
-32*325
-10400
Work out 21.2 * 20.1.
426.12
Calculate 0.2*8.15.
1.63
What is the product of -92 and -1?
92
-0.4 times 813
-325.2
Multiply -3.6 and 1.
-3.6
Work out -2.54 * 0.12.
-0.3048
-204 * -54
11016
What is the product of 3 and 0.168?
0.504
Calculate -153*0.4.
-61.2
0.097*1.3
0.1261
What is the product of -7 and 0.3?
-2.1
Multiply 0.5 and -353.
-176.5
-1 times 3.2
-3.2
Calculate 9*-211.
-1899
-44 * -0.168
7.392
6 * 0.16
0.96
Multiply 5 and 49.
245
Calculate 5*0.05.
0.25
What is 18.9 times 0.07?
1.323
Calculate 20.6*0.03.
0.618
0.2 * 1
0.2
0.034 times -190
-6.46
-0.2*-19
3.8
Multiply 0.5 and 28.
14
Calculate -0.2*13.1.
-2.62
-205 times 13
-2665
Calculate 5*-0.019.
-0.095
What is the product of 4.9 and 47?
230.3
Calculate 51*6.
306
2156 * -3
-6468
Work out -4 * 0.185.
-0.74
Multiply -33 and 0.06.
-1.98
Calculate -0.5*-5.6.
2.8
-3666 * -0.5
1833
Product of 88 and -0.2.
-17.6
What is -0.01 times 234?
-2.34
What is 24 times -11?
-264
-0.2272 * 0.08
-0.018176
-2*-506
1012
-1 times -0.5
0.5
-0.4 * 0.338
-0.1352
-5915 times -0.5
2957.5
Calculate 8*-69.
-552
17.51*3
52.53
Multiply 458 and 2.
916
Work out 0.05 * 15.
0.75
Multiply 3.82 and -5.
-19.1
-21 times -16
336
What is -63.3 times 1.8?
-113.94
Multiply -45 and 1.15.
-51.75
6 times -0.838
-5.028
66 times 0.08
5.28
-0.0867*-0.5
0.04335
14 * -1
-14
-0.14*15
-2.1
Product of -2.8 and 0.2.
-0.56
Work out 0.4 * -453.
-181.2
Multiply -298.1 and 0.3.
-89.43
Work out 0.3 * 23.6.
7.08
Work out 14.7 * -7.1.
-104.37
What is the product of 3603 and -1?
-3603
0.7 times 0.1
0.07
-2 * -52
104
What is 16206 times 5?
81030
531*2
1062
59068 * 0.2
11813.6
3.76 times 0.4
1.504
Work out 2585 * -3.
-7755
What is the product of 1.7 and 1.9?
3.23
Work out -50.6 * -0.5.
25.3
What is 0 times -0.003?
0
What is -2.2 times 0.714?
-1.5708
Multiply 0.009 and 132.
1.188
What is -0.01 times 2.91?
-0.0291
Calculate 0.13*78.
10.14
-0.5 times 19
-9.5
What is the product of 0.4 and 4?
1.6
0.5*-213
-106.5
Product of -72 and -2.
144
0.146 * -0.07
-0.01022
Product of -270 and -0.8.
216
Product of -0.5 and -0.2.
0.1
Work out 2 * -0.493.
-0.986
Calculate 11*-7.
-77
What is 16 times 31?
496
What is -323 times -2.9?
936.7
69.2 * -5
-346
-4 * 5.5
-22
-38*-37
1406
Calculate 322*0.3.
96.6
What is -0.9 times 0.02?
-0.018
589.5 times 0
0
1*1559
1559
0.3 * -1.03
-0.309
What is -1.3 times 3?
-3.9
Work out 1.4 * -1.6.
-2.24
Multiply -0.1 and -4362.
436.2
Work out 10 * 27.
270
2.3*0.13
0.299
-260*-28
7280
5 times -146
-730
Calculate 0.0879*0.
0
Work out 43 * 0.05.
2.15
Work out 4 * -6.7.
-26.8
What is 4 times 0.07?
0.28
Work out 23.58 * 0.2.
4.716
Multiply 1 and 11.78.
11.78
What is -235 times 0.1?
-23.5
Calculate -0.159*-0.4.
0.0636
12 * 2.4
28.8
Calculate -0.0691*-0.5.
0.03455
8454 * 0
0
-0.4*0.011
-0.0044
Multiply -0.2 and -0.025.
0.005
Calculate -45*-2.
90
What is -5 times 0.3312?
-1.656
Multiply -0.031 and -5.
0.155
What is 39 times 4?
156
3.1*6.4
19.84
Multiply -0.179 and 3.
-0.537
What is the product of -0.1 and -97?
9.7
What is -0.039 times 0.4?
-0.0156
Multiply -231 and 1.
-231
Work out 0.316 * -1.
-0.316
-516*-0.5
258
Calculate -0.01*2.1.
-0.021
Product of 0 and 0.78.
0
Multiply 0.067 and -2.
-0.134
What is the product of -15 and 0.064?
-0.96
What is the product of 0.0773 and 0?
0
13.01*4
52.04
Multiply 0.3 and 3956.
1186.8
What is the product of 0.2614 and 1?
0.2614
Product of 5 and 8.3.
41.5
What is -0.2 times 0.1?
-0.02
Product of 171 and -14.
-2394
-0.5 * -3617
1808.5
-0.5*-0.157
0.0785
What is -4 times -0.29?
1.16
Multiply -612 and -4.
2448
-153*0.1
-15.3
Multiply -0.4 and 0.8.
-0.32
Product of 4 and 24.
96
Work out -64.24 * -0.4.
25.696
Product of 0.5 and 905.
452.5
What is 0.052 times 3?
0.156
Work out 0.18 * 27.
4.86
0.1 * -13.84
-1.384
Product of -1837 and 5.
-9185
Product of -15 and -0.8.
12
-0.05 times 202
-10.1
Multiply 1.1 and 0.18.
0.198
-0.18*0.07
-0.0126
What is 2749 times -10?
-27490
0.3 * -0.02
-0.006
Calculate 0.1382*1.
0.1382
What is -1.4 times 42?
-58.8
What is the product of 1 and 1.9?
1.9
Product of 0.1 and -114.
-11.4
Work out -6 * 0.45.
-2.7
-1.3 * 0.046
-0.0598
-120 * 0.084
-10.08
-255*-9
2295
What is the product of -0.1 and -512?
51.2
-0.23*-541
124.43
What is the product of 4 and -3?
-12
Multiply 0.1 and 0.66.
0.066
-2.4 * -57
136.8
-0.029 times 0
0
What is -7.013 times 0.1?
-0.7013
3*-407.4
-1222.2
-11 times 23
-253
Calculate -19.1*-0.3.
5.73
What is 69 times 0.062?
4.278
5699 * 0.5
2849.5
28*1.2
33.6
-53 * -84
4452
What is -0.138 times 0.4?
-0.0552
-0.116 times 3
-0.348
What is 241 times -0.1?
-24.1
Work out -22383 * -0.1.
2238.3
Work out 4 * 84.
336
Product of 4.9 and -0.13.
-0.637
0.006*1.4
0.0084
681 * 14
9534
Multiply -1.05 and -8.
8.4
Multiply 528 and 0.3.
158.4
Work out 0.4 * -119.
-47.6
Product of -16.1 and 1.
-16.1
Calculate 5*0.5.
2.5
What is -4 times -39?
156
-0.02 times -2.546
0.05092
-13 times -0.37
4.81
-0.1 times 1.547
-0.1547
0.8 * 3.9
3.12
5 times 0.15
0.75
81 times -1
-81
Multiply 3 and 2498.
7494
Product of 0.3 and 119.
35.7
Multiply 16 and 0.034.
0.544
Calculate -736*-0.5.
368
-254 * -0.3
76.2
217*1.3
282.1
Product of -0.32 and 1.4.
-0.448
Product of -9 and 499.
-4491
6.5 times 0.7
4.55
Multiply 0.0574 and 1.
0.0574
Product of 126 and -24.
-3024
Product of -0.075 and -6.
0.45
Work out 1.453 * -0.3.
-0.4359
What is -2433 times -0.5?
1216.5
Work out 0.9 * -0.05.
-0.045
-1011 times 0.4
-404.4
-16.4*27
-442.8
-8 * -0.3
2.4
Calculate 1.7*3.5.
5.95
What is the product of -1 and 23?
-23
What is 3 times 871?
2613
Work out 0.2 * 1.99.
0.398
0.4 times 0.0503
0.02012
Work out -89 * 0.07.
-6.23
Product of 1 and 7351.
7351
Multiply 5 and 0.02.
0.1
What is the product of 0.5 and -2.1?
-1.05
Work out 299 * 0.018.
5.382
46 * 0.2
9.2
-7 * 0.027
-0.189
-258 times 0
0
Multiply -5 and 171.
-855
Multiply 1.34 and 6.
8.04
What is 506 times 4?
2024
0.01495 * 4
0.0598
-1.4*0.05
-0.07
Work out 0.6 * -0.6.
-0.36
0.5 times 2.595
1.2975
What is the product of 0.21 and 10?
2.1
Product of 229 and 8.
1832
43*-56
-2408
Calculate 0.12*4.8.
0.576
What is the product of 2 and -128.7?
-257.4
What is -0.415 times 0?
0
Multiply -712 and -0.3.
213.6
Work out 13 * -3.134.
-40.742
Calculate -2*75.
-150
What is the product of 0.2 and 0.8?
0.16
What is -0.063 times 0.4?
-0.0252
3 times -2755
-8265
Calculate 7*5.2.
36.4
1 times -54
-54
What is -20 times -0.36?
7.2
Calculate 120*2.
240
Work out -18 * -6.
108
0.1 times -4079
-407.9
0 times 78.4
0
-317 times -0.09
28.53
Calculate -16.33*-0.2.
3.266
Calculate -7*12.
-84
What is -0.001 times -14?
0.014
What is the product of 7796 and 0.5?
3898
What is 10 times 139?
1390
Product of -5978 and -5.
29890
0.5 times 0.4
0.2
Work out 1072 * 0.1.
107.2
Work out 0.6 * 94.
56.4
-40.2*13
-522.6
0.05 * 1.103
0.05515
Calculate -0.1*1.03.
-0.103
-0.289*3
-0.867
Multiply -145 and -4.
580
-766 * 0.01
-7.66
-0.2 * 0.088
-0.0176
Product of -0.03 and 65.
-1.95
Product of -4 and 1950.
-7800
Work out 0.5 * -0.1.
-0.05
What is the product of 222 and -0.42?
-93.24
What is the product of 164 and 12?
1968
Work out -0.259 * -4.
1.036
Product of -0.1 and -5.
0.5
-0.14 * -1
0.14
Work out 920 * 0.1.
92
Multiply -0.4 and 0.1904.
-0.07616
-68 * 0.05
-3.4
What is -0.08 times -0.05?
0.004
What is 0.1 times 2926?
292.6
-26 times 0.18
-4.68
Multiply 0.07 and -14.8.
-1.036
0.3 * -28
-8.4
3*292
876
Calculate 0.87*-1.1.
-0.957
Product of -2 and -4.23.
8.46
3*-108
-324
What is the product of 77 and -0.2?
-15.4
Multiply 175 and 1.
175
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
149600
What is the lowest common multiple of 414 and 71208?
71208
Calculate the least common multiple of 57522 and 4.
115044
Calculate the common denominator of 21/391 and 23/289.
6647
Find the common denominator of -151/9100 and 109/20020.
100100
What is the common denominator of 211/210 and 13/16674?
83370
What is the common denominator of 113/132 and 79/7128?
7128
What is the common denominator of -157/1170 and -59/15?
1170
Calculate the common denominator of 59/55 and 6/35555.
391105
What is the common denominator of -123/8600 and 49/32?
34400
What is the smallest common multiple of 186 and 1302?
1302
Calculate the common denominator of -27/608 and 83/238488.
953952
Calculate the smallest common multiple of 1458 and 150.
36450
Find the common denominator of 167/16548 and 31/18.
49644
What is the common denominator of -69/2002 and -89/561?
102102
What is the least common multiple of 91712 and 10?
458560
Find the common denominator of 54/207575 and -74/6555.
622725
What is the least common multiple of 19 and 5624?
5624
Calculate the lowest common multiple of 193408 and 14.
1353856
What is the least common multiple of 240 and 19984?
299760
Calculate the smallest common multiple of 6872 and 15462.
61848
Calculate the common denominator of 11/224 and -167/311304.
1245216
Calculate the smallest common multiple of 179481 and 18567.
538443
Calculate the common denominator of 97/225350 and 167/300.
1352100
What is the common denominator of 33/2 and -93/6862?
6862
What is the smallest common multiple of 63144 and 505152?
505152
What is the least common multiple of 8452 and 23243?
92972
Calculate the common denominator of 38/161991 and 107/90.
1619910
Calculate the lowest common multiple of 140328 and 101348.
1824264
What is the smallest common multiple of 234 and 1378?
12402
Calculate the lowest common multiple of 730 and 6.
2190
Calculate the least common multiple of 13250 and 1375350.
6876750
What is the common denominator of 25/5473 and 36/4511?
1899131
Find the common denominator of -39/88162 and 38/51.
264486
What is the common denominator of -38/987 and 35/66?
21714
Find the common denominator of -29/276 and 21/6872.
474168
Calculate the lowest common multiple of 78630 and 288310.
864930
What is the smallest common multiple of 24 and 245912?
737736
What is the lowest common multiple of 1992056 and 6?
5976168
What is the common denominator of 11/87117 and 86/1065?
435585
What is the common denominator of 29/540 and 127/72?
1080
What is the common denominator of -29/13144 and 89/120?
197160
Calculate the common denominator of -40/288673 and -3/19481.
3175403
What is the common denominator of 32/63145 and -31?
63145
What is the common denominator of 13/170838 and 151/18?
170838
Calculate the least common multiple of 934 and 575.
537050
Calculate the least common multiple of 224 and 4004.
32032
What is the common denominator of 53/13158 and 131/102?
13158
What is the lowest common multiple of 33 and 236621?
709863
What is the common denominator of -127/180 and -57/85910?
1546380
Calculate the lowest common multiple of 1196 and 33488.
33488
Calculate the lowest common multiple of 18208 and 11380.
91040
What is the least common multiple of 592 and 44686?
13227056
What is the lowest common multiple of 4752 and 144?
4752
What is the least common multiple of 27 and 29538?
29538
Calculate the least common multiple of 389760 and 181888.
2728320
Calculate the common denominator of -47/90 and -101/5380.
48420
Find the common denominator of -19/37980 and -97/41145.
493740
What is the least common multiple of 18040 and 615?
54120
What is the lowest common multiple of 20028 and 123?
821148
What is the lowest common multiple of 218754 and 194448?
1750032
Calculate the least common multiple of 1163888 and 16.
1163888
What is the lowest common multiple of 388560 and 77712?
388560
What is the common denominator of -79/24 and 137/1761702?
7046808
Calculate the common denominator of -167/338856 and 151/84.
338856
Find the common denominator of -133/9732 and -25/19464.
19464
What is the least common multiple of 7010 and 12618?
63090
Calculate the common denominator of 47/31340 and -43/68948.
344740
What is the common denominator of 68/8349 and 175/110814?
1218954
What is the common denominator of -49/305 and 87/52826?
264130
Find the common denominator of -73/12 and -157/588.
588
Calculate the lowest common multiple of 96460 and 10.
96460
What is the smallest common multiple of 1303492 and 14?
9124444
Calculate the smallest common multiple of 13886 and 76373.
152746
Calculate the lowest common multiple of 30 and 2017494.
10087470
Calculate the common denominator of 83/7794 and -121/41568.
124704
What is the common denominator of -137/18 and 1/4152?
12456
Find the common denominator of 55/6128 and 49/8.
6128
Calculate the common denominator of -95/4 and -65/105688.
105688
Find the common denominator of -121/240 and 67/8.
240
Find the common denominator of 57/2 and -155/12474.
12474
Find the common denominator of -40/791 and 87/3920.
442960
What is the common denominator of -34 and -21/67016?
67016
What is the common denominator of -58/117 and 62/81783?
81783
What is the smallest common multiple of 48 and 1241200?
3723600
Calculate the smallest common multiple of 365 and 2810.
205130
Calculate the least common multiple of 4800 and 18240.
91200
Calculate the least common multiple of 12 and 357048.
357048
What is the least common multiple of 26650 and 3575?
293150
What is the common denominator of -5/176 and -119/11000?
22000
Find the common denominator of 79/225 and 81/27200.
244800
Calculate the least common multiple of 3000 and 25500.
51000
Calculate the common denominator of 19/268 and 77/32.
2144
What is the common denominator of 101/53086 and 22/16891?
371602
Calculate the common denominator of -101/1216 and 73/912.
3648
Calculate the common denominator of 13/1330570 and 61/752.
10644560
What is the least common multiple of 32 and 619224?
2476896
What is the common denominator of -85/48 and -47/141728?
425184
Calculate the common denominator of 101/536888 and 123/244040.
2684440
What is the least common multiple of 87060 and 9?
261180
What is the least common multiple of 41514 and 110?
207570
What is the common denominator of -87/23716 and 103/3234?
71148
What is the lowest common multiple of 2947 and 266?
111986
What is the common denominator of -89/436114 and -37/623020?
4361140
Calculate the least common multiple of 1388497 and 1388497.
1388497
What is the smallest common multiple of 5805 and 15?
5805
What is the least common multiple of 115566 and 935?
577830
Calculate the lowest common multiple of 89712 and 128.
717696
What is the common denominator of -71/29464 and 107/7112?
206248
Find the common denominator of -41/26767 and 2/91.
187369
Find the common denominator of -8/163881 and 88/63.
1147167
What is the least common multiple of 4275 and 3960?
376200
Calculate the common denominator of -19/6090 and -101/280.
24360
Calculate the common denominator of -85/798 and -145/2016.
38304
What is the common denominator of -7/121470 and -139/54?
1093230
Find the common denominator of 80/12027 and -1/9495.
180405
Find the common denominator of 37/1404 and 17/414.
32292
Find the common denominator of 34/231327 and 53/39.
3007251
What is the lowest common multiple of 305 and 3599?
17995
Calculate the lowest common multiple of 448415 and 163060.
1793660
What is the lowest common multiple of 5595 and 125?
139875
Calculate the common denominator of 55/376 and 25/22654.
90616
Calculate the common denominator of 95/322 and -179/462.
10626
Calculate the common denominator of -33/18280 and 7/87744.
438720
Calculate the common denominator of -53/4 and 19/31798.
63596
Calculate the common denominator of -67/16 and -19/4234.
33872
What is the common denominator of -1/17493 and 51/98?
34986
Calculate the least common multiple of 53189 and 212756.
212756
Calculate the lowest common multiple of 4817950 and 20.
9635900
Find the common denominator of 37/3038 and 25/196.
6076
Find the common denominator of -16/14735 and 99/21050.
147350
What is the lowest common multiple of 76329 and 50886?
152658
Calculate the common denominator of 45/55814 and 47/1725160.
18976760
Find the com
|
{
"pile_set_name": "DM Mathematics"
}
|
form b*z + u*z**2 + v and give v.
-1
Rearrange 87 - 10*k - 87 to the form f*k + t and give f.
-10
Rearrange 9*a**2 - 3*a + 2*a + a to r + v*a**2 + o*a and give v.
9
Rearrange (354 + 2*q - 704 + 361 - q**3 - 2*q**2)*(2*q - 5*q + 2*q) to s + v*q + r*q**3 + i*q**4 + b*q**2 and give i.
1
Rearrange 0*o**3 - o - o**3 + 6 - 2 + 0 to d*o + a*o**2 + m*o**3 + k and give k.
4
Express -14*q - 6*q**2 + 6 + 11 - 17 as y*q**2 + o*q + i and give y.
-6
Express -7*g**2 + 5*g**2 + 0*g**2 - 2 as l + u*g + f*g**2 and give l.
-2
Rearrange -78*y**2 + 2*y + 25*y**2 + 46*y**2 + 33*y**2 to the form m*y**2 + f + o*y and give f.
0
Express (-3 + q**2 + 3)*(-9 + 30 + 13)*(2*q - 2*q + 2*q) as k*q**2 + s*q**3 + n + l*q and give s.
68
Express 8*p - p + 4*p as w*p + z and give w.
11
Rearrange (-c - c + 3*c)*(-1 - 2 + 4)*(0*c + 7*c + 2*c) - 3 + 3 - 2*c**2 + (2*c - c - 5*c)*(c - 4*c + c) to a*c + j*c**2 + z and give j.
15
Express (-21*u**2 + 15*u**2 - 7*u**2)*(2 + u - 4 - 1) in the form q + x*u**3 + z*u + v*u**2 and give v.
39
Express ((-h - h - h)*(1 + 3 - 2) - 13 + 65*h + 13)*(3*h - 5*h + h) as f*h**2 + c*h + k and give f.
-59
Express (-2 - c + 2)*(c**2 + 0*c**2 - 3*c**2) + 5*c**3 - 4*c**3 + 0*c**3 + 4*c**3 + 2*c**3 + 2*c**3 in the form z + n*c**2 + a*c**3 + s*c and give a.
11
Rearrange -20*a**2 + 2*a + 0*a - 2*a to j*a + r*a**2 + l and give r.
-20
Express v**2 + 4*v**2 - 6*v**2 + (-v + 2 - 2)*(-9*v - 2*v + 0*v) as h*v**2 + z*v + g and give h.
10
Rearrange (0 + 4 - 6)*(-3 + 2 + 2)*(0 - 3 + 1)*(2 + 0 - 3)*(-14*w**2 + 4*w**2 + 2*w**2) to the form n*w + f*w**2 + z and give f.
32
Rearrange -23*w + 87 + 7*w - 87 to the form q + l*w and give l.
-16
Express -2*g**3 + 22*g - 82*g**2 + 1 + 43*g**2 + 39*g**2 in the form x + h*g**3 + s*g + q*g**2 and give s.
22
Rearrange -7*u**2 - 1 - 2 + 3*u**2 + u**2 to h*u**2 + w + a*u and give w.
-3
Express (y**2 + 5*y**2 - 4*y**2)*(-3 + 3 - 2*y) + (0 + 0 - 2*y)*(3*y - 3*y - 3*y**2) - y**3 - 4*y**2 + 4*y**2 as b*y**3 + c + m*y + o*y**2 and give b.
1
Rearrange (4*w - 6*w + 3*w)*(-2 + 1 - 4*w**2 + 16*w**2) to the form m*w**3 + y + v*w + g*w**2 and give m.
12
Express (1 - z - 1)*(1 + 4 - 4) - 17 + 17 - 13*z + z + 1 - 1 + (-z + 3*z - 4*z)*(2 + 1 - 2) in the form r + q*z and give q.
-15
Express 3*y + y**3 - y + 97 + 2*y**2 - 99 in the form a*y + r*y**3 + c + u*y**2 and give a.
2
Rearrange y**3 - 3*y - 2 - 5*y**2 + 2*y**2 - 5*y**2 + 7*y**2 to the form a*y + f*y**3 + m + u*y**2 and give m.
-2
Express (-28*g**2 - 18*g**2 + 40*g**2)*(0*g - 9*g + g) in the form x*g**3 + h + t*g + d*g**2 and give x.
48
Rearrange 2 + 0 + 5*b**3 + 3*b - b**2 + 2*b**3 to the form t*b + r*b**2 + l*b**3 + o and give r.
-1
Express (-132 + 132 - 28*s)*(0 + 3 + 2 + (0 + 2 - 4)*(2 - 1 - 3)) as z + k*s and give k.
-252
Express 1 + 1 - 5*s - 2 as x + l*s and give l.
-5
Express 25*b + 15*b - 6*b + 0*b in the form t*b + n and give t.
34
Rearrange -4*m**3 - 2*m**2 + m**2 + 5*m**3 to the form f*m**3 + u*m**2 + i*m + x and give f.
1
Rearrange (884*b - 35*b**2 - 884*b)*(4*b - b - 5*b) to g*b + c*b**3 + q*b**2 + s and give q.
0
Express (4 - 6 - 1 + 0 + 1 - 2 + (5 + 1 - 3)*(-2 + 4 - 3) + 2 - 2 + 2)*(4*v - 3*v - 3*v) as i + g*v and give i.
0
Rearrange 2*i**4 + 5*i - 6*i - 5*i**2 + 1 + 3*i**2 + 0*i**4 to the form p*i**2 + m*i + q*i**3 + n + y*i**4 and give y.
2
Express -i**2 + 3*i**2 + 11*i**2 as t*i + r*i**2 + g and give t.
0
Express 3846 - 146*p - 3846 in the form b + a*p and give a.
-146
Express (3*t + 2 - 2)*(5*t - 3*t - 4*t) as n*t + k + w*t**2 and give w.
-6
Express (0*f**3 - 5*f**3 + 3*f**3 + 2)*(6 + 15 - 11) as k*f**3 + d*f**2 + t + p*f and give t.
20
Rearrange 3*a**2 + 8*a + 1 - 2*a**4 + a**4 - a + 1 to the form x*a**3 + r*a**4 + l*a**2 + v*a + u and give u.
2
Rearrange -16*a**2 + 2*a**2 - 9*a**2 to the form y*a + j*a**2 + p and give j.
-23
Express -2*f**2 - 10 + 4*f**2 - 7*f**2 in the form w*f + l*f**2 + i and give i.
-10
Express (65 - 51 + 29)*(3*y**2 + 0*y**2 - y**2) as h*y + w + l*y**2 and give l.
86
Rearrange 5*v**2 - 3*v**3 + v**4 + 0*v**3 + 4*v**3 to m + w*v**3 + g*v + p*v**2 + u*v**4 and give w.
1
Rearrange -16 - 16*z - 37*z + 18 to the form a + l*z and give l.
-53
Express -23*v + v**4 + 139*v**2 - 139*v**2 + 2*v**3 + 1 in the form u*v**2 + w*v**4 + j*v**3 + r*v + o and give w.
1
Rearrange 2*q - 2*q**3 - 2*q + (2 - 2 + 1)*(-2*q**3 + 2*q - 2*q) + (-7*q + 8*q + 6*q)*(q**2 + 0 + 0) to c*q**2 + r*q**3 + b + a*q and give r.
3
Rearrange (1 - 1 + 1 - 2*q)*((-2*q + q + 3*q)*(-2*q - 3*q - q) + 0*q**2 + 5*q**2 + 3*q**2) to the form c*q**3 + i + o*q + u*q**2 and give c.
8
Express 16*c**2 - 30*c**2 + 8*c**3 + 14*c**2 + c in the form n*c**3 + v*c**2 + w*c + q and give n.
8
Rearrange -3 + 2*m + 2*m**2 + m**3 + 5 - 2*m**3 - 3*m**2 to the form p*m**2 + y*m**3 + f*m + u and give p.
-1
Rearrange (37 - 37 - 45*g)*(-g + g - g) to o*g**2 + q + x*g and give q.
0
Rearrange -9*q**2 - 280*q + 41*q**2 + 280*q to the form v*q + b + z*q**2 and give z.
32
Rearrange -17*s - 8*s + 7*s to x + a*s and give a.
-18
Rearrange (0 - 1 + 5)*(-2*w + 5*w - w)*(2 - 3 - 1) - 3*w + 4*w + 4*w to i*w + s and give i.
-11
Express (-5 + 2 + 0)*(g**3 - 2*g**4 + 2*g**3 + 3*g**4) in the form x*g + p + o*g**3 + a*g**2 + t*g**4 and give p.
0
Express 2*v - 4*v + 5*v - 4*v as x*v + z and give x.
-1
Express (0 - 1 + 3)*(3 - 2 + 2)*(-2*s - 2*s + 6*s)*(s**2 + 0*s + 0*s) in the form n*s**2 + q*s**3 + h*s + o and give q.
12
Express -12*m + 1 + 5*m + m**3 + 3*m**4 + 6*m + 2 in the form d*m + b*m**3 + o + t*m**2 + p*m**4 and give o.
3
Rearrange -3*l**4 - l**2 + 0 - 116*l**3 - 3 + l + 118*l**3 to h*l**2 + r*l + j*l**3 + m + s*l**4 and give h.
-1
Rearrange 2*a**3 - 2*a**3 - 27*a**3 - 2 to g + s*a + k*a**2 + r*a**3 and give r.
-27
Express 19*r**2 - 27*r**2 - 20*r**2 in the form g*r**2 + u + m*r and give g.
-28
Rearrange s**3 + 20*s**2 + s**3 - 4*s**2 - s**3 + 4*s - 4*s + (s - 2*s + 3*s)*(0*s + 0*s - s**2) to j*s + b + g*s**3 + d*s**2 and give d.
16
Rearrange (5 - 5*z - 5)*(-z + 3*z - 4*z) + (2*z + 1 - 1)*(3 - z - 3)*(-2 - 6 + 5) + 0*z + 0*z - z**2 to o*z**2 + v*z + m and give m.
0
Express -3 + 3*g**2 + 9098*g - 9098*g as j*g + x + q*g**2 and give q.
3
Rearrange 9*g**4 - 1 - 13*g**4 + g + 3*g**4 to the form k*g**4 + p*g + f*g**2 + o*g**3 + j and give j.
-1
Rearrange -659 + 659 - 33*t to the form d*t + x and give d.
-33
Rearrange (-24*w - 23*w + 45*w)*(w**2 + w**3 - w**2) to g*w + j*w**2 + c*w**4 + f + t*w**3 and give c.
-2
Express -o**2 - 2 + 5*o**3 - o**2 - o**3 - 2*o**4 + 4*o**3 + 3*o as t*o**4 + x*o**3 + n*o + w + h*o**2 and give w.
-2
Rearrange -9*w**3 + 3*w**2 - 18*w**2 + 10*w**3 to the form c*w**2 + v*w + f + z*w**3 and give z.
1
Express -14*l**3 + 14*l**3 - 5*l**4 + (0*l**3 + 4*l**3 - l**3)*(3*l - 3*l + 3*l) as k + f*l**2 + p*l**3 + t*l + u*l**4 and give u.
4
Rearrange -1 + 0 + 2*v**3 + 129*v + 2*v**2 - 117*v to w*v + q + o*v**3 + y*v**2 and give o.
2
Rearrange -6*y - 5*y + 0*y to x + w*y and give w.
-11
Rearrange (-4 + g + 4 + (-3*g + g + 4*g)*(0 - 3 + 0) - 2*g - g + 5*g)*(-1 + 1 - 2*g) to d*g**2 + w*g + m and give d.
6
Rearrange (-2 + 2 + 1)*(-14*i - 3 + 6 - 1) - i + 3*i + 0*i + (-4 + 0 + 2)*(i + 0*i - 3*i) + i + i - 4*i to p*i + v and give p.
-10
Express (-6*w - 114*w + 248*w)*(4 + 0 - 2) + 3 - 3 - w as p + k*w and give k.
255
Express 2 - 8 + 0*x + 10*x - 4*x**3 - 9*x as w*x**2 + d + h*x + c*x**3 and give c.
-4
Express 3*k**2 - 4*k**2 + k - 3*k**2 in the form o*k**2 + s*k + j and give s.
1
Express (c + 2*c + c)*(-4*c + 2*c + 0*c) + c**2 + c**2 + 3*c**2 as a*c**2 + j*c + d and give a.
-3
Rearrange (-4 + 1 + 5 + (2 + 2 - 2)*(-2 + 1 + 2) + 7 - 12 + 0)*(0*k - k + 2*k)*(-5 + 2*k**2 + 5) to the form u*k**2 + d*k + a*k**3 + l and give a.
-2
Express (-3 + 1 - 2*l + 0*l)*(-7*l**3 + 0*l**3 + 5*l**3) as j + b*l + s*l**3 + t*l**2 + r*l**4 and give r.
4
Express (a + 0*a + a)*(5 + 4*a - 5)*(a - 75 + 38 + 35) as f*a**3 + j + u*a**2 + s*a and give f.
8
Express (0 - 2 + 3 + 2*b)*(3*b**3 + 9*b**3 + 2*b**3) in the form d + t*b**2 + z*b + n*b**3 + x*b**4 and give d.
0
Rearrange -c**2 - c**2 + 11*c**3 - 10*c**3 to u*c + l + t*c**3 + g*c**2 and give t.
1
Rearrange (-5 - 672*s + 4 + 757*s)*(-3 + 2 + 0) to the form w*s + v and give v.
1
Express 7 + 11*g - 5*g - 11*g in the form o + t*g and give o.
7
Rearrange 6 + 6*l - 17 + 12 to i + q*l and give i.
1
Rear
|
{
"pile_set_name": "DM Mathematics"
}
|
t**2 + t. Determine q(l).
6
Let a be (-1 + (-1)/(-2))*-6 - -2. Let o(g) = -g**2 + g - 1. Let w(k) = 5*k**2 - 10*k + 7. Let m(n) = -4*o(n) - w(n). Give m(a).
2
Let j be (-1 - 5)*-1 - (-8 + 12). Let s(n) = -n**3 - 3*n**2 - n - 1. Let h be s(-3). Let a(x) = -2*x**h + 2*x - 3*x + 3*x**j - 3*x**2. Calculate a(-1).
-1
Let w(f) = -f - 14 - 14 - 18 + 47 + 4*f**2 + 6*f**2. Let d be ((-7)/(-3) + -2)*9. Let m = -2 + d. What is w(m)?
10
Let u(x) = x + 2. Let m(h) = -2*h - 3. Let w(c) = -3*m(c) - 7*u(c). Suppose 1026 = -114*z - 0. What is w(z)?
4
Let t(i) be the third derivative of 11/24*i**4 - 1/120*i**5 - 3*i**2 + 1/3*i**3 + 0*i + 0. Let f(d) be the first derivative of t(d). Give f(5).
6
Let n(u) = u**3 + 12*u**2 - 14*u + 11. Suppose 4*c + 138 = 86. Give n(c).
24
Let m(o) = -o**3 + 11*o**2 - 13*o + 23. Let n be (-12)/2*(16/12 - 3). Calculate m(n).
-7
Let p = -14 + 16. Suppose -3*f + 2*w + 15 = 0, 5*f + 3*w = -p*w. Let a(z) = 1 + 7*z**2 + 8*z + 0*z**f - 2*z**3 + z**3. Calculate a(8).
1
Suppose 5*b - 29 = -w, 4*w = 5*b - 7*b + 8. Let a(u) = -u + 5. Give a(b).
-1
Let s = 126 + -117. Let w(m) = -93*m - m**3 + 31*m + 30*m + 42*m - 5 + s*m**2. Calculate w(10).
-5
Let f = -9 + 12. Suppose -f*z - z = 2*h + 10, 5*h + 5*z = -5. Suppose 5*a - 5 = -0*a + 4*n, -h*a + 5 = -2*n. Let k(q) = q**2 - 3*q - 5. Determine k(a).
5
Let x(f) be the second derivative of 5*f**3/6 + 82*f - 2. Give x(-5).
-25
Let v(i) = i - 3. Let k(o) be the first derivative of 2*o**2 - 17*o + 21. Let j be k(6). Determine v(j).
4
Let d(n) be the third derivative of 0*n + 5/24*n**4 + 1/6*n**3 + 0 + 29*n**2. Calculate d(-1).
-4
Let j(b) = b**2 + 10*b - 7. Let t = 145 + -50. Let q = t - 106. Determine j(q).
4
Let g(t) = 1 + 3087*t**2 - 8*t**3 - 3087*t**2. What is g(1)?
-7
Suppose -2*z - 29 = -41. Let j be z/(-45) + (-214)/(-30). Let p(k) be the third derivative of k**5/60 - 7*k**4/24 + k**3 - k**2. Give p(j).
6
Let v be (-2 - (2 - 2)) + 240/12 + -19. Let z(n) = -12*n**2 + n + 1. Let i(b) = -13*b**2 + b + 1. Let y(m) = -6*i(m) + 5*z(m). Calculate y(v).
18
Suppose -4*p = -20, 6*p - 3*p = 5*f + 105. Let a(c) = c**2 + 19*c + 20. Let k be a(f). Let g(i) = -2*i**3 + i**2 + 2*i. Give g(k).
-8
Let s(f) = 4*f**3 - 2*f**2 + f - 4. Let h(y) = y**3 - y**2 - 1. Let d(b) = 5*h(b) - s(b). Let i be ((-6)/4)/((-3)/2 - -1). What is d(i)?
-4
Let k(q) = 25*q + 3. Let b(d) = 29*d + 4. Let w(z) = -4*b(z) + 5*k(z). What is w(-1)?
-10
Let x(q) = -15 + 3*q**2 - 4*q - 4*q**2 + 17*q. Let g be x(12). Let o(a) = -a**2 + 7*a**2 + 4 + a**3 + a - 2*a**2 - 1. Calculate o(g).
9
Let x(l) = 6*l - 1. Suppose -2*y + 6 = -64. Let a = y - 36. What is x(a)?
-7
Let a(x) = 16*x**2 - 10*x + 8. Let o(f) = -8*f**2 + 6*f - 5. Let g(v) = 3*a(v) + 5*o(v). Give g(1).
7
Let f(w) be the first derivative of -1/3*w**3 + 15 - 3*w**2 + 6*w. Determine f(-7).
-1
Let y(h) be the first derivative of 2*h**2 - 4*h + 62. Give y(-4).
-20
Let u(r) = 1627 + r**2 + 5*r - 1627. What is u(-6)?
6
Let b = 1092 + -1087. Let s(w) = w**3 - 5*w**2 - 5*w - 6. Give s(b).
-31
Suppose -18 = 2*q + 4*h, -2*h = -h + 3. Let y(l) = 2*l**3 + 2*l**2 - 3*l - 3. What is y(q)?
-30
Suppose 0 = -k + 2*k + 3. Let u(v) = -v**2 - 4*v + 2. Let j be u(k). Let i be 45/(-18)*6/j. Let y(x) = -4*x. Give y(i).
12
Let w = 9 - 4. Let s(j) = -4*j**3 - 8*j**2 + 8*j - 1. Let y(o) = -o**3 - 4*o**2 + o + 1. Let v(t) = s(t) - 3*y(t). Calculate v(w).
-4
Suppose 5 = -f - 1. Let v(u) = -9*u**2. Let z(q) = 11*q**2 - q + 1. Let i(b) = -5*v(b) - 4*z(b). Determine i(f).
8
Let t = 27 - 23. Let o(u) = -3*u - 6*u + t*u - 2 - u**2 + 0*u**2. Determine o(-5).
-2
Suppose 2*l = l + 3. Suppose 4 = -l*s + 1. Let a(t) = -4*t. Let b be a(s). Let o(d) = -4*d + 4. What is o(b)?
-12
Let s(v) = 0*v**2 - 10 + 803*v**3 - v**2 - 1 - 804*v**3. Let t = 14 + -10. Suppose 4*j = 12, t*z - j = 1 - 4. Calculate s(z).
-11
Let q(r) be the first derivative of r**2 + 10*r - 165. What is q(-5)?
0
Let b(f) = -3*f + 4. Suppose -128 = 20*h - 8. Calculate b(h).
22
Let s(c) be the first derivative of -c**3/3 + 5*c**2/2 + 2*c + 211. Determine s(4).
6
Let i be (-15)/120 + (-3777)/(-8). Let c(w) = -i*w + 475*w + 0*w**2 - 3 - 2*w**2. Determine c(2).
-5
Let j(g) = 3*g + 12*g + 1 - 8*g. Calculate j(-1).
-6
Let n = 210 + -203. Let q(i) = -i**3 + 6*i**2 + 7*i. What is q(n)?
0
Let y(f) = f**2 + 2*f - 1. Let b(g) = g**2 - 3*g - 4. Suppose 4*r = 3*r + 3. Let k be b(r). Calculate y(k).
7
Let i(a) = -4*a - 3. Let j(p) = -p. Let m(z) = -i(z) + 3*j(z). Suppose -3*b + 13 + 2 = 0. Let g be b/(-5) - (-2 - -5). Determine m(g).
-1
Let h(j) = j**3 + 19*j**2 + 13*j - 5. Let r(t) = t**2 + 2. Let x(s) = -h(s) + 4*r(s). Determine x(-14).
-1
Let t(c) be the third derivative of -c**5/60 - c**4/3 + 3*c**3/2 - 2*c**2 - 105. What is t(-8)?
9
Suppose -10*v + 17*v + 35 = 0. Let t(l) = l**3 - 4*l**2. Let w(o) = -2*o**3 + 9*o**2 + 2. Let i(f) = v*t(f) - 3*w(f). Determine i(7).
-6
Let b(s) = s**2 + s + 4. Let c be ((-2)/(-4))/(1/(-26)*1). Let a = c + 13. What is b(a)?
4
Let z(k) = -k**3 + 2*k**3 + 2*k + 0 - 6*k**2 + 4. Suppose 12*n - 2405 + 917 = 0. Let b = n + -119. Give z(b).
-11
Let n be (-1)/2 + (-1)/(-2). Let x(y) = -y + 800*y**2 - 4 - 1 - 799*y**2 - 8. Give x(n).
-13
Let z(i) be the first derivative of -i**4/4 + 2*i**3 - 5*i**2/2 + 5*i + 2. Suppose 0 = 3*u + 3*b - 12, -7*b + 2*b + 5 = 2*u. What is z(u)?
5
Let m(o) = -o**3 - 7*o**2 - 6*o - 4. Let d be (-94 - -2)*4/(-8). Suppose 7*g = -d + 4. Give m(g).
-4
Let m(q) be the first derivative of -1/3*q**3 + 6*q + 49 - q**2. Calculate m(-4).
-2
Let a(g) be the third derivative of g**4/24 + 11*g**3/6 - 16*g**2. Let s(d) = 3*d - 27. Let i be s(7). What is a(i)?
5
Let g(j) be the second derivative of j**4/6 - 2*j**3/3 + j. Suppose 0*v - 38 = -5*n - 2*v, n = -5*v + 26. Let k be (-1)/(2 - 14/n). What is g(k)?
6
Let a(s) = 9*s - 3. Let z(n) = -4*n + 1. Let u(f) = 3*a(f) + 7*z(f). Let k(w) = 10*w**2 + 34*w + 7. Let t be k(-3). Give u(t).
3
Let m(j) = -4*j**2 + j - 1 - j**3 - 6*j**2 + 4*j**2. Let r(l) = -2*l**3 + 9*l**2 - 9*l + 14. Let q be r(4). What is m(q)?
-7
Suppose -10 = -4*s - 3*z, s - 8*z - 8 = -6*z. Let g(b) = b**3 - 3*b**2 - 3*b + 5. Determine g(s).
9
Let b(k) be the second derivative of 1/6*k**3 - 1/6*k**4 - 2*k + 0 - 1/2*k**2. Let y = 133 + -130. Calculate b(y).
-16
Suppose 4*h + 3*c + 20 = 0, 9 = 2*h + 4*c + 19. Let r(j) = 4*j + 7. Determine r(h).
-13
Let g(a) = -a - 18. Let c be 3/(-5) + 141/(-15). Calculate g(c).
-8
Let c(q) = 8*q**2 - 4*q + 1. Let z(m) = -m. Let o(i) = -c(i) + 3*z(i). What is o(1)?
-8
Let m(a) = -3*a - 6. Let j be (-88)/((-16)/4) + -1. Let f = j + -21. Suppose f*l + 3*l + 15 = 0. Determine m(l).
9
Let b(i) be the third derivative of -i**8/6720 + i**7/420 - i**6/720 + i**5/15 + 15*i**4/8 - 45*i**2. Let m(j) be the second derivative of b(j). Give m(6).
2
Let t = 2 + -6. Let p = t - -3. Let w(h) = 2*h**2 - 3*h. Let d(x) = -x. Let r(a) = p*w(a) + 2*d(a). Determine r(-2).
-10
Let w be 3*((-126)/(-2) + 0). Suppose -w*g + 191*g - 14 = 0. Let v(h) = h**2 - 8*h + 8. Give v(g).
1
Suppose 7*r + 14*r = -84. Let j(v) be the first derivative of v**3/3 + 5*v**2/2 + 2*v + 3. Determine j(r).
-2
Let a(y) = -y**3 + 7*y**2 - 7*y + 1. Suppose 3*r - 5*r = 46. Let m = r - -29. Give a(m).
-5
Suppose 0*y - 4*j = -5*y - 12, -j - 6 = y. Let a(p) = -3*p - 6. Calculate a(y).
6
Let m(a) be the third derivative of 0 + 8*a**2 + 7/24*a**4 - 1/60*a**5 - 4/3*a**3 + 0*a. Give m(7).
-8
Let y(p) = p**2 + 4*p + 2. Let x be y(-4). Let j(m) be the first derivative of m**4/4 - m**3 + m**2/2 + 2*m + 51. Give j(x).
0
Suppose 0 = 9*r + 3*r - 72. Let p(q) = -q**3 + 7*q**2 - 5*q - 10. Give p(r).
-4
Let z(c) = -18 - 2*c + c**2 - 3*c**2 + 13. Let k(w) = -2*w**2 - w - 1. Let v(s) = 4*k(s) - z(s). What is v(1)?
-7
Suppose 5*z - z + 2 = -5*c, -1 = z + c. Let x be (-4)/(-10) - 46/(-10). Let p(v) = -v - 3*v + 3*v - x. Determine p(z).
-2
Suppose 7*t = 2*t - 5. Let j(r) = -r - 4. Let u(s) = s + 4. Let a(k) = -5*j(k) - 6*u(k). Let f(q) = 2*q + 3. Let i(b) = -3*a(b) - 4*f(b). Determine i(t).
5
Let q(k) = k + 7. Suppose 2*n - x - 1 = 3*n, 0 = -x + 4. Let p be 2/4*0/(4 + n). Give q(p).
7
Let f(r) = -r**3 - 3*r**2 + 3*r - 2. Let x be f(-4). Let d(v) = -x*v - 25 + 26 + v. Determine d(-4).
5
Let n(a) = -5*a**2 + 2*a - 8. Let f(c) = -4*c**2 + 3*c - 2. Let l(o) = -5*o**
|
{
"pile_set_name": "DM Mathematics"
}
|
t w(h) = -h + 19. Calculate the remainder when w(l) is divided by 7.
5
Suppose -4*a + 3*z - 9 = 0, 0 = -8*a + 3*a + 5*z - 10. What is the remainder when a/(6 - 3)*-79 is divided by 20?
19
Let q be -2*-2*(-3 - -1). Calculate the remainder when 65 is divided by 222/10 + q/40.
21
Suppose 153 = 5*u - 272. What is the remainder when u is divided by 44?
41
What is the remainder when 132 is divided by -3 - 9*(-3 + 1)*1?
12
Let k = 119 + -83. Calculate the remainder when k is divided by 13.
10
What is the remainder when 18 is divided by 0/1 - -3 - -7?
8
Let u(h) = -h**2 - 14*h - 13. Calculate the remainder when 2 - (12/(-9))/((-8)/(-228)) is divided by u(-12).
7
Let h be 5*(2 + -2 - -2). Suppose 0 = -4*y + y + 3, 2*a - 17 = y. What is the remainder when a is divided by (h/8)/((-3)/(-12))?
4
Let a = -23 - -82. Calculate the remainder when a is divided by 20.
19
Suppose r = 5*a + 105, 0 = 5*r - a + 4*a - 385. Calculate the remainder when r is divided by 6.
2
Let k(y) = y**3 + 8*y**2 + 6*y + 11. Suppose -40 = -4*o - z, 0*o + 50 = 5*o - 4*z. What is the remainder when k(-7) is divided by o?
8
Let z be (1/1)/((-3)/(-12)). Suppose 55 = n + z*n. What is the remainder when n is divided by 3?
2
Suppose -5*j - 2*u + 165 = 3*u, -68 = -2*j - 3*u. Let w = -11 + 22. What is the remainder when j is divided by w?
9
Let h(u) = 4*u + 19. Calculate the remainder when h(14) is divided by 27.
21
Let n(l) = l**3 + 2*l - 1. Let t be n(1). Suppose a + 5*v - 42 = 0, 2*a - 3*v = -t*v + 73. What is the remainder when a is divided by 13?
11
Suppose -2*m + 3 - 49 = -2*d, -m = 2*d - 46. Calculate the remainder when 91 is divided by d.
22
Suppose -3*a = -0*a + 6. What is the remainder when (-155)/(-15) - a/(-6) is divided by 4?
2
Suppose s - 62 + 2 = 0. Calculate the remainder when s is divided by 16.
12
Calculate the remainder when 1848/54 - (-4)/(-18) is divided by 7.
6
Let g(y) = -10*y**3 - 2*y**2 - y. Let c be g(-1). Suppose -5*s + c = -11. Calculate the remainder when 15 is divided by s.
3
Calculate the remainder when (4/18*-3)/((-5)/255) is divided by 9.
7
Suppose u + s - 4 = 2*u, 5*s = -2*u - 15. Let o = 17 + u. What is the remainder when o is divided by 5?
2
Let a(h) = 4*h + 4. Let n be -1*4*(-4 + 3). Let q be a(n). Suppose 0*p - 4*p = -q. Calculate the remainder when 8 is divided by p.
3
Suppose 33 = 4*n - 5*r, 3*r + 0 = -4*n - 7. Let v(l) = 10*l**2 - 7*l + 5 + l - n*l**2 - l - l**3. What is the remainder when v(6) is divided by 12?
11
Suppose 5*d + 0 - 10 = 0. Let z = d - 2. Suppose -s + z + 6 = 0. Calculate the remainder when s is divided by 4.
2
Let d be (-4*1 - 0)/(-1). What is the remainder when 0 + 3 - (d - 50) is divided by 13?
10
Suppose -6 + 0 = -3*s. Suppose 0 = 3*b - 4*k - 374, s*b + k - 184 = 47. Calculate the remainder when b is divided by 30.
28
Let p = 0 - 0. Let z = -16 + 40. Suppose p = -2*g - 10 + z. Calculate the remainder when g is divided by 3.
1
Suppose 4*w - 11 = 2*z + 5, -4*z = 4*w - 28. Suppose -2*l = z*l - 40. Calculate the remainder when 29 is divided by l.
9
Let g = 30 - 13. What is the remainder when g is divided by 9?
8
Let p(w) = w**3 - w**2 - 2*w. Let m = 85 + -80. Calculate the remainder when p(3) is divided by m.
2
Suppose -7*j + 6 = -4*j. Suppose 3*u - 13 = j. What is the remainder when 14 is divided by u?
4
Suppose 21 = -2*c - c. Let t = 8 + c. Calculate the remainder when 2 is divided by t.
0
Let r(y) be the second derivative of 2*y**4/3 + 5*y**3/6 + 3*y**2/2 + y. What is the remainder when r(-3) is divided by 21?
18
Suppose 5*h - 13 - 12 = 0. What is the remainder when 11 is divided by h?
1
Suppose 111 = 5*b - 29. What is the remainder when b is divided by 10?
8
Let w(y) = y**3 - 5*y**2 + 2*y - 1. Let b be w(4). Let t = 3 - b. Calculate the remainder when t is divided by 5.
2
What is the remainder when (4/2)/(2/14) is divided by 4?
2
Let z(y) = 2*y - 24. What is the remainder when 57 is divided by z(17)?
7
Let u = 38 - 26. Let x(n) = -3*n**2 - 9*n - 9. Let a be x(-6). Let c = a + 98. Calculate the remainder when c is divided by u.
11
Let z = 0 + 1. Let j = 21 - z. Suppose -x - x + 22 = 0. What is the remainder when j is divided by x?
9
Suppose -6*h + 11*h - 565 = 0. Let j(u) = 11*u - 4. Calculate the remainder when h is divided by j(3).
26
Let k = 8 + 17. Suppose 10 + 40 = 2*l + 3*r, r = -l + k. What is the remainder when l is divided by 13?
12
What is the remainder when 97 - -15 - (0 + 1) is divided by 16?
15
Suppose 44 + 144 = 4*n. Let p = n + -19. Let h = p + 1. Calculate the remainder when h is divided by 10.
9
Suppose -8*k + 11*k = 48. Calculate the remainder when 78 is divided by k.
14
Let q = -6 + 61. What is the remainder when q is divided by 28?
27
Let w(v) = -v**3 - 4*v**2 - 4*v. Let m be w(-3). Let n be 3 + (m - 4)*3. Suppose -2*h - h + 36 = n. What is the remainder when 23 is divided by h?
11
Suppose 0 = -3*c + 8 + 34. Let p(o) = 9*o + 47. Let s(r) = -4*r - 24. Let g(y) = -3*p(y) - 7*s(y). What is the remainder when g(0) is divided by c?
13
Suppose f + 10 = j, -j + 4*f + 28 = 2*j. Suppose 5*c + 2 = 27. Calculate the remainder when j is divided by c.
2
Suppose 125 + 2 = 4*u + 3*a, 0 = -2*u + 5*a + 57. Let c = -13 + u. What is the remainder when c is divided by 5?
3
Suppose 0 = -m + 5*m + 4*g - 44, 0 = -2*g. Calculate the remainder when m is divided by 4.
3
Let r = 17 - 10. Suppose -2 = -5*d - r. Let q(j) = 10*j**2 - j. What is the remainder when 20 is divided by q(d)?
9
Suppose 7*k - 105 = 2*k. Suppose 4*h - h + 4*o - k = 0, -5*o = -4*h + 59. Calculate the remainder when h is divided by 4.
3
Suppose 3*a - 153 = -4*v - 0*a, 4*a + 199 = 5*v. Calculate the remainder when (v/(-4))/(3/(-12)) is divided by (2/(-3))/((-15)/450).
19
Let h be (-30)/4*(-4)/3. Suppose h = 2*q - q - 4*s, 5*q - s = 31. What is the remainder when 5 is divided by 3/q*3*2?
2
Suppose -8*c + 19 = -69. Calculate the remainder when c is divided by 3.
2
Suppose 1 = 3*u + 4*j, -u - 5*j - 22 = -5*u. Suppose -4*z + 46 = u*a, -8*a + 3*a = 4*z - 66. Calculate the remainder when 29 is divided by a.
9
Let b = -29 - -43. What is the remainder when 67 is divided by b?
11
Let p(y) = -y - 7. Let k be p(-3). Let w = 21 + k. Calculate the remainder when 65 is divided by w.
14
Suppose 3*k - 2*k = 87. What is the remainder when k is divided by 15?
12
Let i = 5 - -4. Calculate the remainder when 25 is divided by i.
7
Suppose 4*g + 4*d = 8 + 8, -5 = -2*g - 5*d. What is the remainder when 99/(-6)*4/(-6) is divided by g?
1
Let y be 47/9 + 22/(-99). Let r(o) = o + 4. What is the remainder when 34 is divided by r(y)?
7
Suppose 0 = 2*r - 0*r. Suppose -4*p = -5*x - 63, 2*p - 4*x + r = 24. Suppose -7*l = 2*l - 585. What is the remainder when l is divided by p?
21
Suppose 0*i = 2*m - i - 59, -3*i = -m + 42. What is the remainder when 105 is divided by m?
24
Suppose 4*n - 3*w = -w, 3*w - 12 = 0. Suppose 2*j = -4*j + 198. What is the remainder when j is divided by 10 + 2*(-1)/n?
6
What is the remainder when ((-1998)/(-36))/(-1 - 3/(-2)) is divided by 38?
35
Let f = -23 + 30. Let k(i) = 6*i - 7. Let s be k(7). Suppose 0 = 5*n + 4*l - s, -n + 8 = 5*l - 20. Calculate the remainder when f is divided by n.
1
Let w(g) = -g**2 - 7*g - 6. Let q(c) = -c**2 - 7*c + 4. Let u = -15 - -8. Calculate the remainder when w(-4) is divided by q(u).
2
Suppose -5*i = 18*i - 414. Suppose 3*w = 4*o + 90, 182 = 5*w + o + 3*o. What is the remainder when w is divided by i?
16
Let m be 2512/14 - 6/14. What is the remainder when 24/(-36) - m/(-3) is divided by 15?
14
Let l be (-8)/12 + 5/3. Let g be -5*l/(-1)*-1. Let v = 13 + g. What is the remainder when v is divided by 5?
3
Suppose -3*y - 7*y = -350. Calculate the remainder when y is divided by 11.
2
Let i = -4 - -12. Suppose i = y - 9. Let m = y - 10. Calculate the remainder when 19 is divided by m.
5
Let b be 1/(0 + -2 + 3). Let n be (-20)/(-5) - (1 + b). Suppose 3*l = -a + 35, 0 = -a - n*l + 39 - 9. What is the remainder when 38 is divided by a?
18
Suppose 0 = -6*i + 2*i + 16. Suppose 3*f + i - 13 = 0. Let s = f - -5. Calculate the remainder when 22 is divided by s.
6
Let o(c) = c**3 + 6*c**2 - 5*c - 1. Let n be o(-7). Let j = n + 28. Suppose 3*d - 2 - 10 = 0, -5*d - 52 = -3*f. Calculate the remainder when f is divided by j.
11
Suppose 2*d - 125 = -11. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Which is the biggest value? (a) 3 (b) -0.5 (c) -5/6 (d) 1/4 (e) 4
e
Which is the biggest value? (a) 1.5 (b) 121 (c) 0.2
b
What is the fourth biggest value in 0.2, -336, -4, 0.3?
-336
Which is the fourth smallest value? (a) 0.5 (b) -7/4 (c) 5 (d) -0.02
c
Which is the third smallest value? (a) 5 (b) 15 (c) 1 (d) -5 (e) 2
e
Which is the second biggest value? (a) -5/2 (b) -1 (c) -3
a
Which is the smallest value? (a) 0.1 (b) 5 (c) 3/5 (d) 4
a
Which is the third biggest value? (a) -1/3 (b) 0.1 (c) -10 (d) 4
a
Which is the third smallest value? (a) -2/7 (b) -2 (c) 6 (d) 0.32
d
Which is the third smallest value? (a) -1/8 (b) -2/9 (c) 1 (d) 13/5
c
What is the third biggest value in 2, -6/5, -0.4?
-6/5
What is the third smallest value in -3, 0.3, 1, -81?
0.3
Which is the smallest value? (a) -102 (b) -1 (c) 1/16
a
What is the smallest value in -2/7, 3/7, -0.2?
-2/7
What is the fifth smallest value in 1/9, -1.5, -3, -7/3, 1?
1
Which is the fourth smallest value? (a) 1/113 (b) -2 (c) 1/5 (d) -3
c
Which is the second smallest value? (a) -2/9 (b) 13 (c) 2 (d) -3/8
a
Which is the second smallest value? (a) 2/39 (b) 0.1 (c) 4 (d) -2/9
a
Which is the smallest value? (a) -72 (b) -1/6 (c) -1/9
a
What is the second biggest value in 3, -0.0433, -4?
-0.0433
Which is the second smallest value? (a) 15 (b) 0.06 (c) 5 (d) -0.4
b
What is the second biggest value in 44, 6, 1/7, 3?
6
Which is the smallest value? (a) -847 (b) -4 (c) 0
a
What is the second biggest value in -2/11, 1, -0.19, 2/13?
2/13
Which is the third biggest value? (a) 3 (b) 1/6 (c) 27
b
What is the third biggest value in -33, 3, -0.2?
-33
Which is the second biggest value? (a) -3 (b) 19/5 (c) -5
a
What is the smallest value in 0.6, 0, -5, -3?
-5
Which is the second smallest value? (a) -11 (b) -3 (c) 0.2 (d) 0.5
b
Which is the second biggest value? (a) -44 (b) 4 (c) -3 (d) 1
d
What is the second biggest value in 3, 5, -108?
3
Which is the third smallest value? (a) 2/23 (b) -8 (c) 4 (d) -0.8
a
Which is the second biggest value? (a) 4 (b) 11 (c) -1/8 (d) 1 (e) 4/13
a
What is the second smallest value in 1/4, -101, 0?
0
What is the biggest value in -42/5, -2, 5?
5
Which is the smallest value? (a) 423 (b) -4 (c) 0
b
Which is the third biggest value? (a) 0.4 (b) -1 (c) -9 (d) 2/3
b
Which is the biggest value? (a) -6/11 (b) -315 (c) 4
c
Which is the biggest value? (a) 0.3 (b) 0.07 (c) -0.42
a
Which is the third biggest value? (a) 4 (b) 8/3 (c) -0.3 (d) 0.3 (e) -6
d
What is the third smallest value in 6/17, 0.02, -0.4, -5?
0.02
What is the third smallest value in 110, -4, -0.4?
110
What is the second biggest value in -1.57, -0.5, 0.3?
-0.5
Which is the biggest value? (a) -4 (b) 1 (c) -491 (d) 2 (e) 5
e
What is the second smallest value in 2, 0, 2/75?
2/75
What is the second smallest value in 3, -3, -17/114?
-17/114
Which is the second biggest value? (a) 140 (b) -0.1 (c) -0.2
b
What is the smallest value in -2/3, -0.5, 2/7, -18, 0.4?
-18
What is the third smallest value in 3, 19, 4?
19
What is the third smallest value in -672/17, -1/8, -0.5, -2?
-0.5
Which is the third biggest value? (a) 3/5 (b) 0.002 (c) -0.3
c
Which is the second biggest value? (a) 126 (b) 0.03 (c) -1/2 (d) 1/5 (e) -4
d
Which is the smallest value? (a) -0.5 (b) -2 (c) 1/3 (d) -1/17
b
What is the second smallest value in -1/3, -0.5, 10842?
-1/3
Which is the second smallest value? (a) 0 (b) 0.1 (c) -1 (d) -4/3 (e) -380
d
What is the smallest value in -2, 1, -54?
-54
Which is the third biggest value? (a) 1 (b) 2/25 (c) -0.08 (d) -1/3
c
What is the biggest value in -4, 27, -0.8?
27
What is the fourth smallest value in -4.88, 0, -5, -0.3?
0
Which is the third biggest value? (a) -88 (b) -2/5 (c) -2/11
a
Which is the second smallest value? (a) 5 (b) 0.3 (c) -3/16
b
What is the smallest value in 5/2, -2/7, -458?
-458
Which is the third smallest value? (a) -1/5 (b) -7 (c) 1/2 (d) -2 (e) 0
a
Which is the second biggest value? (a) 1 (b) -4 (c) 0.404
c
Which is the fifth smallest value? (a) -1 (b) -1/9 (c) -50 (d) -0.4 (e) -0.1
e
Which is the third smallest value? (a) 10.9 (b) -3 (c) 0 (d) -4 (e) 16
c
Which is the fourth biggest value? (a) -1 (b) -1/4 (c) 4 (d) 4/175
a
What is the second biggest value in -3/2, 14, -1/4?
-1/4
Which is the third smallest value? (a) -156/5 (b) 2 (c) 5 (d) 2/13
b
Which is the second smallest value? (a) -1/3 (b) -2 (c) -12267
b
What is the third smallest value in -1/4, -8, 173/3, -1?
-1/4
Which is the fourth smallest value? (a) -4 (b) 0.7 (c) 0.1 (d) 6
d
Which is the fourth smallest value? (a) -2/7 (b) 0.1 (c) 1/3 (d) -0.3
c
Which is the smallest value? (a) 1/3 (b) 2/93 (c) -4
c
What is the biggest value in -3/5, -2, -5.642?
-3/5
Which is the fourth biggest value? (a) -1/2 (b) -43 (c) -0.2 (d) 5
b
Which is the second biggest value? (a) 0.0946 (b) -0.3 (c) 0.1
a
Which is the third smallest value? (a) 2/21 (b) 0.001 (c) -3 (d) 0.1
a
Which is the second biggest value? (a) 4 (b) -8/7 (c) -0.2 (d) 134
a
Which is the biggest value? (a) -0.4 (b) 2/5 (c) 0
b
What is the second smallest value in -3/7, -60/17, 0.8, -2, -0.1?
-2
Which is the third smallest value? (a) 1 (b) 3 (c) 0.4 (d) -1/8 (e) 27
a
Which is the biggest value? (a) 3 (b) -0.07 (c) -0.19
a
Which is the third biggest value? (a) 0.5 (b) -3/8 (c) 20
b
What is the second biggest value in 0.4, 1.4, 2/9, -2/5?
0.4
What is the third smallest value in -0.442, -11, -1/5?
-1/5
What is the smallest value in 0.3, -1/7, 0, 3, -2.6?
-2.6
Which is the third smallest value? (a) -12 (b) 1/3 (c) 3/7 (d) -7
b
What is the fourth smallest value in 0.3, 3/5, 1/8, -0.2, 0.5?
0.5
What is the third biggest value in -3/8, -5, -0.08?
-5
What is the second biggest value in -2/25, -4, 1, 0?
0
Which is the biggest value? (a) 1 (b) -16 (c) -8 (d) -0.5 (e) 3
e
Which is the third smallest value? (a) 2/9 (b) -3 (c) 5 (d) -1/46
a
Which is the smallest value? (a) -13 (b) -47 (c) 5
b
What is the biggest value in -0.3, 6, 5, 1/3?
6
What is the third biggest value in 4, 1, -2/3, 4/3, -10?
1
What is the biggest value in 1, -0.84, -5?
1
What is the fourth biggest value in 2/5, -8, 0, -7, -0.04?
-7
Which is the smallest value? (a) -0.3 (b) -2 (c) -37 (d) 0.3
c
Which is the third smallest value? (a) 1/4 (b) 22 (c) 0.1
b
Which is the fourth smallest value? (a) 3 (b) -5 (c) -0.06 (d) -1
a
What is the biggest value in 4, 45, 0.09, -0.4?
45
Which is the third smallest value? (a) 18/11 (b) -1 (c) -2/17 (d) -4 (e) -4/3
b
Which is the smallest value? (a) 0.2 (b) -1/586 (c) -1/5 (d) 3
c
Which is the smallest value? (a) -0.1 (b) -3/7 (c) 0 (d) 2/3
b
What is the fourth smallest value in -5, 0.15, 14/3, 0.5?
14/3
Which is the smallest value? (a) -23 (b) 0 (c) 1/3 (d) 1/5
a
Which is the second biggest value? (a) 5 (b) 0.2 (c) -0.64
b
Which is the biggest value? (a) -4 (b) 0.2 (c) -2/7 (d) 8
d
What is the smallest value in -0.03, -1, -75, 1/10?
-75
What is the fourth biggest value in 2, 0.2, 4, 1/9?
1/9
What is the smallest value in -1, -0.03, 3, -1/2?
-1
What is the third smallest value in -0.5, 2/17, 3362?
3362
What is the biggest value in 4, -3, 3/31, -0.3?
4
What is the third smallest value in 2, -0.95, 0.3?
2
What is the third smallest value in -3, 0.3, 2/9, -1?
2/9
What is the smallest value in -0.1, -2, 6/23, 4?
-2
What is the second smallest value in 0.3, -333, -2?
-2
What is the third smallest value in 1, 2/119, 0.4, -4?
0.4
Which is the second smallest value? (a) 11.9 (b) -0.1 (c) 2 (d) -2
b
Which is the fifth smallest value? (a) -0.3 (b) 0.03 (c) -0.5 (d) 3 (e) -5
d
What is the second biggest value in 3, 21, -0.1?
3
What is the third smallest value in 0.11, -0.3, -3/2, 38?
0.11
What is the second smallest value in -0.683, 4, 1?
1
What is the biggest value in 2/753, -6, -0.2?
2/753
Which is the second smallest value? (a) -6 (b) -14 (c) 6
a
Which is the second smallest value? (a) 0.232 (b) 4 (c) -1/4
a
What is the third biggest value in 1/6, -4, 4, 3, 0.04?
1/6
What is the fifth smallest value in 105, 0, -0.3, 0.2, 0.1?
105
What is the third bigg
|
{
"pile_set_name": "DM Mathematics"
}
|
8
Find the first derivative of -468*j*z**3 - 45*j*z**2 - j*z - j - 441273*z**3 - 2*z wrt j.
-468*z**3 - 45*z**2 - z - 1
Differentiate -5446933*g - 19250704 wrt g.
-5446933
Find the first derivative of -349571669*i**3 + 688479705 wrt i.
-1048715007*i**2
Find the third derivative of 671*a**3*d - 5000*a**3 - 23537972*a**2*d wrt a.
4026*d - 30000
What is the first derivative of -34*m*n*y**2 + 2*m*n*y - 137924*m*n - 341*n*y**2 - 93*n*y + n + 10*y**2 + 4*y wrt m?
-34*n*y**2 + 2*n*y - 137924*n
Find the second derivative of 644929*l**2 + 13*l + 593335 wrt l.
1289858
What is the second derivative of 3*b**3 - 3126324*b**2 - 147491*b + 291 wrt b?
18*b - 6252648
What is the second derivative of -4*b**3*g**2*v - 117034*b**3*g*v + 2*b**3*g + 15*b**2*g*v - 92574*g**3*v wrt g?
-8*b**3*v - 555444*g*v
Find the third derivative of 4*k**6 + 101932*k**5 - 2*k**3 - 12999483*k**2.
480*k**3 + 6115920*k**2 - 12
Find the third derivative of 53730880*h*l**4 - 7*h*l**3 + 848118*h*l**2 + 221*l**2 wrt l.
1289541120*h*l - 42*h
What is the second derivative of m**2*x - 2234055*m**2*z**2 - 20802*m**2*z + 122*m*x*z**2 - x*z - 48*x wrt z?
-4468110*m**2 + 244*m*x
Find the first derivative of -618*f**3 + 3946*f**2*i**3 + 677*i**3 - i**2 + 4057*i wrt f.
-1854*f**2 + 7892*f*i**3
Find the second derivative of -7330127*p**3 - 168668063*p wrt p.
-43980762*p
What is the third derivative of 4*z**5 + 10*z**4 + 19880*z**3 - 3834994*z**2?
240*z**2 + 240*z + 119280
What is the first derivative of -2788*b**2*d*u**3 + 639*b**2*u**3 + 2*b**2 + 5317*b*d*u**3 - 2*b*u - b + 604*u**3 + u**2 wrt d?
-2788*b**2*u**3 + 5317*b*u**3
Differentiate -375111564*l - 383188949 with respect to l.
-375111564
Find the second derivative of 64904097*z**3 + 4385009*z - 2 wrt z.
389424582*z
Find the third derivative of 8675239*s**5 + s**3 - 13*s**2 + 36*s + 3770.
520514340*s**2 + 6
Differentiate 6014*l**2 + 276*l + 43166238.
12028*l + 276
What is the derivative of 1897578*z**2 - 7984566 wrt z?
3795156*z
Differentiate -235*r*s**2 + 19*r*s + 5770*r - 2099*s**2 - 48*s + 740 wrt r.
-235*s**2 + 19*s + 5770
What is the second derivative of 9184*t**2*v**2 - 67*t**2*v - 3*t + 8487232*v**2 wrt t?
18368*v**2 - 134*v
What is the derivative of 1396662*r**2*s**2 - 67*r**2*s - 13953*r**2 - 4287 wrt s?
2793324*r**2*s - 67*r**2
What is the derivative of 1216330*j**2 + 28648107 wrt j?
2432660*j
What is the third derivative of -17250810*r**5 + 15014727*r**2?
-1035048600*r**2
What is the third derivative of -15*k*r**3*y + 72*k*r**3 + 22*k*r**2*y**2 - 71*k*r*y**2 - 18*k*y**2 + 22*r**3*y**2 - 2*r**2*y**2 - 2*r**2*y - 18*r**2 wrt r?
-90*k*y + 432*k + 132*y**2
Find the third derivative of g**3*j**2 - 12069509*g**3*j + 11*g**2*j**2 - 48*g**2 + 5*g*j**2 - 67 wrt g.
6*j**2 - 72417054*j
What is the third derivative of 1942*d**5 + 17541*d**4*w + 5*d**2*w - 32*d**2 + 5*d*w - 2*d + 78*w - 3 wrt d?
116520*d**2 + 420984*d*w
Find the second derivative of -81875644*j**5 - 134881544*j - 2.
-1637512880*j**3
Find the third derivative of 6777144*i**3*s**2 + i**3*s - 5*i**3 + 10*i**2*s**2 + 677474*i**2*s wrt i.
40662864*s**2 + 6*s - 30
What is the derivative of 6832692*r + 6872741 wrt r?
6832692
Find the third derivative of -76*b**2*w**3 - 8*b**2*w - 22*b*w**3 + 6254*w**3 + 1582915*w**2 wrt w.
-456*b**2 - 132*b + 37524
Find the second derivative of -g*x**3 - 80*g*x**2 + 142578*g*x - 4*g + 2*x**3 - 1045*x**2 + 10 wrt x.
-6*g*x - 160*g + 12*x - 2090
What is the second derivative of 253511842*f**5 + 133727422*f wrt f?
5070236840*f**3
What is the second derivative of 167*d*t*v**2 + 4*d*t*v - d*v - 12*d - 148*t*v**2 - 565*t*v - t + 717*v**2 - v + 6 wrt v?
334*d*t - 296*t + 1434
Find the third derivative of -137659123*b**6 - 74103661*b**2 wrt b.
-16519094760*b**3
Find the second derivative of -1157811198*k**3 - 573796221*k.
-6946867188*k
Find the third derivative of -1449768*a**4*g**2 - 4*a**3 + 52*a**2*g**2 - 212*a**2 wrt a.
-34794432*a*g**2 - 24
What is the second derivative of -15776672*o**2*z**3 + 59*o*z**3 - 2861205*o*z**2 wrt o?
-31553344*z**3
What is the third derivative of l**6 + 9736*l**5 + 13*l**3 - 18252541*l**2 wrt l?
120*l**3 + 584160*l**2 + 78
What is the third derivative of 52945*q*x**3 - 845*q*x + x**3 - 505*x**2 wrt x?
317670*q + 6
Find the second derivative of -103241106*i**2 + 551728057*i.
-206482212
Find the second derivative of 865722*c**5 + 2*c**3 + 10773150*c wrt c.
17314440*c**3 + 12*c
Find the third derivative of 27927758*c**3*d - 2*c**2*d - 2*c*d - c + 60112*d wrt c.
167566548*d
Differentiate 75570210*f*z + 14983745*z with respect to f.
75570210*z
What is the derivative of 212882653*s*x**3 + 1251*s - 4669 wrt x?
638647959*s*x**2
Find the second derivative of 35*t**3*v + 21029*t**3 + 10*t**2*v - t**2 - 45*t*v + 1619212*v wrt t.
210*t*v + 126174*t + 20*v - 2
Find the second derivative of -2*q**4 - 5*q**3 + 8694333*q**2 + 93159*q + 973.
-24*q**2 - 30*q + 17388666
What is the first derivative of 251*j**2 - 24863*j - 16747726?
502*j - 24863
What is the second derivative of -100*i**3*s - 127147*i**2*s + 5*i*s + 51*i - 8309*s + 2 wrt i?
-600*i*s - 254294*s
Find the second derivative of 220721*l**3 - 1122*l**2 - 156810607*l wrt l.
1324326*l - 2244
Find the first derivative of 41222952*k**4 + 16738093 wrt k.
164891808*k**3
Differentiate 30015918*k + 16005639.
30015918
Differentiate -7*m*u + 16*m - 7330335*u - 2732770 wrt u.
-7*m - 7330335
What is the first derivative of 153*a**3 + 2*a**2 + 432*a + 30138776?
459*a**2 + 4*a + 432
What is the second derivative of 5732*a**3*k + a**2*i*k - 9700*a**2*i + 33*a*i*k - 2*a*i - 22*a*k + 2*a + 5*i*k + 31*i - 1 wrt a?
34392*a*k + 2*i*k - 19400*i
Find the first derivative of -6591046*b**4*n**2 + 351441*n**2 + 2*n wrt b.
-26364184*b**3*n**2
Differentiate -14578438*v**2*x - 200723286*v**2 wrt x.
-14578438*v**2
Find the second derivative of 26995*b*z**2 + 2441*b*z + 4*b - 74*z**2 - 6*z - 1 wrt z.
53990*b - 148
What is the third derivative of -57877034*l**3*y**2 + 9*l**2*y**2 - 219*l**2 - 4*l*y**2 - 2*y**2 + 317 wrt l?
-347262204*y**2
What is the third derivative of 187912045*s**6 - s**2 + 30181208 wrt s?
22549445400*s**3
What is the derivative of 525*f**3*y - 117254487*f**3 - 31*f**2*y - 117*y wrt y?
525*f**3 - 31*f**2 - 117
Differentiate -45866397*y**2 + 54074362 with respect to y.
-91732794*y
What is the third derivative of -8895119*i**3 - i**2 - 244685?
-53370714
Find the third derivative of -9*b**4 + 2741628*b**3 - 19144264*b**2.
-216*b + 16449768
Find the first derivative of 11*a*g**2*z - 3463945*a + 7867435*g**2*z - 10*z wrt g.
22*a*g*z + 15734870*g*z
Find the third derivative of -5932*n**5 + 49*n**4 + 3*n**3 - 2*n**2 + 4*n - 629803.
-355920*n**2 + 1176*n + 18
Find the second derivative of -18027883*n**2 + 3*n - 1353171.
-36055766
What is the second derivative of 193933*l**2*o**2 - 2*l**2*o - 2*l**2 - 2*l*o**2 - 2*l*o + 2*l + 89*o wrt o?
387866*l**2 - 4*l
Differentiate 11874*b**3 + 7120*b**2 + 2*b + 106983698.
35622*b**2 + 14240*b + 2
Find the first derivative of -51146675*b**4*z + 2055067*z + 2 wrt b.
-204586700*b**3*z
Differentiate -p**3 + 6308888*p + 15649888 wrt p.
-3*p**2 + 6308888
What is the third derivative of -291034022*v**6 + 16792*v**2 + 2361 wrt v?
-34924082640*v**3
Find the third derivative of i**6 - 28324291*i**5 + 2175*i**2 + 18*i - 102.
120*i**3 - 1699457460*i**2
What is the third derivative of 7766*u**4 - 67*u**3 - 5*u**2 + 22*u - 108331 wrt u?
186384*u - 402
Differentiate -87313476*a**2*h**4 - 3*a**2 - 1116*a - 7238 with respect to h.
-349253904*a**2*h**3
What is the third derivative of -65668134*u**4 - 111749542*u**2?
-1576035216*u
Find the second derivative of t**4 + 4853*t**3 + 20*t**2 - 3465885*t + 56 wrt t.
12*t**2 + 29118*t + 40
What is the second derivative of -957*m**3 + 469*m**2 - 14*m - 115800?
-5742*m + 938
Differentiate 378284381*a**2*x**2 - 389658257*a**2 with respect to x.
756568762*a**2*x
What is the third derivative of 1218*f**4*u - 12*f**4 + 900*f**3 + 486034168*f**2 - 2*u wrt f?
29232*f*u - 288*f + 5400
What is the first derivative of -33*z**2 + 309966*z - 241569873 wrt z?
-66*z + 309966
What is the third derivative of -6850303*v**4 + 1362504*v**2?
-164407272*v
What is the second derivative of -89*b*r**2*s + 478*b*r**2 + 101*b*r*s + 3*b*r - 20*r**2*s + 22428*r*s w
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{
"pile_set_name": "DM Mathematics"
}
|
*6 + 0*g**7 + 0*g**3 + 0*g**4 - 1/60*g**5. What is the third derivative of f(l) wrt l?
-60*l**2
Let x(o) be the second derivative of -1/2*o**3 + 1/6*o**4 + 0*o**2 + 0 - o. What is the second derivative of x(g) wrt g?
4
Let t(c) be the second derivative of 1/3*c**4 + 2*c + 0*c**3 - 5/2*c**2 + 0. What is the first derivative of t(o) wrt o?
8*o
What is the third derivative of -2 + 2*p**3 + 0*p**2 + 2 + 6*p**2 wrt p?
12
Let s(u) be the third derivative of u**7/30 - 5*u**3/6 - 9*u**2. Differentiate s(n) with respect to n.
28*n**3
Let z(r) = -r**2 - 17*r - 14. Let s be z(-16). What is the third derivative of -2 - 15*k**4 + s - 3*k**2 + 4*k**4 wrt k?
-264*k
Suppose v = -1, -18 = -3*g - 0*g - 3*v. Let h(x) = -x - 7. Let y(k) = 3. Let p(a) = g*y(a) + 4*h(a). What is the first derivative of p(q) wrt q?
-4
Let k(i) be the first derivative of i**6/2 + i**3/3 - 7. What is the third derivative of k(z) wrt z?
180*z**2
Let j = -26 - -30. Let k(n) be the third derivative of 1/120*n**6 + 0*n**5 - 3*n**2 + 0 - 1/12*n**j + 0*n**3 + 0*n. Find the second derivative of k(b) wrt b.
6*b
Let m(h) be the third derivative of h**6/360 - h**5/24 + h**4/8 + 3*h**2. Let z(r) be the second derivative of m(r). Differentiate z(x) wrt x.
2
Let p = -116 + 121. Let u(g) be the third derivative of -g**2 + 0*g**4 + 0*g - 1/120*g**6 + 0*g**3 + 0 + 1/30*g**p. What is the third derivative of u(k) wrt k?
-6
Let q(w) = w - 12. Let g be q(7). Let h(s) = 4*s**2 - 2*s - 6. Let c(f) = 9*f**2 - 5*f - 12. Let t(z) = g*h(z) + 2*c(z). Differentiate t(n) wrt n.
-4*n
Let d(b) = 3*b**2 - 6*b - 2. Let x = 8 + -10. Let c(i) = i**2 - 1. Let s(m) = x*c(m) + d(m). What is the second derivative of s(a) wrt a?
2
Let q(y) = y**2 - y. Let v(a) = -2 + 3 - 2 + 0 - 4*a - 2*a**2. Let h(o) = -4*q(o) + v(o). What is the derivative of h(i) wrt i?
-12*i
Let n(h) be the first derivative of 2*h**7/7 - 20*h**6/3 - 2*h**3/3 - h + 2. Find the third derivative of n(f) wrt f.
240*f**3 - 2400*f**2
Suppose -2 = -6*m + 5*m. Suppose 8 = 4*p - 3*z, -4*z - m + 0 = -p. What is the second derivative of y**3 + 3*y + 0*y - p*y wrt y?
6*y
Let r(a) be the second derivative of -3*a**5/10 + 3*a**2/2 - a. What is the first derivative of r(m) wrt m?
-18*m**2
Suppose -3*f + 4*f = -4*b + 10, 2*b + 2*f - 8 = 0. Find the third derivative of 3*d**5 + 4*d**b - 8*d**2 - 2*d**5 + d**5 wrt d.
120*d**2
Let z(y) = 31*y**2 - 11*y + 16. Let m(x) = -6*x**2 + 2*x - 3. Let j(v) = 33*m(v) + 6*z(v). Differentiate j(d) wrt d.
-24*d
Let i(c) = -11*c**2 - 33. Let k(y) = -10*y**2 - 33. Let l(u) = 4*i(u) - 5*k(u). What is the first derivative of l(s) wrt s?
12*s
Let h(g) be the first derivative of g**2 + 16*g + 9. Differentiate h(p) wrt p.
2
Suppose -8 = -5*w + 2. Suppose -5*t + 4*t = u + 1, 4*t + w*u + 2 = 0. What is the third derivative of -2*o**6 - 2*o**2 + t*o**2 + 0*o**2 wrt o?
-240*o**3
Let c(u) be the third derivative of -u**6/360 - u**5/60 - u**3/3 + 3*u**2. Let j(w) be the first derivative of c(w). Find the second derivative of j(r) wrt r.
-2
Let d(i) be the first derivative of 5*i**7/21 - 5*i**4/12 + 4*i - 8. Let k(v) be the first derivative of d(v). Find the third derivative of k(j) wrt j.
600*j**2
Let t(j) = 1. Let c(r) = -11*r**2 - 29. Let d(x) = c(x) - 4*t(x). What is the derivative of d(y) wrt y?
-22*y
Let r(q) be the first derivative of -4*q + 4 + 0*q**2 + 0*q**3 + 0*q**4 + 4/5*q**5. Find the first derivative of r(y) wrt y.
16*y**3
Let v be 2 - 0/(1 + 0). Let h(d) be the first derivative of 0*d**v - 2/3*d**3 - 1/2*d**4 - 2 + 0*d. Find the third derivative of h(y) wrt y.
-12
Let j(t) = t**3 + 3*t**2 - 2*t - 1. Let v be j(-3). Find the third derivative of 0*z**v + 0*z**5 + z**5 - 6*z**2 wrt z.
60*z**2
Let i(t) = 10*t**2 + 11. Let k(z) = 20*z**2 + 22. Let w(m) = 5*i(m) - 2*k(m). Differentiate w(g) with respect to g.
20*g
Let j(d) = -d**3 - 11*d**2 + 13*d + 15. Let m be j(-12). What is the first derivative of l**2 - m + 2 - 3 wrt l?
2*l
Find the first derivative of -2*k**3 - 2*k**3 - 4*k**3 - 2*k**3 + 13 wrt k.
-30*k**2
Let h(r) be the first derivative of r**5/5 + 3*r + 5. Differentiate h(q) with respect to q.
4*q**3
Let i(s) = -3*s**3 - s - 9. Let w(z) = z**3 + z + 1. Suppose 1 = 2*l - 1. Let a(c) = l*w(c) + i(c). Find the first derivative of a(d) wrt d.
-6*d**2
Find the third derivative of 5 - 12 + 19*v**4 + 7 + 9*v**2 wrt v.
456*v
Find the second derivative of -11*s**4 + 2*s + 3*s + 3*s**4 wrt s.
-96*s**2
Let f(u) be the first derivative of u**5/40 + u**4/8 - u**3/3 + 1. Let j(z) be the third derivative of f(z). Differentiate j(b) wrt b.
3
Let x(y) be the third derivative of y**6/144 + y**5/24 + y**4/6 + 7*y**2. Let c(q) be the second derivative of x(q). What is the derivative of c(i) wrt i?
5
Let n(u) be the third derivative of u**8/840 + 5*u**4/24 - u**3/6 - 2*u**2. Let y(t) be the first derivative of n(t). What is the derivative of y(f) wrt f?
8*f**3
Let j(f) = f**5 - f**2 - 1. Let v(z) = -16*z**5 - 6*z**2 + 13*z - 6. Let t(y) = 6*j(y) - v(y). What is the second derivative of t(i) wrt i?
440*i**3
Suppose -5*j = 2*b - 37, -3*j - 2*j - 5 = -5*b. Differentiate 5*m - 4*m + 5 - b*m wrt m.
-5
What is the derivative of 6*t**2 + 9*t**2 - 5*t**2 + 38 - 44 wrt t?
20*t
Let t(s) = s**4 + 3*s**2. Let y be 2/3 - 60/9. Let p(l) = -9*l**2 + 2 - 2 - l**4 + 6*l**2. Let b(k) = y*t(k) - 5*p(k). Find the third derivative of b(x) wrt x.
-24*x
What is the third derivative of 7*d**2 - 6*d**3 + 2*d**3 - 7*d**3 wrt d?
-66
Let h(i) = -4*i**2 + 2*i**2 + 3*i**3 + 2*i**4 - i**2 - 6. Let y(f) = f**4 + f**3 - f**2 - 1. Let u(v) = h(v) - 3*y(v). Differentiate u(t) wrt t.
-4*t**3
Suppose 2*a = a. Let g(i) be the second derivative of -1/15*i**6 + 0*i**3 + a*i**4 + 1/2*i**2 + 2*i + 0 + 0*i**5. Find the first derivative of g(d) wrt d.
-8*d**3
Find the third derivative of 8*b**5 - 2*b**5 - 2*b**5 - 6*b**2 + b**5 wrt b.
300*b**2
Let g(n) be the second derivative of -n**2 + 0*n**4 - 3/20*n**5 - n + 0*n**3 + 0. Differentiate g(i) wrt i.
-9*i**2
Let l(h) = 9*h**4 + 3*h**2 + 19*h + 3. Let u(p) = -64*p**4 - 20*p**2 - 132*p - 20. Let k(w) = 20*l(w) + 3*u(w). Find the second derivative of k(z) wrt z.
-144*z**2
Let n = 11 + -9. What is the derivative of 0*r**2 + 3 - r**2 + 0*r**2 + n wrt r?
-2*r
Suppose -6*g + 6 = -3*g. Find the third derivative of -12 + 12 + 4*n**g - 2*n**2 - 4*n**6 wrt n.
-480*n**3
Suppose 0 = 3*j - 3, 3*k = -5*j + 14 + 6. Suppose -k*y = 2 - 7. Differentiate 0 - y - 3 + z**2 with respect to z.
2*z
What is the second derivative of 29*q - 116*q**2 + 116*q**2 - 51*q**3 wrt q?
-306*q
Let d(a) = 4*a**3 + 2*a - 4. Let v(k) = -9*k**3 - 5*k + 7. Let q = -14 + 16. Let n(x) = q*v(x) + 5*d(x). Differentiate n(l) wrt l.
6*l**2
Suppose -2*p - 2*p + 16 = 0. Suppose 2*m - 18 = -p*f, 0 = f + f - m - 3. Find the second derivative of -u - u + f*u**4 - 2*u**4 wrt u.
12*u**2
Find the first derivative of 6 - 11 - 1 - 4 - l**2 wrt l.
-2*l
Suppose 3*j + 6 = -0*j. Let q(w) = w**3. Let a(r) be the third derivative of -r**3/6 + 4*r**2. Let t(f) = j*q(f) + 3*a(f). What is the derivative of t(i) wrt i?
-6*i**2
Let v(w) be the third derivative of -w**9/3024 - 7*w**5/120 + w**4/24 - 7*w**2. Let m(q) be the second derivative of v(q). Differentiate m(c) with respect to c.
-20*c**3
Find the second derivative of -19*d**2 + 116*d - 238*d + 121*d + 3 wrt d.
-38
Let j(q) be the first derivative of -q**6 + 7*q**3/3 - 8. Find the third derivative of j(b) wrt b.
-360*b**2
Let q(x) = -9*x**5 + 3*x**4 - 7*x**2 + 3*x. Let v(y) = -y**4 - y**2 - y. Let j(n) = -q(n) - 3*v(n). What is the third derivative of j(i) wrt i?
540*i**2
Let u(v) = -40*v**2 + 12*v - 2. Let c(w) = -16*w**2 + 5*w - 1. Let t(z) = -12*c(z) + 5*u(z). Differentiate t(a) with respect to a.
-16*a
Let a(v) = v**3 - 9*v**2 + 7*v + 11. Let q be a(8). Find the second derivative of -k**3 + 6*k + q*k**3 - 2*k wrt k.
12*k
Let x(u) = -2*u**3 - 4*u + 4. Let a(h) = 5*h**3 - h**2 + 9*h - 9. Let r = -30 - -21. Let s(d) = r*x(d) - 4*a(d). What is the third derivative of s(n) wrt n?
-12
Let m(h) = -28*h**3 - 16*h**2 - 5. Let q(p) = -29*p**3 - 17*p**2 - 6. Let c(s) = -6*m(s) + 5*q(s). Find the third derivative of c(a) wrt a.
138
Let j = -93 + 51. Let r be 1/(-4) + j/(-8). What is the second derivative of -z - r*z**5 + 6*z**5 - z wrt z?
20*z**3
Let y(q) = 5*q*
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{
"pile_set_name": "DM Mathematics"
}
|
nd derivative of c(r) wrt r.
6*r
Let f(o) = 4*o + 3. Let u be f(-3). Let y = 29 + u. Find the second derivative of y*b - 30*b + 7*b**3 + 16*b wrt b.
42*b
Let n = 5 + 0. Find the second derivative of n*t**2 + 14*t + 3*t**2 - 4*t - 11*t**2 wrt t.
-6
What is the derivative of 400*d - 119 - 799*d + 476*d**3 + 399*d + 179*d**3 wrt d?
1965*d**2
Find the second derivative of 27688*p**2 - 71*p + 5*p - 27687*p**2 - 54*p**3 wrt p.
-324*p + 2
Let p(b) = 916*b - 840. Let n(o) = 131*o - 120. Let t(a) = -20*n(a) + 3*p(a). What is the derivative of t(y) wrt y?
128
Let t be (-2)/(-20) - (-49)/(-840). Let s(a) be the third derivative of 4*a**2 + 0*a + 0 + 2/3*a**3 - t*a**4. Differentiate s(g) wrt g.
-1
Let z(k) be the second derivative of -21*k**5/5 + 157*k**4/12 - 55*k. Find the third derivative of z(o) wrt o.
-504
Let h(t) = 2*t**2 - 2*t - 1. Let k(x) = -101*x**3 - 8*x**2 + 6*x + 254. Let p(u) = 4*h(u) + k(u). Find the first derivative of p(d) wrt d.
-303*d**2 - 2
Let f = 46 + -36. What is the second derivative of 28*a**2 - a**4 - 21*a - f*a**4 - 22*a + 9*a**4 wrt a?
-24*a**2 + 56
Let h(j) be the second derivative of j**8/168 - j**5/30 + 5*j**3/2 + j. Let n(o) be the second derivative of h(o). What is the second derivative of n(w) wrt w?
120*w**2
Let o(v) be the second derivative of v**4/12 + 17*v**3/6 + 9*v**2 + 2*v. Let p be o(-16). What is the third derivative of -w**p - w**3 - 6*w**2 - 6*w**3 wrt w?
-42
Let p(q) be the third derivative of 229*q**7/105 + q**6/120 - 25*q**4/2 + 2*q**2 - 428*q. What is the second derivative of p(h) wrt h?
5496*h**2 + 6*h
Let r be 11*2 - (6 + -4 + -5). Differentiate r - 35 + 0*m + 25*m + 53 with respect to m.
25
Let y(f) = -f**2 - 10*f - 16. Let w be y(-8). What is the second derivative of 12*k**4 + 0*k**2 + 6*k + w*k**2 - 2*k**4 wrt k?
120*k**2
Let j(c) be the second derivative of -c**5/3 - 13*c**3/6 - 9*c**2/2 + 17*c. Let r(q) be the first derivative of j(q). Differentiate r(y) with respect to y.
-40*y
Let c(k) be the third derivative of 223*k**7/210 + 13*k**5/12 - k**4/4 - 2*k**2 - 35*k. What is the third derivative of c(m) wrt m?
5352*m
Let z(m) be the first derivative of -121*m**5/5 - 7*m**2/2 + 124. Find the second derivative of z(l) wrt l.
-1452*l**2
Let p(x) = 40*x - 541. Let l(q) = 82*q - 1083. Let n(m) = 3*l(m) - 7*p(m). Find the first derivative of n(c) wrt c.
-34
Let k(r) = -r + 12. Let u be k(5). Suppose 5 = -i + u. Find the third derivative of 13*q**4 - 3*q**2 - 13*q**4 + i*q**2 + 4*q**6 wrt q.
480*q**3
Let k(t) be the second derivative of t**9/504 + 37*t**5/60 + 17*t**2 - 25*t. Let j(y) be the first derivative of k(y). Find the third derivative of j(z) wrt z.
120*z**3
Let k(i) = -51*i - 18. Let n be k(-3). What is the third derivative of -135*l - 3*l**2 + 4*l**5 + n*l wrt l?
240*l**2
Let k(h) be the second derivative of 0*h**5 - 4/3*h**4 + 0*h**3 + 0 - 11*h + 0*h**6 - 8/21*h**7 + 0*h**2. What is the third derivative of k(m) wrt m?
-960*m**2
Let a(c) = -c**3 + c - 1. Let g(o) = -433*o**3 + 135*o**2 - 5*o + 5. Let d(y) = 5*a(y) + g(y). Find the third derivative of d(m) wrt m.
-2628
Let f(i) = -2*i + 46. Let c be f(19). Let k be ((-16)/20)/(4/(-10)). Find the third derivative of 3*x**4 + c*x**2 + 0*x**k - 4*x**4 wrt x.
-24*x
Let p = -137 - -139. Let s(a) be the first derivative of 0*a - 2/5*a**5 + 0*a**3 + 0*a**4 - 3/2*a**2 + p. Find the second derivative of s(k) wrt k.
-24*k**2
Let x(g) be the first derivative of -7*g**4/12 - 23*g**3/6 + 7*g**2 + 11. Let d(f) be the second derivative of x(f). Differentiate d(k) with respect to k.
-14
Let j(f) = f**2 - f - 1. Let b be j(-1). Suppose r - b = 1. Find the second derivative of 0*h**2 - 4*h**r - 5*h + 2*h**2 + h**2 wrt h.
-2
Let q(i) be the first derivative of -2*i**3/3 - 18*i**2 - 126*i + 100. What is the derivative of q(p) wrt p?
-4*p - 36
Let s(b) be the second derivative of -51*b**5/20 + 3*b**4/4 + 131*b**2 - 20*b. Find the first derivative of s(n) wrt n.
-153*n**2 + 18*n
Suppose -13 = -5*x + 4*f, 3*x = -2*f + 13 + 8. Let c(o) = 5*o - 2. Let v be c(2). Find the second derivative of -30*t**3 + 28*t**3 - x*t + v*t wrt t.
-12*t
Find the first derivative of -2*x + 47 + 19*x + 7*x wrt x.
24
Let z(b) be the third derivative of 8*b**7/105 + b**6/60 + 13*b**5/15 - 200*b**2. What is the third derivative of z(c) wrt c?
384*c + 12
Let a(u) be the first derivative of 0*u - 5/3*u**3 + 3*u**2 - 6. What is the second derivative of a(y) wrt y?
-10
Let j be -2 - (44/5)/(2/5). Let d(t) = 90*t**2 + 24*t - 81. Let b(g) = 18*g**2 + 5*g - 16. Let l(n) = j*b(n) + 5*d(n). Differentiate l(r) wrt r.
36*r
Let g(v) be the first derivative of 0*v**5 - v**6 + 0*v**2 + 7 + 0*v**4 + 10/3*v**3 + 0*v. What is the third derivative of g(t) wrt t?
-360*t**2
Let p(a) = -a - 21. Let h be p(-9). Let y be (-8)/h*(-24)/(-4). Find the first derivative of -7*v**y + 2 - 11 + 0*v**4 wrt v.
-28*v**3
What is the derivative of -14*k**2 + 14*k**2 + 14*k**2 - 7 + 14*k**2 + 16*k**2 wrt k?
88*k
Let o(w) = -w**2 - w - 1. Let j(b) = -344*b**4 - 5*b**2 - 11*b - 2. Let p(h) = j(h) - 5*o(h). Find the second derivative of p(d) wrt d.
-4128*d**2
Suppose -8*i + 7*i = 2. Let o be i/5 - (-216)/40. Find the second derivative of -5*z**5 + 2*z - 2*z + 4*z - 3*z**o wrt z.
-160*z**3
Find the second derivative of -3*r**2 + 77*r - 12*r**2 - 48*r - 236*r - 172*r wrt r.
-30
Let u(n) = 88*n**4 + 5*n**3 + 2*n + 593. Let a(p) = -89*p**4 - 6*p**3 - 2*p - 592. Let s(l) = -5*a(l) - 6*u(l). Find the second derivative of s(d) wrt d.
-996*d**2
Let z(b) be the second derivative of 13*b**6/40 - 7*b**3/2 - b**2 - 31*b. Let v(u) be the first derivative of z(u). Find the first derivative of v(y) wrt y.
117*y**2
Let t(y) be the first derivative of -1/3*y**3 + 0*y + 10 + 0*y**2 + 11/4*y**4. What is the third derivative of t(r) wrt r?
66
Let y(d) = 3*d**2 - d + 2. Let g be y(2). Find the second derivative of g*r**5 + 88*r - 36*r - 44*r wrt r.
240*r**3
Let g(o) be the first derivative of -3*o**4/4 + 8*o**3 + 475*o**2/2 - 91. What is the second derivative of g(f) wrt f?
-18*f + 48
Let y(k) be the first derivative of k**8/840 - k**5/40 - 14*k**3/3 + 13. Let a(b) be the third derivative of y(b). What is the second derivative of a(t) wrt t?
24*t**2
Suppose l = 2*f - 3*f - 2, 3*l + 24 = 3*f. Suppose f*t - 76 = 107. Find the second derivative of 51*n**5 + 6*n - t*n**5 - 2*n + 5*n wrt n.
-200*n**3
Suppose 2*l + 2*l = 2*n + 18, 3*l = 4*n + 16. Suppose 4*t = -13 + 1, -5*t - 20 = -p. What is the second derivative of -133 + 3*h + 133 - p*h**l wrt h?
-60*h**2
Let n(s) be the first derivative of 0*s**4 + 36*s + 0*s**3 - s**2 + 19/3*s**6 - 32 + 0*s**5. What is the second derivative of n(d) wrt d?
760*d**3
Let j(u) = 23*u**4 + 7*u**3 - u**2 - 26. Let z(c) = -22*c**4 - 6*c**3 + 3*c**2 + 22. Let k(d) = -6*j(d) - 7*z(d). What is the third derivative of k(y) wrt y?
384*y
Let r(u) be the first derivative of -48*u**3 + u**2 - 11*u - 161. What is the second derivative of r(p) wrt p?
-288
Let u(l) = -35*l**3 + 6*l**2 - 6*l - 31. Let y(i) = -i**3 - 3*i**2 + 128 - 127 + 4*i**2 - i. Let a(o) = u(o) - 6*y(o). Differentiate a(f) wrt f.
-87*f**2
Let y = 2 - -1. Suppose 0 = t - 3 - y. What is the second derivative of -1 + 7 + 2*a**3 - t - a wrt a?
12*a
Let h(g) be the first derivative of 0*g**4 + 0*g + 0*g**5 + 0*g**3 + 5/2*g**2 + g**6 - 9. What is the second derivative of h(z) wrt z?
120*z**3
Let f(h) be the second derivative of -h**8/168 + h**4/4 + h**3/6 - 8*h. Let n(q) be the second derivative of f(q). Differentiate n(s) wrt s.
-40*s**3
Let z(t) be the second derivative of 29*t**7/21 + 4*t**3 - t**2/2 + 84*t. Find the second derivative of z(p) wrt p.
1160*p**3
Let j(m) = 2*m**3 - 2*m**2 - 1. Let s(g) = -55*g**3 - 5*g**2 - 6. Let z(u) = 6*j(u) - s(u). Find the third derivative of z(i) wrt i.
402
Let o(z) be the third derivative of -11*z**8/168 + z**5/10 - 5*z**4/8 - 7*z**3/6 - 148*z**2. What is the second derivative of o(u) wrt u?
-440*u**3 + 12
Let g(f) be the first derivative of 17*f + 0*f**4 + 0*f**3 + 0*f**2 + 2 + 47/5*f**5. Find the first derivative of g(c) wrt c.
188*c**3
Let v(u) = -24*u - 29. Let f(n) = -72*n - 88. Let o(d) = -d**3 + 11*d**2 + d - 8. Let y be o(11). Let g(p) = y*f(p) - 8*v(p). Differentiate g(m) wrt m.
-24
Suppose 5*c - 4 = g, 2*g = 4*g + 8. Let v(o
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the tens digit of d?
3
Let u = 11 + -5. Let x = -7 - u. Let j = 33 + x. What is the tens digit of j?
2
Let h(w) = 0 - 1 + 8*w + 0 + 11 + w**2. What is the tens digit of h(-8)?
1
Let o(x) be the first derivative of -x**2/2 + 7*x - 2. Let a be o(5). Suppose -3 = -w + a. What is the units digit of w?
5
Let q(c) = c**3 - 2*c**2 + 2*c - 4. Let r be q(2). Suppose 0 = 2*z - r*z - 2. What is the units digit of z?
1
Let y = -10 - -6. Let d(j) = -j + 2. Let m be d(y). What is the units digit of -1*(-2 - (m + -1))?
7
Let i(n) = -n - 3. Let s be i(-3). Suppose -5*f + 2*f + 45 = s. What is the tens digit of f?
1
Suppose 4*p + p = 15. Suppose -4*d - 5*m + 4 = 0, -p*d - m + 2*m = 16. What is the units digit of (-42)/d*2/3?
7
Suppose 20 = -3*j + 122. Let w = j - 21. What is the tens digit of w?
1
What is the units digit of -9 + 6 - (-66 + 2/2)?
2
Let s = 3 + 0. Suppose -s*h + 21 = -0. Suppose 2*m - 3*m = -h. What is the units digit of m?
7
Suppose -2*l - 453 = -5*i, 3*i + 2*i - 4*l - 451 = 0. What is the tens digit of i?
9
Let p(t) = t**3. Let a be p(1). Let j be (a + 1)*2/(-1). Let h = 10 + j. What is the units digit of h?
6
Suppose -5*r + 210 = 5*a, a + 3 = 2. What is the tens digit of r?
4
Let v be 26/(-22) - (-4)/22. Suppose -4*m - 12 = p - 5*p, -4*p + 3*m + 11 = 0. What is the units digit of 2*(1 - v/p)?
3
Let b = 4 + -2. Let p = 43 - 15. Suppose -2*n = b*n - p. What is the units digit of n?
7
Let h(n) = -n**3 + 2*n + 3*n**2 - 5*n**2 + 2*n**3. Let g be h(3). Suppose -2*x + 4*x - 10 = 5*d, -3*x + g = -5*d. What is the units digit of x?
5
Let k be 82/10 + 4/(-20). What is the tens digit of (k/10)/(2/25)?
1
Suppose -2*d + 18 = -3*l, -l = 2*d + l + 2. Suppose -7*g = -d*g. Suppose g = 3*i + i - 48. What is the units digit of i?
2
Let t = -44 + 104. What is the units digit of t?
0
Let g(y) = -y**2 - 8*y - 3. Let q be g(-7). Let a(b) = -b**3 + 5*b**2 - 2*b - 4. What is the units digit of a(q)?
4
What is the units digit of (-2)/(((-8)/14)/2)?
7
Suppose -2*t + 68 = 4*c, -15 - 10 = 5*c. What is the tens digit of t?
4
Let s(b) = b**3 + 9*b**2 + 6*b + 5. Let z be s(-8). What is the units digit of 4/6*z/2?
7
Let u be -10*4/(-2)*1. Suppose -4*g = -3*g + 4*z - u, -4*g + 92 = 4*z. Suppose w - 5*w + g = 0. What is the units digit of w?
6
Suppose m - 13 = 6. Suppose -3*t = -2*k + 7*k - m, 4*t + 2*k = 44. What is the tens digit of t?
1
Let a(i) = -8*i + 18. What is the units digit of a(-4)?
0
Let h(y) = y**3 - 8*y**2 + 8*y - 5. Let x be h(7). Suppose -5*d - 6 = -3*k - 29, 0 = -4*d - x*k + 14. What is the units digit of d?
4
Let o be (3/3)/((-1)/23). Let j = 37 + o. Suppose j = -3*g + 41. What is the units digit of g?
9
What is the tens digit of 21 - (-2 - 0/4)?
2
Let w = -6 - -2. Let z(d) = -d**2 - 5*d - 2. Let o be z(w). Let c(y) = 11*y - 3. What is the units digit of c(o)?
9
Let i(c) = c**2 + 3*c - 4. Let k be i(-3). Suppose 4*u - 5*b - 34 = 0, -3*b + 3 = -u + 8. Let s = k + u. What is the units digit of s?
7
Let m be ((-1)/(-2))/(4/16). Suppose 7 = -3*a - m. Let h(o) = -3*o. What is the units digit of h(a)?
9
Let b = -146 + 204. What is the units digit of b?
8
Suppose -3*r = 2*d - 78, 5*r - d + 4*d - 129 = 0. Let k be r/14 - 10/(-35). What is the units digit of k/4 + (-4)/(-8)?
1
Let w(q) = -6*q**2 - q**3 + q**3 - 9*q - q**3 + 2*q. Let m be w(-5). Let v = m + -4. What is the units digit of v?
6
Suppose -k + 28 = h, -3*h = -0*h + 2*k - 84. What is the tens digit of h?
2
Let b(m) = m**3 - m**2 + 1. Let w(i) = i**3 + 13*i**2 - 14*i + 1. Let u be w(-14). Let y be b(u). What is the units digit of 9/((-2)/(y + -3))?
9
Let j(v) = v**2 - 5*v + 11. What is the units digit of j(8)?
5
Suppose f + 17 = -5*m + 3*f, 2*m + 2 = 2*f. Let d = -4 - m. What is the units digit of d?
1
Suppose -211 = -d - 4*u - 14, -d = -5*u - 197. What is the hundreds digit of d?
1
Let a be (9/3 - 0) + 3. Suppose y - a = -1. Let f = y - 3. What is the units digit of f?
2
Suppose -9 = -5*x + 201. What is the units digit of x?
2
Let v(p) = -p**2 + 7*p - 9. Let h be v(6). What is the tens digit of 17*(1 + 3 + h)?
1
Let r(k) = k**3 - 2*k**2 + 4. What is the units digit of r(4)?
6
Suppose 28 = 4*i + 8. Suppose 34 = 4*x - 0*z - 5*z, i*z = -3*x + 8. What is the units digit of x?
6
Let t = -13 - -25. Suppose -d - t = -3*d. Suppose -d + 2 = -2*i. What is the units digit of i?
2
Let u be (1 - 0) + -1 + 2. Suppose u = -r + 24. Let m = r + -13. What is the units digit of m?
9
Let l(a) = a**2 + 7*a - 8. Let m(f) = -f**3 - 8*f**2 - 5*f + 5. Let d be m(-7). What is the tens digit of l(d)?
1
Suppose 0*h - h + 1 = 0. Let s(n) = 3*n**2 - 3*n**2 + 4*n**2. What is the units digit of s(h)?
4
Let z(a) = -12*a - 43. What is the units digit of z(-23)?
3
Let g(j) = j**3 - 5*j**2 + 3*j - 3. Let l be g(4). Let p = 14 + l. What is the units digit of p?
7
What is the tens digit of -3 - -45 - 3/(-3)?
4
Let p be 3*9/(81/(-60)). Let s = -12 - p. What is the units digit of s?
8
Let u = 258 + -128. What is the units digit of u?
0
Let x = 2 + -3. What is the units digit of 7 + -2 + 1 + x?
5
Suppose 0 = 2*t - 2 - 12. Let y be 2/t - (-231)/49. Suppose q - 5*q - 5*o = -43, y*q - 2*o = 62. What is the units digit of q?
2
Let p(c) = c**2 - c + 4. Let q be p(0). Suppose q*l = l + 2*d - 1, 10 = -5*l + 5*d. Suppose 4*m - l*m + n = 3, -5 = -5*n. What is the units digit of m?
2
Suppose 3*z + 2 - 17 = 0. Suppose 4*p + 17 - 1 = i, -5*i = 4*p + 16. Let d = z + i. What is the units digit of d?
5
Let m = 13 + -13. Suppose m = 4*n - 6 - 86. What is the tens digit of n?
2
Let l = 3 + -13. Let g = -2 - l. What is the units digit of g?
8
Suppose i - 6 = -1. Let s = -4 + i. What is the units digit of s?
1
Suppose -5*m + 100 = 5*a, m - 5*a - 14 = -3*a. What is the tens digit of 4/(-6) - (-408)/m?
2
Let n = -8 - 26. What is the units digit of n/(-9) - (-4)/18?
4
Let u(q) = q**2 + 25. Let b(w) = -w + 8. Let v be b(8). What is the tens digit of u(v)?
2
Suppose -3*x + 1064 = 4*x. What is the units digit of x?
2
Let s be -7 - -1 - -4 - -6. What is the units digit of 110/s*(-12)/(-10)?
3
Let v be ((-4)/(-12))/(1/15). Suppose -v*s = 4*g - 35, -2*s - 3*s = -3*g. Suppose s*j + 1 = 5*n - 5, -12 = -j - 3*n. What is the units digit of j?
3
Let k be (-20)/((-6)/3) - 2. Let t be (-2)/(-8) - 2/k. Suppose -r + t*r + 7 = 0. What is the units digit of r?
7
Suppose d - 87 = -3*h, -5*h = -4*d + 485 - 52. What is the tens digit of d?
0
What is the units digit of (-1020)/(-80)*16/6?
4
Suppose 0 = 4*n + 16, -3*i - n = -i + 88. What is the tens digit of (-3)/(87/i - -2)?
4
Suppose 0 = p - 5 - 30. What is the tens digit of p?
3
Suppose 13*c - 110 = 3*c. What is the units digit of c?
1
Suppose 0 = l - 0*l. Suppose -5*w + 4*k + 41 = l, -3*k + 6 = -w + 23. Let b = 11 - w. What is the units digit of b?
6
Suppose 0 = 4*u + q - 81, -5*u - 4*q + 14 + 90 = 0. What is the tens digit of u?
2
Suppose 70 = -l + 6*l. Let m = 35 - l. What is the tens digit of m?
2
Let u be 0*(3 - (2 + 0)). Suppose -4*a = -u*a - 68. What is the tens digit of a?
1
Let g(q) be the third derivative of -q**5/60 - q**4/4 + 5*q**3/6 + 3*q**2. What is the units digit of g(-6)?
5
Suppose -4*f + 134 = -2*i, -27 = -4*f + i + 106. Let k = f + -46. Let u = -9 - k. What is the units digit of u?
4
What is the units digit of (11/(-3))/(6/(-36))?
2
What is the hundreds digit of (56/(-5))/(-5 - (-495)/100)?
2
Let d(q) = 13*q**3 + 11*q**2. Suppose 0 = -y + 6*y + 45. Let u(a) = -6*a**3 - 5*a**2. Let f(x) = y*u(x) - 4*d(x). What is the units digit of f(1)?
3
Let z(a) = a**3 - 5*a**2 - 6*a - 8. What is the units digit of z(8)?
6
Suppose 0 = 4*j - 2*j + 12. Let n = 15 - j. What is the tens digit of n?
2
Let s = -518 - -908. What is the hundreds digit of s?
3
Let b(u) be the second derivative of -u**6/120 + u**4/6 - 3*u. Let d(v) be the third derivative of b(v). What is the units digit of d(-1)?
6
Let g(n) = 14*n**2 + 12*n - 3. What is the tens digit of g(-6)?
2
Let i be (8/10)/((-6)/(-15)). Suppose 15 = i*u + u. Suppose -4*z - 5*a = -15 - 9, -2*z + 22 = u*a. What is the units digit of z?
1
Suppose 5*f = 17 + 13. Suppose -f = -4*l - 2*k, 4*l = 3*k - 10 + 1. Suppose 2*q - 2*a - 20 = l, 0 = -4*q - 5*a + 27 + 13. What is the units digit of q?
0
Let k be 1/((-2)/(-162)*3). Let t = k + 3. Suppose -3*d + 0*d = -t. What is the units
|
{
"pile_set_name": "DM Mathematics"
}
|
second smallest value in j, x, -0.5, -0.2?
-0.5
Let h be 89/(-4) - 2/(-8). Let z be -1 + h/(-30) - (-2)/5. Let w(q) = -5*q + 1. Let i be w(-2). Which is the third biggest value? (a) z (b) 5 (c) i
a
Let v = 4 - 4.1. Suppose 138 - 140 = m, -3*m - 96 = 5*n. What is the third smallest value in -0.3, v, -6, n?
-0.3
Let h = 80.55 - 82.55. Let d = -0.61 + 0.31. What is the third smallest value in d, 0.1, h?
0.1
Let p = -398.04 - -398. Which is the biggest value? (a) 11 (b) 3/4 (c) p
a
Let p = -77 - -74. Suppose -2*d + 5*d - 10 = -5*f, -28 = 3*f - 5*d. Which is the second biggest value? (a) f (b) p (c) 151
a
Let a = -0.0928 + -0.3072. Let y = -5 + 4.97. Let j = y + 2.03. What is the third smallest value in j, a, 1/9?
j
Let g = -3123 + 3126. Which is the second smallest value? (a) -2 (b) -25 (c) g
a
Let v = -1.32 + 2.35. Let y = -0.07 - v. What is the smallest value in 2/13, y, 0?
y
Let i = 2679 - 18741/7. Which is the second smallest value? (a) i (b) 28 (c) 0
a
Let z = -0.3 + 1.3. Suppose -51*d - 792 = -180. Let t be 66/297*9/d. Which is the third biggest value? (a) z (b) -0.3 (c) t
b
Let x = 269 - 265. Let k = -6254/5 + 1251. Which is the third biggest value? (a) x (b) k (c) -0.01
c
Let z = 1 + 36. Suppose 31*p = z*p + 42. Which is the smallest value? (a) -4 (b) -0.3 (c) 4 (d) p
d
Let w = 0.8907 + -1.0907. What is the third smallest value in w, 2, 0.2, -1073?
0.2
Let y = 14 + -15. Let p = 2295 - 2294. What is the fourth smallest value in -2, y, -2/7, p?
p
Let f = -402.4 + 402.37. Which is the third smallest value? (a) -1/3 (b) -7 (c) f (d) -2
a
Let g = 316 - 315. Let t = 5727/5 - 1145. What is the third smallest value in g, t, -14/41?
g
Suppose 2*z = 4*x - 2, -x - z + 205 = 203. Let n = 3.1 - 0.1. What is the second biggest value in 5/9, n, x?
x
Let b = 75.6 - 112.7. Let i = b + 36. Let q = 1.4 + i. What is the second smallest value in q, 2/3, 3?
2/3
Let q = 4.63 - 4.13. Let o = 71 - 71.31. Let p = o - -0.11. Which is the third biggest value? (a) p (b) 4/3 (c) q
a
Let m(f) = f**3 - 42*f**2 + 78*f + 8. Let x be m(2). Which is the third smallest value? (a) x (b) -0.88 (c) 0.02
a
Let u = 330.9 - 404.9. Let m = -48 - 24. Let o = u - m. Which is the fourth smallest value? (a) 2/3 (b) o (c) 22 (d) -1
c
Let y be (-1)/10*-2*-1. Let k be (11 - (-4 + 20)) + (-93)/(-21). What is the second smallest value in 2/17, -4, k, y?
k
Let f = -1694203/100 - -16942. What is the third biggest value in 0.4, 0.3, 1/3, f, -2/15?
0.3
Let k be (-5)/(-60)*44 - (2*-5)/(-2). What is the fourth biggest value in -0.3, k, 2/17, -2?
-2
Let s = 5/1759 + 3503/5277. Let y = 0 + -3. What is the smallest value in -33, y, -0.4, s?
-33
Let r be (-2)/(-3) + (-5)/3. Let m = -204724/3 - -68241. What is the biggest value in 0.2, m, r, 13?
13
Let a = 1171.5 - 1172. What is the second smallest value in 1/2, 0, a, 5, -57?
a
Let n = -379 + 377.27. Let w = n + 0.73. Which is the third smallest value? (a) w (b) 0 (c) -0.08
b
Let l = 2.12 - 380.12. Let i = l + 377.7. Which is the biggest value? (a) i (b) 53 (c) -0.2
b
Let t = -0.5 + 0.8. Let m = 50939 + -50939.4. What is the second smallest value in 0.2, -18, m, t?
m
Let p be (6*(-1)/(-14))/((-258)/903). Which is the third smallest value? (a) 0.1 (b) -1/2 (c) -1 (d) p
b
Let q = 140 - 129.3. Let w = q + -16.7. Which is the third biggest value? (a) w (b) -5 (c) -0.1 (d) -18/7
b
Let o = -0.5 + 0.6. Let p = -48 + 52. Suppose p*x = -189 + 177. What is the biggest value in o, -2, x?
o
Let h = -16.99 - -19.99. What is the third smallest value in 26, -4/3, h?
26
Let w = 1118.61 - 1113.61. Let i = 2343/58 + -26/29. What is the second biggest value in -0.1, i, w?
w
Let t = -6.8 + 6.8. Let z = -6.5 - -6. Which is the fourth biggest value? (a) 0.3 (b) z (c) t (d) 8
b
Let z = -8326 + 8311. Which is the fourth biggest value? (a) -0.5 (b) z (c) 232 (d) -4
b
Let o = 27.91 + -4.91. Which is the smallest value? (a) -4 (b) -0.2 (c) o
a
Suppose 0 = 5*q - f + 3, 3*q - 54*f + 76*f - 66 = 0. Let j be 4 - (0 - 0) - 2. What is the second biggest value in q, -0.03, 5, j?
j
Let q be -3 - (-10 - (17 + -23)). Which is the second biggest value? (a) q (b) 3/7 (c) -77.6
b
Let l = -331 + 335. Suppose 8*m - l*m = 3*p + 14, 2*m = -3*p + 16. Let y = -10 + 14. Which is the biggest value? (a) y (b) p (c) -0.3
a
Suppose 4*h - 2 = -14. Let u be 1 - ((h - 1) + 14/14). Let w be (u/10)/((-12)/45). What is the third biggest value in w, -0.06, 3/2?
w
Let h = 19.003 - 19. Let y = -8815 - -8814. What is the smallest value in h, -0.2, y?
y
Let n = -298.3 - -298. Which is the smallest value? (a) -2/3 (b) -0.24 (c) n
a
Let l be (-2)/(-9) + 0/2. Let u = -202048.9 - -202049. Which is the biggest value? (a) u (b) 0.2 (c) -20 (d) l
d
Let v = 0.02378 - 0.05978. Let y = 0.022 - 0.422. Which is the third smallest value? (a) v (b) 0 (c) y
b
Let f be 9/(-4)*23*(-46)/(-4761). Which is the biggest value? (a) 1/4 (b) -3/5 (c) f (d) -477
a
Suppose 0 = -51*n - 205 + 314 + 299. What is the second biggest value in -0.5, 45, n?
n
Let w = -75 - -75.093. Let o = -0.563 + w. Let i = o + -4.53. Which is the third biggest value? (a) i (b) -0.1 (c) 3
a
Let m be ((-6)/(-15))/(22/(-10)). Let w = -159 + 158.9965. Let g = -0.0535 - w. Which is the second biggest value? (a) -3 (b) g (c) m
c
Let w = 4808.16 - 4809. What is the second biggest value in 0.2, -1/8, w?
-1/8
Suppose 0 + 2 = -90*i + 91*i. Let q = -82 + 922/11. Let h = i - q. What is the smallest value in h, 1/10, -1/6, 3/8?
-1/6
Let y = 0.033 + 16.967. Let o = y - 18.2. Let g = 1.2 + o. What is the fourth biggest value in -3, g, 1/2, 6/11?
-3
Suppose -5*o - 4*z = 29, -239*o = -235*o + 4*z + 28. What is the biggest value in 3/133, o, 0, 2?
2
Suppose -5*x + 91 = l + 57, -14 = l - 3*x. What is the second biggest value in l, 2, 192, 0, -4?
l
Let u = 12653.6 + -12654. Which is the second biggest value? (a) -0.06 (b) -36 (c) -3 (d) -0.3 (e) u
d
Let x(w) = 20*w - 222. Let l be x(11). Which is the second biggest value? (a) -21 (b) 49 (c) l
c
Let l = 6839/3 - 2280. Suppose 2*x - 15 = 3*x. Let v be ((-4)/6)/((-25)/x). Which is the fourth smallest value? (a) l (b) v (c) 4/3 (d) 0.5
c
Let s(g) = g**2 + 2*g. Let u be s(-3). Let j = -2.58 + 2.64. Let p = 133 + -135. What is the smallest value in u, j, p?
p
Let r = 491 + -304. Let j = 188 - r. What is the smallest value in 10/7, 5, j?
j
Let t = -31.7 - -28.66. Let w = -1.96 + t. Which is the biggest value? (a) w (b) -2/13 (c) 0.3
c
Let g = 64 + -69.7. Let m = 6 + g. Let r = 5861/6 + -977. What is the smallest value in -2/35, r, m?
r
Suppose 72*q - 198 - 78 = 3*q. Which is the smallest value? (a) -2/7 (b) q (c) 3 (d) 0
a
Let p = -12158/195 - -312/5. Let x = 7348.2 + -7348. What is the third biggest value in -1, x, p?
-1
Let o = -94 + 90.5. Let d = -6.5 - o. What is the third smallest value in 0, -31, d, -2/11?
-2/11
Suppose 0 = 37*y - 117 + 6. Let i = 32 - 33.3. Let f = i - -1.3. Which is the smallest value? (a) f (b) 4 (c) -6 (d) y
c
Let a = -0.30181 - -3.30181. What is the biggest value in 0.1, -2, -36, 2/11, a?
a
Let r = -2934347569/1302 - -2253723. Let i = r - -1/217. Let o = -3.4 + 1.4. What is the third biggest value in i, o, -1, 1/4?
-1
Let o be -4 - -246 - 4*-1. Let n = o + -2216/9. Let t = -127 - -123. What is the third biggest value in n, -0.1, t?
t
Let x be (27028/6)/(11 + 774/(-54)). Which is the fourth smallest value? (a) 2/7 (b) -4 (c) -1/4 (d) x
a
Let n = 62.17 + -61.97. Which is the fourth biggest value? (a) -6/7 (b) 5 (c) 0.3 (d) n
a
Let w = 9.88 - -0.12. Let h = w - 10.3. Let z be ((-36)/20 - -2)*325/(-39). Which is the third smallest value? (a) h (b) z (c) -5
a
Let r = 2.7773 + -0.4773. Which is the smallest value? (a) r (b) 2 (c) -3/5 (d) 0.4
c
Let o be ((-1)/(-129))/((-245)/18753). Let j = o - 2/301. Let g = -0.01 + -5.99. What is the third biggest value in -2, g, -0.4, j?
-2
Let i = 0.1 - -1.9. Let c = -5 + i. Let a be 8 - 0 - 11070/270. What is the biggest value in -1/5, a, c?
-1/5
Let b(j) = 4*j**2 + j + 7. Let i be b(-5). Let a be (1274/39)/(2/(-6)). Let o = i + a. What is the second smallest value in o, -2/7, -2/15?
-2/15
Let v = -141.1 - 10.9. Let w = -148 - v. Which is the four
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {s: 2, w: 1, b: 1, e: 2, v: 8, c: 3}.
2/255
Two letters picked without replacement from qqocoqcqpcqopqpqocr. Give prob of sequence rq.
7/342
Four letters picked without replacement from {t: 2, o: 5, x: 6}. Give prob of sequence xtto.
1/286
Four letters picked without replacement from {q: 2, d: 1, n: 1, s: 3, y: 6}. What is prob of sequence sqqn?
1/2860
What is prob of sequence ggd when three letters picked without replacement from {g: 19, d: 1}?
1/20
What is prob of sequence ggj when three letters picked without replacement from ggjjjgg?
6/35
Three letters picked without replacement from yymyyymymmy. What is prob of sequence mmm?
4/165
Calculate prob of sequence nln when three letters picked without replacement from nnninlnjjljn.
1/22
Four letters picked without replacement from lbbllblllb. Give prob of sequence blbl.
1/14
Four letters picked without replacement from {u: 6, y: 10, x: 1, f: 1, r: 1}. What is prob of sequence yyyf?
5/646
Four letters picked without replacement from {t: 4, h: 2}. What is prob of sequence tthh?
1/15
Calculate prob of sequence lll when three letters picked without replacement from {l: 6, m: 13}.
20/969
Calculate prob of sequence cuq when three letters picked without replacement from uuuqcuuquuqqu.
8/429
Calculate prob of sequence vz when two letters picked without replacement from rzrzrzrrvz.
2/45
Calculate prob of sequence royr when four letters picked without replacement from {r: 2, y: 1, o: 1, b: 1}.
1/60
Three letters picked without replacement from {h: 6, u: 1, s: 3, a: 2, m: 1}. Give prob of sequence hhm.
5/286
Three letters picked without replacement from {v: 4, a: 1, i: 3}. What is prob of sequence vai?
1/28
Three letters picked without replacement from {f: 7, n: 5}. What is prob of sequence nfn?
7/66
Four letters picked without replacement from {x: 1, v: 10, p: 2, g: 6, h: 1}. Give prob of sequence hxpg.
1/9690
Two letters picked without replacement from {d: 1, h: 1, r: 1, t: 1, s: 3}. Give prob of sequence hd.
1/42
Calculate prob of sequence rvy when three letters picked without replacement from yytytvtjjtrtjjyr.
1/420
What is prob of sequence llaa when four letters picked without replacement from {a: 13, l: 6}?
65/1292
Calculate prob of sequence ax when two letters picked without replacement from uaxrxrnuuxxsxurx.
1/40
What is prob of sequence ii when two letters picked without replacement from {p: 10, i: 2}?
1/66
Calculate prob of sequence kd when two letters picked without replacement from dddddddkdddddddddddd.
1/20
Calculate prob of sequence hy when two letters picked without replacement from hyhyh.
3/10
Calculate prob of sequence tzy when three letters picked without replacement from yyztyytdy.
5/252
Four letters picked without replacement from {p: 3, o: 1, h: 3, v: 13}. Give prob of sequence vhop.
13/12920
Calculate prob of sequence go when two letters picked without replacement from oygyodx.
1/21
Calculate prob of sequence vhha when four letters picked without replacement from {a: 4, v: 1, h: 5}.
1/63
What is prob of sequence aa when two letters picked without replacement from {f: 18, a: 2}?
1/190
Three letters picked without replacement from uyujujjyjyjnjxy. Give prob of sequence xyu.
2/455
Two letters picked without replacement from {b: 1, c: 3, l: 1}. What is prob of sequence bl?
1/20
Four letters picked without replacement from fbfffbffffffffbfbfff. What is prob of sequence fbbf?
8/323
Calculate prob of sequence peq when three letters picked without replacement from bexyeyqpx.
1/252
Three letters picked without replacement from eihhnvvoo. What is prob of sequence vvo?
1/126
Three letters picked without replacement from czypczmpzypp. Give prob of sequence mpy.
1/165
Three letters picked without replacement from zdxpbpzipbzp. What is prob of sequence bpx?
1/165
What is prob of sequence lljj when four letters picked without replacement from {j: 2, l: 2}?
1/6
Calculate prob of sequence gmcm when four letters picked without replacement from {g: 1, c: 1, m: 2, b: 1}.
1/60
What is prob of sequence my when two letters picked without replacement from {m: 2, z: 2, y: 1, j: 4}?
1/36
What is prob of sequence uabu when four letters picked without replacement from btaabtatubatuta?
1/1092
Three letters picked without replacement from {q: 5, g: 7, w: 5, r: 1}. Give prob of sequence ggq.
35/816
Four letters picked without replacement from ppzphpphppppphp. What is prob of sequence zphh?
11/5460
Four letters picked without replacement from ueuuuuuuuue. Give prob of sequence ueeu.
1/55
Two letters picked without replacement from vfjqjjkfvvi. What is prob of sequence iq?
1/110
What is prob of sequence qf when two letters picked without replacement from xlxqflqqqgqqgqqjg?
1/34
What is prob of sequence zl when two letters picked without replacement from {l: 1, z: 1, u: 2}?
1/12
Two letters picked without replacement from {z: 2, k: 1, r: 4, i: 2}. Give prob of sequence ik.
1/36
Calculate prob of sequence oo when two letters picked without replacement from {m: 4, o: 2}.
1/15
Two letters picked without replacement from uaeaaaaaaaaaa. Give prob of sequence ue.
1/156
Calculate prob of sequence lk when two letters picked without replacement from {d: 1, e: 2, n: 1, k: 2, l: 1, j: 1}.
1/28
Calculate prob of sequence ac when two letters picked without replacement from ooooaoayoccc.
1/22
What is prob of sequence hg when two letters picked without replacement from {w: 1, h: 2, g: 1, r: 1}?
1/10
Two letters picked without replacement from {r: 1, b: 1, i: 2, h: 2}. Give prob of sequence ir.
1/15
Three letters picked without replacement from llleeellle. What is prob of sequence eel?
1/10
Calculate prob of sequence gxx when three letters picked without replacement from {b: 4, x: 3, g: 1, w: 2, q: 1}.
1/165
What is prob of sequence zj when two letters picked without replacement from gkkvvzgkkgjkgnjzzzk?
4/171
What is prob of sequence qgg when three letters picked without replacement from gggqgggggggg?
1/12
What is prob of sequence bbb when three letters picked without replacement from {h: 2, t: 13, b: 3}?
1/816
Two letters picked without replacement from isibsiisi. What is prob of sequence si?
5/24
Two letters picked without replacement from ldllllll. What is prob of sequence dl?
1/8
Four letters picked without replacement from {a: 4, p: 7, k: 1, b: 2, y: 6}. Give prob of sequence yybb.
1/1938
What is prob of sequence xx when two letters picked without replacement from {j: 1, x: 11, n: 1, d: 2}?
11/21
Calculate prob of sequence mm when two letters picked without replacement from {c: 5, m: 2}.
1/21
What is prob of sequence vv when two letters picked without replacement from {a: 2, v: 4}?
2/5
Two letters picked without replacement from {g: 5, k: 8}. What is prob of sequence gk?
10/39
Three letters picked without replacement from pkrpppssryikrii. Give prob of sequence iky.
1/455
Two letters picked without replacement from {q: 2, e: 1, r: 1, l: 1, i: 2, b: 1}. Give prob of sequence ie.
1/28
Two letters picked without replacement from jzccj. What is prob of sequence zc?
1/10
What is prob of sequence qy when two letters picked without replacement from {q: 5, y: 7}?
35/132
Calculate prob of sequence ggl when three letters picked without replacement from {g: 2, l: 6}.
1/28
Calculate prob of sequence bt when two letters picked without replacement from {b: 7, r: 1, t: 1}.
7/72
Calculate prob of sequence sqjd when four letters picked without replacement from {d: 2, p: 1, s: 2, e: 2, j: 4, q: 1}.
2/1485
Calculate prob of sequence zlo when three letters picked without replacement from {z: 2, o: 1, l: 1, y: 2}.
1/60
Three letters picked without replacement from {r: 6, f: 4, i: 3}. What is prob of sequence ffi?
3/143
What is prob of sequence sn when two letters picked without replacement from snpxnnnmpspkpspmmpm?
2/57
Two letters picked without replacement from {v: 3, t: 2, k: 1, l: 3, z: 2, b: 1}. What is prob of sequence bv?
1/44
Two letters picked without replacement from uxxgjxjgbjggjjj. Give prob of sequence gx.
2/35
Four letters picked without replacement from ttttijtxtitjjxsii. What is prob of sequence sjji?
1/2380
Two letters picked without replacement from duqupuuvq. Give prob of sequence qv.
1/36
Four letters picked witho
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{
"pile_set_name": "DM Mathematics"
}
|
z(s) = -2*s + s + 0*s. Let d(n) = 6*n + 2. Let c(a) = -6*a - 1. Let p(o) = 6*c(o) + 3*d(o). Calculate p(z(y)).
18*y
Let q(z) = z + 36. Let f(b) = b - 8327. What is q(f(a))?
a - 8291
Let z(s) = -2*s + 4. Let g(w) = -39*w + 20. Let r(q) = g(q) - 5*z(q). Let i(n) = n**2 + 0*n**2 + 0*n**2. Calculate r(i(l)).
-29*l**2
Suppose 3*a = -5*z + 2*a + 21, 2*a = 5*z - 33. Let m(k) = z*k - 3*k - k. Let v(y) = 2 + 6*y**2 - 2. Calculate v(m(i)).
6*i**2
Let a(s) be the third derivative of -11*s**5/15 + 35*s**2. Let p(t) = 2*t**2. Determine p(a(o)).
3872*o**4
Let m(n) = -5*n. Let p(s) = 197*s**2 + 137*s. Calculate p(m(x)).
4925*x**2 - 685*x
Let l(w) = 9*w - 2. Let t(x) = 4452*x**2. Calculate t(l(a)).
360612*a**2 - 160272*a + 17808
Let g(o) = 112*o - 40*o - 37*o - 42*o. Let s(j) = -45*j**2. Calculate g(s(p)).
315*p**2
Let x(o) = 13*o. Let q(a) be the first derivative of -9*a**2/2 - 52. Give q(x(k)).
-117*k
Let d(g) = -g**2. Let i(j) be the third derivative of -17*j**5/120 + 13*j**3/6 - 11*j**2. Let k(c) be the first derivative of i(c). Calculate k(d(b)).
17*b**2
Let u(v) = -16*v**2. Let f(c) be the first derivative of -2*c**3 + 67. Give u(f(s)).
-576*s**4
Let q(l) = -16*l**2. Suppose t = -2*x, 3*x - 5*t - 18 - 8 = 0. Let a(h) = 5*h**2 + x*h**2 - 3*h**2 - 3*h**2. Calculate a(q(z)).
256*z**4
Let g(b) = -245*b. Let j(d) = 34*d. What is j(g(p))?
-8330*p
Let x(k) = 483*k. Let j(b) = 732*b**2. Give j(x(g)).
170767548*g**2
Let z(f) = -36*f**2 - 15*f - 15. Let j(i) = 5*i**2 + 2*i + 2. Let d(m) = 15*j(m) + 2*z(m). Let b(u) = 3*u**2. What is d(b(k))?
27*k**4
Let l(a) = 4*a**2. Let o(n) = 16*n - n + 7 - 19*n. Give l(o(i)).
64*i**2 - 224*i + 196
Let a(c) = -6*c + 6*c + 4*c. Let y(n) = 3*n**2 + 4*n - 6*n + 2*n. What is a(y(i))?
12*i**2
Let o(b) = 5*b**2 - 3*b. Let y(n) = -8835 + 2*n + 8835. Determine y(o(f)).
10*f**2 - 6*f
Let r(c) be the third derivative of -7*c**5/60 + 35*c**2. Let o(q) be the first derivative of -2*q**3/3 + 7. Determine o(r(i)).
-98*i**4
Let q(z) = 2*z**2. Let r(h) = -2*h + 44. Let a(b) = -3*b + 89. Let n(c) = 2*a(c) - 5*r(c). Give q(n(w)).
32*w**2 - 672*w + 3528
Let v(i) = -i - 10*i**2 + i. Let x(h) be the first derivative of 3*h**2/2 - 661. What is v(x(q))?
-90*q**2
Let d(w) = 3*w**2. Let x = 73 - 59. Let l(n) = 5 + 1 + x*n - 6. Determine l(d(v)).
42*v**2
Let l(j) = 6*j**2. Suppose 0 = -7*v + v + 12. Let n(z) be the second derivative of 0*z**v + 1/6*z**3 + 0 + 2*z. What is n(l(b))?
6*b**2
Suppose 0 = -3*y - 1 + 13. Suppose -y*t = -n - 3, 3*n + 2*n = 4*t + 17. Let i(a) = t*a - 2*a + 0*a**2 + 2*a**2. Let d(v) = 2*v. Calculate i(d(m)).
8*m**2
Let t(p) be the second derivative of p**3/6 + 19*p. Let q(h) = 21*h**2. Determine t(q(w)).
21*w**2
Let s(x) = 15*x**2. Let i(r) be the third derivative of r**5/120 - r**3/3 - 5*r**2. Let d(m) be the first derivative of i(m). Determine s(d(o)).
15*o**2
Let q(y) = -4*y - y - 5*y. Let x(u) be the second derivative of 1/3*u**3 + 0*u**2 + 0 - 5*u. What is q(x(i))?
-20*i
Let z(c) = -4*c**2. Let h(r) = -12*r + 15. Suppose 2*p + 150 = 12*p. Let n(l) = 3*l - 4. Let v(k) = p*n(k) + 4*h(k). Give z(v(s)).
-36*s**2
Let m(p) = -16*p + 8*p - 7*p**2 + 8*p. Let g(y) = 4*y**2. Calculate m(g(l)).
-112*l**4
Let b(s) = 10*s**2. Let u(o) = 4*o**2 + 2*o. Let t(j) = -9*j - 4*j**2 + 3*j**2 - 16*j**2. Let l(d) = -2*t(d) - 9*u(d). What is b(l(k))?
40*k**4
Let m(w) be the first derivative of -2*w**3/3 - 20. Let i(z) = -7*z - 5. Let h(s) = 20*s + 14. Let o(r) = -5*h(r) - 14*i(r). Give m(o(b)).
-8*b**2
Let b(i) = -630*i**2. Let a(d) = -1092*d**2 + d. Determine a(b(j)).
-433414800*j**4 - 630*j**2
Let k(c) = -12*c**2 + 171*c - 2. Let h(g) = -2*g**2. Determine k(h(a)).
-48*a**4 - 342*a**2 - 2
Let y(c) = -c**2 + 7*c**2 + 0*c**2. Let b(k) be the second derivative of k**5/30 + 3*k**2/2 + 7*k. Let m(g) be the first derivative of b(g). Give m(y(i)).
72*i**4
Let f(h) = 27*h - 12. Let w(j) = -23*j + 10. Let y(l) = 5*f(l) + 6*w(l). Let p(k) be the third derivative of -k**5/5 - k**2. Calculate y(p(q)).
36*q**2
Let a(t) = 70*t**2. Let k(o) = -o**2 + 7*o. What is k(a(g))?
-4900*g**4 + 490*g**2
Let f(o) = 71*o + 12. Let n = -22 + 30. Let c be f(n). Let h(m) = -c - 3*m + 580. Let x(g) = 4*g**2. What is h(x(i))?
-12*i**2
Let n(m) = -2*m. Let u(v) = -19949*v**2 - 10*v. Give n(u(r)).
39898*r**2 + 20*r
Suppose 0 + 2 = u. Let j be (1 - 6/2) + 4. Let b(f) = -j + 3*f**2 + u + 0. Let w(v) = -5*v. Calculate w(b(l)).
-15*l**2
Let u(s) = 164*s**2 + 1. Let h(w) = 385*w. What is u(h(f))?
24308900*f**2 + 1
Suppose 0 = 48*x - 49*x + 10. Let h(n) = 3*n - 14*n + x*n. Let m(k) = 7*k. What is m(h(i))?
-7*i
Let r(s) = -76*s + 167*s - 105*s. Let c(p) = 28*p**2. Determine r(c(y)).
-392*y**2
Let v(n) = -2*n. Let p(g) = -152*g**2 + 48*g - 48. Let d(j) = -16*j**2 + 5*j - 5. Let b(t) = 48*d(t) - 5*p(t). Calculate v(b(i)).
16*i**2
Let l(m) = -851*m**2. Let p(i) = 2*i**2 + 118. What is p(l(w))?
1448402*w**4 + 118
Let s(x) = 5*x. Let z = 29 - 26. Let n(o) = 2*o. Let t(w) = z*s(w) - 8*n(w). Let d(c) be the third derivative of -c**4/12 + c**2. Give d(t(j)).
2*j
Let z(l) = -309847*l**2. Let c(o) = -2*o. What is c(z(p))?
619694*p**2
Let t(m) = 48*m. Let s(g) be the third derivative of -g**5/60 - 6*g**2 - 24. What is t(s(f))?
-48*f**2
Let q(t) = -2*t**2 + 1267*t - 1267*t. Let z(f) = -3*f**2 + 3. Determine z(q(c)).
-12*c**4 + 3
Let r(w) = 6*w. Let k(s) be the first derivative of -9*s**2 - 158. Give r(k(o)).
-108*o
Let t(h) = -153178*h**2. Let q(b) = 13*b. Determine t(q(w)).
-25887082*w**2
Let y(t) = 2*t. Let m(c) = c**2 + 7*c + 3. Let w be m(-7). Suppose -4*p + 28 = -4*h, p = 2*h - w*h + 5. Let x(g) = 2*g**2 + 7 - 1 - p. Determine x(y(u)).
8*u**2
Let c(n) = 236*n. Let q(z) = z - 4424. Give q(c(k)).
236*k - 4424
Let d(a) = -a. Let c(n) = -n**2 + n - 1. Let x(t) = 9*t**2 + 49*t - 51*t + 2 + 0. Let k(v) = -2*c(v) - x(v). What is k(d(y))?
-7*y**2
Let w(y) = 2716*y. Let l(n) = -n - 12. Give l(w(j)).
-2716*j - 12
Let v(p) = -8*p**2. Let f = -57 + 113. Let h(z) = 56 - 2*z - f. Calculate v(h(s)).
-32*s**2
Let t(v) = -2*v**2 - 13*v**2 + v**2. Let q(c) be the first derivative of -c**5/120 - 7*c**3/3 + 2. Let l(y) be the third derivative of q(y). Determine l(t(j)).
14*j**2
Let f(v) = v - 6. Let s be f(6). Suppose 14*k - 11*k - 9 = s. Let h(y) = 10*y - k*y - 4*y. Let w(n) = -4*n. What is w(h(z))?
-12*z
Let u(f) = f**2. Let p(s) = -37199*s. What is p(u(m))?
-37199*m**2
Suppose 5*b + 4*l + 6 = 0, b + 2*l + 10 = -l. Let r(w) = 8*w - 11*w + b*w - 11*w. Let q(g) = g**2. Give r(q(u)).
-12*u**2
Let j(g) = 3 + 12*g**2 - 3. Let v(h) = h - 60. Let l(t) = t - 50. Let p(b) = -6*l(b) + 5*v(b). Give p(j(m)).
-12*m**2
Let d(v) = -4*v**2. Let x(f) = 799*f + 187. Let y(z) = -17*z - 4. Let i(p) = -4*x(p) - 187*y(p). What is i(d(n))?
68*n**2
Let l(c) = -c**2. Let d(v) = -58765*v**2. What is d(l(m))?
-58765*m**4
Let b(c) = -c**2. Let k(u) = 2*u + 225897. Give k(b(h)).
-2*h**2 + 225897
Let y(v) = 12*v**2. Let b(p) = -p**2 + 29*p + 256. Let d be b(36). Let s(z) be the second derivative of 0 + 1/6*z**d - 3*z + 0*z**2 + 0*z**3. Determine y(s(u)).
48*u**4
Suppose 2*z = -0*o - 3*o + 62, -o + 4 = 4*z. Suppose -4*v - 8 + o = 0. Let d(r) = -v*r**2 + r**2 + r**2. Let h(n) = -3*n. Calculate h(d(m)).
6*m**2
Let k(t) = 3*t. Let v be 8 - (-3 + 11)/1. Let q(s) be the first derivative of 0*s**2 + v*s - 3 - 1/3*s**3. What is k(q(c))?
-3*c**2
Let b(w) = 3*w**2 - w**2 - 16*w + 16*w. Let n(a) = -2*a + 149 - 294 - a + 144. Calculate n(b(y)).
-6*y**2 - 1
Let o(m) = -3*m. Suppose -5*g + 0*g - q = -2023, -4*g + 1628 = 4*q. Let l(d) = -g*d + 404*d - 7*d**2. Give l(o(i)).
-63*i**2
Let v(k) = -147897*k**2. Let a(l) = -l**2. What is a(v(g))?
-21873522609*g**4
Let i(n) = 2*n**2. Let s(b) be the first derivative of -9*b**2/2 - 3. Let p = 1 + -7. Let o(v) = 4*v. Let f(c) = p*s(c) - 13*o(c). Calculate i(f(x)).
8*x**2
Let r(s) = -4 + 14*s - 12*s + 4 + 127*s**2 - 107*s**2. Let c(w) = 7*w**2 + 5. Let z(x) = 8*x**2 + 6. Let i(t) = -6*c(t) + 5*z(t). What is i(r(m))?
-800*m**4 - 160*m**3 - 8*m**2
Let u be (-9)/(-54) - 34/(-12). Let a(p) = 2*p - 4*p + p + u*p. Let s(l) = -6*l**2. What is a(s(w))?
-12*w**2
Let b(z) = -12*z**2 - 10*z. Let r(p) = -p**2 - p. Let i(u) = b(u) - 10*r(u). Let x(j) = -24*j**2 + 2*j. Give i(x(d)).
-1152*d**4 + 192*d**3 - 8*d**2
Let p(j)
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{
"pile_set_name": "DM Mathematics"
}
|
24 = -0*x, 3*w = x + 28. Suppose 4*b + 23 = a, 0*b = 3*b + 15. Solve 2*v = n - w, n = -3*v - a*n - 23 for v.
-5
Suppose 3*b + b = 0. Suppose 0 = -3*s - b*s + 12. Let y = 25 - s. Solve y = 4*z - 2*d - d, 2*z - 3*d - 15 = 0 for z.
3
Let d(w) = 7*w**2 + 3 - 2*w - 6*w**2 + 10*w. Let u be d(-8). Solve -17 = -3*i + k, -u*i + 0*k - 5*k - 13 = 0 for i.
4
Let w be (-132)/(-28) - 8/(-28). Solve 4*f = w*b - b, 4*b + 30 = -2*f for b.
-5
Let c(d) = -2*d - 9. Let y be c(-7). Suppose 0*q + q = y. Let w(s) = s**3 - 6*s**2 - 6*s + 4. Let z be w(7). Solve 4*x - q*p - 10 - 12 = 0, p + z = 3*x for x.
3
Suppose -2*d - d = -21. Let i = -3 + d. Solve 3*f + 5*k + 21 = 2*k, -12 = -4*f + i*k for f.
-2
Let s = -8 - -6. Let f(n) = n**2 + n + 2. Let d be f(s). Solve -2*b = -4*k - 0*b - 8, -2 = -2*k + d*b for k.
-3
Let g(d) = d - 4. Suppose 4*t = -5*w + 23 + 25, t = -5*w + 42. Let f be g(w). Solve 2*p + 6 = -f*u, -5*u - 14 = 2*p - 4 for u.
-4
Let z(l) = -2*l. Let u be z(-1). Let k be u/6 + 16/6. Solve k*n = -4*g + 27, -5*n = 2*g - 0*g - 31 for n.
5
Let v be (-50)/4*8/(-10). Let x be v/(-1 + -1 - -4). Suppose 5*y + 0*y = 0. Solve j - x = 0, -s - 4*j - 8 + 33 = y for s.
5
Let c(t) = t**2 - 19*t + 21. Let q be c(18). Solve -3*l - q*y = 15, -l - 13 = 4*l + y for l.
-2
Let d = -34 + 36. Solve 0 = -d*v - 4*t + 2, -5*v = -3*t + 10 - 2 for v.
-1
Let s(w) = -w**2 - 4*w - 2. Let z be s(-2). Let r = z - -2. Suppose 9 - 3 = 3*f. Solve 2*p = -2*y - f, 0 = y - r*y + p - 7 for y.
-2
Let a = 18 + -22. Let v(w) = w + 4. Let j be v(a). Solve 2*m + 3*y = 4, m + 2*m - 2*y - 19 = j for m.
5
Let c = -11 - -13. Suppose 4*b + 8 = -0. Let p be ((c - 2)/b)/(-2). Solve 2*w + 9 = 2*a + 5*w, -2*a + 4*w - 12 = p for a.
0
Let c(q) = -q**3 + q**2 - q + 4. Let k be c(0). Let t be 2/4 + 6/k. Solve 3*a - 15 = 0, 8 = -t*s + a + 3 for s.
0
Suppose -5*z - 5 = 4*b, 3*z - 5 = -20. Let p = 2 - -3. Suppose 3 = 2*w - p. Solve -b*x + 2*j + j = -20, -w*j = 3*x + 17 for x.
1
Let z be (-4)/(3 + -1) - -4. Suppose z*m = -3*h - 5, 5*m + 3*h + 1 + 7 = 0. Let s be 8/((-1)/(m/2)). Solve 3*k + j = 3, 5*k - 15 + 3 = -s*j for k.
0
Suppose 7*d = 4*d + 153. Let r = d - 33. Solve -2*i + r = -5*v, 5*i + 17 = -4*v - 4 for i.
-1
Suppose 4*x + 2 = 3*x. Let f = x + 5. Solve 1 + 4 = -f*p + b, 4*b = 2*p - 10 for p.
-3
Suppose -4*r = -u - 5 - 7, 0 = r - 5*u + 16. Solve 2*s - 1 + 3 = -2*h, 5*h + 3 = -r*s for h.
1
Suppose 0 = 22*t - 21*t - 6. Solve -w + 5*h + t = 2*w, 4*h + 3 = 3*w for w.
-3
Suppose -3*u - u + 2*m + 14 = 0, 2*u - 5*m = 19. Solve -1 = u*r - s + 1, 4*s - 4 = 4*r for r.
-1
Suppose 5*l - 2*l - 13 = -4*y, 0 = -5*l + y + 60. Solve -h = -2*a - 2*a - 7, -5*a = -2*h + l for a.
-1
Suppose -4*g - 2 = -4*d - 30, 0 = 5*g - d - 23. Solve -g*o + 36 = -4*l, 2*l - 5*l - 37 = -5*o for l.
-4
Let g be 6 + 2 + -2 + -1. Solve -g*m = -5*d + 20, 2*d + 3*m - 4*m = 6 for d.
2
Let w(k) = -k**2 + 4*k - 3. Let p be w(2). Let o = p + -3. Let y be (1/o)/((-4)/216). Solve 3*g = h - 14, 2*g - 2*h = 7*g + y for g.
-5
Let l be -1*2/((-6)/33). Solve -b + 4*y = 2*b - 2, 3*y = -4*b + l for b.
2
Suppose 0 = -12*b + 25 + 35. Solve 3*o = b*k - 11, 3*k - k - 11 = -o for k.
4
Suppose 2 = 2*c - 18. Let m = 20 + -18. Solve m*a = 4*k - c, -5*a + 2 = -5*k + 4*k for a.
1
Let d(a) be the third derivative of a**6/120 - a**5/20 - a**4/12 - a**3/2 + 4*a**2. Let m be d(4). Solve -2*l - 3 + 7 = -h, 0 = -m*l + h + 7 for l.
1
Let b = 3 + -1. Suppose -6 = -b*y - y. Solve d = -3*x - d - 4, 3*x = y*d - 8 for x.
-2
Let n be -4 + (-50)/(-12) + (-213)/(-18). Solve 6*l + 5*o - n = 3*l, -3*o = 2*l - 7 for l.
-1
Let j be (-4)/(-6) - (-308)/6. Suppose -j - 93 = -5*l. Solve -l = -2*p + 5*p - 5*h, 0 = 4*p + 5*h - 8 for p.
-3
Let k(p) = -p**3 - 10*p**2 + 9*p - 4. Let w be k(-11). Suppose 4*t - 3*r - w = -t, -3*t - 5*r = -4. Solve -30 = -z - 5*h, t*z = z + 2*h for z.
5
Let h = -100 + 105. Solve -5*x + 0*f - 2*f = 3, -x - h*f - 19 = 0 for x.
1
Suppose 5*t + 32 = -13. Let q be (-178)/t + 2/9. Solve 2*x - 4 = -5*v - 0*x, -q = -4*v + 4*x for v.
2
Let u(k) be the first derivative of k**3 + k + 1. Let y be u(-1). Let n = -9 - -16. Solve -3*b + n = 2*p, -p - 5*b + 15 = y*p for p.
2
Let o be -1*2/(0 - 1). Let t(k) = -2*k**2 - 5*k - 3. Let p(a) = a**2 + 3*a + 2. Let b(i) = 7*p(i) + 4*t(i). Let d be b(o). Solve d*g = -3*g, g = 3*s for s.
0
Let a = 41 - 39. Solve 6 = -a*u, 5*n + 5*u - 11 = 2*u for n.
4
Suppose -2*r = -2*f - 3*r - 11, -2*r = -4*f - 34. Let s = f - 13. Let y = 38 + s. Solve -4*h - 20 = -3*o, 5*h + 7 = -5*o - y for h.
-5
Suppose o - n - 1 = n, 0 = -4*o - n + 22. Solve -o*t + z - 18 = 0, 4*t + z + 12 = -6 for t.
-4
Let z = -65 - -69. Solve 2 = -4*a + a - 2*s, z*a = 3*s + 3 for a.
0
Let l(u) = -u**2 + 11*u - 6. Let z be l(10). Suppose 30 + 0 = 3*q. Solve -z*c - 2*g = 3*g + 45, q = -c - g for c.
-5
Let q be 96/(-9)*(-3)/2. Let a = -14 + q. Solve 1 + 10 = 3*x - a*w, 3*x + 17 = -5*w for x.
1
Let a be 4 - 6 - (-1 - 6). Solve -k + 10 = 2*p, 34 = 5*p + a*k + 9 for p.
5
Let n = 22 + -14. Suppose 4*c + 3*m = 5*m + 10, -2*c = 5*m + 1. Solve 5*i + 2*w = -19, -c*i - w + 1 - n = 0 for i.
-5
Let s = 3 + -1. Let y = 64 - 57. Solve r - y = -6*l + 3*l, -s = -2*l for r.
4
Suppose -3*s + s + 9 = c, 0 = -s + 4*c + 9. Solve s*x - 35 = -4*a, -5*a - x = x - 31 for a.
5
Let f(d) = -d**3 + 6*d**2 + 2*d - 10. Let t be f(6). Suppose 3*r = r + 50. Solve 4*n + n - p + r = 0, 10 = -5*n - t*p for n.
-4
Suppose 5*r - 75 = -0*r. Suppose -5*d = r, -3*d - 27 = -3*f - 8*d. Let u be 4/14 + 24/f. Solve 12 = w - 5*w, 0 = -3*q - u*w - 15 for q.
-3
Let s = 3 - -1. Let d(a) = -a + 6. Let t be d(s). Let u = 1 - 1. Solve m + u + 2 = -v, -2 = -t*m for v.
-3
Suppose -2*y + 100 = 3*y. Suppose 3*r = -r + y. Solve -r*g = 0, 0*z = 5*z + g for z.
0
Suppose -3*w + 15 = -w - 3*x, 2*w + 4*x + 6 = 0. Solve -w*l - 5*c = 34, -2*l - 5*c - 15 - 16 = 0 for l.
-3
Suppose -3*n = n. Solve -5*h = -z - 3, n = -2*h + 4*h for z.
-3
Let w = -3 - -6. Suppose 8*q - w*q - 30 = 0. Solve -q = k + 5*a, a + 11 = 2*k + 1 for k.
4
Let u = 17 + -13. Solve 3*h - q + 0*q = 10, 0 = -u*h + 4*q for h.
5
Let x = -2 + 2. Suppose q + q = x. Suppose -2*a + 6 = -q*a. Solve 3*s = a*g - 2*g + 11, 31 = 3*s - 5*g for s.
2
Let s(l) = l**3 - 15*l**2 + 12*l + 30. Let v be s(14). Solve -5*j + 20 = 4*h, -v*j - 3*h = -14 - 1 for j.
0
Let r be 15/5 + (-1 - 0). Solve s = 3*b + 4, -s + 4*s + 10 = -r*b for b.
-2
Let m = 30 + -24. Suppose 0*s - 110 = -5*s. Solve h = 5, -m*k = -2*k + 2*h - s for k.
3
Let c be (-72)/6*2/(-3). Solve -4*y = y - 2*t - 28, 0 = 5*y + 3*t - c for y.
4
Let c be (7/(-21))/((-2)/12). Let i be (-14)/(-1*c*1). Solve -5*g = 5*d + 15, -5*g - 3*d - 24 = -i*d for g.
-4
Let i = 16 - 14. Suppose 0 = 5*m + i - 17. Solve 5*d = -3*w + 4, -5*w = -m*d - 17 - 1 for w.
3
Let j be -112 + 5 - (-1 - 0). Let p = j - -43. Let v be 1/(-4) - p/12. Solve 5*y + 4*a - 16 = 0, -4*a - a + 15 = v*y for y.
4
Let u(b) = 6*b - 28. Let c be u(7). Solve -5*s - 3*j = -c - 5, -3*s = -3*j - 21 for s.
5
Let x = 3 + -6. Let y be 2/(-4)*(0 + 4). Let k be 6 - ((-12)/x + y). Solve -r + 9 = -k*w, -3*r - w = -4*w for r.
-3
Let c = 1 - -1. Let m = -5 - -5. Suppose m = -z + c*z - 3, -3*w + 2*z = -9. Solve -w*l = -2*q + 4 + 19, -2*l - 2*q = 12 for l.
-5
Let c(k) = k**2 + 7*k + 9. Let r be c(-6). Suppose r - 1 = j. Solve 5*t - j*m - 3 + 15 = 0, t - 3*m = 8 for t.
-4
Let x = 0 + 2. Suppose -x*t - 3*r - 4 + 3 = 0, 3*t + 3*r = 3. Solve 0 = -4*h - t, 4*k - 2 = 5*k + 4*h for k.
2
Let c(b) = -4*b + 10. Let u be c(2). Solve o - m + 13 = u*m, -3*m = -15 for o.
2
Let c be (28/12)/((-3)/(-18)). Solve 2*m = 3*j + m + c, -4*j + 4*m = 16 for j.
-5
Let o be (1 - 23) + 2/1. Let m be 25/o*4/(-1). Solve -5*z + 4*s = -3*z, 4*z - m*s + 6 = 0 for z.
-4
Let z = -15 - -21. Suppose 23 = 5*b - 7. Suppose -z*v + 3*v + b = 0. Solve -5*j = 2*f + 15, 0 = -3*f - 0*j - v*j + 5 for f.
5
Let v(o) = 6 + 2*o**2 - 2*o**2 + 6*o + 6*o**2 - 5*o**2. Let c be v(-5). Solve 2*s = -5*d + 35, d - 5*s + 21 = c for d.
5
Let a be (6/8)/((-15)/(-80)). Solve 0 = -4*m - 2*t + 4 - 12, -2*t + a = 0 for m.
-3
Let h(f) = f**3 - 2*f**2 - 2*f - 1. Suppose -6 = -4*y + 10. Let j be h(y). Solve 4*w + 2 = 5*n - 15, -j = -3*n - 4*w for n.
5
Suppose -4*f = -2*m - 8, -3 = -f - 4*m + 8. Let y = -29 - -21. Let d = -6 - y. Solve -3*p - d = 4*w + f, -w = 4*p + 11 for p.
-3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
Determine u so that u**3 - 147*u**2 + 1379*u - 1233 = 0.
1, 9, 137
Solve y**2/3 + 609094*y/3 + 92748875209/3 = 0 for y.
-304547
Let -2*a**5/5 - 268*a**4/5 + 2532*a**3/5 - 5968*a**2/5 + 5422*a/5 - 1716/5 = 0. What is a?
-143, 1, 6
Solve 3*a**3/2 + 1476*a**2 + 20427*a/2 - 43965 = 0 for a.
-977, -10, 3
Let -2*b**2/7 + 484*b/7 - 21594/7 = 0. Calculate b.
59, 183
Factor 4*i**4 - 19360*i**3 + 23464288*i**2 - 93624960*i + 93547584.
4*(i - 2418)**2*(i - 2)**2
Find v, given that 5*v**2/3 + 1050*v = 0.
-630, 0
Solve 16*l**5/5 + 112*l**4 - 1356*l**3/5 - 6176*l**2/5 + 6908*l/5 - 1776/5 = 0.
-37, -3, 1/2, 4
Find f, given that -2*f**4 - 30*f**3 + 402*f**2 - 706*f + 336 = 0.
-24, 1, 7
Solve -8*m**2/7 + 17614*m/7 + 4404/7 = 0.
-1/4, 2202
Suppose -4418*g**5/7 + 640046*g**4/7 + 2688946*g**3/7 + 4185082*g**2/7 + 2885600*g/7 + 745000/7 = 0. Calculate g.
-50/47, -1, 149
Let 2*q**2/5 - 375384*q/5 + 17614143432/5 = 0. What is q?
93846
Factor -74241*o**3 + 296962*o**2 - 296956*o - 8.
-(o - 2)**2*(74241*o + 2)
Let b**3 + 26*b**2 - 487*b - 2960 = 0. What is b?
-37, -5, 16
Factor 4*s**2 + 79496*s + 394975876.
4*(s + 9937)**2
Factor -i**2 - 13813*i - 27622.
-(i + 2)*(i + 13811)
Factor j**4/4 - 97*j**3/4 + 93*j**2/2 + 97*j - 190.
(j - 95)*(j - 2)**2*(j + 2)/4
Factor g**2/9 - 371*g/9 + 6688/9.
(g - 352)*(g - 19)/9
Solve -g**3 - 1229*g**2/2 + 16943*g/2 - 4082 = 0 for g.
-628, 1/2, 13
Factor -4*s**2 + 86432*s - 86428.
-4*(s - 21607)*(s - 1)
Factor -4*y**3 + 1432*y**2 - 105764*y - 4171888.
-4*(y - 193)**2*(y + 28)
Determine z, given that 1362420*z**5 + 42759108*z**4 + 57111056*z**3 + 15466240*z**2 - 247168*z + 960 = 0.
-30, -1, -2/5, 2/261
Factor 2*z**5/3 + 524*z**4/3 - 1054*z**3/3 + 176*z**2.
2*z**2*(z - 1)**2*(z + 264)/3
Factor 9*x**2 - 336039*x + 224022.
3*(x - 37337)*(3*x - 2)
What is n in -n**3/5 - 40*n**2 - 3008*n/5 - 11776/5 = 0?
-184, -8
Find m, given that -m**3 + 952*m**2 + 15424*m + 61952 = 0.
-8, 968
Determine f so that -2*f**2/5 - 192*f/5 - 3886/5 = 0.
-67, -29
Determine o, given that -o**3/2 + 732*o**2 - 2909*o/2 - 10965 = 0.
-3, 5, 1462
Suppose 8*v**3 - 5796*v**2 + 2591961*v/2 - 184339957/2 = 0. What is v?
703/4, 373
Determine o so that -2*o**2/3 - 192308*o = 0.
-288462, 0
Factor -2*t**5/13 - 374*t**4/13 + 2292*t**3/13 - 4616*t**2/13 + 3088*t/13.
-2*t*(t - 2)**3*(t + 193)/13
Factor -5257*g**2/2 + 5253*g/2 + 2.
-(g - 1)*(5257*g + 4)/2
Factor -2*z**2/3 + 19130*z/3 - 139964.
-2*(z - 9543)*(z - 22)/3
Factor 4*l**3 - 5908*l**2 + 82124*l - 286748.
4*(l - 1463)*(l - 7)**2
Suppose -5*y**4 + 1260*y**3 - 4885*y**2 - 18690*y + 22320 = 0. Calculate y.
-3, 1, 6, 248
Find k, given that -25*k**4 - 1155*k**3 - 65421*k**2/4 - 139293*k/2 - 363609/4 = 0.
-201/10, -3
Let -b**3/5 + 4*b**2 + 43*b/5 + 22/5 = 0. What is b?
-1, 22
Factor -v**2 + 33414*v - 279123849.
-(v - 16707)**2
Find k such that -5*k**4 + 310*k**3 - 360*k**2 - 14400*k = 0.
-6, 0, 8, 60
Factor -5*o**2 - 2290*o - 4560.
-5*(o + 2)*(o + 456)
Let -26*o**5/9 + 242*o**4/9 + 188*o**3/9 - 80*o**2/9 = 0. What is o?
-1, 0, 4/13, 10
Find a such that -a**5 - 35*a**4 + 2*a**3 + 70*a**2 - a - 35 = 0.
-35, -1, 1
Determine j, given that 10*j**3 - 2342*j**2 - 4252*j + 944 = 0.
-2, 1/5, 236
Factor 2*d**3 + 52*d**2 + 176*d.
2*d*(d + 4)*(d + 22)
Factor -5*v**2/4 + 689125*v - 94978653125.
-5*(v - 275650)**2/4
Factor 267*l**3 - 537*l**2 - 795*l + 9.
3*(l - 3)*(l + 1)*(89*l - 1)
Find n, given that 10353*n**2/4 - 5172*n - 9 = 0.
-6/3451, 2
Solve -n**4 - 2136*n**3 - 1267254*n**2 - 135240840*n - 4008789225 = 0 for n.
-1005, -63
Factor 3*f**2/5 + 42*f - 52632/5.
3*(f - 102)*(f + 172)/5
What is l in 5*l**4/9 - 1148*l**3/3 - 14534*l**2/9 - 4388*l/3 - 231 = 0?
-3, -1, -1/5, 693
Solve -16*p**3/9 + 4844*p**2/9 - 114400*p/3 - 400192 = 0.
-37/4, 156
Factor 2*b**2/21 + 22436*b/21 - 22478.
2*(b - 21)*(b + 11239)/21
Suppose 2*z**5/3 + 96*z**4 - 4286*z**3/3 + 21524*z**2/3 - 14680*z + 31600/3 = 0. Calculate z.
-158, 2, 5
Suppose 2*w**5/7 + 396*w**4/7 + 1168*w**3/7 - 396*w**2/7 - 1170*w/7 = 0. What is w?
-195, -3, -1, 0, 1
Factor 5*a**2/2 - 625*a/2 - 6435.
5*(a - 143)*(a + 18)/2
Factor -m**2 + 122*m + 1320.
-(m - 132)*(m + 10)
Factor -2*l**3/9 - 3836*l**2/9 - 1820032*l/9 + 18585920/9.
-2*(l - 10)*(l + 964)**2/9
Factor 3*j**3 + 939*j**2 - 8634*j + 19320.
3*(j - 5)*(j - 4)*(j + 322)
Solve -10*i**5 - 335*i**4/3 + 6785*i**3/3 + 10500*i**2 + 36260*i/3 + 5200/3 = 0.
-20, -2, -1/6, 13
Factor -z**2/5 - 78046*z/5 - 1522794529/5.
-(z + 39023)**2/5
Determine t so that -3*t**3 + 74184*t**2 + 2227545*t + 16711650 = 0.
-15, 24758
Factor 3*d**5/2 - 117*d**4 - 483*d**3 - 732*d**2 - 981*d/2 - 123.
3*(d - 82)*(d + 1)**4/2
Find o, given that -8*o**2 - 261598*o + 65400 = 0.
-32700, 1/4
Find r such that -33*r**5/5 + 138*r**4/5 + 1401*r**3/5 + 582*r**2/5 - 2808*r/5 = 0.
-4, -2, 0, 13/11, 9
Factor u**2/2 + 49419*u/4 + 24709/4.
(u + 24709)*(2*u + 1)/4
Determine j, given that 4*j**2 + 712*j - 7520 = 0.
-188, 10
Suppose t**3/11 - 4122*t**2/11 + 4119*t/11 + 8242/11 = 0. What is t?
-1, 2, 4121
Factor -3*f**2 - 6543*f - 84552.
-3*(f + 13)*(f + 2168)
Factor -5*o**2/6 - 59225*o/2 + 88840/3.
-5*(o - 1)*(o + 35536)/6
Let -5*s**5/4 + 277*s**4/4 - 185*s**3/2 - 109*s**2 + 54*s = 0. Calculate s.
-1, 0, 2/5, 2, 54
Factor 2*a**2/9 + 9226*a - 83036/9.
2*(a - 1)*(a + 41518)/9
Factor 7*x**2/6 + 1205*x/3 + 344/3.
(x + 344)*(7*x + 2)/6
What is b in -b**2/6 - 721*b/6 - 1185 = 0?
-711, -10
Determine c, given that -c**4/5 - 288*c**3 - 514053*c**2/5 + 3136374*c/5 = 0.
-723, 0, 6
Solve 68*b**5/7 + 9196*b**4/7 + 7944*b**3 + 16912*b**2 + 95072*b/7 + 16512/7 = 0 for b.
-129, -2, -4/17
Determine w so that -w**2 + 20*w + 1421 = 0.
-29, 49
Factor -4*l**3 - 2540*l**2 - 401952*l + 404496.
-4*(l - 1)*(l + 318)**2
Factor -5*r**2 + 32630*r.
-5*r*(r - 6526)
Suppose -504*s**3/5 - 9092*s**2/5 - 41184*s/5 - 324 = 0. What is s?
-9, -5/126
Factor 4*k**4 - 5768*k**3 + 2090832*k**2 - 8242616*k - 10339220.
4*(k - 719)**2*(k - 5)*(k + 1)
Factor 2*p**2/9 + 7774*p/9 + 7768/3.
2*(p + 3)*(p + 3884)/9
What is c in 3*c**3 - 65847*c**2 + 4073865*c - 63100221 = 0?
31, 21887
Factor -147*d**2 - 5442*d - 111.
-3*(d + 37)*(49*d + 1)
Factor -c**2/2 - 149*c/2 + 465.
-(c - 6)*(c + 155)/2
Suppose 12*g**4 + 273*g**3 + 1131*g**2 - 3900*g + 900 = 0. What is g?
-15, -10, 1/4, 2
Solve -h**2 - 505*h - 5434 = 0 for h.
-494, -11
Factor -64*o**4 - 4752*o**3 - 121980*o**2 - 1182275*o - 2572125.
-(o + 3)*(4*o + 95)**3
Suppose -o**2 - 69*o - 1134 = 0. Calculate o.
-42, -27
Let 6*l**3/5 + 105894*l**2/5 = 0. What is l?
-17649, 0
Find o such that -3*o**3 - 8745*o**2 + 353400*o - 3546000 = 0.
-2955, 20
Factor -4*r**2 + 13288*r + 26592.
-4*(r - 3324)*(r + 2)
Factor o**4/4 + 163*o**3/8 + 30*o**2.
o**2*(o + 80)*(2*o + 3)/8
Find z, given that 5*z**4 - 200*z**3 + 655*z**2 + 7400*z + 10500 = 0.
-3, -2, 10, 35
Factor -5*d**3 - 240*d**2 + 4800*d + 256000.
-5*(d - 32)*(d + 40)**2
Determine g, given that -3*g**2/7 - 99576*g/7 + 99579/7 = 0.
-33193, 1
Let -2*k**4 + 50*k**3 + 878*k**2 + 4030*k + 5700 = 0. Calculate k.
-5, -3, 38
Factor -5*i**5/3 - 100*i**4 - 1775*i**3 - 12650*i**2/3 + 84700*i - 159720.
-5*(i - 3)**2*(i + 22)**3/3
Factor -3*h**2/4 - 735*h/4 - 4851/2.
-3*(h + 14)*(h + 231)/4
Determine p, given that -4*p**5 + 216*p**4 - 188*p**3 - 1272*p**2 = 0.
-2, 0, 3, 53
Find x, given that 35*x**3/4 + 3665*x**2/2 + 93545*x - 252810 = 0.
-106, 18/7
Factor -3*x**3 + 2274*x**2 - 325563*x - 42134640.
-3*(x - 419)**2*(x + 80)
Factor -c**3/2 + 1273*c**2/2 + 637*c.
-c*(c - 1274)*(c + 1)/2
Factor -2*t**3 + 7264*t**2 - 416266*t + 6011468.
-2*(t - 3574)*(t - 29)**2
Factor r**3 + 725416*r**2 - r - 725416.
(r - 1)*(r + 1)*(r + 725416)
Suppose o**2 + 905656*o + 905655 = 0. Calculate o.
-905655, -1
Determine s so that -6*s**5 - 386*s**4/7 - 1290*s**3/7 - 1870*s**2/7 - 1068*s/7 - 144/7 = 0.
-3, -2, -1, -4/21
Factor 2*a**2/9 + 60112*a/3 + 180334/9.
2*(a + 1)*(a + 90167)/9
Factor 2*z**3 - 16656*z**2 + 34711080*z - 138577952.
2*(z - 4162)**2*(z - 4)
Determine w, given that -4*w**4 + 16816*w**3 + 50472*w**2 + 50480*w + 16828 = 0.
-1, 4207
Solve -2*z**3/17 - 2988*z**2/17 - 1202880*z/17 - 63569344/17 = 0.
-716, -62
Factor 4*h**3 + 579692*h**2 + 21002386080*h - 21002965776.
4*(h - 1)*(h + 72462)**2
Let -4*j**3 - 28*j**2 + 56*j + 192 = 0. Calculate j.
-8, -2, 3
Determine x so that x**3
|
{
"pile_set_name": "DM Mathematics"
}
|
est to l in 0.2, -24, -0.5?
0.2
Let p = -26.7 + 162.7. Let y = p + -135.92. What is the closest to y in 1/3, 0.4, 2?
1/3
Let q(x) = 13*x + 5. Let r be q(-3). Let l be 7/35 + r/20. Let s be 30/56 + 4/(-16). Which is the nearest to s? (a) l (b) 4 (c) 0.3
c
Let x = 0.8 + -14.8. Let k = 14 + x. What is the closest to 2/5 in -5, 0.2, k?
0.2
Let o = 2 + -3. Let g = 194 + -73. Let x = g + -607/5. What is the nearest to o in 0.03, x, 0?
x
Let d = -34.43 + 34. Let g = d + 0.62. Let o = g - 0.49. What is the closest to -3/5 in 2, o, -3?
o
Let z = 192 - 188. Which is the closest to -2/5? (a) z (b) 1/2 (c) -1.4
b
Let h be 2/(-4) - 39/(-42). Let o = -83.62 - -16.72. Let z = o + 67. Which is the closest to z? (a) -0.4 (b) 3 (c) h
c
Let h be 6/(-8)*4/12. Which is the closest to h? (a) -0.4 (b) -5/2 (c) -5 (d) -6
a
Let q = -0.89 + -0.01. Let n = 191 + -192. Let m = q - n. Which is the nearest to 2/13? (a) m (b) 2 (c) 2/3
a
Let f = -7/36 - -85/252. What is the closest to -3 in 0, 2/9, f?
0
Let q = -28 + 41. Let c = q - 12. Let g = 0 + 0.1. What is the closest to g in c, 0, 1/4?
0
Let b(z) = -18*z**2 + 197*z + 18. Let v be b(11). Let c = 3 + -1. What is the nearest to 0.1 in c, v, -2/9?
-2/9
Let r(g) = -7*g**2 + 1. Let s be r(1). Let v be (-18)/(-12)*(-4 + 6). Let o be -1*(1/(-3) - -1). Which is the closest to s? (a) o (b) -3/4 (c) v
b
Let v = -0.15 + 0.07. Let f = 878.2 + -878. What is the nearest to -1 in f, 0.1, v?
v
Let s be (4/(-54))/((-22)/231). Let j = 1 - s. Let p = 6.3 - 6. What is the closest to p in -2/5, j, -2?
j
Let s be ((-2)/2)/((0 + -3)/(-6)). Let c be (s + -3)*3/9. What is the nearest to 0.1 in c, 5, -3?
c
Let y = -28 + 28.024. Let u = y - 0.024. What is the nearest to -0.1 in u, 4, -0.3?
u
Let c = -230 - -226. What is the closest to 1/4 in 1, c, 0?
0
Let s be 15/10*4/54. Let l = -3.5 - -3. Let h = 3.7 - 3.68. What is the closest to 2/5 in l, h, s?
s
Let u be 50/12 + (-195)/117. What is the closest to -0.1 in -4, u, -72?
u
Let b = 460.7 + -460.7. Let k(s) = s**2 + 10*s + 1. Let p be k(-10). What is the closest to -0.2 in b, p, -5?
b
Let s = -484/1743 - 2/249. Let n = -918.5 - -919. Which is the closest to -0.2? (a) n (b) -0.1 (c) s
c
Let n = -1/254 - -445/127. Which is the nearest to -2/9? (a) n (b) 4 (c) -3
c
Let v = -7257/8 + 907. What is the nearest to 2 in 0, v, -4?
0
Suppose 3*d = 2*d. Let c = 519 - 517. What is the closest to c in 0.6, d, -0.4?
0.6
Let z = 910 - 926. Which is the nearest to z? (a) 4/9 (b) 5 (c) -5/6
c
Let m = 27.4 + -27.4. Let d be -2 + -1 + 2 + 3. Which is the nearest to m? (a) -0.5 (b) d (c) 3
a
Let i = 0 + 0. Let g be 405/(-243) + 11/3. Which is the closest to i? (a) 0.3 (b) g (c) 0.5
a
Let o = 5.402 + -0.402. What is the nearest to 0.1 in 3, -5, o, -1/3?
-1/3
Let c = 46 - 45. Let l be 6*(3 - 4) - -4. Let z = 8 - 12. What is the closest to -1 in z, c, l?
l
Let f = -20.983 + -0.017. Let u = f - -22. Which is the nearest to u? (a) 5 (b) 4/3 (c) -2
b
Suppose 3*k + k = 140. Let x be (6/1)/(k/5 - 5). What is the closest to -0.8 in x, 4/9, -0.2?
-0.2
Let y be 18/(-144)*(-2 + 0). Which is the closest to -3.9? (a) 2/3 (b) -0.2 (c) y
b
Let b = 10.57 + -10.57. What is the closest to 9 in b, 3, 1, -5?
3
Let f(n) be the third derivative of -n**4/24 + n**3/6 - 7*n**2. Let g be f(4). Which is the closest to -2? (a) -0.2 (b) 4 (c) g
c
Let f = 18 + -18. Let t be (-3)/(-6)*(-6)/15. Which is the closest to f? (a) t (b) 0.3 (c) 0.5
a
Let i = 1.1 - 1. Let f = i - 0.1. Let x be (-7)/21*9/(-6). Which is the closest to f? (a) -2 (b) -0.1 (c) x
b
Let x = -4.99 + -0.01. Let g = -5.3 - x. Let j be (-51)/9 + 4*(-25)/(-20). Which is the nearest to j? (a) 1/3 (b) 2 (c) g
c
Let b = -0.3 + 0.5. Let s(c) = 11*c - 78. Let t be s(7). What is the closest to t in 5, b, -3/7?
-3/7
Let w be (285/190 + 14/(-8))/(3/(-8)). Let p = -0.7 + 1. What is the closest to w in 3/8, -3, p?
3/8
Let q = -0.3 - -0.5. Let v be (-15)/3*1*-41. Let n = v + -1843/9. What is the nearest to -0.5 in n, q, -4?
q
Let q = -4 + 10. Let z = -11 + q. Let h = 238 + -234. Which is the nearest to 0.2? (a) h (b) z (c) -4
a
Let z = 1045 + -1048. Let x = -22.69 + -0.31. What is the nearest to x in 0.1, 0.5, z?
z
Let c = -0.11 + 0.16. Let m = 0.05 - c. Let s = 0.21 + -0.61. What is the closest to m in s, -3, 0?
0
Let b = -449.5 - -449. What is the closest to -1/2 in 4, b, 3?
b
Let u be -2*((-22)/(-4) + -4). Let s = 10.02 + -10. Let g = s - -2.98. What is the closest to 4/7 in u, g, -5?
g
Let s be (-12)/27 - (-600)/135. Let p = -3 - -2. Let m = p + 1. Which is the closest to 3? (a) m (b) 3 (c) s
b
Let z = 18 + -13. Let l = 0 + z. Let r = 0.57 + -0.67. What is the nearest to r in 4, 2/19, l?
2/19
Let f be 1/((-34)/85 + (-6)/(-10)). Which is the closest to -3/2? (a) f (b) -2/11 (c) -2
c
Let q = -0.02 + -1.98. Let b = q + 2.2. What is the nearest to b in -3, -5, 0.1?
0.1
Let r = 304 + -305. Which is the closest to r? (a) -2 (b) -1 (c) 0.3
b
Let o = 1.221 + -0.421. Which is the nearest to 1/3? (a) -2 (b) 7 (c) -0.4 (d) o
d
Suppose 29*f - 23*f - 12 = 0. Let t = -1750 - -98013/56. Let n = t - -3/56. What is the nearest to 0 in n, f, 3?
n
Let f be 18 - 11 - (4 + -1). Let u be (-3)/(90/f)*-3. Let m = 593/2051 - 1/293. What is the closest to m in -0.3, 1, u?
u
Let z = -145 + 248. Let l = -103.1 + z. What is the nearest to l in -4, 3/4, -1.1?
3/4
Let i(w) = 2*w**2 - 60*w - 449. Let m be i(-6). Which is the closest to m? (a) 2 (b) 2/21 (c) -1/4 (d) -3/5
d
Let n(o) = -6*o - 66. Let u be n(-11). Let w = -9.119 - -0.119. Which is the nearest to w? (a) 1 (b) u (c) -0.2
c
Let c = 68 + -67.9. What is the nearest to c in -4/3, -18, 0.1, -4?
0.1
Suppose 34 = 3*y - 2*o - 9, -o = -2*y + 28. Let q = 9 - y. Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) q
a
Let f = -1 - -2. Let g = 126 + -122. Let l = g - f. What is the closest to 2 in -5, l, -0.1?
l
Let r = -91/123 - -3/41. Let b = 3414 - 3417. What is the closest to r in 4, -2/11, b?
-2/11
Let c = 2 - -2. Let l be (-1)/c - 2/(-8). Suppose 0 = -155*h + 182*h - 54. What is the nearest to l in 0, -1/5, h?
0
Let o = -661 - -661. Which is the closest to -3? (a) 0.1 (b) 5 (c) o (d) 1
c
Let o = -0.702 - -0.202. Which is the closest to -15? (a) o (b) -1/4 (c) 0.1 (d) 1
a
Suppose -2*l + 7 = 5. Let z(y) = -5*y**2 + 5*y - 4. Let b be z(l). What is the closest to -2/5 in -3, b, 3/26?
3/26
Let k = -0.9 - -5.9. Let x = 128 + -129. What is the nearest to -1 in x, -3, k?
x
Let r = 0.37 - -34.63. Let z = -36 + r. Which is the closest to 7? (a) 4 (b) z (c) 1/10
a
Let d = 0.13 - 0.43. Let g = -0.1 - -1.1. Let m = -4.9 + 4.7. Which is the nearest to m? (a) g (b) 5 (c) d
c
Suppose 2*v = 2*o + 32, 5*o + 309 = 314. Suppose -2*z + 34 = -0*z. Let y = z - v. Which is the closest to -1/8? (a) -3 (b) 5/4 (c) y
c
Let x = 6.96 - 7. Let g = x - -0.24. Let r = -5 + 1. What is the closest to -1 in g, r, -2/19?
-2/19
Let u = 7.29 + 1.71. What is the closest to u in 1, -1, 5?
5
Suppose -199*l + 195*l = 5*c, -5*l = 0. What is the closest to 0 in c, -24/5, 2, -1/5?
c
Let z be (-425)/825 - 3/(-9). Which is the nearest to z? (a) 2 (b) -2/3 (c) -0.2
c
Let q be (-48)/(-16) - 7*1. Let p = -8 - -8.02. Let m = 0.08 + p. What is the nearest to m in 0, q, 2?
0
Let y = -87/2 + 46. Let a be (-44)/(-60) - (-2)/(-5). Suppose -228 = -282*n + 168*n. What is the closest to a in n, -5, y?
n
Let q be 30/18 + (-204)/90. Which is the closest to 2/5? (a) 2/19 (b) q (c) -1
a
Let g be (-2)/((60/25 - 4) + 2). Which is the closest to 0.1? (a) g (b) 0.3 (c) -3 (d) 5
b
Let h = -19 + 12. Let j = 8.8 + -9. What is the nearest to h in j, -1, -5?
-5
Let w = -3.5 + 3. Let d be (-4)/963*-3*6/(-4). Let v = d - 204/535. Which is the nearest to -1? (a) 0 (b) w (c) v
b
Let o = -25.5 + 24.5. Which is the nearest to -10? (a) -0.5 (b) o (c) 4
b
Let j be (-1)/(-2)*(4 - 3). Suppose -23 - 257 = 56*n. Let s be (-1 - -1) + (-2)/8. What is the nearest to j in s, -2/9, n?
-2/9
Let h = 467 + -492. Which is the nearest to h? (a) 5 (b) 0 (c) -0.3 (d) 1/4
c
Let s = -44.5 - -66. Let j = s + -21. What is the nearest to 0 in j, -1/12, -4/5?
-1/12
Let v = -13 + -44. Let m = 57.3 + v. Which is the nearest to -1? (a) -4/3 (b) -20 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
ighest common divisor of 4399164 and 4312.
308
Calculate the greatest common divisor of 913 and 308394966.
913
What is the highest common factor of 548730 and 53937?
117
What is the greatest common factor of 26108780 and 40?
20
What is the greatest common divisor of 19022778 and 403?
31
What is the greatest common divisor of 17611 and 590392?
11
Calculate the highest common factor of 345441024 and 3456.
3456
What is the highest common factor of 948 and 605293576?
316
Calculate the greatest common factor of 40 and 20006408.
8
Calculate the greatest common divisor of 52 and 91958750.
26
What is the highest common factor of 1740 and 134116880?
580
What is the highest common divisor of 54929 and 18620?
931
What is the greatest common factor of 11986 and 24921199?
461
What is the greatest common divisor of 17407 and 722644?
169
Calculate the highest common divisor of 93317637 and 2121.
2121
Calculate the highest common factor of 97299 and 4801791.
1707
What is the highest common factor of 82212 and 34192938?
2418
Calculate the highest common divisor of 7236 and 62532.
108
Calculate the greatest common divisor of 15456681 and 432.
9
Calculate the highest common divisor of 216718230 and 240.
30
What is the highest common factor of 3255432 and 964752?
2424
Calculate the greatest common divisor of 3220842 and 62814.
2166
Calculate the highest common factor of 7 and 11716537.
7
What is the greatest common divisor of 7137030 and 150?
30
Calculate the highest common factor of 3734 and 5283128314.
3734
What is the greatest common factor of 1452 and 14863706?
22
Calculate the highest common factor of 1184 and 25892378.
74
What is the highest common factor of 550 and 19331650?
50
Calculate the greatest common factor of 4165 and 295120.
595
What is the highest common factor of 2 and 4583285?
1
Calculate the highest common factor of 494340 and 618156.
924
Calculate the highest common divisor of 11060 and 6066094.
158
Calculate the highest common divisor of 10087 and 3655162.
917
What is the greatest common factor of 64 and 59381504?
64
Calculate the highest common factor of 102789 and 48107439.
2187
Calculate the highest common divisor of 21 and 261136603.
7
Calculate the highest common divisor of 186416128 and 3584.
512
Calculate the greatest common factor of 387506 and 3827.
89
What is the highest common factor of 3555232 and 2651?
241
What is the highest common divisor of 83931260 and 9548?
868
What is the greatest common divisor of 30811935 and 2220?
555
What is the highest common factor of 1605350 and 6208?
194
What is the highest common factor of 49785339 and 190?
19
Calculate the greatest common factor of 2080 and 2851355.
65
What is the highest common divisor of 433 and 77468896?
433
Calculate the greatest common factor of 66357097 and 142.
71
What is the highest common factor of 24 and 555465784?
8
What is the greatest common divisor of 2181969 and 360?
9
What is the greatest common divisor of 60844650 and 592?
74
Calculate the greatest common factor of 584023635 and 15478.
7739
Calculate the highest common divisor of 55395306 and 3186.
54
Calculate the highest common factor of 1757322 and 22869.
189
What is the greatest common divisor of 588 and 110923680?
84
Calculate the greatest common divisor of 40318 and 2306614.
2122
What is the highest common factor of 3581067 and 529788?
2499
What is the highest common divisor of 49252 and 205072?
28
Calculate the highest common divisor of 11187 and 602403.
339
What is the greatest common divisor of 845 and 145778555?
845
What is the highest common factor of 388492012 and 20598?
6866
What is the greatest common divisor of 147693646 and 94?
94
What is the highest common divisor of 625 and 33000000?
625
What is the greatest common divisor of 11367130 and 570?
190
What is the greatest common factor of 6048 and 834813?
189
Calculate the greatest common factor of 444427410 and 21.
21
What is the greatest common divisor of 2691844 and 20?
4
Calculate the highest common factor of 186273158 and 706.
706
Calculate the highest common factor of 7084 and 37154292.
644
What is the greatest common divisor of 19858440 and 8?
8
What is the highest common divisor of 112 and 11696944?
112
What is the greatest common factor of 345465 and 155?
5
What is the highest common divisor of 28220310 and 2070?
2070
Calculate the highest common factor of 17806205 and 40.
5
What is the greatest common divisor of 891 and 5973?
33
Calculate the highest common divisor of 5295 and 1525.
5
What is the greatest common divisor of 2156 and 961664?
44
Calculate the highest common divisor of 728297 and 459.
17
Calculate the highest common divisor of 1179698 and 9227192.
7514
What is the highest common factor of 412 and 11548463?
103
Calculate the greatest common divisor of 648 and 21022944.
24
Calculate the greatest common divisor of 1479749 and 711.
79
Calculate the greatest common divisor of 454923 and 137448.
747
What is the highest common factor of 3866555 and 1003695?
4235
What is the greatest common divisor of 37211 and 6768007?
293
What is the greatest common divisor of 9893258 and 458?
458
What is the greatest common divisor of 1992 and 2348817?
249
Calculate the greatest common factor of 48 and 120519276.
12
What is the greatest common factor of 1071459 and 19125?
153
Calculate the highest common divisor of 1153812 and 55.
11
Calculate the greatest common divisor of 772027 and 5621853.
3401
What is the greatest common factor of 5396445 and 20?
5
What is the greatest common divisor of 39200425 and 275?
275
What is the greatest common factor of 43621 and 41992?
181
Calculate the highest common divisor of 16564 and 16002844.
404
What is the highest common divisor of 90041328 and 234?
234
What is the highest common factor of 2271 and 16504871?
757
Calculate the highest common factor of 374417 and 46.
23
Calculate the greatest common divisor of 1793937 and 68769.
849
Calculate the greatest common factor of 120431904 and 120984.
1704
Calculate the greatest common factor of 226287 and 423963.
2601
What is the greatest common divisor of 9371700 and 1430?
130
Calculate the highest common factor of 6076 and 606701.
31
Calculate the greatest common factor of 560 and 1023140.
20
Calculate the greatest common divisor of 99143 and 54791.
11
What is the highest common divisor of 380064 and 23902944?
10272
Calculate the highest common divisor of 5965272 and 594.
54
What is the highest common factor of 67643 and 931362?
391
Calculate the highest common factor of 129 and 104017.
43
Calculate the highest common factor of 30590048 and 144.
16
Calculate the highest common divisor of 6988797 and 1044.
261
Calculate the highest common factor of 6873 and 13764328.
2291
What is the highest common factor of 96937 and 4012?
59
Calculate the highest common divisor of 16 and 12244016.
16
Calculate the highest common divisor of 47993121 and 566.
283
What is the highest common factor of 26447400 and 1680?
840
What is the highest common factor of 59810 and 8390?
10
What is the highest common factor of 95779 and 198516?
71
What is the greatest common divisor of 721602 and 118818?
2898
Calculate the greatest common divisor of 1 and 71853036.
1
What is the greatest common factor of 325 and 9631258?
13
What is the highest common factor of 3 and 3186471?
3
What is the highest common factor of 1541386052 and 5484?
1828
Calculate the greatest common factor of 715 and 2906618.
143
Calculate the highest common divisor of 50005 and 4218915.
685
Calculate the greatest common factor of 139252796 and 892.
892
Calculate the greatest common factor of 89784420 and 55428.
1788
Calculate the highest common factor of 46692775 and 200.
25
Calculate the greatest common factor of 7287543 and 459.
459
Calculate the greatest common factor of 39 and 14268722.
13
What is the greatest common factor of 62816 and 45125444?
7852
What is the greatest common divisor of 13064216 and 132?
44
Calculate the greatest common factor of 254208854 and 2278.
2278
What is the highest common divisor of 16 and 1434544?
16
What is the highest common factor of 76288 and 58976?
32
Calculate the highest common factor of 42 and 38517934.
14
What is the greatest common divisor of 2501733 and 345?
69
Calculate the hig
|
{
"pile_set_name": "DM Mathematics"
}
|
a(-48) a multiple of 45?
True
Let q(h) = 398*h + 4877. Is q(-4) a multiple of 15?
True
Suppose 0 = -2*a - 15*z + 16*z + 23, 3*z + 58 = 5*a. Suppose a*r + 1477 - 5272 = 0. Is 15 a factor of r?
True
Let t = -377 - -379. Suppose 2*o + 8 = 0, -t*g + 404 = -5*o - 1030. Is g a multiple of 36?
False
Let t(y) = -y**3 - 5*y**2 - y - 5. Let x be t(-5). Suppose i = -2*d + 4, 2*i + 11*d - 9*d - 4 = x. Let z(o) = -o**2 + o + 120. Is 15 a factor of z(i)?
True
Suppose -2*a - 3*g = -6*a - 20, 0 = a + 4*g + 5. Does 25 divide (-366)/((14/(-3) - a)*-3)?
False
Suppose 4*g - p - 3 = 2*g, 4*g + 2*p = -14. Is 7 a factor of g + 23 + (2 - (1 - 1))?
False
Let r(t) = -t - 9. Let p be r(-5). Let w be (-6)/p*4/(-3). Let d(x) = 6*x**2 - 7*x - 2. Does 12 divide d(w)?
True
Suppose -2*d = -4*r + 26, 5*r - 3*d - 31 = -d. Suppose -r*h - 2*m = -1024, 0 = h + 4*h + m - 1022. Is 47 a factor of h?
False
Let m(y) = 7*y + 32. Let z be m(-22). Suppose -j + 4*j + 183 = 0. Let s = j - z. Is s a multiple of 46?
False
Let c be 8/(-60) + 104/(-120). Let d(x) = -766*x**3 - 3*x**2 - 2*x. Is d(c) a multiple of 50?
False
Let l = -50 + -24. Let a = 72 + l. Let v(h) = -5*h**3 + 3*h**2 + h. Is v(a) a multiple of 11?
False
Is (124300/(-226))/(0 + 2/(-36)) a multiple of 40?
False
Suppose 3038 = 22*q - 2132. Suppose 4*w + 4*u - 504 = 0, 3*u - 27 = w - 153. Let o = q - w. Does 38 divide o?
False
Let k(s) = 6*s**2 + 15*s - 19. Let h(i) = 11*i**2 + 30*i - 37. Let v(z) = -4*h(z) + 7*k(z). Let m be v(-8). Suppose -4*w - 54 = -m*w. Does 6 divide w?
True
Let v be -1 + 3 + -5 + 8. Suppose -v*r = -r - 12. Is 10040/60 + 2/r a multiple of 10?
False
Let w(k) = k**2 - 10*k + 28. Let b be w(7). Does 24 divide 150 + b - (-1 - 0)?
False
Suppose 85*k - 129*k + 6901 = -51311. Is 21 a factor of k?
True
Let z be 14/35 + 3/5 + 2. Suppose -z*c = 4*u - 517, 0 = 2*c + 3*c - 4*u - 883. Does 35 divide c?
True
Suppose -728763 = -57*f - 260907. Is f a multiple of 152?
True
Suppose 34*p = 38*p + 12. Is 226*p/(-24) + (-2)/8 a multiple of 7?
True
Suppose -5*d = -4*v + 2*v + 249, 4*v - 5*d - 483 = 0. Suppose -2035 = 2*o - 7*o. Suppose 2*w - o = -v. Is 29 a factor of w?
True
Suppose -3*g = 4*c - 5898, 5*c - 67*g = -68*g + 7356. Is c a multiple of 210?
True
Is 6 a factor of (546/(-84) + 6)/(-1 - (-10678)/10680)?
True
Let y(g) = 24*g**2 - 226*g - 78. Is 28 a factor of y(29)?
True
Is (-3)/5 - (-7906240)/775 a multiple of 205?
False
Let s = -127 + 111. Is 4/s*-71*(0 - -20) a multiple of 41?
False
Let a(s) = s**3 + 22*s**2 - 24*s + 20. Let y be a(-23). Suppose z - 113 = 3*c, -c - z = -4*z + y. Let v = 102 + c. Is v a multiple of 5?
True
Suppose o + 45690 = 4*f, 0 = f - 4*o - 4994 - 6406. Is f a multiple of 32?
True
Suppose 0*p = 4*p + 15*p - 71307. Is p a multiple of 5?
False
Let t = -9052 + 15632. Does 14 divide t?
True
Let q be 144/56*(-16576)/(-12). Suppose 24*r - 12*r - q = 0. Is 37 a factor of r?
True
Suppose -292 + 380 = 11*v. Is -7 + 13 - v - -604 a multiple of 22?
False
Suppose -15*m + 12*m = -4*p + 13763, 2*p - 4*m = 6884. Is p a multiple of 86?
True
Let c = -1192 + 2210. Suppose 0 = -7*q + 8*q - c. Is 13 a factor of q?
False
Is 139 a factor of 6543 + (-7 + -14 - (-9 + -2))?
True
Let w(u) = 11*u + 1. Suppose -33 = -39*v + 28*v. Is w(v) a multiple of 4?
False
Let c = 25 - 2. Let p(h) = h**2 - 11*h - 56. Is p(c) a multiple of 53?
False
Let q(y) = y**3 - 18*y**2 + 45*y - 4. Let z be q(15). Is (-11 + 6 - 1679)/z a multiple of 44?
False
Suppose 5*d + 535 = 10*d. Let b(r) = -2*r - 23. Let k be b(18). Let c = k + d. Is 43 a factor of c?
False
Let v(c) = 3*c**2 - 4*c - 7. Let n be v(-3). Let s(j) = -j**3 + 8*j**2 - 10*j + 17. Let g be s(7). Let w = g + n. Is 14 a factor of w?
True
Suppose 2*a - 4*a = -2*c + 10, 4*a + 5 = c. Suppose 0 = 4*u + 5*r - 9 + 11, -2*r - 6 = -u. Suppose c*o = -3*b + 306, -u*b - 148 = -5*o + 148. Does 4 divide o?
True
Let d(a) = a**3 - 13*a**2 + 18*a + 7. Suppose -18*i = -15*i - 39. Let w be d(i). Let g = -137 + w. Is g a multiple of 26?
True
Let d = 7699 - 4121. Let u = -2453 + d. Does 15 divide u?
True
Let n(r) = 5*r - 237. Let a be n(48). Let y(t) = 81*t**2 + 5*t - 22. Is 31 a factor of y(a)?
False
Suppose 7087153 = 121*i + 72*i. Is i a multiple of 169?
False
Let q = -840 + 1916. Does 4 divide q?
True
Let r = 2624 - 824. Suppose 17*q + r = 12*q. Is 10 a factor of ((-18)/10)/(8/q)?
False
Is 5945 + ((-2)/(-8) - 740/80) a multiple of 112?
True
Let v(j) = 13*j - 115. Let f = 38 - 22. Is 3 a factor of v(f)?
True
Let l(z) = 858*z**3 + 16*z**2 - 13*z - 1. Does 4 divide l(1)?
True
Let p(m) = -m**3 - 10*m**2 - 11*m + 6. Let n be p(-8). Let y be 1 + n/2*3. Let f = -28 - y. Is f a multiple of 5?
False
Suppose -5*w = -4*t + 11722, -7*w = -2*t - 11*w + 5848. Is t a multiple of 24?
True
Suppose 0 = -5*l + 168 + 202. Suppose -13*y + l = -15*y. Let f = -31 - y. Does 6 divide f?
True
Suppose 9*t + 723 = 282. Suppose 13*o + 0*o = 1287. Let c = o + t. Does 10 divide c?
True
Let b(d) = 4*d - 31. Let g be b(6). Let n(s) = -87*s - 37. Does 26 divide n(g)?
True
Let x = -1088 - -557. Let c = -424 - x. Is 21 a factor of c?
False
Suppose 4*b - 7 = c, -2*b - c = 2*b - 9. Suppose -b*d = 3*r - 70, -4*r - 8*d + 92 = -4*d. Let y(z) = z**3 - 23*z**2 - 24*z + 25. Is 5 a factor of y(r)?
True
Let h = 31564 - 5692. Is 33 a factor of h?
True
Let p(x) = -3*x**2 - 4 + 2*x**2 - 2*x + 0*x**2 + 5*x. Let q be p(2). Is ((-2055)/(-30))/(q/(-4)) a multiple of 21?
False
Let v = -143 - -2327. Is 56 a factor of v?
True
Let p be -144 - 0/(4 + -3). Let v = -213 - -67. Let n = p - v. Is n even?
True
Suppose -70 = 2*t - 56, -4*z - 3*t = -172583. Does 13 divide z?
False
Let n be (-12)/(-30) - 46893/(-55). Let d = n + 59. Does 12 divide d?
True
Suppose 17*d - 3*d = 42. Suppose x - 100 = -d*x. Suppose x + 227 = 3*t. Is 14 a factor of t?
True
Let f(s) = -s**3 + 5*s**2 + 6*s + 1. Let x be f(6). Let p(o) = -o**2 + 7*o + 7. Let m(r) = -r**2 + 1. Let j(i) = x*p(i) - 5*m(i). Is 17 a factor of j(-3)?
True
Suppose -2*r = 2*d - 2056 - 830, 0 = -5*d + 3*r + 7215. Let t = d + -460. Is t a multiple of 78?
False
Let n(b) = 66*b**2 + 7*b + 15. Let v be n(11). Let o be 4/18 - v/63. Let j = 3 - o. Is 14 a factor of j?
False
Let i be (-1)/((27/24)/(-9)). Suppose i*v - 2*v = 12. Suppose g - 26 = -2*u, v*g + 4*u = 5*g - 38. Is g a multiple of 3?
True
Does 3 divide 93854/50 + 1186/(-14825)?
False
Let w = -20409 - -68529. Does 30 divide w?
True
Suppose 107*i + 281*i = 8422704. Is i a multiple of 19?
False
Let m = -1753 + 2949. Does 2 divide m?
True
Let w(j) = -649*j - 11. Let v be w(-2). Suppose 17*g - v = 4*g. Does 29 divide g?
False
Let h(j) = -53*j**3 + 54*j**3 + 2 + 10 + 11*j - 12*j**2 + 2. Let d be h(11). Suppose -d = 5*m - b - 76, 2*b = 6. Is 8 a factor of m?
False
Let i(p) = 2*p**3 + 3*p**2 + 8*p - 18. Let x be i(4). Suppose 5*b = -2*r + 482, 2*b + 15*r - x = 17*r. Is 44 a factor of b?
False
Let v = 42 + -37. Suppose 5 = -2*n + c, -v*c + 21 = -2*n - 4. Suppose 3*o - 3 - 159 = n. Does 9 divide o?
True
Suppose 1880 + 3337 = 2*t - 10695. Is t a multiple of 51?
True
Suppose -3*i = 0, -3*m + 9*i - 6*i + 12 = 0. Suppose j - 4*n = 368 - 116, 5*j + 3*n = 1352. Suppose 88 = -m*s + j. Does 9 divide s?
True
Suppose 8*u = 4234 + 1206. Let y = u - 592. Is 22 a factor of y?
True
Let s(o) = -o**2 - 10*o + 8. Let x be s(-4). Let d = x + -32. Suppose -7*u + 979 - 13 = d. Does 23 divide u?
True
Suppose -t + 2*x + 12 = 0, 3*x = t - 1 - 9. Suppose 4*c - t = -0*c. Suppose 2*b - 21 = -h + 6*h, 5*b + c*h - 36 = 0. Is 5 a factor of b?
False
Suppose -5*i = w - 58743, -391 = -4*w - 399. Is i a multiple of 31?
True
Let o(m) = -m**3 - 6*m**2 - 5*m + 5. Let q be o(-5). Suppose -d = 2, -4*b - q*d + 17 = -b. Let l(y) = 5*y - 16. Does 11 divide l(b)?
False
Let y(j) = j**2 - 7*j - 75. Suppose -12 = a + 5*s - 19, 4*a - 74 = 3*s. Is y(a) a multiple of 35?
False
Suppose -41 = -2*c - 197. Is (65/(-78))/(1/c) a multiple of 13?
True
Let f(p) = -p. Let v be f(0). Suppose 161 + 112 = 21*u + 84. Suppose u*a - 90 - 1233 = v. Does 21 divide a?
True
Let c(b) = 7*b + 58. Let g be (-5)/((-20)/24) + 6. Is c(g) a multiple of 4?
False
Let l(i) be the first derivative of 2*i**3/3 - 9*i + 20. Let w be l(-5). Suppose 87 = 8*r - w. Is r a multiple of 4?
True
Does 55 divide -1398*(2 + (-495)/22) + (1 - 5)?
True
Let v(y) be the
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is smaller: h or y?
h
Suppose 5*u - u - 83 = 3*p, 3*u - 3*p = 63. Let s = u - 15. Let m(q) = q**3 - 6*q**2 + 2*q + 8. Let t be m(s). Is -5 >= t?
True
Let d be -5 + 3 + 2 - -2. Suppose y = d*g + 25, 4*y + 3*g - 22 = 2*y. Let u be (y*2/4)/((-4)/(-8)). Is u < 95/6?
False
Let g(q) = 45*q**3 + q**2 + 3*q + 2. Let k be g(-1). Let m = -60 - k. Let u be 12/(-14)*m/(-10). Which is smaller: -1 or u?
u
Suppose -5*s + 0*t - 44 = t, -2*t - 34 = 4*s. Let m be 3 + s/(18/(-4)). Which is smaller: m or -8?
-8
Let u = -1 - 0. Let s = 10 + -18. Let n be -1 - (-12)/s*u. Is n at least as big as 0?
True
Let h = -2/40827 - 1551208/4450143. Which is smaller: h or -1?
-1
Suppose 30 = -2*t - 36. Let o(j) = -4*j**2 + 42*j - 124. Suppose -2*g - 21 = -9*g. Let x be o(g). Which is smaller: x or t?
x
Let i = -13376 + 13375. Which is bigger: 0.76 or i?
0.76
Let q = 18.128 - 0.228. Let n = 18.1 - q. Which is smaller: n or 2?
n
Let d = -117463698 - -605995211449/5159. Let v = d - 3/469. Which is bigger: -1 or v?
-1
Let h be 11 + -20 - (-3)/3. Let r be (-3)/(-6)*h + (-6996)/(-1750). Is r smaller than -1?
False
Let t(c) = -84*c**3 - 2*c**2 + 9*c + 31. Let o be t(5). Is o < -10475?
False
Let c = 125 + -57. Let b = -36 + 96. Let m = c - b. Is 2/7 at least m?
False
Let d = 18/157 + -37085/324833. Is d greater than or equal to -1?
True
Let m = 1141742/11 - 103792. Let c(l) = l**3 - 6*l**2 + 2*l - 9. Let s be c(6). Which is bigger: m or s?
s
Let g be (0 - -1)/((-4)/(-60)). Suppose -g*b = 41 + 34. Which is smaller: b or -27/5?
-27/5
Let m(n) = -114*n**3 - 12*n**2 + 20*n - 3. Let o be m(2). Are o and -923 nonequal?
False
Suppose -5*z + 15 = u, 0*u = 4*u + 4*z - 12. Suppose -4*o = -2*l - 53 - 23, u = 2*o + 2*l - 26. Let q be (-2 - -4 - 3)/(o/15). Is 0 >= q?
True
Let q be 5 + -2 - (-364)/(-122). Let w be 37*(-4)/20 + 7/1. Which is smaller: w or q?
w
Let o = 2880 + -2865. Let s(b) = -4*b - 1. Let y be s(-7). Suppose 0 = -5*k - y + 97. Are o and k nonequal?
True
Let m = 380 + -366. Suppose -19*d = -m*d - 40. Let y be (-87)/(-12) - (-6)/8. Is d bigger than y?
False
Let a(n) = -770*n - 5389. Let c be a(-7). Suppose -9 + 21 = 4*w. Let h be -2 - w/((-153)/138). Which is smaller: h or c?
h
Let c = -0.22203 - -0.06203. Is c less than -14.5?
False
Suppose 0 = 5*d - 105 + 45. Suppose -d = 2*x + 4*k + 20, -x - 19 = -k. Let u be (-4)/x + (-2007)/(-81). Is u less than 26?
True
Let v(h) = 2*h**3 - 11*h**2 + 2*h + 88. Let n be v(-7). Which is greater: -1152 or n?
n
Suppose -6 = -15*n - 6. Suppose n = -3*m - 4*a - 118, -5*m - a - 218 = -5*a. Which is smaller: m or -44?
-44
Let h be 21 + (-131409)/3447 - -17. Are 0 and h equal?
False
Let c = 3 - 4. Suppose -3*a - 514 = 2*o, 0 = 4*o + 5*a - 240 + 1272. Let h = o + 256. Is c equal to h?
False
Suppose -5*v - 126 + 7 = 2*i, -2*i - 4*v = 118. Let k be ((-2602)/(-24))/(i/(-4)). Let c = 68/9 - k. Is c smaller than 1?
True
Suppose 12 = -18*p + 12. Let k be ((-104)/(-7) - p) + 35/245. Let r(n) = -n**2 + 10*n - 9. Let d be r(7). Is d >= k?
False
Let g = -2.27 + 2.242. Let y = 2.972 - g. Which is greater: y or -3?
y
Suppose -16 = 4*r - 8. Let h be (-6)/12*12/3. Let w = h - r. Is -0.8 at most as big as w?
True
Suppose 2510*r - 2506*r + 1040 = -2*j, 1103 = -2*j + 5*r. Which is greater: j or -541?
j
Let i = 94 - 86. Suppose 3*q - i = -2*a, 4*a - 16 = -6*q + 3*q. Let x = -1/10990 - 21703/3044230. Which is smaller: q or x?
x
Let w = 4590.4 + -4714. Which is smaller: 0.3 or w?
w
Let v = -19004 + 18808. Which is bigger: -0.1 or v?
-0.1
Let i be (-10804)/660 - (-102)/(-170). Are i and -18 nonequal?
True
Let a = -4480.004 + 2.004. Are a and -1 unequal?
True
Let q = 375 + -379.46. Let b = q - -137.46. Is b >= -4?
True
Suppose -159*x + 1034 = -65*x. Let y(w) = 5*w - 4. Let n be y(3). Let j be n + (0 - 0)/1. Is j at most as big as x?
True
Suppose -97*l + 817 = -54*l. Suppose 3*t + 3*h = 7*t - 16, t + 3*h - 4 = 0. Suppose 4*y - 2*x - 76 = 2*x, -t*x - 19 = -y. Is y bigger than l?
False
Let r = -22 + 24. Suppose -3*n = r*n - 175. Suppose 0 = 3*w - 43 - n. Is w at most as big as 26?
True
Suppose 19*w = 16*w + 45. Suppose 0 = -3*s - w, 2*s = -6*t + t. Suppose t*n = -2*b - 20, 3 = -4*n - 3*b - 41. Is n >= -16?
True
Suppose 0 + 18 = 3*p. Let q be -75*6/(-27) - 4/p. Suppose 39*r - 37*r + q = 0. Is r at most as big as -0.4?
True
Let g = 26538 + -27168. Which is bigger: -633 or g?
g
Let y = -45 + 81. Suppose -21*v = -30*v - y. Is v at most as big as 8?
True
Suppose -3*a + 4*k - 6000 = 0, 113*k = -2*a + 114*k - 4000. Is -2001 smaller than a?
True
Let o = -5709.14 + 5632. Let k = -77 - o. Suppose -x + 4*x = 0. Is x <= k?
True
Let u = -13276505044/1926009 - -1191921/173. Let x = u - -1/3711. Which is greater: -5 or x?
x
Let i be ((-2)/(-6))/((-29)/(-16965)). Suppose -2*h - i = 3*h. Are -37 and h non-equal?
True
Let v = 2464 - 2451. Is 273/19 at most v?
False
Let s(c) = -c**3 + c**2 + 7*c - 11. Let o be s(2). Let q(z) = z**3 - 6*z**2 + 6*z - 5. Let w be q(5). Let m be (-256)/(-65) - (w + 4). Are m and o equal?
False
Let a(o) = 23*o**2 - 298*o - 4. Let v be a(15). Which is smaller: v or 4904/7?
4904/7
Suppose -3*a + 5*z - 2 = 10*z, 0 = -a - z + 2. Let k be a + 1491/(-133) - (-3 - 0). Which is bigger: 1 or k?
1
Let k(u) be the first derivative of u**4/4 + 10*u**3/3 + 11*u - 8. Let m be k(-10). Let c = 8 - m. Which is smaller: -7 or c?
-7
Let m = 3 + -3.1. Let v = 0.2623 + 528.2377. Let h = -528 + v. Which is smaller: h or m?
m
Let l = -0.059 - 33.941. Let i = -20 + 11. Let c = i - l. Is 3 less than c?
True
Suppose -2*p + z - 189 = 0, -55*p + 5*z - 108 = -54*p. Is -109 < p?
True
Let u = -0.24 + -9.63. Let o = -9.67 - u. Is o bigger than 115?
False
Let u be 920/736 - (-460)/(-8)*5/(-2). Is 1318/9 less than u?
False
Suppose 8*w + 36644 + 10603 = 4231. Is w at least -5377?
True
Suppose 928 = -5*x + 4*u - 337, -3*u = 5*x + 1300. Let w be (-6)/(-11) - (14/55)/(816/827220). Do x and w have the same value?
False
Suppose 5*c + 2*m + 25 - 129 = 0, -3*c = 3*m - 66. Suppose 2*v + 0*a - 2*a = 50, 0 = -5*v + 2*a + 110. Is v > c?
False
Let y(h) = -h**2 - 11*h - 4. Let m be y(-11). Let d be (-6)/12 - (-2)/m. Is -2/75 less than d?
False
Let w be (-2)/(-4*1 - 18/(-6)). Let i(g) = -3*g**2 + 28*g - 51. Let q be i(w). Which is greater: -41/7 or q?
-41/7
Let o = 5485 + -5275. Which is bigger: o or 188?
o
Let l(z) = -z**3 + 4*z**2 + z - 9. Let w be l(3). Suppose 0 = -x - s + 8, -7 - w = -2*x - 4*s. Let y = -120 + 131. Are y and x non-equal?
False
Let o(a) = 558*a - 8735. Let l be o(-24). Is l < -22127?
False
Let j be 22/77 + 3190/7. Suppose 242 = m - 3*a + a, -j = -2*m - 3*a. Let d be 135/m + (-2)/4. Which is smaller: d or 1?
d
Let k = -540 - -592. Suppose 150 = -k*v + 47*v. Do v and -1.2 have the same value?
False
Let k(a) = -2*a**3 + a**2 + 16*a + 24. Let i be k(-2). Let m be (-96)/i + 28/4. Which is smaller: m or -3?
-3
Let b be (-1 + -26 + -1)/(-852 + 848). Is -33 > b?
False
Let x = 154.8 - 11.8. Let u = 1.32 + -1.42. Is x != u?
True
Let n(b) be the second derivative of -11*b**5/4 + b**3/6 + 2*b - 18. Let a be n(-2). Is 438 smaller than a?
False
Let o be 17/51*(-3 - 0) - 3096. Is o at most as big as -3099?
False
Let k be 0*21/(-294)*(1 + -2). Which is greater: k or 102/245?
102/245
Suppose 4*g - 375*s = -373*s + 136, -g + 2*s + 34 = 0. Which is smaller: 71 or g?
g
Let g = 35 + -20. Let n = -55.6 - -71.1. Let u = n - g. Which is smaller: u or -0.07?
-0.07
Let m = -9 + -17. Let h = -23 - m. Suppose i + 4 = h*i. Do -3 and i have the same value?
False
Let x = -139674309/2111 + 66165. Does x = 1?
False
Let k = -1.775 - -0.775. Which is smaller: k or 2/75?
k
Let j(b) = 2*b**2 - 173*b - 588. Let u be j(83). Is u at most -15216/13?
False
Suppose 23*a - 24*a + 1 = 0. Let c be 2*(-8)/(a + 0). Let v = -14 - c. Which is bigger: v or 4?
4
Let p = 12543/17 + -738. Let w = -0.2 + 0.3. Which is smaller: p or w?
p
Suppose 202*r = -237*r - 15*r. Which is bigger: r or 5/412?
5/412
Suppose -305 = 3*x - u, 2*x - 5*u + 414 = -2*x. Let a be (-36)/90 - (-30)/(-3)*-10. Let k = x + a. Is -2 less than k?
True
Let b = 0.5034 - -0.1166. Are b and -23 equal?
False
Let w = -26.4 - -6.2. Let l = w - -20.4. Which is smaller: -1/27 or l?
-1/27
Let k(d) = d**3 - 2*d**2 + 208*d + 2285. Let q be k(-11). Which is smaller: -1575 or q?
q
S
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4, 3 = 4*a + 3*m for a.
0
Solve -68*z - 6 = -66*z - 2*i, z + 5*i + 9 = 0 for z.
-4
Solve -d + u + 6 = 0, 4*u - 6*u = -5*d + 24 for d.
4
Solve -t = 4*n + 6 - 7, 3*n - 15 = 4*t for t.
-3
Solve 5*y + 5*p = 5, -147*p + 146*p + 5 = -3*y for y.
-1
Solve -5*p + 2*d - 16 = 4*d, 3*d = -4*p - 17 for p.
-2
Solve -x + 5 = 5*a, -a + 9 - 32 = 5*x for x.
-5
Solve -3*u + 10 = 1, 0 = -3*f + 2*u - 12 for f.
-2
Solve 4 = -l, -71 = x - l - 79 for x.
4
Solve c - 5 = -4*x + 2, -5*c - 2*x - 19 = 0 for c.
-5
Solve 5*l + 4 = 4*i - 3, 3*l = 5*i - 12 for i.
3
Solve -s = -4, -4*h + 4*s = h + 31 for h.
-3
Solve 0 = -i - 3*k + 23 - 9, -2*i - 4 = -2*k for i.
2
Solve 2*t - 1 = t + v, -25 = 5*v for t.
-4
Solve -2*m - 5 = -3*q, 0 = -5*m + 6*m + 5*q - 30 for m.
5
Solve 3*k + 2 = -5*u + 1, 0 = -4*u - 2*k for u.
1
Solve 7*v + 3 = 4*k + 6*v, -2*k = 2*v - 14 for k.
2
Solve -5*a + 13 = -2, -7 = -h - 3*a for h.
-2
Solve -2*y = 4*u, -15*u + 3*y = -19*u for u.
0
Solve w = -5*x + 1, 17 = 5*x - 10*w + 7*w for x.
1
Solve 3*d - 5 - 4 = 4*j, -2*j = 2*d - 6 for j.
0
Solve 4*a + 11 - 13 = -6*v, 3*v - 11 = -4*a for a.
5
Solve 0 = -3*x - 4*f + 19, 2*f = 4*f - 2 for x.
5
Solve -2 = -f + r, -14*f + r = -18*f - 12 for f.
-2
Solve -5*o - u - 12 = 0, 4*u - 6 = o - 12 for o.
-2
Solve -3*o - 18 = 3*s - 6, -5*s = o + 8 for s.
-1
Solve 5*k + 12 = -r - 8, 3*k = -3*r for k.
-5
Solve 0 = 4*n + 2*b - 26, 0*n + 18 = 3*n + b for n.
5
Solve -4*h + 13 = g, 0*h - 3*h + 5 = -4*g for g.
1
Solve -2*d + 5*l - 11 = -0*d, -5*l + 17 = -4*d for d.
-3
Solve -2*s + 2*g = 14, -5*s + 10*s - 4*g = -31 for s.
-3
Solve -6 = 5*h - 2*u + 24, 5*u = 5*h + 30 for h.
-6
Solve 7 = 3*o - 2*k, 3*o - 2*k + k - 2 = 0 for o.
-1
Solve -4*u - 2*w + 13 = 41, -u - w = 9 for u.
-5
Solve -4*o = 5*i + 2 - 12, -4*o - 2*i = -16 for o.
5
Solve 2 = w, -5*b + 4 = 5*w - 1 for b.
-1
Solve -21*v = -25*v - 4*u - 4, -4*u + 21 = -v for v.
-5
Solve 2*f - c = 0, f = -3*f - c for f.
0
Solve 0 = -6*m + m - 4*r + 30, -r = -3*m + 1 for m.
2
Solve 3*g - 4*b = g - 6, 5*b = 3*g + 8 for g.
-1
Solve -8 + 4 = t + 4*y, 5*t - 5*y - 30 = 0 for t.
4
Solve o + 35 = 5*j + 11, -o = 3*j - 8 for j.
4
Solve -18*r + 2*s = -16*r, -4*r + s = 9 for r.
-3
Solve 0 = 3*y, -d + 21*y = 25*y + 3 for d.
-3
Solve 15 = 3*y + 3*w, y - 4*y = 5*w - 25 for y.
0
Solve -1 = -5*i - j, 30*j - 27*j - 3 = -i for i.
0
Solve -2*a = -p - 8, 3*a - 4*p - 7 = -0*a for a.
5
Solve -3*b - 9 = c - 0*c, -2*b + 5*c = 6 for b.
-3
Solve -3*b - 20 = 3*f - b, -3*b = -3*f for f.
-4
Solve 4*t - 10 + 0 = 3*r, -t - 9 = 5*r for t.
1
Solve -5*h + d + 12 = 0, 3*h = 2*d + 89 - 79 for h.
2
Solve 3*q + 5*v = 18, -q + 0*q = 4*v - 13 for q.
1
Solve -3*j - 34 = 5*t, -32*j + 26 = -34*j - 4*t for j.
-3
Solve 0 = j + 4*n - 12, 2*j = -2*j - n - 12 for j.
-4
Solve 0 = 12*o - 13*o - 5*g + 7, -3*o + g = -5 for o.
2
Solve -3*i + i + l + 4 = 0, 0 = 4*l + 8 for i.
1
Solve 7*q = 2*d + 9*q + 2, 5*q = 3*d + 19 for d.
-3
Solve 6*g - 4*r = g + 3, r + 6 = -4*g for g.
-1
Solve 3*i - 2 = -b, 0 = -3*b - 4*i + 8*i + 6 for b.
2
Solve -2*d = 2*n + 6, 5*d = -4*n - 20 + 5 for n.
0
Solve 9*x + 14 = 8*x + 4*j, 2*x = 3*j - 13 for x.
-2
Solve 14*w = 12*w + 2*c + 16, 2*w = -c + 13 for w.
7
Solve 4*f = -5*g - 11, -2*f = -3*f + 4*g + 13 for f.
1
Solve 9 = -2*f + 2*v + 1, 3*f + 3*v = 0 for f.
-2
Solve -2*q - 4 = 3*y + 2, 4*q + 12 = 4*y for y.
0
Solve -5 = 2*w - 3*j, -w - 6*j + 25 = -2*j for w.
5
Solve -4*r - 2*f = -2, 2*f = 6*r - 8*r + 6 for r.
-2
Solve 0 = t - 4*d + 12, 2*d - 28 = -125*t + 120*t for t.
4
Solve 0 = 4*j - 3*n, 2*n = 471*j - 474*j - 17 for j.
-3
Solve 3*x + 2*p = 8*x - 19, -12 = -3*x + p for x.
5
Solve -23 = -3*i - 5*d - 1, -2 = 2*i - 5*d for i.
4
Solve 0 = -2*j + 2, -a - j = 3*a + 15 for a.
-4
Solve 3*d + 1 = 5*b, b + d - 6 = -1 for b.
2
Solve -v + 5*j = v - 30, 0 = 2*v + 2*j - 2 for v.
5
Solve -4*a + 2*g = 3*g - 16, -3*a = 2*g - 12 for a.
4
Solve -5*a = 0, -2*a + 1 + 7 = 2*m for m.
4
Solve 10*i - 4*r = 12*i - 10, 0 = i + 4*r - 15 for i.
-5
Solve 0 = 3*w - 9, -u + 10*w - 5*w = 19 for u.
-4
Solve 2*a - 23 = -5*b, -5*a + 5 + 12 = -b for a.
4
Solve 5*b + 1 = -3*r, -2 = -5*b + r + 5 for b.
1
Solve -7*b - 5 = -5*y - 12*b, -5*y = -4*b - 5 for y.
1
Solve 0 = 5*r - 0*i - i + 16, -r - 7 = -4*i for r.
-3
Solve -4 = 2*l, 5*l + 63 = -5*a + 58 for a.
1
Solve -m = -p - 2, -18*p + 14*p + 3*m - 11 = 0 for p.
-5
Solve -3*x = -2*o + 3, 0 = -5*o + 3*x - 308 + 329 for o.
6
Solve -3*s + 4*z = 8, -23*z - 21 = -4*s - 24*z for s.
4
Solve 5*j + 5 = 5*c, c - 11*j = -13*j - 14 for c.
-4
Solve 3*x + 2*l = 4 - 13, 3*x - 2*l - 3 = 0 for x.
-1
Solve 2*h + x = 1, -17 - 5 = -4*h + 2*x for h.
3
Solve -5*m - 3*x = 13, 2*m + 5*x - 8 = 2 for m.
-5
Solve -77 = -2*f - 73, 3*f = 3*m + 15 for m.
-3
Solve -2*n + 8 = -5*l, l = -4*n + 3*l for n.
-1
Solve 0 = 5*k + 25, 3*x + k - 5*k = 17 for x.
-1
Solve -25 = 5*p - 5*j, -p - 3*j - 32 = -47 for p.
0
Solve -3*x - 25 = -4*b, -3*b - 5 = -5*b - x for b.
4
Solve -5*v - 2*l = 4, v - 5*l - 13 + 3 = 0 for v.
0
Solve 3*d - 4*c + 15 = 16, 5*c = -2*d - 30 for d.
-5
Solve -w - 5*n = -14, 4*w - 8 = -n + 5*n for w.
4
Solve -9 - 12 = -2*s - 3*t, -4*t + 20 = 0 for s.
3
Solve 2*i - 2 = -j, -6*i = -5*j - 4*i - 2 for j.
0
Solve 5*z - 5 = 0, 45 = -5*b + 12*z - 7*z for b.
-8
Solve r - 2*n - 7 = 0, -5*n - 38 = -r - 16 for r.
-3
Solve -n + 4*h - 3 = -20, -2*n + h = -13 for n.
5
Solve -5*h + 164 = -n + 192, -3*h + 3*n = 24 for h.
-5
Solve -17 = 5*k + 3*f, 0 = 4*f - 5*f + 1 for k.
-4
Solve -o - 2*o + 3*w - 18 = 0, -15 = 5*o - 2*w for o.
-1
Solve 4*t = -5*g + 19, 19*t - 20*t - 5 = -2*g for g.
3
Solve 3*m + 5 = -4*w - 30, 10 = -2*m for w.
-5
Solve 0 = -3*h - 4*o - 25, 2*h - 3*h = -2*o - 5 for h.
-3
Solve 3*x + 2*h = -6, 3*x - 3 = 29*h - 34*h for x.
-4
Solve 0 = 2*a - 8, x = -4*a + 2 + 18 for x.
4
Solve -5*b - 9*q = -14*q - 5, 27 = 3*b + 5*q for b.
4
Solve -l + 21 = -5*l + 5*h, 0 = -4*h + 4 for l.
-4
Solve -g + k = -0*g + 1, 20 = -4*g - 4*k for g.
-3
Solve 0 = 153*g - 150*g - a - 15, 0 = 4*g + 3*a - 20 for g.
5
Solve 5*j - j + 21 = 3*d, -2*d + 6 = 0 for j.
-3
Solve a - 7*z + 6 = -2*z, -2*a - z = -10 for a.
4
Solve 2*m = 2*b, 71*b - 76*b = -4*m + 1 for m.
-1
Solve 7*r - 2*t = 8*r - 8, 5*t = -4*r + 23 for r.
2
Solve 5*u - 8*v + 4 = -9*v, 4 = 4*v for u.
-1
Solve 5 = 5*z - 4*a, -2*z - 3*a - 21 = -0*a for z.
-3
Solve -5*w = -4*t, w = 3*t - 0*t for t.
0
Solve 2*p + 2*w - 6*w = 10, 0 = -p - 4*w - 13 for p.
-1
Solve 3*l = -5*x - 32, 5*x + 4*l = -39 + 3 for x.
-4
Solve -2*p = 5*n, 0 = -5*n - 3*p + 16 - 21 for n.
2
Solve -2*f + 11 + 5 = 3*x, 5*f + 7*x - 39 = 0 for f.
5
Solve g + 6 = 2*h + 2, 4*h - 4*g - 8 = 0 for h.
2
Solve a + 2*s - 6 = 0, 3*s - 16 = -4*a - s for a.
2
Solve 7 = 2*n - v, -2*n = -0*v + 4*v + 18 for n.
1
Solve 2*u = -2*b + 10, u - 14 = -u - 3*b for u.
1
Solve 302 - 290 = 4*v - 2*a, -5*v - 3*a = -4 for v.
2
Solve -7*b + 6*b = 5*l - 30, -l + b = 0 for l.
5
Solve -4*j + 9*u - 7*u = 26, -2*j = u + 7 for j.
-5
Solve 0 = v - 3*r + 10, 4*v + 4*r + 4 = 7*r for v.
2
Solve l = 3*a, 39*a - 5*l = 43*a for a.
0
Solve 0 = -6*z + 2*z + 8, r - 4 = -z for r.
2
Solve -16*d = -4*x - 14*d + 18, 5*x - 19 = -d for x.
4
Solve 10*k = 5*k - 5*b + 5, 0 = -5*k - b - 11 for k.
-3
Solve -1 = 3*j - l - 0, j + 2*l = -12 for j.
-2
Solve -x + 8 + 3 = -3*f, f - 5*x = 1 for f.
-4
Solve 0 = -4*j - o + 4, -4*j - 14 = -2*o - 30 for j.
2
Solve -5*m + 2 = -3*l, 7 = 5*l + 2 for m.
1
Solve -2*p = -5*k - 15, -p + 5 = -3*k - 5 for p.
-5
Solve -7*x - 3*q = -3*x - 9, q - 3 = 5*x for x.
0
Solve 0 = -4*g + 5*c + 4, 0 = -2*g - 36*c + 35*c - 12 for g.
-4
Solve g + 4 = 5*a + 6, 0 = -2*g + a - 5 for g.
-3
Solve -3*l + 0*c = 2*c - 4, 4*c - 30 = 5*l for l.
-2
Solve -5*j - 16 = -2*l, -8*l = 4*j - 7*l + 18 for j.
-4
Solve 2*x + 3*t = -21, x - 6*x = 3*t + 30 for x.
-3
Solve 4*k = 16, 2*k + 3 = 4*h - 1 for h.
3
Solve 4*l = -l - 3*s - 32, -s = 4*l + 20 for l.
-4
Solve m = 2*v, 9 = -3*m - 3*v + 27 for m.
4
Solve -4*o + 2381*g - 2377*g = -12, 5*o = -g + 21 for o.
4
Solve -2*m = 8, -2*l + l - 4*m - 17 = 0 for l.
-1
Solve -31*m - 4*g = -34*m + 20, -4*g - 20 = -m for m.
0
Solve 0 = -g + 18*y - 16*y - 8, 0 = -2*y + 4 for g.
-4
Solve 4*m + a + 17 = 0, 0 = 2*m - 16*a + 12*a - 14 for m.
-3
Solve 5*v + 21 = 3*y - 7, 0 = 5*y - 3*v - 20 for y.
1
Solve 0 = -3*l, 3*o - o - 3*l - 4 = 0 for o.
2
Solve 0 = -u + t - 1, 25 = 2*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
/(k*k/(k/k**(3/7))))/k)))/(k*k**(-5/2)))**(-2/93) assuming k is positive.
k**(-19967/1953)
Simplify (o*o**0*o)**(-1)*(((o**(2/11)/o)/o)/o)/(o/o**2*o)*o**(-2/9)/((o*o**(-2))/o)*(o*o/o**(-6))/(o/o**(-4)) assuming o is positive.
o**(-4/99)
Simplify (u*u*(u/u**(-1/4))/u*u)**(2/33)/(u**(1/4)*u*u**5)*(u**0/u*(u/u**(-1/10))/u)/(u*u**1/u*u)**(-2/15) assuming u is positive.
u**(-1471/220)
Simplify (((w*(w/(w**(3/13)/w))/w*w)/(w**(-25)*w))/(w**(-14)/w)**31)**(-5/3) assuming w is positive.
w**(-10655/13)
Simplify s*s**(-3/11)/s*s/(s/(s**(2/9)/s))*(s/s**0)**(19/4)*(s**(-8)*s*s*s**5)/(((s/((s*s**(-2))/s))/s*s)/s)**(-2/17) assuming s is positive.
s**(19757/6732)
Simplify (j**(-1/18))**0/(j*j**9/j*j*j**(-9/10)) assuming j is positive.
j**(-91/10)
Simplify ((d**6)**(-1)*(d*d*d*(d**(-1/17)*d)/d)/d**0)**(3/10) assuming d is positive.
d**(-78/85)
Simplify ((y*y**(-1/4)*y*y)**(-29))**(-2/41)*(((y*(y**(-1/3)/y)/y)/y)/(y/y**7))/(y**(-1))**(-5/2) assuming y is positive.
y**(622/123)
Simplify ((u/(u/u**(2/3)))**(-1/17)/(u/(u*(u**(-2/11)*u)/u))**(10/3))**(-44) assuming u is positive.
u**(1448/51)
Simplify f**(13/2)/(f/f**(5/8))*(f*f/f**(-8/7))/(f*f/(f/(f/(f**(-25)*f*f)))*f*f) assuming f is positive.
f**(-993/56)
Simplify (m**(-2/5)*m*m*m*(m*m**0/m*m)/m)/((m**2/m)/(m**(-1/13)/m))*((m/(m**(2/17)/m))/(m/(m**(1/5)*m)))/(m**0)**6 assuming m is positive.
m**(2879/1105)
Simplify (k**(-3)*k/(k**(-2/47)*k))/(k**(1/45)*k)**(2/51) assuming k is positive.
k**(-323329/107865)
Simplify r**0/r**(3/5)*(r/r**0*r)/(r**(-3/7)*r)*(r**(-1/2))**15*r**(-2/31)*r**4 assuming r is positive.
r**(-5937/2170)
Simplify ((((a**(-4)*a)/a*a)/a*a**(1/6))/(a**(6/11)/a**(3/2)))/((a*a*a*a**(2/3))**(-6/17)*(a/(a*a/a**(1/12)*a))/a**5) assuming a is positive.
a**(11965/2244)
Simplify (((z**(-1/2))**(4/13)*(z*z/(z*z**(1/6)))/z**3)**(-10/11))**(-1/2) assuming z is positive.
z**(-905/858)
Simplify ((f/((f**(-1/3)/f)/f))**(4/5))**(-26)*((f**(-2))**(-4/23))**(-46) assuming f is positive.
f**(-256/3)
Simplify (u*u/(u*u**29/u*u)*u*u**(6/25)/u*u)/(u/(u**(-7/5)/u)*u)**(-2/49) assuming u is positive.
u**(-32561/1225)
Simplify ((b**(-1/5)*b*b/b**(1/6)*b)/(b**(-2/7)*b**(-3/5)))/(((b/b**(-2/3))/b)**(-6/7))**(3/8) assuming b is positive.
b**(56/15)
Simplify ((((j**(-1/40)*j)/j)/(j/j**(-2/19)))/(j*j**11)**40)**(2/43) assuming j is positive.
j**(-365659/16340)
Simplify (m**(-4/7)/m*m*(m/(m*m**(-3)/m*m))/m*m)**(-3/17)/((m/m**6)/m**(-7)*m**(-7)/(m**(1/5)*m)) assuming m is positive.
m**(202/35)
Simplify (l*l/(l*l*l**1/l*l)*l**(-2/7))/((l*l/(l/l**(-4)))/((l**(-1)*l)/l))*(l/((l*l**5)/l)*l**(3/8))/(l/(l*l*l**(2/3))*l*l)**(-6) assuming l is positive.
l**(-51/56)
Simplify (c*c*c**(2/17))/(((c/(c*c**(2/5))*c)/c)/c)*((c**(-6)*c)/c)/c**(-3/4)*(c**(-6/5)/(c*c*c/(c**(-6)*c)*c))**(-9/10) assuming c is positive.
c**(12661/1700)
Simplify (c**(1/2))**(-28)*c/c**(-2/7)*c**6*(((c*c**2)/c)**(-11/4))**(1/17) assuming c is positive.
c**(-1675/238)
Simplify (s*s**(-11/3)*s*s**40*s)/(s*s/(s/(s*s**(-5/2)))*s/(s*s/((s*s/(s*s/((s*(s/s**(1/30))/s)/s))*s)/s)*s)) assuming s is positive.
s**(628/15)
Simplify ((l**(1/10)/(l*l*l*l**(-1/7)))/((l/((l*l/l**1*l)/l))/l*l*l)**(-2/9))/((l*l**(-2/15)/l*l*l)/l**9)**(-3/16) assuming l is positive.
l**(-19517/5040)
Simplify ((t*((t**30*t)/t)/t*t)**(4/5)*((t*t**(-22)*t)/t*t)**(-4/5))**(-18) assuming t is positive.
t**(-3672/5)
Simplify (i*i**1*i**5/i)/(i**2*(i*i**(-5)*i*i)/i*i*i)*(i**(-2/5))**(-35)/((i/i**(-5))/i**(-2/5)) assuming i is positive.
i**(63/5)
Simplify (j/(j/j**(-2/59)*j))**(-1/11)/(j**(-21))**(17/3) assuming j is positive.
j**(77292/649)
Simplify (((g/(g*g*g**(-1)/g))/g)**(-2/53)/((g**(2/11)*g)/g**(-3)))/(g**(11/2)/g*g*g/g**(-1/12))**24 assuming g is positive.
g**(-1784/11)
Simplify (c*c*c**(-1/6)*c*(c**(-1/7)*c)/c)**(-35)/((c**(-1)/c)**(-9))**(-8) assuming c is positive.
c**(299/6)
Simplify (x*x**(-6/5)*x**0)**(-3/4)*(x*x**(-1/11)*x*x**(-4)/x*x)/(x**(-2/3)/x*x/x**(-3)) assuming x is positive.
x**(-2821/660)
Simplify ((k**(-1/3)*(k*k**(-2))/k)/(k**3*k**(-8)))/((k**1*k*k)**(-24))**(4/19) assuming k is positive.
k**(1016/57)
Simplify (z**9/(z/z**(-4/3)))**(-3/10)/(z**(2/5)/z**(1/12))**(17/4) assuming z is positive.
z**(-803/240)
Simplify y/((y**(6/5)*y*y)/y)*y*y**(-3/2)*y**(-2/11)*y/((y/(y/(y**1*y)))/y)*y/y**(-1/6)*y**(-1/6)*y**2/(y**(-2)*y) assuming y is positive.
y**(233/110)
Simplify ((u/(u*u**(2/15)*u))/(u*u*u**(-4/7)*u*u))**14*(u*u**(2/3))**(3/32)*u**(1/5)*u*u*(u/u**(1/9))/u*u assuming u is positive.
u**(-17459/288)
Simplify ((((z/(z**(-2/5)*z))/z)/z)**(-25))**(-25)/((z*z**(3/4))/(z**6/z*z)*(z/(z/z**(-1/4)))**(3/5)) assuming z is positive.
z**(-4978/5)
Simplify (((k**(-4/7)*k)/k*k*k/((k/(k**(1/4)*k))/k))/((k*k**(-2/19))/k*(k*k**(2/31)*k)/k*k))**(-39) assuming k is positive.
k**(-462657/16492)
Simplify (j**(2/5)/j*j**(1/6)*((j/((j/j**1)/j))/j)**(-2/127))/((j/(j*j**(-1)*j))**(-6/19))**(4/17) assuming j is positive.
j**(-1711/3810)
Simplify ((j/(j**(-9/8)*j))/(j**(-2/37)/j)*j*j/(j/(j*j/(j**(2/19)/j)))*j*(j**(2/39)*j*j)/j*j)**45 assuming j is positive.
j**(30021855/73112)
Simplify ((f*(f/(f*f**0))/f)/(f/(f/f**(-3/8))))**(33/2)*(f/f**(-2))**(-47)/(f**0*f/(f**(-1/5)*f*f*f)) assuming f is positive.
f**(-10641/80)
Simplify ((((l**11/l)**14)**(-8))**42)**(-37) assuming l is positive.
l**1740480
Simplify (a**(4/3)/(a/(a/(a/((a/a**(-1/6))/a*a)))))/((a*a**1)/a)**(-2/7)*(a**(1/4)/(a*a**(-6)))**50 assuming a is positive.
a**(1850/7)
Simplify ((i**(-2)*i)**9)**(2/9)*(i**0)**31/(i**(2/5)*i*i**(2/13)) assuming i is positive.
i**(-231/65)
Simplify ((t*t**7/t)**(-40)*(t**26/t)/((t/t**(-2/15))/t))**(-8/9) assuming t is positive.
t**(30616/135)
Simplify (((f**(-1/47)/f)**(2/21))**2)**42 assuming f is positive.
f**(-384/47)
Simplify (h**(-1)/h**6)/(h**(-3/2)*h*h*h/(h*h**(1/6)))*((h**1)**49)**(-13/7) assuming h is positive.
h**(-295/3)
Simplify d**(-11)*d/(d/d**(1/29))*(d*d**(-2/59)/d*d)/(d*d/(d**(-2/39)*d)) assuming d is positive.
d**(-737402/66729)
Simplify (g**(-2/3)*g**6)**31/((g/(g/(g*g/g**0)))**(5/7)/(g**1)**(-2/21)) assuming g is positive.
g**(3440/21)
Simplify ((((w**(-1/21)/w*w)/w)/(w*w**(-4)))/((w/w**(-2))/(w**(-3/8)/w)))**(-1/61) assuming w is positive.
w**(407/10248)
Simplify (g*g*g/(g*g**(2/13)/g)*g)/g**(-2/9)*((g/((g**0/g)/g*g))/g)**(-1/67)*(((g*g/(g/g**4)*g)/g*g)/(g*g/g**(-2/5)))**(-13) assuming g is positive.
g**(-1675451/39195)
Simplify ((a*a**(-1/3))**(-12))**(39/5)/((a**(8/3)/a)/a*a*a/(a**7/a*a))**(-39) assuming a is positive.
a**(-1157/5)
Simplify q**(2/13)*q**(-3)/q*q**5/(q*q/(q**(2/13)/q))*(((q*q**(-2/3))/q)/q)/q*((q/q**(-4/7))/q)/q*q*q**5*q*q**1 assuming q is positive.
q**(877/273)
Simplify (((q**3*q*q*q**(-28))**(-25))**33)**(-14/11) assuming q is positive.
q**(-24150)
Simplify (w**(-6)*w/(w**(-2/9)*w*w)*w**(4/3)/w*w*(w**(-2/13)/w*w)/w)/(((w*w*w/w**(-4))/(w/(w*w/w**(-5/6))))/(w**(-1/2))**(12/7)) assuming w is positive.
w**(-26681/1638)
Simplify ((b/(b**(1/10)*b))/b*b*b/(b*b**(-6))*(b*b/b**(3/5)*b)/(b*b/(b**(2/19)/b)*b*b))/((b*b*b*(b**(-1)*b)/b*b)**(18/11))**(-31) assuming b is positive.
b**(325177/2090)
Simplify ((k**12*k**15)/(k**11*k/(k**(-7/4)*k)))**(-4/11) assuming k is positive.
k**(-57/11)
Simplify ((p*p**(-14))/p**(-14)*((p*p**(-6))/p)/(p*p**(-24)*p*p))**(2/69) assuming p is positive.
p**(32/69)
Simplify ((p**(1/4)*p)**(-1/8))**48/(p**(1/4)*p/(p*p**(-1))*p/((p*(p/p**(1/5))/p)/p*p)*(p*p**(-3))/p) assuming p is positive.
p**(-119/20)
Simplify u**(-1/2)*u*((u*u**(-2/15)/u*u)/u)/u*u*u*u**1/(u*(u/u**(3/8))/u)*((u**(1/4)*u)**(-1/8))**(18/13) assuming u is positive.
u**(4759/3120)
Simplify (d**(2/53)*d/d**(4/29))/((d*d**(-3/5)*d)/d*d*d)**(-2) assuming d is positive.
d**(43803/7685)
Simplify (((a*a/(a/a**18*a))/(a*a**(3/2)))/((a/(a**(-1)*a))/a*a**7))**(-36) assuming a is positive.
a**(-306)
Simplify g**11/g**21*g**(-8)/((g/g**(-2/109))/g) assuming g is positive.
g**(-1964/109)
Simplify ((l/(l**18*l*l))/(l*(l**(1/13)/l)/l*l))/(l*l**(-29))**(-3/13) assuming l is positive.
l**(-332/13)
Simplify (w*w*w**(-6/5)*w/(w**(-23)/w)*w*(w**(1/46))**(9/8))**(-13/2) assuming w is positive.
w**(-641641/3680)
Simplify ((v*v**(2/7)*v*v*v*v*(v/v**(-2)*v*v)/v)/(v**1)**(-16))/((v/((v/v**(-1/2))/v))**(5/2)/((((v*v**(1/2))/v)/v)/(v**(-1)*v))) assuming v is positive.
v**(659/28)
Simplify (a**(-14)/(a*a*a**(-4/5)/a)*a**(
|
{
"pile_set_name": "DM Mathematics"
}
|
-0*u + 20. Solve 11 = -3*c + g, 0 = -2*c + u*g + 18 - 47 for c.
-2
Let u(w) = -57*w + 3098. Let d be u(53). Solve -2*l + b + 1 = 0, 5*l = 4*b - d + 75 for l.
2
Let m = 3943 + -3934. Solve -2*z + 11*a + 8 = 13*a, 0 = -2*z - a + m for z.
5
Suppose -5*u + 84 = 5*o + 49, 0 = o - 4*u + 8. Solve -2*y = 4*f - y - 2, -o*y = 4*f + 4 for f.
1
Let y = 589 - 374. Let n = 227 - y. Solve n = 2*o - 3*b, -3*b - 2*b - 1 = 3*o for o.
3
Let r = 1146 + -619. Let k = r + -519. Solve 4*m + 4*t = k, 0 = -2*m - m + 2*t + 11 for m.
3
Suppose 30*a = 42*a. Suppose 2*w = s + 13, 0 = 6*s - 2*s + 20. Solve -i - 3*z - 5 = a, 0*i - w*z - 2 = -i for i.
-2
Let h = 23 + -4. Suppose 0 = -5*s - 2*r, 2*s + s + 5*r = 0. Suppose -5*b = -q - 14, 2*q + b - 16 = -s. Solve 0 = -3*n - 5*i + 7, 3*n + q - h = i for n.
4
Suppose -2*n - 351 = 13. Let c = -118 - n. Suppose -a - 62 + c = 0. Solve a = s + s, -j - 2*s - 3 = 0 for j.
-5
Suppose -78*l + 31*l + 32*l = 0. Solve 7*b + 19 = -2*p, 3*b - 36*p + 40*p + 5 = l for b.
-3
Suppose 0 = t - 72 + 47. Suppose 48*h - 50*h = 5*p - 47, t = 3*p + 2*h. Solve 4*o = c + 14, -c + 3*o - p = -1 for c.
2
Let t be (1/4*0)/(14 + -16). Solve w - 3*z + 16 = t, -5*w + 5*z + 17 = 57 for w.
-4
Suppose -14466 = r - 14469. Solve o + 3*b = -4*o + 7, r*b + 23 = o for o.
5
Let g(u) = -113*u**2 + 2*u + 2. Let a be g(-1). Let z = a - -111. Let j be (-204)/(-54) - z/9. Solve -6 = -n + 2*q, -5*q = -2*n + 20 - j for n.
-2
Suppose 5*f + 5*x + 0 = -15, 0 = -4*f + 5*x + 6. Let o be (f/(-3))/((-12)/(-324)). Solve 4*b = -2*k + 20, 3*k + 6 = -6*b + o*b for b.
4
Let z(x) = 4*x**2 + 78*x - 739. Let r be z(7). Suppose -u = -2*g - 19, 3*g + 23 = -2*u + 89. Solve 2*t = -t + 3*p + u, 2*t - 23 = r*p for t.
4
Let f be (-480)/(-48) - 10/2. Solve 3 = -f*o + 4*x, -3*o - x = -3*x + 1 for o.
1
Let b be ((-28)/126*9)/(1/(-7)). Solve m + b = -3*y, 49*y - 1 = 4*m + 50*y for m.
1
Let r be (24/(-30) + 411/(-5))*(1 + -2). Solve -62 = -3*p - r, 4*f - 51 = 5*p for f.
4
Suppose 6*i = 616 + 1436. Let k = 344 - i. Solve -2*u - 3*j = -u + 8, k*j + 12 = -2*u for u.
-5
Let i(m) = -3833*m - 7658. Let h be i(-2). Solve 0 = -3*w + 6, 2*y + 14 - h = 4*w for y.
1
Let l be (4 - (-354)/(-21))*(-21 + -4 - -18). Solve -4*f = -3*m + 7, -l = -4*f - 3*m - 91 for f.
-1
Let y(d) be the second derivative of d**4/12 - 7*d**3/6 + 3*d**2/2 + 3*d. Let j = -12 - -19. Let z be y(j). Solve -2*t + 3*g - 4 = 4*g, 3*g + 12 = z*t for t.
0
Suppose 4*w + 173 = -17*w + 635. Let g = -3 - -5. Suppose g*c = -9*c + w. Solve 3*p + c*p - 5 = 2*o, 7 = 4*p - o for p.
3
Let d be (-14)/(-4) - 9/(-18). Let j be 25*(d - 8)/(-4). Suppose x = -4*x + j. Solve 5 = -x*s - 10, -3 = -c + s for c.
0
Let w be -10*(-9)/(-360)*-4*2. Solve -12 = -t - w*n, 5*t + 2*n - 1 = 19 for t.
2
Suppose s = 0, 4*s + 190 = 2*x + 3*x. Suppose x = 6*p + 14. Let i(d) = -d**2 - 12*d - 4. Let h be i(-11). Solve j - 5*q + 35 = -p*j, h = 4*j + 3*q for j.
-2
Let w(l) = -7*l + 182. Let z be w(-28). Let o be (z/315)/((-6)/(-10)). Solve 0 = 5*g - 5*q - 25, o*q = -3*q for g.
5
Suppose 7*k - 1007 = -160. Let u = 134 - k. Suppose -12*h + 11*h = n + 2, 0 = -4*n - 5*h - u. Solve -10 = 2*w - f + n, 3*f = 9 for w.
-5
Let a(c) = c**3 - 10*c**2 - 2*c + 22. Let s be a(10). Solve -s*k + 18 = 5*t - 1, -2*t = -2*k - 16 for k.
-3
Suppose z - 23 = -2*l, -4*l + 7*z - 29 = -48. Solve -2*t + 8 = 0, -5*t - l + 29 = -b for b.
1
Suppose 10*n + 5*n = 0. Suppose -m + 4*t - 16 = n, m - 4 + 0 = -t. Solve 2*b - 5*k + k - 12 = m, -4*b + 2*k = 6 for b.
-4
Suppose 2 = -5*g + 7*g. Suppose 214*q - 344*q + 390 = 0. Solve y + q*b = 1, y + g = -2*b + 3 for y.
4
Let r(d) = 2*d**2 + d - 215. Let m be r(-10). Let s be (2/4 - 0)*-54. Let p = m - s. Solve -3*l = 2*l - 5*w, -p*l - 3*w - 5 = 0 for l.
-1
Suppose -h = 3*z + 4, 4*z - 100 + 102 = -2*h. Solve -5*y + 4*d - 41 = 0, -12 = -y - h*d + 3 for y.
-5
Suppose 264 + 240 = -7*q. Let r = 149 + q. Let t be 275/r + (-9)/(-21). Solve -6*i + 3*l - 2 = -i, t*l = -i - 5 for i.
-1
Let t be (32/112 + 0)*63. Solve -21*q + t*q = -12, q + 4 = -4*f for f.
-2
Let p be (-1 - 95) + 300/50. Let d = p + 92. Solve 10 = 4*s - k, 2*s - d*k + 4 = 3*k for s.
3
Let o = 38 - 433. Let f = o + 398. Solve -4*s + 0*v + 2*v = 2, -f*s - 4*v - 7 = 0 for s.
-1
Suppose 35 = -u + 13*s - 19*s, -2*u + 4*s = -58. Solve 76*v - 71*v + 5*l = -20, -2*v - u = -3*l for v.
-5
Suppose 4*p = 3*f + 52, 5*f + 21 = p + 42. Solve 26 = t - z + p, 3*t = 2*z + 18 for t.
4
Suppose 0 = 7*z + 2*z - 90. Suppose -z*w = -4*w. Solve w*r + 9 = 5*g - 4*r, 3*g + 5*r = -2 for g.
1
Let v(z) = -6*z - z + 3*z + 1 - z**2 + 2. Let j be v(-4). Solve 0 = -5*h + w - 29, -5*h + j*w + 2*w = 45 for h.
-5
Suppose -291*n + 440 = 58*n - 1654. Solve -5*x = 5*b + 5, -4*x - 3*b = -n*b - 17 for x.
2
Let s(u) = -6*u**3 + 12*u**2 + u. Let d(g) = -7*g**3 + 14*g**2 + 1. Let m(y) = -5*d(y) + 6*s(y). Let b be m(3). Solve 0 = 3*q + 2*t, -5*q - b*t = t for q.
0
Let d = -96 + 99. Let g(i) = -i**3 + 4*i**2 + 6*i + 6. Let p be g(-3). Let z = p - 45. Solve -d*u + 2 - 1 = 5*v, -2*v = 4*u - z for u.
2
Suppose -9*z + 5*z + 76 = 0. Let d be (-7 - (0 + -6)) + 759. Suppose -d*s + 756*s = -6. Solve 4*i + z = h, -2*i + 5*h + s = 8 for i.
-5
Let u(c) = -c**3 - 28*c**2 - 93*c - 445. Let h be u(-25). Solve 7 = -3*w + d, -4*d + 18 = -h*w + 4 for w.
-2
Suppose 0*l - 4*h - 44 = l, 3*l - h = -132. Let w be (-10)/(-55) - 960/l. Let a = -20 + w. Solve -a*t - t - 15 = -3*q, 5*t + 9 = -3*q for q.
2
Let n(z) = -z**2 - 39*z + 109. Let q be n(-41). Suppose -3*c - q = -36. Solve -l = c*j + 18, -1 - 14 = 3*j for l.
-3
Suppose -7*n = -15*n - 48. Let w be (2/n)/((-38)/912). Suppose 6 = -5*f + w*f. Solve f*v + 3 = 2*j + v, -3*j - 3*v - 9 = 0 for j.
0
Suppose 778*p + 84 = 820*p. Solve 3*m = -5*q - 7, 4*m - 37 + 51 = -p*q for m.
-4
Let p(o) = o**2 - 709*o - 6458. Let s be p(-9). Let f = -11 - -14. Solve 4*t = -4*h - 36, -s*h + f*t = 1 + 7 for h.
-5
Let m be (-1716)/(-1404) - 21/(-27). Solve 4*r + 27*q = 32*q + m, -q = -r + 1 for r.
3
Suppose -41*p + 25*p = -832. Suppose p*s + 78 = 55*s. Solve -5*r + 6 = 3*j + 20, -5*r + 3*j = s for r.
-4
Let w(u) = 8*u + 67. Let d be w(-8). Suppose -3*i + 2*j + 40 = 0, 0 = 2*i + d*i + j - 71. Solve -3*x = -x - 2*y - i, y + 13 = 3*x for x.
3
Let y(m) = -49*m - 173. Let o(s) = -47*s - 170. Let c(l) = 4*o(l) - 3*y(l). Let d be c(-4). Solve 0 = -4*n + n + 4*p + d, -4*p + 12 = 0 for n.
5
Suppose -2*p - 20*g + 8 = -18*g, 2*g - 12 = -3*p. Solve -3*i + 3*m = -2 - p, 2*i + 2 = 4*m for i.
5
Let h be (12/(-48) - 153/(-4)) + 3. Suppose h*t - 14 = 34*t. Solve -2*d = m - 7, -5*d + 11 = 4*m - t for d.
5
Let f = 17595 + -17593. Solve 5*y - 56*n = -59*n, -2*y + f*n = 0 for y.
0
Suppose -3*y = 57 + 33. Let l(t) = -t**3 + 8*t**2 + t - 3. Let s be l(8). Let v be 17/s - (-12)/y. Solve 4*g - 2*g - 20 = -v*k, -5*k = -5*g for k.
4
Suppose 0 = -4145*h + 4160*h - 75. Let a = 9 + -6. Solve a*t - 49 + 12 = -5*c, -5*c + h = -5*t for c.
5
Let t = -595 - -597. Suppose 3*z + 2*y + 7 = 8*z, -2 = 2*z - t*y. Solve 4*g + g - 30 = 3*r, -z*r = g + 12 for g.
3
Suppose 32*d = 36*d - 20. Let z(n) = -n**3 - 8*n**2 - 10*n - 2. Suppose -6 = t + 1. Let v be z(t). Solve -5*o + r = 9, 2*o = 3*o + d*r - v for o.
-1
Suppose -2394 = -227*p + 94*p. Solve -3*g - 27 = -3*n - 18, 0 = 2*n + 4*g + p for n.
-1
Let c(p) = -p**3 + 40*p**2 + 127*p + 90. Let j be c(43). Solve 4*u + 0*r = -j*r - 8, -14 = 5*u + 3*r for u.
-4
Suppose -713*r + 2421 = -1144. Let y = 24 + -10. Let m be -2*(2 - y/4). Solve -3*j + m*k = -k + 9, -r*j - 15 = -k for j.
-3
Let g(t) = 3*t**2 + 11*t - 17. Let x be g(-5). Let b(z) = 10*z - 28. Let y be b(x). Let a be ((-5)/(-2))/(3/6). Solve y*d - 2*j = 3*d - 9, -d - 26 = -a*j for d.
-1
Suppose -46*d = 392 - 484. Solve -5*f - 5 = -6*f + b, -16 = -4*f + d*b for f.
3
Let r = -772 - -778. Let k be r/8 + ((-378)/24)/(-7). Solve k = 3*j + 3*v, -j + 3*v - 3 = -0*j for j.
0
Suppose 0 = 3*w - 5*d + 2, -5*w - 22 = 4*d - 3*d. Let g be 10 + (3 - (w + 13)). Solve -m = 2*z + 5, 2*z + g*m + 4 = -2*z for z.
-4
Let y = 10 - 6. Suppose 0 = -y*w - b + 19 - 4, 9 = 2*w - b. Suppose 31 + 53 = w*f. Solve -9 = 3*q - 0*q, 4*r - 3*q = f for r.
3
Let c(g) = -23*g**2 - 24*g**2 - 27*g**2 - 35*g - 230 + 73*g**2. Let b be c(-26). Solve -4*x + 3*x + 12 = 3*a, a - b = 2*x for x.
0
Let i(l) = -l**3 - 5*l**2 - l - 5. Let k be i(-5
|
{
"pile_set_name": "DM Mathematics"
}
|
5*w = -4*o - 6, 3*w + o = -o - g for w.
-2
Suppose 5*w - 3*c - 4 = 0, 18*w + 3*c + 2 = 22*w. Solve -h + 4*h = 4*r + 3, -4*r + w*h - 6 = 0 for r.
-3
Let v(k) = 5*k**3 + 2*k**2 - k - 1. Let t be v(1). Solve o = -2*o + t*i + 11, 4*o - 2*i - 10 = 0 for o.
2
Suppose -q + 5*b + 2 = 0, 0 = -3*q - 0*q - 3*b + 6. Suppose 5*y + 3*l = 4, -q = -5*y + 3*l + 14. Let a = 0 - -2. Solve -k = 3*t + 7, 2*t + a + 8 = y*k for t.
-3
Let d be (-4)/18 + 155/9. Let z = -17 + d. Let c = 2 - z. Solve 4*p = -4*y + 4, -3*y = p - c*p + 1 for p.
1
Suppose -5*f = 4*f - 18. Suppose -8 = f*y - 8. Solve q + 18 = -0*q + 4*o, y = 4*q + 2*o - 18 for q.
2
Let h be 4 - 0 - (1 + -2). Suppose -p + 8 = q, -4*q + h*p = 3*p - 56. Solve 2*t = -4*u + q, -4*t + 2*t + 5*u - 15 = 0 for t.
0
Let l be ((-12)/1)/((-57)/19). Solve -s = 2*s - p - 2, 4*s = l*p for s.
1
Let q be (1 - -7)/(2/3). Let t(b) = -b**2 - 25*b + 87. Let i be t(3). Solve -2*g - 10 = -5*k + 17, -i*k + q = 3*g for k.
5
Let i = -3 - -2. Let p be 4 + (i - 2 - -2). Let c = -86 - -89. Solve -2*z - p = -c*b - 4, 2*z - 4*b - 2 = 0 for z.
-1
Let b = -256 - -264. Solve -4*d = -b*p + 3*p + 20, 3*d + 2*p - 8 = 0 for d.
0
Let b = -2 - 6. Let n = 13 + b. Suppose -20 = -3*y - 0*y - n*p, y = 2*p + 3. Solve 0 = 6*r - r + 2*o - 25, 0 = -y*r + 3*o for r.
3
Let t(u) = 5*u**2. Let y be t(-1). Suppose y*r - 29 + 120 = -4*x, -r + 5*x = 24. Let c = -11 - r. Solve -2*m - 2*a + c = 0, m + 4*a - 4 + 0 = 0 for m.
4
Suppose w - 8*v + 7*v = 19, -5*w + 99 = -v. Solve 5*t = -w, 2*u + 4*t + 26 = -3*u for u.
-2
Let v be 1/(((-9)/(-15))/3). Suppose 0 = 4*u + v*b + 71, 5*u + 4*b - 3*b = -94. Let h = 24 + u. Solve 5*j - 15 = 0, -k - 12 = -0*j - h*j for k.
3
Suppose 0*b = -2*b - 10, 2*m + 19 = -5*b. Solve m*f = -2*y + 4, 28 = -2*y - y + 4*f for y.
-4
Let t = -921 - -923. Solve 0 = f - 3*l, t*f - f - 5*l - 2 = 0 for f.
-3
Suppose 13*a = 18*a - 15. Let q(f) = -2*f + 11. Let c be q(a). Solve 0 = -4*n - 3*g - 6, -2*g - c = n + 2*n for n.
-3
Let m = -40 - -45. Let w = m - 2. Solve l - w*n - 5 = 5*l, -5*l = n - 2 for l.
1
Let a be (-12)/(-9)*42/28. Solve -9 = -3*f - a*b, -b - 6 = -2*f - 0*b for f.
3
Let f = -1987 - -1997. Solve 0*c + c + 3*s = -2, 5*c + 5*s + f = 0 for c.
-2
Let v = -3 + 5. Suppose 0*k + 8 = v*k. Solve 0 = 5*s - 4*z + 16, -20 = -z - k*z for s.
0
Let j(y) = y**2 + 1. Let v be j(1). Let c(z) = 0*z**v + 3*z**2 + 5*z - 10 - 2*z**2. Let t be c(-7). Solve -4*o + 2*r = -2, 0 = 6*r - t*r + 10 for o.
-2
Suppose -18 = 5*h + 12. Let q(m) = m**3 + 5*m**2 - 4*m + 11. Let r be q(h). Let j be -1 - (-10 - (-2)/r). Solve 0 = u + 5*l + 15, -l - 1 - j = 2*u for u.
-5
Suppose 16 = -2*c + d + 1, 0 = -4*c + d - 27. Let l(r) = -5*r - 26. Let k be l(c). Solve 17 = 3*g - 2*j, -k*j - 11 = 3*g - 4 for g.
3
Let z = -32 + 39. Let n be 45/2 - z/(-14). Solve -4*a + 13 = -r, -3*a + 3*r - 2 + n = 0 for a.
2
Suppose 0 = -5*l + 8*t - 3*t + 45, 4*t + 31 = 3*l. Suppose -r = -l, -m + 0*m - r = -7. Solve 0*x + 2*j = m*x + 8, -4*j = 4*x - 24 for x.
1
Suppose -202*r = -221*r + 76. Solve -g = -2*n + 1, -g - r*n + 3 = -2*g for g.
1
Let h be 1 + (-1)/((-2)/2). Suppose -n + 0*i - 18 = -i, 4*n + 48 = -2*i. Let w = 18 + n. Solve 0 = -0*k - h*k - 2*t + 6, 20 = w*t for k.
-2
Suppose -4*u = -u. Suppose 4*h - 3 - 9 = u. Solve -2*n + i = -7, 0 = -2*i + h + 3 for n.
5
Suppose 104 = 4*h - 4*p, 20*p - 5 = 15*p. Solve -4*s - h = s + 3*z, 3*s - 3 = 3*z for s.
-3
Let t(f) = f**3 - 6*f**2 + f - 1. Let r be t(7). Let p = -52 + r. Solve -p*o = h - 7, 3*h - 10 = o + 1 for h.
4
Suppose -5*n + 3*n - 2*i = -14, 2*i = n - 19. Solve 6*q = 3*q + 2*k - n, -q - k = 2 for q.
-3
Suppose -4*z - 19 + 35 = 0. Solve -3*k - 3*j + z = -2, 4*j = 4*k for k.
1
Suppose 0 = -0*w - 4*w - 52. Suppose -4*z + n = -61, 5*n + 1 + 79 = 5*z. Let a = w + z. Solve 2*x = b + 4, 5*x = -5*b - a - 3 for x.
1
Let g be (0 - 36/16)*-4. Suppose -5*m - g + 19 = 0. Solve -3*w - 2*x + m = -6, -3*w + x - 4 = 0 for w.
0
Let t be ((-4)/(-3))/(-2) + 3450/45. Let k = -75 + t. Solve -2*b - 2 = -3*j, -5*b = -3*j + 6 - k for b.
-1
Let t(u) be the second derivative of -u**3/3 + 5*u**2 - 16*u. Let k be t(4). Solve -f - s = 0, -k*f + 1 = -3*s - 9 for f.
2
Let z = 1476 - 848. Let c be (-2)/13 + z/26. Let d be (2/2)/(8/c). Solve 3*f + 2*f + 3 = -d*u, -4*f = 5*u - 8 for u.
4
Let a be 9/6 - 2 - (-11)/2. Let o = 5 - 2. Suppose o*v - 15 = -2*v. Solve m = -0*m - v*z + 4, -2*m - 25 = -a*z for m.
-5
Let a(s) = 7*s**2 + 11*s + 6. Let w(g) = g**2 + 1. Let n(u) = -a(u) + 6*w(u). Let f be n(-11). Solve 26 = -f*z - z - 5*r, 4*r = 3*z - 17 for z.
-1
Suppose -42*o = -69 - 99. Solve 0 = o*j - 5*s, s = -2 + 6 for j.
5
Suppose -5*i = 4*x - 81, -4*x - i = -71 - 6. Solve -3*m + 11 = -4*a + 8*a, -a - 4*m = -x for a.
-1
Let g(t) = -t**2 - 9*t - 8. Let i be g(-6). Suppose 4*f + 4*d - 23 = 3*f, -i = -5*f + d. Let k = 5 - f. Solve -b = 3*p + 5, -k*p - 9 = 3*b + p for b.
-2
Suppose -37 - 12 = -7*u. Suppose i - u*i + 7*i = 0. Solve 5*c + 2 = 3*x - 0*x, 4*x - 5*c - 6 = i for x.
4
Suppose -3*w + 12 = -57. Let i be w - (1 + 3 + -1). Solve 4*a - 3*m + 16 = 0, 0 = 3*a + 2*a - 3*m + i for a.
-4
Let q be (-56)/(-10)*(-385)/(-22). Suppose 4*t = 2*f + q, 5*t + 36 = -2*f + 145. Suppose t = 4*v + 7. Solve -3*n + 2 = -4*j - 14, -4*j = -v*n + 20 for n.
4
Let x(k) = 20*k - 15. Let p be x(1). Solve 0 = -p*s - 3*u - 15, -5*u - 2 + 8 = -2*s for s.
-3
Let g(s) = s**3 - 3*s**2 - 2*s - 3. Let y be g(4). Solve -8 = -4*t - 5*v, -y*t + 3*v = -v - 10 for t.
2
Let f be (1 + 2 + -5)*-10. Suppose 5*o - f = -0. Suppose -q + 0*q = -8. Solve 0 = -5*b - o*c - 16, b + 2*c + q = 6*b for b.
0
Let m be (-436)/(-18) + (-4)/(-36)*-2. Suppose 0 = 5*f + 2*s - m, 12 = 2*f - 2*s + 4*s. Solve b = f*b - 5*t + 40, 4*b - 3*t + 35 = 0 for b.
-5
Let w be (-4)/(-8)*(-6 - -12). Solve -d + w = 0, 2*z + 6*d - 21 = d for z.
3
Let u(d) = -8*d - 172. Let n be u(0). Let c = -167 - n. Solve -3*x - 3*t - 21 = 0, -c*x - 19 = -3*x + 3*t for x.
-2
Suppose -1 - 8 = -3*r. Let m be (4/(-3))/(2/(-3)). Let p = m + -1. Solve -3*c - 7 = -i, r*i - 2*c - 6 = p for i.
1
Suppose -12*w + 11*w = -79. Let b = 80 - w. Solve y + x + b - 7 = 0, -3*y = -3*x + 12 for y.
1
Let h be 112/49 + (-4)/14. Suppose -4*a = 3*i + 55, -h*a = -a - 5*i - 15. Let u = 14 + a. Solve c - u*c + 3*j + 6 = 0, 5*c + 10 = -5*j for c.
0
Let g(h) = h**2 + 8*h + 2. Let a be g(-6). Let t = a + 7. Let p be 4/t*9/(-6). Solve -5*l + p*n + 8 = 0, -3*l - 2*n - 2 = -10 for l.
2
Let i = -10 - -12. Suppose 3*a + i*g - 4 = 0, -3 = -3*a - 4*g + g. Let d be -9*1/(-6)*a. Solve 24 = 3*h - d*n, -3*h + 2*n + 14 = n for h.
3
Let q = 6 + -2. Suppose -4*s + 4*t = 0, 2*t = -4*s - 12 + 36. Solve -2*o = 6, -3*p - s = -p + q*o for p.
4
Let p = 1433 - 1427. Solve a - 1 = g, 2*g + 3*a - 2 = p for g.
1
Let a(r) = 6*r + 9. Let h(x) = 18*x + 27. Let p(u) = -7*a(u) + 2*h(u). Let s be p(-2). Solve c - s*v - 4 = 1, -2*c + 4*v + 8 = 0 for c.
2
Let q be 0/(5 + -2 - 2). Suppose -4*x - 23 + 19 = 0. Let n be (x + 10)/(2/4). Solve q*j - 4*l = j + n, 4*j = -l - 12 for j.
-2
Let l = 1465 - 1454. Solve y + 4*w = -2*y - l, y - w = -6 for y.
-5
Suppose -4*s - 2*d = 20, -4*d + 5 - 18 = -s. Let u be 4/12*(12 - s). Solve -4*q - 2*i - 20 = 0, 2 = -3*q + u*i - 13 for q.
-5
Let w(p) = -21*p - 163. Let o be w(-8). Solve r - 5*a - 1 = -7, -o = 3*r - 2*a for r.
-1
Suppose -3*c - 7 + 19 = 0. Suppose -2*d - c*z = -37 + 13, -4*d = -2*z - 8. Solve l - 2*u + 3*u = 0, 0 = -d*l + 4*u + 16 for l.
2
Let u(v) = v + 31. Let q be u(-28). Solve 5*j - 25 = 5*w, -5*w = j + j - q for j.
4
Let m be 7 - 16/(-4) - 1. Let s be (12/m)/(9/60). Solve 0 = -4*f - l - 8, -4*f + 0*l = -l + s for f.
-2
Let c = 460 + -456. Solve d + 6 = c*t - 5, 2*t + 7 = 3*d for d.
5
Let s = 33 - 31. Suppose 0 = 5*o - 4*d - s + 20, 2*o + 8 = 2*d. Let b be 3/(1/(-2)*o). Solve -4*u + b*k = 35, k + 40 = -4*u + 5*k for u.
-5
Let o be 5 + (-5)/1 + 4. Solve -3*n - 3*i + 11 = -7*i, -o = -4*i for n.
5
Let p(k) = k**2 - 4*k + 4. Suppose -65*n = -70*n + 10. Let u be p(n). Solve -8 = 4*t + 5*c, -5*t - 2*c + 0*c - 10 = u for t.
-2
Let d be 7 + (-837)/117 - (-654)/26. Solve 2*c + 3*w = -6 + d, 4*c - 5 = 5*w for c.
5
Suppose -2*b - 6 = -4*b. Let r be (-5)/(3/(-9)*b). Solve -5*p = 2*u - r + 20, u + 4 = p for p.
-1
Suppose 4*d - 12 = -i, 5*d - 10 = -2*i + 5. Let s(z) = -z**2 - 8*z - 9. Let r = 50 - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
ber?
True
Suppose -5 = 5*q - 0*x - x, -2*q + 5 = x. Suppose q - 4 = -2*l. Let u = 12 + l. Is u a composite number?
True
Let w(r) = 12*r + 6. Let l be w(-6). Let d be -2*163*(-2)/4. Let h = d + l. Is h a composite number?
False
Let n(v) = 2*v**2 + 4*v + 3. Suppose o - 3*o - 4 = 0. Is n(o) a prime number?
True
Suppose 4*s - 5*z + 2*z = 13427, 5*z + 6703 = 2*s. Is s a prime number?
True
Let o(h) = -h**3 - 8*h**2 - 7*h + 5. Let g be o(-7). Let n be 10*(5/2)/g. Suppose -9 = -2*k + n. Is k prime?
True
Suppose 2*v = 8 + 416. Suppose -2*z = -v - 498. Is z prime?
False
Let r be (-22)/(-6) + (-6)/9. Suppose 0 = -2*a + 3 + r. Suppose -c + 5*c + 3*g - 50 = 0, -44 = -a*c + g. Is c a composite number?
True
Let s(x) = 126*x - 1. Is s(10) a composite number?
False
Let n be (3274/5)/(2/10). Let d be (-12)/(-66) - n/(-22). Suppose -5*u = -w + d, 5*w + 2*u - 745 = u. Is w composite?
False
Suppose 5*g + 0*j + 46 = -j, 0 = 2*j + 2. Let t(k) = -k**2 - 10*k - 5. Let u be t(-11). Let a = g - u. Is a prime?
True
Let v(x) be the third derivative of -1/12*x**4 + 3*x**2 + 1/30*x**5 + 0 - 5/6*x**3 + 0*x. Is v(6) a prime number?
False
Suppose -1 + 3 = p. Suppose 5*s + p*h + 1104 = 0, 822 = -4*s - h - 63. Is (-6)/(-4)*s/(-9) a prime number?
True
Let g(d) = 3*d + 1. Let r be g(-1). Let n be (-2 + r)*14/(-8). Suppose n*u - 4*u = 357. Is u composite?
True
Suppose -4*b = -3 - 17. Suppose -i = -b*i - c, 0 = 3*i + 2*c. Suppose i = -j + 15 + 16. Is j prime?
True
Let g = -43 - -740. Is g composite?
True
Suppose 12938 = 2*y + 5*p, 2*y - 3*p = 4*y - 12938. Is y prime?
True
Let t be -1*(-2 - (-3 + 6)). Suppose 0 = 4*y - t*y + 329. Is y prime?
False
Let z(t) = t**3 + 2*t**2 + t + 1481. Is z(0) a composite number?
False
Suppose 5*t = -23 - 17. Let l = 4 + t. Is l + 2 - -3 - -84 a prime number?
False
Let t = 82 - -79. Is t composite?
True
Let n(a) = a**3 + 14*a**2 + 14*a + 17. Let b be n(-13). Suppose 2*j + 261 = -q + b*q, 0 = -2*q + 5*j + 163. Is q prime?
True
Let a = -14 - -6. Let u(m) = 2*m**2 + 10*m + 5. Is u(a) a composite number?
False
Let p(m) = 5*m - 1. Let x(i) = 6*i - 2. Let q(n) = 5*p(n) - 4*x(n). Is q(8) a composite number?
False
Let a be 784/26 + (-2)/13. Let t = a + 261. Is t composite?
True
Suppose 0 = 4*m + m. Suppose m = 5*w - 5*a - 80, -3*w - 6*a + 4*a + 63 = 0. Is w composite?
False
Let f = -281 - -33. Let z = -85 - f. Is z composite?
False
Suppose 5*l - 1639 = 1296. Is l prime?
True
Let o = 7 + -7. Suppose 5*j = j - y + 435, j + 3*y - 106 = o. Is j prime?
True
Suppose a = 5*r + 5*a + 15, 9 = -3*r - 2*a. Is -2 + 4 - 17*r prime?
True
Suppose 7727 = 5*n - 4*y, -6 = 4*y + 6. Is n composite?
False
Let u be ((-3)/(-3))/(-1) + 24. Suppose n - 41 = -5*t, -t - 3*t - u = -n. Is n prime?
True
Let u(j) = -j**3 + 17*j**2 + 5*j - 2. Is u(17) prime?
True
Suppose -i = b - 0*b + 7, -5*b - 3*i = 29. Let z be (76/(-6))/(b/144). Suppose 0 = -3*w - 63 + z. Is w a prime number?
True
Let g be -2 + (3 - 1) + 0. Suppose -2*o - 4*r = r - 60, g = -5*o + 3*r + 212. Let j = 7 + o. Is j a composite number?
False
Let p(c) be the second derivative of -c**5/20 - 11*c**4/12 + 17*c**3/6 + 4*c**2 - 4*c. Let l be p(-13). Suppose 0*r - 5*r + l = 0. Is r prime?
False
Let m(k) be the first derivative of k**2/2 + k + 3. Let c be m(0). Is c/(-3) + (-308)/(-6) prime?
False
Let h = -7 - -15. Let z be h/12*6*1. Suppose -z*p - c = -0*c - 14, -4*p + 10 = 3*c. Is p a prime number?
False
Let i be (114/24)/((-2)/(-8)). Suppose i = 3*b + q, -3 = -3*b - 0*q + 3*q. Suppose -3*s - 4*y = -235, -b*y - 406 = -5*s - 26. Is s a composite number?
True
Let s(o) = 3*o**2 + 10*o + 10. Is s(-6) a prime number?
False
Suppose 0 = -q - 3 + 1. Is (-105)/q + 6/(-4) prime?
False
Suppose 0 = 2*o - 2*a - 2706, 46 - 5474 = -4*o - 4*a. Is o composite?
True
Let w(c) = c**2 + 887. Is w(0) prime?
True
Let h(l) = -l**2 + 4*l - 4. Let q(g) = -g**2 + 4*g - 5. Let r(b) = -4*h(b) + 3*q(b). Suppose 4*j = 2*y - 2, 2 = -4*y + 3*j + 2*j. Is r(y) prime?
False
Let u = -84 - -153. Is u composite?
True
Let n(o) be the third derivative of -5*o**4/12 + 3*o**3/2 + o**2. Suppose -12*t = t + 91. Is n(t) a composite number?
False
Is -2*(9837/(-126) - 3/7) prime?
True
Let x(z) = z**3 - 7*z**2 - 2*z + 9. Let o be x(7). Let l = -4 - o. Is -2*l*-1*29 a prime number?
False
Let h(y) = 6*y**2 + 4*y + 9. Suppose 5*t + 9 = 3*q - 7*q, 0 = 5*t - 15. Let k be h(q). Is ((-8)/12)/((-2)/k) a prime number?
True
Is 6 + (-31)/5 - (-3486)/5 prime?
False
Suppose -x = -2 - 0. Is 2*x/(-4)*-67 composite?
False
Let p be (-8)/6*(-6)/4. Let f be 130/(-18) + p/9. Let t(m) = -m**3 - 5*m**2 + 9*m + 2. Is t(f) composite?
False
Suppose 4*h - 7500 - 727 = -5*s, 0 = -5*h - s + 10268. Is h a composite number?
False
Let c = -1155 + 1642. Is c composite?
False
Let q(n) = -n**3 + 14*n**2 - 9*n - 13. Suppose 0*z - 22 = -2*z. Is q(z) a prime number?
True
Suppose 2*a = 186 + 772. Is a prime?
True
Let g = 142 + -53. Let h = g - -68. Is h a prime number?
True
Let f(m) = 36*m - 3. Let y(s) = 4*s - 5. Let w(c) = -7*c + 9. Let p(z) = 3*w(z) + 5*y(z). Let k be p(0). Is f(k) composite?
True
Let l = -135 - -228. Let y = -395 + 603. Let x = y - l. Is x composite?
True
Let d(x) = x**2 + 3*x + 2. Let n be d(-4). Suppose -3*v + 72 = -4*b, v - n*b = -2*b + 16. Let r = 9 + v. Is r prime?
True
Let h be -9 + 1 - (3 + -1). Let m = h + 14. Suppose -5*w + 245 = 4*i, 2*w + 2*i - m = 94. Is w a composite number?
True
Suppose 0*v - 4*v - d = -12813, 3*d - 3206 = -v. Is v prime?
True
Let y = -5 - -3. Let c be -6*(y - -1)/1. Suppose 0 = -c*d + d + 175. Is d a prime number?
False
Let s = 86 - 64. Is s a composite number?
True
Suppose 0 = -0*q + 5*q - 10. Suppose 3*k + 0*y - 5*y = -5, -y = -2*k - 15. Is q/10 - 328/k a prime number?
False
Let f = 73 - 15. Suppose -4*c - f = 2*d - 4*d, -4*c = 5*d - 89. Is d a composite number?
True
Suppose -45 - 1 = -2*q. Suppose 0 = -3*d - 2*d. Let h = d + q. Is h composite?
False
Let s = -26 + 32. Let v(h) = 37*h + 11. Is v(s) a prime number?
True
Let z(g) = g**3 + 21*g**2 + 13*g + 22. Is z(-9) composite?
False
Let u be (-42)/4 + (-6)/(-4). Let l = u + 136. Is l composite?
False
Suppose 0*g + 5*x = g - 1308, -5*x = 5*g - 6450. Is g a prime number?
False
Suppose 0 = 3*f + f + 20. Let s(c) = -11*c - 11*c + 10*c - 5. Is s(f) prime?
False
Suppose 3*q + 7 = 2*r, -4*q - 5*r + 37 - 8 = 0. Let h = 3 - q. Suppose -h*x = -6*x + 136. Is x a prime number?
False
Suppose -695 = -5*o - 0*o. Is o prime?
True
Let u(f) = 3 - f**2 + 2 - 1 - 3. Let z(j) = -4*j**2 - 4*j - 5. Let p(b) = -6*u(b) - z(b). Is p(-3) a prime number?
False
Suppose 8 = -0*d - 4*d. Is (35 - d)*(4 - 3) composite?
False
Suppose c - k = 216 + 411, 0 = -4*k - 16. Is c prime?
False
Let a(j) = j**2 + 4. Let i(t) = -t**2 + t - 5. Let h(p) = 3*a(p) + 2*i(p). Is h(-9) composite?
True
Is 257 + (-2 + 4)*1 composite?
True
Let c = -535 - -847. Suppose c = 2*f - 478. Is f a composite number?
True
Let n = 14 - 9. Suppose 3*j - 116 = -4*f + n*j, 0 = -j + 4. Is f a composite number?
False
Let h(t) = -3 + 4 + 0 + 121*t. Is h(4) composite?
True
Let r be 1 + 39/9*3. Let q(j) = j**3 - 11*j**2 - 20*j + 15. Is q(r) a composite number?
True
Is 10250/130 - 2/(-13) a prime number?
True
Let h be (-7)/(((-5)/6)/(-5)). Is (-2)/(-12) - 1295/h composite?
False
Suppose 0 = -4*u - 3*r + 46, -u = 3*u - 5*r - 62. Suppose 3*n + 2*n = -30. Let j = u - n. Is j prime?
True
Let y = -35 - -50. Is y a composite number?
True
Let p(u) = 8*u**2 - 19*u + 5. Is p(6) composite?
False
Let j be 2/(1 - 1/3). Let i(x) = -3*x + 5. Let o be i(-7). Suppose 5*t + o + 69 = j*w, -3*w - 5*t = -115. Is w a composite number?
True
Let s be (-1750)/(-15) - (-4)/(-6). Let r = s + -61. Is r composite?
True
Let j(a) = -32*a - 7. Let b(o) = -o**3 - 12*o**2 - 10*o + 4. Let i be b(-11). Is j(i) prime?
False
Let z(i) be the second derivative of i**5/60 - i**4/24 - 11*i**3/6 + 2*i**2 + 2*i. Let f(n) be the first derivative of z(n). Is f(-11) composite?
True
Is (17/3)/((-3)/(-171)) prime?
False
Let n = -11 - -14. Let q(s) = 3*s**2 - 8*s + 4. Is q(n) prime?
True
Suppose -p + 48 = -0*p. Suppose 0*x + p = -3*x. Is ((-145)/2)/(8/x) composite?
True
Is 14172/18 - 1/3 a prime number?
True
Let w be 0/(-2 + -1) + 3. Suppose -3*q = -w*p - 15, -2*p - 2 = 2*q - 0. Is 4 - (-3 + 2 + q) composite?
False
Let w = 3 - 1. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
359
Let n = 213 + 1713. Suppose -n = 9*x - 6012. What are the prime factors of x?
2, 227
List the prime factors of 789/1315 + (-127494)/(-10).
2, 3, 5, 17
Suppose 0*l - a = 4*l - 57746, 0 = -2*l + 2*a + 28878. List the prime factors of l.
14437
Suppose -4*c + 3*o - 1694 + 322 = 0, c + 343 = -4*o. Let s = 1014 - c. List the prime factors of s.
23, 59
Let o = -50 - -52. Suppose -o*c + 250 = -416. Suppose 0 = -3*l - 0*l + c. What are the prime factors of l?
3, 37
Suppose -x + 671 = -4*r, -5*x + 0*x + 3309 = 3*r. Suppose -3*j + 171 = -2*j + 5*t, 4*j - x = t. List the prime factors of j.
2, 83
Let h(k) = 88*k - 475. What are the prime factors of h(54)?
7, 13, 47
Suppose 38 = 5*i - 7. Let f be 1/((3/i)/(2/6)). List the prime factors of 8 - -73 - (-4)/f.
5, 17
Let x(m) be the second derivative of -27*m**3/2 - 11*m**2/2 + 47*m. What are the prime factors of x(-3)?
2, 29
Let y = -67766 + 113442. What are the prime factors of y?
2, 19, 601
Suppose 7*y - 4*y = -2*l + 63625, l - y = 31830. List the prime factors of l.
11, 263
Let u = 2549 - -407. List the prime factors of u.
2, 739
Let q = -12011 + 21808. What are the prime factors of q?
97, 101
Let x(k) = 328*k + 980. Let m be x(-3). Let u be (-2 + 4)/(2/(-26)). What are the prime factors of 3/m*u*(-10)/(-15)?
13
Suppose -2 = -3*u - 8, -s + 337 = 3*u. Let j = s - 253. What are the prime factors of j?
2, 3, 5
Suppose 38*b + 96*b - 5179400 = -11*b. List the prime factors of b.
2, 5, 19, 47
List the prime factors of 73 - 65 - (3 + -8700).
5, 1741
Let m = 31704 - 21199. What are the prime factors of m?
5, 11, 191
Suppose a + 17*k - 315 = 12*k, 0 = 2*a + 5*k - 640. What are the prime factors of a?
5, 13
Let n(t) = 7*t**2 - 16*t + 230. Let f be n(-30). Suppose -d - 4*p = -6*d + f, 4*d - 5608 = 3*p. What are the prime factors of d?
2, 701
Let p = -34 + 12. List the prime factors of ((-4)/p + 3480/99)*15.
2, 5, 53
Let r = -66 - -36. Let s = 3 - r. Suppose 3*f = 3 + s. What are the prime factors of f?
2, 3
Let b = -982 - -2052. Suppose 0 = -2*m - 3*l + 544, -3*l - b = 12*m - 16*m. List the prime factors of m.
269
Suppose 10*m - 48 = -2*m. Suppose 3*n = 2*n - 5, -2165 = -m*b - 3*n. What are the prime factors of b?
5, 109
Suppose 3*w - 734 = 4*a + a, 0 = 3*a - w + 438. Let d = a + 127. What are the prime factors of (-1182)/d + (0 - 6/9)?
5, 13
Let h(t) = t**3 + 153*t**2 + 245*t + 74. List the prime factors of h(-150).
2, 3853
Let d(f) = -12*f + 376. Let i be d(-20). List the prime factors of 21/(i/(-208) + 3).
2, 3, 7, 13
Suppose 0 = -4*m - 3*j + 49975, 24*m + 5*j = 27*m - 37445. List the prime factors of m.
2, 5, 1249
Let y(u) = u**3 + 26*u**2 - 35*u + 48. Suppose -2*v = 5*g + 64, 2*v + g + 32 = -24. What are the prime factors of y(v)?
2, 3, 11
List the prime factors of (-92945)/(-55) + (-42)/22 + 2.
2, 5, 13
Let r be (-5 - -6)/(8/216). Let l = r - -32. What are the prime factors of l?
59
Let g = 82931 - 43242. What are the prime factors of g?
13, 43, 71
Let k(h) = h**3 - 12*h**2 - 13*h + 9. Let r be k(13). Suppose r*f - 10*f = 0. Suppose f = 2*d + 2 - 118. List the prime factors of d.
2, 29
Let s = 52099 + -19379. List the prime factors of s.
2, 5, 409
Suppose 4*k + 36616 = 2*i, 6898 = -4*i + 4*k + 80110. List the prime factors of i.
2, 7, 1307
Let j = 23850 - 10307. What are the prime factors of j?
29, 467
Let c(j) = 2430*j**2 - 180*j + 541. What are the prime factors of c(3)?
21871
Suppose -12*y + 5165 = -1927. Suppose 3*p = 6*c - 2*c + 892, 2*p = -c + y. List the prime factors of p.
2, 37
Let s(z) be the third derivative of -7*z**5/40 + z**4/12 + 11*z**3/6 + 2*z**2. Let b(a) be the first derivative of s(a). What are the prime factors of b(-2)?
2, 11
Suppose 3*s - t - 2*t = -36, 24 = -2*s - 3*t. Let h be 2/(-1)*1 - (-14 - s). Suppose 5*m + 515 = -n + 3*n, -n - m + 254 = h. List the prime factors of n.
3, 5, 17
Let x(j) = -65*j - 1298. Let f be x(-20). Let k be (2 - 0 - 2)/1. Suppose -f*y + 0*y = 5*q - 481, q + 3*y - 91 = k. List the prime factors of q.
97
Let o(q) = 139*q**2 + 51*q + 33. List the prime factors of o(-7).
13, 499
What are the prime factors of (-11 + 3638/85)/((-2)/(-40))?
2, 3, 53
Let s = -31 + 41. Suppose 10 = 4*v - s. Suppose -v*d = -10*d + 200. List the prime factors of d.
2, 5
Let i(f) = 101*f - 33. Let p be (200/(-80))/((-10)/24). List the prime factors of i(p).
3, 191
Let c(f) be the third derivative of -f**4/8 + 22*f**3/3 - 14*f**2. Let r be c(17). List the prime factors of (46/(-4))/(r/42).
3, 23
Let y = 52 + -50. Suppose -2*j = -2*a - 2, -3*a = -y*j + 3 + 1. List the prime factors of (a - (-32)/(-12))*-18.
2, 3, 7
Let s be ((-4)/(-16))/(2/72). What are the prime factors of (21/14)/(2/12912*s)?
2, 269
Suppose 0 = 5*p - 8*y - 26046, 0 = -y - 33 + 31. What are the prime factors of p?
2, 19, 137
Let b(f) = 4*f**2 + 2*f - 482. Let s(q) = 11*q**2 + 6*q - 1447. Let v(c) = 8*b(c) - 3*s(c). What are the prime factors of v(0)?
5, 97
Let z(v) = -v + 10. Let i be z(-12). Suppose -42*q = -i*q - 22700. What are the prime factors of q?
5, 227
Let d = -261 + 269. Suppose 383 = d*g - 7*g. List the prime factors of g.
383
Suppose -6*h + 47 = 11. Suppose -h*g - 2 + 8 = 0. What are the prime factors of -1*g/(2/(-209 - -3))?
103
Let r = 30 + -28. Suppose -695 = -c + r*f - 117, 3*c - f - 1719 = 0. What are the prime factors of c?
2, 11, 13
Let n(a) = -68*a - 632. What are the prime factors of n(-44)?
2, 5, 59
Let a(i) = 13*i - 39. Let f be a(4). List the prime factors of ((-2145)/(-9))/(f/78).
2, 5, 11, 13
Let p be (-3*20/(-15))/6*9. Suppose -6*n + n + 2*w + 1006 = 0, 5*n - w - 1003 = 0. Suppose -n = -p*r + r. What are the prime factors of r?
2, 5
Let o = 286 - 286. Suppose 2*a + 589 = 2*l - 465, 4*a - 16 = o. What are the prime factors of l?
3, 59
Suppose 2*j + 5*s = 42139, 3*s + 84187 = 427*j - 423*j. What are the prime factors of j?
2, 19, 277
Let a(t) = 5*t**3 - 5*t**2 + 7. Suppose 6*l + l - 21 = 0. Let y = 0 + l. List the prime factors of a(y).
97
Suppose 0 = 4*p + 4*v - 248, 0 = 4*p + 12*v - 7*v - 243. Let a = -2 - 1. List the prime factors of (-3 - p/3)*a.
2, 19
Let f(u) = u**3 - u**2 + 8*u + 42. Let r be f(-6). Let t = 717 + r. What are the prime factors of t?
3, 17
Let x = 1413 + 3409. What are the prime factors of x?
2, 2411
Let o be 4/24*-3*-8. Suppose o*p = -4*p. Suppose 0 = -2*x - 2, 0 = 2*c + x - p - 9. What are the prime factors of c?
5
Suppose 2 = -2*j + 4*j. Let p(y) = 513*y**2 - 3*y + 2. Let q be p(j). Suppose -4*v + q = -3*z - z, 5*z = -v + 128. List the prime factors of v.
2
Let s(f) = -5*f + 78 - 35 + 74. List the prime factors of s(9).
2, 3
Let g(q) = -12*q**3 + 9*q**2 - 13*q - 3. List the prime factors of g(-8).
19, 359
Let i(j) = 26*j**2 - 46*j + 30. What are the prime factors of i(23)?
2, 3, 7, 101
Suppose -48774 = -10*w - w. Suppose -w - 6533 = -11*p. List the prime factors of p.
997
Let u be (6/(-16))/3 - (-1128)/(-192). List the prime factors of 34/(-51) - 1019/u*2.
3, 113
Let z = 658 + -254. Let p be (-8)/(-3)*((-30)/16)/(110/(-264)). List the prime factors of 1/(-4)*(p + -13)*z.
101
Let m(a) = 3*a**3 - 8*a**2 + 2*a - 97. What are the prime factors of m(15)?
2, 4129
List the prime factors of ((-1443)/52 - -1 - -4)*(-1 - 203).
3, 7, 13, 17
Let p(k) = 3*k**3 - 25*k**2 + 121*k - 12. List the prime factors of p(10).
2, 3, 283
Let v(u) = 10*u + 103. Let f be v(-10). Suppose -f*a = -178 - 1016. What are the prime factors of a?
2, 199
Let k(t) = 18670*t - 18687*t + 6*t**2 + 21 + t**2. List the prime factors of k(11).
3, 227
Suppose 7*t - 11044 = 3579. List the prime factors of t.
2089
Suppose -4*a - 4*h + 5 + 11 = 0, -2*h = 4*a - 12. Let i(m) = 2*m + 6*m**2 + 5*m**a - 7*m**2 - m**2 - 4 + 11*m**3. List the prime factors of i(2).
2, 5
Suppose -5*y + 0*y + 235 = 0. Let h = y - 41. Let l(r) = 11*r + 6. What are the prime factors of l(h)?
2, 3
Let t(q) = q**3 - 10*q**2 + 8*q + 14. Let k be t(9). Suppose -336 = -k*y - 36. Let g = y - 42. What are the prime factors of g?
2, 3
Let r = 58426 - 30369. List the prime factors of r.
28057
Let w(h) = 91*h + 11. Suppose 4*m = r - 24, 0*m = -2*r - 5*m - 17. Let v be w(r). Suppose -7*n - 25 + v = 0. What are the prime factors of n?
2, 5
Let p(o) = o**2 + 11*o - 3. Let l(w) = 4*w - 1. Let r(m) = -17*l(m) + 6*p(m). Let g be r(-1). Suppose g*j + 274 -
|
{
"pile_set_name": "DM Mathematics"
}
|
of 0.1624 and -0.9.
-0.14616
Calculate 0.05*1.82.
0.091
Product of -0.1 and -40.831.
4.0831
Work out 1.4 * -0.37409.
-0.523726
What is the product of 1535.9 and -3.4?
-5222.06
Work out -0.1369 * -35.
4.7915
Work out -6 * -3771.
22626
Work out 150.736 * -11.
-1658.096
Work out -10 * -180707.
1807070
70 times 91
6370
What is the product of -46 and -546?
25116
What is the product of -2972 and -6.7?
19912.4
Calculate -37.2*-12.2.
453.84
Calculate 22133*-11.
-243463
-1011 * -8
8088
What is -51.705 times 0.04?
-2.0682
Multiply -0.036 and -536.
19.296
Work out 5 * 58.0676.
290.338
Product of -0.114 and 1314.
-149.796
Product of 0.4 and -12.8891.
-5.15564
Product of -26.6069 and -5.
133.0345
-4*-2973
11892
Work out 1.3 * -7164.
-9313.2
What is the product of -0.3 and 0.046698?
-0.0140094
0.2599 * 36
9.3564
Multiply 190 and -756.
-143640
Product of 79.2 and 1.19.
94.248
Work out -3.5 * -0.067.
0.2345
5.296 * -0.11
-0.58256
What is the product of -0.027 and -14.139?
0.381753
313*-2397
-750261
Calculate -1699*-0.84.
1427.16
-456.7*0.0106
-4.84102
What is -322.9 times 0.01?
-3.229
2.9 times 2720
7888
What is 58 times 5.4046?
313.4668
Product of -3 and -409.838.
1229.514
Work out 82.8 * -146.
-12088.8
Multiply 387 and 0.1192.
46.1304
119 * 626
74494
-234 * -2095
490230
What is the product of 1.1057 and -4?
-4.4228
What is 0.1899 times -194?
-36.8406
What is the product of -0.14 and 1.53592?
-0.2150288
0.2*-1.4587
-0.29174
-547*-3034
1659598
What is the product of 1.2 and 0.118?
0.1416
What is -24 times -0.0574?
1.3776
Calculate -1.5062*-0.3.
0.45186
-0.13 times 12624
-1641.12
1596*292
466032
Work out -0.5 * 18222.
-9111
Multiply -5515.5 and -0.2.
1103.1
0.3*2444.9
733.47
-8 times 795
-6360
32*-491
-15712
What is -0.4 times 4.3801?
-1.75204
Calculate 158327*-0.2.
-31665.4
Multiply 352465 and 0.4.
140986
Calculate -249*-792.
197208
Work out 27 * -1109.
-29943
-0.6 * -19179
11507.4
Calculate 14.8456*3.
44.5368
-5 * 54
-270
-0.5 times 183463
-91731.5
Product of 381 and -1572.
-598932
Calculate 3257303*0.3.
977190.9
-135293*0.5
-67646.5
Product of 2.03 and -19.
-38.57
Calculate -20871*1.
-20871
6 * 333338
2000028
535686 times 0.5
267843
-0.1 times 664783
-66478.3
Work out -11.7741 * 0.4.
-4.70964
Work out -1517 * -1219.
1849223
Work out -1049782 * 0.1.
-104978.2
Calculate -0.31*0.114637.
-0.03553747
-3.8*3194
-12137.2
Multiply 0.3743 and 64.
23.9552
-118 * -0.00386
0.45548
Multiply -43 and 0.09.
-3.87
-4 * 0.321
-1.284
Product of -640 and -0.85.
544
Product of -0.0365 and -0.94.
0.03431
1 * -5.588
-5.588
What is the product of 9 and -0.033524?
-0.301716
Work out -2.1225 * -0.03.
0.063675
Product of -28 and 47.39.
-1326.92
Multiply 0.05433 and 250.
13.5825
What is -763910 times 0?
0
Product of -1147.9 and 0.323.
-370.7717
Calculate 4*-4.78034.
-19.12136
Calculate -5*-0.28675.
1.43375
Product of -988 and -54.
53352
Calculate 0.1*0.0909027.
0.00909027
-92737*3
-278211
Multiply -76622 and 0.19.
-14558.18
What is the product of 65 and 212?
13780
What is the product of 22 and 149678?
3292916
Calculate -3*-0.020529.
0.061587
Calculate 0.26*-1286.
-334.36
Multiply -227.99 and -0.85.
193.7915
1099 * -0.7
-769.3
Multiply 0.4 and 57206.
22882.4
6660 times 0.76
5061.6
Work out 44355 * -8.
-354840
Work out -0.26292 * -1.1.
0.289212
105617*3
316851
What is -0.2 times -83556?
16711.2
-475 times -1131
537225
What is the product of 72 and -132?
-9504
183 * -7474
-1367742
0.01 times -29096
-290.96
Calculate -256*-36.
9216
What is the product of 1.6852 and 0.1?
0.16852
Multiply 0.21 and -0.7931.
-0.166551
Calculate 511*-22.11.
-11298.21
Product of -2 and -19986.
39972
Product of -0.004304 and 4.8.
-0.0206592
What is the product of 3.698 and 8?
29.584
What is -0.6 times 16515?
-9909
Work out -4.993 * -2.
9.986
-514 * 43.2
-22204.8
0.4 times 5.10212
2.040848
4 times -50490.3
-201961.2
0.116607 * -0.5
-0.0583035
Calculate -0.71*201.
-142.71
-5*-5054.06
25270.3
8367 times 0.38
3179.46
-0.0168 * -7
0.1176
Calculate -0.099*-7.9.
0.7821
-0.2 times 8411.4
-1682.28
0.089 * 0.02
0.00178
Multiply -801 and 146.
-116946
-0.6*-972
583.2
Work out -5.83 * -3.3.
19.239
Calculate -0.2*28453.
-5690.6
-2.354 * 1.8
-4.2372
-0.078574 * -0.3
0.0235722
-8468 times 0
0
Work out -0.1 * 4389.
-438.9
Work out 0.0595142 * -0.1.
-0.00595142
What is 1.191 times -51?
-60.741
Calculate 798405*0.4.
319362
What is -0.98 times 0.8?
-0.784
Multiply 31 and 6.59.
204.29
16*-9226
-147616
1174.8 * 3.6
4229.28
19 * -25366
-481954
-0.152*15.84
-2.40768
What is 0.3 times 204.72?
61.416
Calculate 3*2.53803.
7.61409
0.149 * 21.7
3.2333
What is 9 times 16059?
144531
-4 times -0.139197
0.556788
Multiply -23 and -0.3451.
7.9373
Product of 11526 and -6.
-69156
Work out -0.4 * -0.785544.
0.3142176
Work out -0.4 * -351669.
140667.6
What is the product of 355 and -15?
-5325
2420*-1202
-2908840
What is the product of 2363 and -9?
-21267
What is the product of 0.226558 and 0?
0
45 * 655
29475
What is the product of 0.0547 and 321?
17.5587
Multiply -9.4 and -51.
479.4
Work out -44840 * 0.07.
-3138.8
Work out 305 * 3.9.
1189.5
Work out -0.00811 * 40.
-0.3244
-5 times 272670
-1363350
Multiply -0.0558198 and 4.
-0.2232792
Calculate 9709.5*0.05.
485.475
Work out -1214289 * -0.1.
121428.9
Work out 11.1083 * 1.
11.1083
What is the product of -3 and 24.57?
-73.71
What is the product of -1970 and -0.08?
157.6
Work out 29 * 5414.
157006
What is 3329 times -38?
-126502
Product of 0.33 and -11215.
-3700.95
Calculate -146*-13.899.
2029.254
195148 times -0.2
-39029.6
Multiply 6804 and -3.
-20412
Multiply -1 and -5811.
5811
-0.4 * -14925
5970
Product of -2 and 91001.
-182002
Work out 2 * 7767.
15534
Multiply 17548 and 2.
35096
What is 1702 times 310?
527620
Calculate 570*0.93.
530.1
Product of -0.1 and -2565.4.
256.54
-5 * -1.6845
8.4225
What is the product of 291908 and 8?
2335264
-3584 * 40
-143360
0.4 * 25679
10271.6
Product of 64 and -901.6.
-57702.4
What is the product of 2.34999 and -0.6?
-1.409994
Work out 0.03 * -4461.
-133.83
-1982660*0
0
What is 13.4 times -7?
-93.8
27.0254 times -5
-135.127
0.29 times -856
-248.24
Product of 0.1 and 0.31925.
0.031925
-1.4*33.43
-46.802
6.73*0.2
1.346
Product of -18023 and 0.17.
-3063.91
5329 times 139
740731
0.09 * 2.261
0.20349
Product of -2556564 and 0.5.
-1278282
0.0701892 times -0.1
-0.00701892
Multiply -56.54 and 14.
-791.56
Multiply -9202 and -0.103.
947.806
What is 821 times -0.4457?
-365.9197
Work out -2 * -928.7.
1857.4
1.60692 * -4
-6.42768
-0.1 * -68608
6860.8
What is the product of -1.1 and -1404.2?
1544.62
What is the product of -1.2 and 104.116?
-124.9392
-0.07 * 47993
-3359.51
-0.0193*0.19
-0.003667
150.7958*-0.2
-30.15916
0.088 * 1042
91.696
Work out 0 * 0.34148.
0
What is -415.5 times -9?
3739.5
Work out 0.381539 * -0.1.
-0.0381539
-6 times -5.283
31.698
Multiply 3797 and -4.2.
-15947.4
Product of -0.3 and -95954.
28786.2
Multiply 2.19 and -5.012.
-10.97628
7.174 times -2
-14.348
Multiply 482 and 1461.
704202
-90.6 times 0.08
-7.248
What is -0.05473 times -0.2?
0.010946
What is -0.5 times -52487?
26243.5
What is the product of -4627 and -4?
18508
What is 267482 times 0?
0
Calculate 1.34*-0.63.
-0.8442
Calculate -288073*-0.4.
115229.2
-18382 * 11
-202202
0.6 times 36.43
21.858
-24009 times -42
1008378
Multiply 0.01 and -6999.
-69.99
1681 times -0.26
-437.06
-3*3517
-10551
What is the product of -18.413 and 4?
-73.652
Work out 4 * 108948.
435792
What is -0.18 times -446?
80.28
69.194*-1.3
-89.9522
0.257 * 0.4615
0.1186055
What is the product of -2362.73 and -0.1?
236.273
-3 times -3.942
11.826
Multiply -0.11 and -0.0496.
0.005456
Multiply -2276 and -1.2.
2731.2
6.2 * -0.1028
-0.63736
Work out 6947 * -183.
-1271301
What is -0.17 times 5221?
-887.57
Work out 5 * -38494.
-192470
Multiply -592 and 0.5.
-296
Calculate 0.5*-1117.
-558.5
280*-1.76
-492.8
28286 times -0.15
-4242.9
-100607 * -3
301821
Work out -6.51213 * -0.05.
0.3256065
-0.1*-14935
1493.5
Multiply -109084 and -1.
109084
-8556 times 90
-770040
What is 46.3 times 51.69?
2393.247
Multiply -3 and 447327.
-1341981
Product of 575.4 and -0.6.
-345.24
What is 0.06696 times -0.5?
-0.03348
What is -791731 times -1?
791731
36269*-1
-36269
What is -78 times -943.49?
73592.22
Work out -4 * -12024.
48096
Calculate -0.1*132142.
-13214.2
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
placement from {q: 1, f: 2, t: 1, i: 6, s: 2}. What is prob of sequence ftq?
1/660
What is prob of sequence xbbb when four letters picked without replacement from {x: 1, b: 18}?
1/19
What is prob of sequence dz when two letters picked without replacement from yyzyzydzzyy?
2/55
Calculate prob of sequence zq when two letters picked without replacement from pnnpzq.
1/30
Two letters picked without replacement from {z: 7, y: 1, f: 11}. What is prob of sequence zy?
7/342
Calculate prob of sequence wpp when three letters picked without replacement from {w: 6, p: 6}.
3/22
What is prob of sequence gtt when three letters picked without replacement from xztzxxgxtgzzzgtgttt?
20/969
Calculate prob of sequence sjls when four letters picked without replacement from {l: 4, s: 9, j: 1, r: 2}.
3/455
What is prob of sequence prp when three letters picked without replacement from rrprrp?
1/15
Calculate prob of sequence ssr when three letters picked without replacement from rsssssssssssssssss.
1/18
Four letters picked without replacement from {a: 1, d: 1, k: 1, t: 1, r: 3}. What is prob of sequence katd?
1/840
Four letters picked without replacement from ufurpub. What is prob of sequence rfub?
1/280
Two letters picked without replacement from {q: 1, z: 1, p: 2, y: 5}. Give prob of sequence zy.
5/72
What is prob of sequence fth when three letters picked without replacement from fhcaftf?
1/70
Calculate prob of sequence iq when two letters picked without replacement from niqiiqnnriii.
1/11
Two letters picked without replacement from gfaafffasxa. Give prob of sequence ff.
6/55
Two letters picked without replacement from llflllllf. Give prob of sequence ll.
7/12
Two letters picked without replacement from vmoomvmvxxfoouo. Give prob of sequence vm.
3/70
Four letters picked without replacement from lvtplhlpvphpypyt. What is prob of sequence vyyl?
1/3640
Calculate prob of sequence uccm when four letters picked without replacement from {c: 2, m: 1, y: 1, u: 1}.
1/60
Two letters picked without replacement from {c: 3, s: 3, b: 6, g: 1, t: 1, z: 4}. What is prob of sequence ts?
1/102
What is prob of sequence si when two letters picked without replacement from iuhvuis?
1/21
What is prob of sequence um when two letters picked without replacement from uyymmmlyymmmlmmm?
3/80
Calculate prob of sequence wwi when three letters picked without replacement from {i: 8, w: 3}.
8/165
Calculate prob of sequence yfy when three letters picked without replacement from feyyefefff.
1/72
Two letters picked without replacement from pjsp. What is prob of sequence pj?
1/6
Three letters picked without replacement from {y: 6, z: 12}. What is prob of sequence yzy?
5/68
What is prob of sequence hmhm when four letters picked without replacement from mmhhppmpmmhp?
1/99
Three letters picked without replacement from rddtrtrrtrdddt. Give prob of sequence trd.
25/546
Calculate prob of sequence pjlp when four letters picked without replacement from {p: 4, j: 3, l: 1, y: 7, s: 3}.
1/2040
Calculate prob of sequence cc when two letters picked without replacement from {c: 9, x: 9}.
4/17
What is prob of sequence yaz when three letters picked without replacement from mzayzmyzmyaszmmm?
1/140
Two letters picked without replacement from vvoovvovvvoovohoqh. What is prob of sequence oq?
7/306
Four letters picked without replacement from ggvvvvvgvg. What is prob of sequence vvvv?
1/14
Calculate prob of sequence ar when two letters picked without replacement from {r: 2, a: 1}.
1/3
Four letters picked without replacement from jtjlq. Give prob of sequence lqjt.
1/60
What is prob of sequence byby when four letters picked without replacement from fayabyub?
1/420
Four letters picked without replacement from {j: 1, g: 7, b: 2, h: 2}. What is prob of sequence gggb?
7/198
Four letters picked without replacement from kkkhkhhhkkhkhhhhkhk. What is prob of sequence kkkh?
35/646
Two letters picked without replacement from aoxooooaoooooxo. Give prob of sequence xx.
1/105
Three letters picked without replacement from bdmmdtdzbmdt. What is prob of sequence mdd?
3/110
Two letters picked without replacement from {w: 2, a: 1, c: 1}. What is prob of sequence wa?
1/6
Four letters picked without replacement from diqiiiqiii. Give prob of sequence diqi.
1/60
Two letters picked without replacement from {p: 1, h: 1, c: 8, a: 6, e: 1}. Give prob of sequence pa.
3/136
Four letters picked without replacement from {x: 11, m: 1, a: 3, g: 4}. What is prob of sequence xaxx?
165/5168
What is prob of sequence fff when three letters picked without replacement from fhhfffffffff?
6/11
Three letters picked without replacement from vbvfbbkbbbfxvbbbxib. What is prob of sequence fvf?
1/969
Four letters picked without replacement from {a: 9, h: 2, j: 7}. Give prob of sequence jahh.
7/4080
What is prob of sequence woly when four letters picked without replacement from wwwywolww?
1/504
Two letters picked without replacement from eazmxap. Give prob of sequence mp.
1/42
Calculate prob of sequence yyay when four letters picked without replacement from {y: 11, a: 5}.
165/1456
What is prob of sequence gq when two letters picked without replacement from qqbzqngzqgbqnqqqgqq?
5/57
Four letters picked without replacement from {d: 3, f: 1, r: 3}. Give prob of sequence drdd.
3/140
Two letters picked without replacement from vvvvbvbvvv. What is prob of sequence vv?
28/45
Two letters picked without replacement from {q: 1, j: 1, v: 1}. Give prob of sequence vj.
1/6
Four letters picked without replacement from {z: 1, j: 9, m: 3, d: 2, p: 3}. Give prob of sequence pmpz.
1/4080
Three letters picked without replacement from {r: 10, e: 4}. Give prob of sequence rre.
15/91
What is prob of sequence rqn when three letters picked without replacement from mrrnnqrqm?
1/42
Calculate prob of sequence uq when two letters picked without replacement from uxhgxqq.
1/21
Calculate prob of sequence vl when two letters picked without replacement from vqhyhvql.
1/28
Three letters picked without replacement from {y: 7, q: 5}. Give prob of sequence qyy.
7/44
Three letters picked without replacement from {v: 7, z: 12}. What is prob of sequence zzz?
220/969
Two letters picked without replacement from ppwwppwwwwwwwpwwwwp. Give prob of sequence pw.
13/57
Two letters picked without replacement from {p: 2, v: 11}. Give prob of sequence pv.
11/78
What is prob of sequence ar when two letters picked without replacement from {m: 1, h: 4, a: 2, r: 3}?
1/15
Three letters picked without replacement from {b: 1, h: 3, r: 2, x: 6}. What is prob of sequence hhh?
1/220
Calculate prob of sequence lnn when three letters picked without replacement from ttbtnnebilellel.
4/1365
Two letters picked without replacement from dddddddgddddd. What is prob of sequence dd?
11/13
What is prob of sequence tntn when four letters picked without replacement from {n: 8, t: 4, l: 5, s: 2}?
7/969
Three letters picked without replacement from hhnnanonaooohh. Give prob of sequence hhn.
2/91
Calculate prob of sequence xrzu when four letters picked without replacement from rjuaxzx.
1/420
Calculate prob of sequence sssr when four letters picked without replacement from {s: 4, a: 3, r: 1}.
1/70
Three letters picked without replacement from sttssstsssssssmmss. What is prob of sequence ttm?
1/408
Four letters picked without replacement from skkksuaspkksbususpbp. Give prob of sequence aupp.
1/6460
Calculate prob of sequence zvrv when four letters picked without replacement from vrvvzzz.
3/140
Two letters picked without replacement from {z: 14, g: 1, l: 5}. What is prob of sequence zz?
91/190
Four letters picked without replacement from {s: 3, q: 1, i: 3, c: 5, x: 1, f: 2}. What is prob of sequence sxis?
1/1820
Two letters picked without replacement from xobooofxofbxxosf. Give prob of sequence ox.
1/10
What is prob of sequence hhsf when four letters picked without replacement from shshshhhsshsssf?
2/273
Three letters picked without replacement from {f: 1, r: 2}. Give prob of sequence rfr.
1/3
What is prob of sequence wow when three letters picked without replacement from {w: 7, i: 5, o: 2}?
1/26
Two letters picked without replacement from {d: 2, c: 2, n: 8, j: 3}. What is prob of sequence cc?
1/105
What is prob of sequence lrr when three letters p
|
{
"pile_set_name": "DM Mathematics"
}
|
-4490, -5951, -7386, -8789, -10154, -11475?
-12746
What is the next term in -2907, -23301, -78653, -186441, -364143, -629237, -999201?
-1491513
What is the next term in -784, -575, -30, 1019, 2740, 5301, 8870?
13615
What is next in 115, 450, 1005, 1780, 2775, 3990?
5425
What comes next: -96, -176, -258, -342, -428?
-516
What is the next term in -112, -367, -812, -1453, -2296?
-3347
What comes next: -545, -579, -575, -533, -453, -335, -179?
15
What comes next: 79322, 158640, 237958, 317276, 396594, 475912?
555230
What is next in -194, -315, -524, -827, -1230, -1739, -2360, -3099?
-3962
What is next in 194, 217, 52, -307, -866, -1631?
-2608
What is next in -777386, -1554770, -2332154?
-3109538
What is next in -10715, -21504, -32293, -43082?
-53871
What is next in -21296, -42606, -63916, -85226?
-106536
What is next in -34, -144, -370, -766, -1386, -2284, -3514, -5130?
-7186
What is next in 2681, 2777, 2873?
2969
What is the next term in 62623, 125119, 187615, 250111, 312607, 375103?
437599
What is next in -555, -502, -437, -354, -247, -110, 63?
278
What comes next: 480, 1908, 4282, 7596, 11844, 17020, 23118?
30132
What comes next: -69, -199, -419, -729, -1129, -1619?
-2199
What is next in 305, 325, 381, 491, 673, 945?
1325
What is next in -30, -54, -100, -174, -282?
-430
What comes next: 218784, 437566, 656348, 875130, 1093912?
1312694
What is the next term in 6611, 12929, 19225, 25487, 31703, 37861?
43949
What is the next term in -4404, -4398, -4388, -4374, -4356, -4334, -4308?
-4278
What is next in -692, -1222, -1752?
-2282
What is next in -5561, -5597, -5633?
-5669
What is next in -39046, -39045, -39044, -39043, -39042?
-39041
What is next in -305, -665, -1071, -1517, -1997, -2505, -3035, -3581?
-4137
What comes next: -3803, -3808, -3815, -3824, -3835?
-3848
What is the next term in 43, 40, -21, -182, -485?
-972
What is next in -5700, -22812, -51334, -91266, -142608?
-205360
What is next in 342152, 342151, 342150, 342149, 342148, 342147?
342146
What is next in 115467, 115463, 115467, 115485, 115523, 115587?
115683
What comes next: -151971, -151955, -151939?
-151923
What is the next term in -1634, -12953, -43662, -103457, -202034, -349089, -554318?
-827417
What comes next: 966, 4288, 9902, 17814, 28030?
40556
What is next in -20, -82, -226, -494, -928, -1570?
-2462
What comes next: 326, 725, 1136, 1565, 2018, 2501?
3020
What is next in 1457, 3158, 4869, 6596, 8345, 10122, 11933?
13784
What comes next: -1687, -3827, -5979, -8149, -10343, -12567?
-14827
What is next in 2683, 10683, 23995, 42607, 66507, 95683?
130123
What is the next term in 196145, 196146, 196147, 196148, 196149?
196150
What comes next: 14040, 28082, 42122, 56160, 70196?
84230
What is the next term in -14, -6, 60, 220, 510, 966?
1624
What is the next term in 750, 6060, 20478, 48558, 94854, 163920, 260310, 388578?
553278
What is next in -1973, -3945, -5917, -7889, -9861, -11833?
-13805
What comes next: 630, 399, 168?
-63
What comes next: 5789, 5793, 5797, 5801, 5805, 5809?
5813
What is next in -3861, -3905, -3945, -3981, -4013?
-4041
What is the next term in 1092, 1068, 1046, 1026, 1008?
992
What comes next: -2240248, -2240254, -2240262, -2240272, -2240284?
-2240298
What is next in -2720, -2761, -2804, -2849, -2896, -2945, -2996?
-3049
What is the next term in 2108, 2004, 1900?
1796
What comes next: -29333, -28924, -28243, -27290, -26065, -24568?
-22799
What is the next term in -30374, -60748, -91122?
-121496
What is the next term in 2193, 4727, 7261, 9795, 12329, 14863?
17397
What is the next term in 5, -17, -69, -157, -287, -465, -697?
-989
What comes next: 1257, 1230, 1207, 1188, 1173, 1162?
1155
What is the next term in -279, -409, -551, -711, -895, -1109, -1359?
-1651
What comes next: 703, 738, 789, 862, 963, 1098, 1273?
1494
What is the next term in -81, -251, -717, -1629, -3137, -5391, -8541?
-12737
What is next in -447, -314, -191, -84, 1, 58, 81?
64
What comes next: 7169, 13533, 19885, 26219, 32529, 38809, 45053, 51255?
57409
What is next in -578, -2356, -5334, -9518, -14914, -21528, -29366?
-38434
What comes next: 255, 242, 229, 216?
203
What is next in 1986, 2004, 2022?
2040
What is next in 207, 725, 1587, 2793?
4343
What comes next: -2, -5, -16, -29, -38?
-37
What is the next term in 3144, 2862, 2590, 2334, 2100, 1894?
1722
What is next in -6318, -6325, -6336, -6351, -6370?
-6393
What is the next term in 4246, 33995, 114752, 272023, 531314, 918131, 1457980?
2176367
What is the next term in 44466, 88927, 133382, 177831, 222274, 266711?
311142
What comes next: 70, 102, 160, 256, 402, 610, 892?
1260
What is the next term in 900, 1636, 2372, 3108?
3844
What is next in 54647, 109305, 163963, 218621, 273279?
327937
What comes next: -137539, -137542, -137547, -137554, -137563?
-137574
What is next in 157, 216, 281, 352, 429, 512, 601?
696
What is the next term in 48, -504, -1056?
-1608
What is the next term in -1535, -3320, -5105, -6890, -8675, -10460?
-12245
What is next in -1994, -7970, -17926, -31862, -49778, -71674, -97550?
-127406
What is next in 13123, 26240, 39357, 52474?
65591
What is next in -5954, -5943, -5924, -5897, -5862, -5819, -5768?
-5709
What comes next: -14786, -14614, -14444, -14276, -14110, -13946, -13784?
-13624
What is the next term in 23, -31, -157, -355, -625?
-967
What is next in -259039, -259040, -259041, -259042?
-259043
What comes next: 715, 1849, 3739, 6385, 9787, 13945, 18859?
24529
What is next in 12571, 25134, 37699, 50266, 62835?
75406
What comes next: -458, -497, -530, -551, -554, -533, -482, -395?
-266
What comes next: -443, -587, -731, -875, -1019, -1163?
-1307
What is the next term in 989, 1100, 1285, 1544?
1877
What is next in -6336, -12673, -19010, -25347, -31684, -38021?
-44358
What is next in -20428, -40877, -61326, -81775?
-102224
What comes next: -1542, -802, -62, 678, 1418, 2158?
2898
What comes next: 13, -144, -405, -776, -1263, -1872, -2609, -3480?
-4491
What is next in -1690, -1770, -1866, -1984, -2130, -2310?
-2530
What is the next term in 944, 3593, 7964, 14057, 21872, 31409?
42668
What is next in 963, 2396, 3801, 5184, 6551, 7908, 9261?
10616
What comes next: -122, -59, 10, 55, 46?
-47
What is the next term in 24442, 24450, 24458?
24466
What comes next: 61629, 61646, 61663, 61680?
61697
What is next in 1084, 1868, 2652, 3436?
4220
What is next in -406, -534, -672, -826, -1002, -1206, -1444?
-1722
What comes next: 327, 316, 299, 276, 247?
212
What comes next: 129910, 259830, 389752, 519676?
649602
What comes next: -540, -679, -1044, -1743, -2884, -4575, -6924?
-10039
What comes next: -18834401, -18834400, -18834399, -18834398?
-18834397
What is next in -137929, -137932, -137935, -137938?
-137941
What is next in 3415, 3718, 4021, 4324, 4627, 4930?
5233
What is next in -409436, -818863, -1228280, -1637681, -2047060, -2456411, -2865728?
-3275005
What is next in 19600, 19612, 19624, 19636?
19648
What comes next: -23415, -23395, -23347, -23259, -23119, -22915?
-22635
What comes next: 25288, 50578, 75868, 101158, 126448?
151738
What comes next: -3259, -6520, -9791, -13078, -16387, -19724, -23095, -26506?
-29963
What is next in 138, 258, 352, 426, 486, 538, 588?
642
What is the next term in 332089, 664178, 996267?
1328356
What is next in 63, 157, 321, 561, 883, 1293?
1797
What is next in 346, 424, 636, 1048, 1726, 2736, 4144, 6016?
8418
What is next in -4017, -4029, -4041, -4053, -4065?
-4077
What comes next: 220, 666, 1416, 2476, 3852, 5550, 7576, 9936?
12636
What is next in -40, -1, 44, 95?
152
What comes next: 1694, 6988, 15880, 28370?
44458
What is the next term in -22762, -182156, -614790, -1457284, -2846258?
-4918332
What is next in -668, -639, -602, -557, -504, -443?
-374
What comes next: -10954, -43841, -98654, -175393, -274058, -394649?
-537166
What is the next term in 8, 14, 84, 266, 608, 1158?
1964
What comes next: 12791, 12847, 12903, 12959, 13015, 13071?
13127
What comes next: 7436, 14863, 22288, 29711, 37132, 44551, 51968?
59383
What is the next term in 231, 208, 173, 126, 67?
-4
What is the next term in 10362, 10365, 10362, 10347, 10314, 10257, 10170, 10047?
9882
What is next in -7556, -7578, -7624, -7706, -7836, -8026, -8288?
-8634
What is the next term in 10570, 10565, 10560?
10555
What is the next term in -154,
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 3*g(i) + 20*s(i)?
25*i**3
Let v(j) = -j + 2. Let w be (-27)/18 - (-10)/(-4). Let n be (-2 - 4)*2/w. Let a(g) = -2*g + 3. What is n*a(u) - 5*v(u)?
-u - 1
Let u(n) = -7*n**2. Let z(m) = -8*m**2. Give 5*u(h) - 4*z(h).
-3*h**2
Let q be 6*((-9)/(-3) - 2). Let m(b) = -5*b**2 + 5*b**2 + 4*b - q - 10*b**2. Let i(v) = -5*v**2 - 4 + 0*v**2 + 3*v - 2*v**2. Determine 7*i(y) - 5*m(y).
y**2 + y + 2
Let u(s) = -7*s + 1. Let o(q) = -q. Let c = 2 - -1. Suppose -16 = 4*p + 5*y - y, 0 = c*p + 5*y + 18. Determine p*u(z) + 5*o(z).
2*z - 1
Let a(c) be the first derivative of c**3/3 - c**2 - 8*c + 33. Let h(g) = g**2 - 2*g - 7. Let l = 6 + 1. Determine l*h(n) - 6*a(n).
n**2 - 2*n - 1
Let j(d) = -2*d**3 + 14*d**2 + 14*d - 14. Let l(c) = -5*c**2 - 5*c - 1. Let y(r) = -r**2 - r. Let o(i) = l(i) - 6*y(i). Determine 2*j(t) - 28*o(t).
-4*t**3
Let g(y) = y**3 - 6*y**2 + y - 3. Let u be g(6). Let f(j) = j**3 - j**2 - j - 1. Let s(m) = 5*m**3 - m**2 - 5*m - 3. Calculate u*f(h) - s(h).
-2*h**3 - 2*h**2 + 2*h
Let c(z) = 5*z + 8. Let w(f) = f + 2. What is 2*c(u) - 9*w(u)?
u - 2
Let s(x) = 2*x - 11. Let m(a) = -5*a + 32. Calculate 4*m(f) + 11*s(f).
2*f + 7
Let c(r) = 8*r + 6. Let w(o) = -o - 1. What is 5*c(a) + 35*w(a)?
5*a - 5
Let c(l) = -3*l**3 + 2*l**2 + 8*l. Let v(q) = 4*q**3 - 3*q**2 - 9*q + 1. What is 3*c(z) + 2*v(z)?
-z**3 + 6*z + 2
Let d(w) = -w**3 - w**2 + w + 1. Let c(l) be the second derivative of -3*l**5/10 - l**4/6 + l**3/2 + 3*l**2/2 + 2*l. Give -c(n) + 3*d(n).
3*n**3 - n**2
Let t(q) = 0 - 9*q + 0 - 7. Let u(l) = -4*l - 3. Let r(v) = -2*v - 7. Let j be r(-6). Calculate j*u(f) - 2*t(f).
-2*f - 1
Let i(f) = 3*f + 2. Let p(h) = h + 1. Let d = -6 - -12. Give d*p(a) - 3*i(a).
-3*a
Let p(a) = -a**3 + a + 1. Let x(l) = -l**3 + 4*l + 3. Let g(r) = -r**2 + 14*r + 36. Let v be g(16). What is v*p(d) - x(d)?
-3*d**3 + 1
Let t be -1*(-3 + 6)/3. Let b(s) = -s**3 - 4*s**2 + 4. Let w(y) = y. Let d(v) = -v**2 + v + 1. Let h(q) = -d(q) + w(q). Determine t*b(a) - 4*h(a).
a**3
Let f(k) = 3*k**3 + 3*k**2 - 5*k. Let h(u) = 3*u**3 + 3*u**2 - 4*u. Give 3*f(r) - 4*h(r).
-3*r**3 - 3*r**2 + r
Let k(o) = -2 - 4 + o + 5. Let r(t) = -t - 4. Let y be r(-5). Let u(l) = -2*l**2 - 4*l + 7. Calculate y*u(v) + 6*k(v).
-2*v**2 + 2*v + 1
Let y(s) = 5*s - 2. Let x = -3 - -21. Let a = -16 + x. Let p(d) = 4*d - 2. Let z(l) = 12*l - 6. Let g(t) = -14*p(t) + 5*z(t). What is a*y(r) - 3*g(r)?
-2*r + 2
Let v(h) = -2*h - 5. Let q be v(-4). Let t(u) = -2 + u**2 - q*u**2 + 0*u**2 + 4*u**2. Let m(z) = z**2 - 1. Calculate 5*m(x) - 3*t(x).
-x**2 + 1
Let o(h) = 2*h**2. Let x(c) be the first derivative of -10*c**3/3 - 11. Determine 16*o(i) + 3*x(i).
2*i**2
Let r(l) = l**2. Let n(c) = -6*c**2 + c + 1. Give -n(q) - 4*r(q).
2*q**2 - q - 1
Let y(r) = 10*r**3 + 8*r**2 - 8*r - 8. Let t(c) = c**3 + c**2 - c - 1. Let u(d) = -d + 9. Let a be u(8). Calculate a*y(i) - 8*t(i).
2*i**3
Let u(l) = -21*l + 11. Suppose 2*q + 37 = -3*o, 2*o + 1 = -4*q - 29. Let w(g) = 4*g - 2. Give o*w(y) - 2*u(y).
-2*y
Let u(a) = a**2 - a + 1. Let y(h) = 9*h**2 - 12*h + 2. Let d(w) = -4*u(w) + y(w). Let s(g) = 4*g**2 - 7*g - 2. Let i = 11 + -5. Calculate i*s(n) - 5*d(n).
-n**2 - 2*n - 2
Let h(c) = 3*c**3 - 2*c + 4. Let u(b) be the third derivative of -b**6/12 + 7*b**4/24 - 13*b**3/6 + 11*b**2. What is -7*h(n) - 2*u(n)?
-n**3 - 2
Let x(z) = 4*z + 1. Let r(w) = 2*w. Let s(d) = d. Let y(n) = 4*r(n) - 7*s(n). Determine 2*x(t) - 6*y(t).
2*t + 2
Let x be (-117)/39 + 4*1. Let g(o) = o - 1. Let v(p) = -7*p. Determine x*v(a) + 5*g(a).
-2*a - 5
Suppose -b - b = -g - 10, 16 = -3*g - b. Let s(h) = 7*h**2 - 5*h - 6. Let p(r) = -13*r**2 + 9*r + 11. What is g*p(o) - 11*s(o)?
o**2 + o
Let m(r) = 2 + 4*r + 2 - 2*r + 2 + 6*r**2 - 7*r**3. Let j = 20 - 14. Let x(a) = 6*a**3 - 5*a**2 - 2*a - 5. Determine j*x(c) + 5*m(c).
c**3 - 2*c
Let v(d) = 56*d + 5. Let u(c) = 19*c + 2. Calculate 8*u(p) - 3*v(p).
-16*p + 1
Let a(c) = c**2 - 16*c + 17. Let f be a(15). Let s(j) = f*j**3 - 8 + 3*j**2 - j**2 - 5*j**3 + 7*j**3. Let k(g) = -g**3 + 1. What is 6*k(i) + s(i)?
-2*i**3 + 2*i**2 - 2
Let o(x) = -x**2. Let f(h) = -6*h**2 + 8. Calculate f(p) - 4*o(p).
-2*p**2 + 8
Let a = 16 - 1. Let f(j) = -15*j + a*j - j**2 - 3. Let m(c) = 1. Determine -f(z) - 3*m(z).
z**2
Suppose -4*q + 0*q + 8 = 0. Let s(w) = 5*w**2 - 2*w**2 + w - 2*w**q - 1. Let t(o) = -5*o**2 - 6*o + 5. Suppose 4*m = 21 + 23. Give m*s(v) + 2*t(v).
v**2 - v - 1
Let i(g) = -10*g + 9. Let d(h) = -9*h + 8. What is -7*d(v) + 6*i(v)?
3*v - 2
Let h(y) = y. Let s(l) = -l - 2. Let v be s(-4). Let i(z) = 6*z + v - z**2 + 1 - 5. Let g(j) = j + 2. Let r be g(-3). Calculate r*i(b) + 6*h(b).
b**2 + 2
Let z = 1 - 3. Let v(p) = 3*p. Let f(q) be the second derivative of -2*q + 2/3*q**3 + 1/2*q**2 + 0. Give z*f(b) + 3*v(b).
b - 2
Let g(f) = 4*f - 5. Let q(s) = 23*s - 29. Determine 34*g(d) - 6*q(d).
-2*d + 4
Let z(n) = n**2 + 2*n - 7. Let u(t) = -3*t**2 - 9*t**2 + 17*t**2 - 36 + 11*t. Determine 2*u(a) - 11*z(a).
-a**2 + 5
Let d(q) = -11 + 4*q**2 - 3*q**2 - 6*q + 4*q**2. Let i = 5 - 7. Let j(p) be the first derivative of p**3/3 - p**2/2 - 2*p - 15. Determine i*d(f) + 11*j(f).
f**2 + f
Let w(b) = -9*b - 2. Let v(z) = 4*z + 1. Determine -10*v(j) - 4*w(j).
-4*j - 2
Let h(l) = 2 + 7*l - 2 - 3*l + 7*l**2 - 4. Let a(s) = -36*s**2 - 21*s + 21. Determine -4*a(f) - 21*h(f).
-3*f**2
Let s(t) = -6*t + 11. Let x(j) = 2*j - 7. Let q(c) = 6*c - 22. Let f(h) = -3*q(h) + 10*x(h). Calculate 8*f(a) + 3*s(a).
-2*a + 1
Let i(u) = 1. Let g(m) = 3*m - 10. Let o be g(3). Let a(p) be the second derivative of p**3/6 - 3*p**2 + p. Calculate o*a(w) - 6*i(w).
-w
Let l(y) be the second derivative of y**4/4 + y**3/2 - y**2/2 - 12*y. Let q(t) = -t**3 + t**2 + t - 1. Calculate l(n) - q(n).
n**3 + 2*n**2 + 2*n
Let y = 3 - 2. Let q(k) = 5*k**3 + 1 - 1 - 87*k**2 + 2 + 2*k + 83*k**2. Let v(x) = -x**3 + x**2 - x. What is y*q(a) + 4*v(a)?
a**3 - 2*a + 2
Let t(a) be the first derivative of -7*a**2/2 + 6*a - 15. Let k(r) = -2 + 4 + r - 1 - 2. What is -5*k(j) - t(j)?
2*j - 1
Let b(u) = 65*u**3 + 25*u**2 + 25*u - 25. Suppose z - 5*z + 11 = r, 0 = -2*z + 5*r + 11. Let l(g) = -8*g**3 - 3*g**2 - 3*g + 3. Calculate z*b(n) + 25*l(n).
-5*n**3
Let z(g) = 5*g - 4. Let u(v) = -20*v + 16. Let a(i) = -2*u(i) - 9*z(i). Let j = 0 + 3. Let d(m) = 9*m - 7. Determine j*d(r) + 5*a(r).
2*r - 1
Let y = 0 + 2. Let p(v) = 4 + 0 + 8*v - 5 - v**y + 5. Let o be -6*(2 + 2/(-2)). Let h(l) = l**2 - 7*l - 3. Calculate o*h(d) - 5*p(d).
-d**2 + 2*d - 2
Let d = 3 + 2. Let v(g) = -6*g - 4. Let y(n) = 3*n + 2. Let q(p) = d*y(p) + 3*v(p). Let r(s) be the second derivative of s**3/6 + s. Determine -q(x) - 2*r(x).
x + 2
Let y(q) = -6*q + 12. Let i(c) = 5*c - 11. Let g(v) = -4*i(v) - 3*y(v). Suppose 0 = -3*d + 4*d. Suppose 2*o + d = -12. Let w(m) = 1. Calculate o*w(b) + g(b).
-2*b + 2
Let f(z) = 9*z**3 - 2*z**2 + 2*z. Let b(p) = -19*p**3 + 4*p**2 - 4*p. Determine -4*b(o) - 7*f(o).
13*o**3 - 2*o**2 + 2*o
Suppose -5*x = -3*x + 10. Let s(m) = m**3 - 12*m + 12*m + 3 + m**2 - 4. Let y(c) = -4*c**3 - 4*c**2 + 4. Give x*s(h) - y(h).
-h**3 - h**2 + 1
Let h(x) = 4*x**2 - 7*x - 7. Suppose y - 5 = 1. Let u(r) = -3*r**2 + 6*r + 6. Give y*u(n) + 5*h(n).
2*n**2 + n + 1
Let i(j) = 8*j - 5. Let c(o) = o - 1. Let v(k) = -6*c(k) + i(k). Let r(l) = -l - 1. Give 3*r(b) + 2*v(b).
b - 1
Suppose 34 + 213 = -19*m. Let d(c) = 7*c**2 + 6*c - 6. Let a(z) be the second derivative of -5*z**4/4 - 13*z**3/6 + 13*z**2/2 + z. What is m*d(r) - 6*a(r)?
-r**2
Let s(t) = -3*t**3 - 2*t**2 - 2*t - 1. Let q be s(-1). Let n(y) = y**2 - 4*y + 3*y + q*y + 5. Let r = -11 - -8. Let p(v) = -v - 4. Give r*p(x) - 2*n(x).
-2*x**2 + x + 2
Let u = -4 + 42. Suppose 4*m = u - 14. Let v(g) = 7*g + 2. Let p be 0 + 4 + 1 + 0. Let h(d) = -8*d - 2. What is m*v(n) + p*h(n)?
2*n + 2
Let k(j) = -j + 1. Suppose o + 4*o + 1 = -4*t, 4*t + 4*o = -4. Suppose 2*q - 7 = 5. Let s(d) = -4 + q*d - 1 + 0*d. Calculate t*s(w) - 22*k(w).
-2*w - 2
Let d(f) = -9*f**3 - 6*f**2 - 2. Let h(c) = -c**3 - c**2. Let b(q) = -d(q) + 6*h(q). Let l(s) = 2*s**3 - 4 - 6*s**3 + 5 + 5*s**3. Determine -b(t) + 2*l(t).
-t**3
Let j(p) = -9*p**2 - 11*p - 11. Let b(h) = 5*h**2 + 6*h + 6. Suppose 5*w + 1 - 21 = 0. Let q = 7 - w. Suppose 3*d = 21 - q. Calculate d*j(f) + 11*b(f).
f**2
Let k(z) = z + 1. Let b(r) =
|
{
"pile_set_name": "DM Mathematics"
}
|
en.
20
Let w = -5.671052 - -5.67. What is w rounded to four decimal places?
-0.0011
Let x = 1644 - 1644.0032. Round x to one decimal place.
0
Let v = 336 - 350.1. Let g = v + -56.9. Let n = g + 79.4. Round n to the nearest integer.
8
Let d be 27/5 - (-4)/(-10). Suppose j = -d*o - 800, -497 = 3*o - j + 5*j. Let f = o + 69. What is f rounded to the nearest 100?
-100
Let g(x) = x**3 + 5*x**2 - 6*x + 3. Let s be g(-6). Suppose 0 = 2*l + y - 1774, -l + 2*y - s*y + 885 = 0. Let o = l + -559. Round o to the nearest 100.
300
Suppose -o = -11691710 - 308290. Suppose n - o = 2*s - 0*s, -s = 0. Round n to the nearest one million.
12000000
Let v be (0 - (-8 + 2)) + (-3 - 0). Suppose -2*n + 2*o - 739996 = 0, 1480006 = v*n - 7*n - 3*o. Round n to the nearest one hundred thousand.
-400000
Let b(x) = 14373*x + 16. Let z be b(8). Round z to the nearest 10000.
120000
Let y = -925157710.51168271071930878 - 0.28831886928069122. Let w = y + 925157726. Let x = w + -15.2. What is x rounded to 7 decimal places?
-0.0000016
Let r = 22 + -19. Let b be -2 + 0 + (r - 148). What is b rounded to the nearest ten?
-150
Let v = -2.6507826 + 2.651. Round v to six dps.
0.000217
Let b = 5 - 4.55. Let o = -0.71 - -0.98. Let d = o + b. Round d to 1 decimal place.
0.7
Suppose 4*w + 2*x = -273 - 671, 1179 = -5*w - 3*x. Let y = w + 470. What is y rounded to the nearest 10?
230
Suppose -2*d = 12 + 2. Let h = 7 + d. Suppose h*v + 2*v = 0, -3*v = -n + 80000. Round n to the nearest 100000.
100000
Suppose 4*z = 2*z + 446. Let m = z + 1. What is m rounded to the nearest 100?
200
Let b = 8 + -8. Suppose b*v = -v + 5. Let m be ((-4)/v)/(8/(-620)). What is m rounded to the nearest ten?
60
Let j = -323 - -323.0584. Round j to two decimal places.
0.06
Suppose 2*c = 4*c - 66. Let r(l) = c + 7843*l + 6691*l + 59219*l - 9. Let i be r(-8). Round i to the nearest one hundred thousand.
-600000
Let j = -472 - -472.001436. What is j rounded to five dps?
0.00144
Let x = 6.734437 + -7.6344464. Let g = 8.1 - 9. Let c = g - x. What is c rounded to six decimal places?
0.000009
Let l = 12267.6 + -13412. What is l rounded to the nearest ten?
-1140
Let f = -3481 + 3261.3. Round f to the nearest 10.
-220
Let r(h) be the third derivative of -9499*h**5/60 - h**4/6 + 2*h**3/3 + 23*h**2. Let j be r(2). Round j to the nearest one thousand.
-38000
Let w = -0.712911 - -1.4528263. Let i = 0.74 - w. What is i rounded to 5 decimal places?
0.00008
Let g = 0.0402 + 24.8598. Let x = g - 23. Let t = x + -1.89983. Round t to 4 dps.
0.0002
Let y(a) = 3157*a**3 - 13*a**2 - 37*a + 13. Let v(f) = f**3 - 7*f**2 + 4*f - 17. Let j be v(7). Let z be y(j). What is z rounded to the nearest 1000000?
4000000
Let j(z) be the first derivative of -23*z**3/3 - 3*z + 17. Let r be j(3). What is r rounded to the nearest 100?
-200
Let v(q) be the first derivative of 2100925*q**3/3 - q**2/2 + q - 1. Let z be v(2). Let o = z + -5583699. What is o rounded to the nearest 100000?
2800000
Let a = -11.90971 + 0.20736. Let w = a - -1.70805. Let t = 10 + w. What is t rounded to three decimal places?
0.006
Let b(q) = 11*q**2 - 3*q + 3. Let a be b(1). Suppose 0 = -2*l + g + 2*g - a, 4*g - 16 = 2*l. Let h be (6 + -316506)*l/3. Round h to the nearest ten thousand.
-210000
Suppose 2*y - 337 = -a + 66, 4*a - 5*y - 1625 = 0. Let q = a + -229. Round q to the nearest 10.
180
Let k = 0.421 + -0.4209661. What is k rounded to six decimal places?
0.000034
Let m(c) = -2*c**3 - 6*c**2 - 12*c + 12. Let o be m(-6). Suppose -2*n + 95 = 5*j + o, 0 = -5*n + 3*j - 559. Round n to the nearest one hundred.
-100
Let z = 6672.16849 - 6672. Round z to 3 decimal places.
0.168
Let u = -80716.33179 - -80715. Let c = -1.33 - u. Round c to 4 decimal places.
0.0018
Suppose -4*m + 40 = z + 8, -5*m + 4*z + 61 = 0. Let a be 6*6/m + 9996. What is a rounded to the nearest 1000?
10000
Let r = -8.28 + 8. Let s = r + 2.63. What is s rounded to 1 decimal place?
2.4
Let p = -11.298 + 0.578. Let z = -10 - p. What is z rounded to one dp?
0.7
Let v = 287520.338045 + 0.661955. Let u = 287548.9933 - v. Let i = 28 - u. Round i to three decimal places.
0.007
Let h = 353920 - 353878.00025. Let d = h - 42. What is d rounded to 4 decimal places?
-0.0003
Let w = -5.29 - -4.6. Let b = w - -0.99. What is b rounded to the nearest integer?
0
Let k = -25.8 + -7.2. Let m = 584 - 550.9. Let h = m + k. What is h rounded to two dps?
0.1
Let q = -3.44 + 2.37. Let z = -0.11 + q. What is z rounded to 1 dp?
-1.2
Let x be -5 + 2326659/(-21) + (-4)/(-14). Let u = x + 163798. What is u rounded to the nearest 10000?
50000
Suppose 4*s = -2*m + 5*s + 24, 4*s = 16. Suppose 0 = -m*k + 5677290 - 483290. What is k rounded to the nearest ten thousand?
370000
Let i = 2953 + -2947.644. What is i rounded to the nearest integer?
5
Let d = 0.417 + -1.679. Let t = d + -1.092. Let x = t + 0.214. What is x rounded to one decimal place?
-2.1
Let g = 8.0000201 + -8. What is g rounded to six decimal places?
0.00002
Let n = 6.934 - 7. Let r = 1.644 - n. Let y = -0.95 - r. What is y rounded to one decimal place?
-2.7
Let a = 50.6 - 50.58598. What is a rounded to three decimal places?
0.014
Let m = -0.12404 - -0.033. Round m to 2 dps.
-0.09
Let l = -2933726.997 - -3023984.69704. Let g = 90260 - l. Let j = -2.3 + g. What is j rounded to 4 dps?
0
Suppose 14624 = 8*u - 1928. Suppose 2*t = -2*a + 3070, -4*a + u = -5*t - 4026. Round a to the nearest 100.
1500
Let w(y) = y**2 + 12*y + 20. Let p be w(-10). Suppose p = -4*d - 3*u + 4*u - 9683, 0 = -4*d + 3*u - 9689. What is d rounded to the nearest one hundred?
-2400
Let o = 2.6908 - -19056.3092. Let c = o + -19058.81974. Let a = -0.18 + c. What is a rounded to four decimal places?
0.0003
Let n = -405 - -405.323. Let x = -0.129 + n. What is x rounded to two decimal places?
0.19
Let w = -285 + 291.54. What is w rounded to the nearest integer?
7
Let d = -0.201 - -0.441. What is d rounded to 2 decimal places?
0.24
Suppose -3 = 4*j - 15. Suppose 736615 = -j*g - 28385. What is g rounded to the nearest ten thousand?
-260000
Let g = -7 + 10. Suppose -17*j + 15*j - 4 = 0. Let p be 0 - j - 219999 - g. What is p rounded to the nearest 100000?
-200000
Let u = -6.644 - -0.044. Let d = u + 6. Let j = d + 0.60004. What is j rounded to 5 decimal places?
0.00004
Let m = -19 - -23. Suppose 196 = -m*t + 5676. Suppose 6*y - t = 6490. Round y to the nearest 100.
1300
Let s = 58855 - -10084. Suppose 177339 - s = -4*x. Round x to the nearest 1000.
-27000
Let g be ((-192)/7 + 0)/(142/(-72375625)). What is g rounded to the nearest one hundred thousand?
14000000
Let l = 2034.9021 - 2035. Round l to two decimal places.
-0.1
Suppose 0*x - 5 = -5*x. Suppose 3*d = -k + x, -5*d = -4*k - 0*d - 47. Let f be 78/(k/(-4)) - 2. What is f rounded to the nearest 10?
40
Let g be (-108)/(-16) - 0 - 9/12. Let t(y) = 11 + 0 + 2*y - 10*y. Let d be t(g). Round d to the nearest 10.
-40
Let s = -2004.997418 + 2005. What is s rounded to three dps?
0.003
Let k(b) = 4*b - 2. Let q = 2 - 5. Let v be k(q). Let y be (-6)/v - (-12)/(-28). What is y rounded to two decimal places?
0
Let i = 4807.309 - 4813. Round i to 1 dp.
-5.7
Let o = 0.03459566 - 0.0346. What is o rounded to six decimal places?
-0.000004
Let g = -9 - -33. Let s = g + -36. Let o = s - -11.999944. Round o to five dps.
-0.00006
Let t = -3.209 + 5.0711. What is t rounded to one decimal place?
1.9
Let b = -0.012 + -1.388. Let p = 2.566 + -4.1. Let r = b - p. Round r to two dps.
0.13
Let w = -1031 - -971.48. What is w rounded to the nearest 10?
-60
Let b = 4468.302 + -4473. Let y = 3.67 + b. Let i = -1 - y. Round i to 2 decimal places.
0.03
Let k = 2.7 + -3.18. Let t = k - -0.479958. What is t rounded to 5 dps?
-0.00004
Let g = -195309831 + 22089511. Let l = -173220309.9999959 - g. Let u = l - 10. What is u rounded to six decimal places?
0.000004
Suppose -5*i = -8 + 23. Let y = i + 3. Suppose 4*f - t = t + 9604, y = -2*f - 3*t + 4794. Round f to the nearest 1000.
2000
Let o = 64 + -74. Let i = -37.3 - o. Round i to zero decimal places.
-27
Let c = -9.849 + 10.01. Round c to two decimal places.
0.16
Suppose 5*u = -10, 161*p - u = 157*p - 26115998. Round p to the nearest 100000.
-6500000
Let c = 12.349 - 12.34905791. What is c rounded to five decimal places?
-0.00006
Let d = -2236 - -3361.
|
{
"pile_set_name": "DM Mathematics"
}
|
f - 59. What is the smallest common multiple of -2 - (-4 + 2) - -2 and c?
2
Let s = 2177 - 2151. Suppose n = 5*u - 88, -3*u - 62 = -7*u + 5*n. Calculate the least common multiple of u and s.
234
Let x(w) = w**2 + 2*w - 7. Let r be x(6). Let a = r - 29. What is the least common multiple of 3 and a?
12
What is the common denominator of -13/30 and ((-2926)/48)/19 - -5?
120
Let c(u) = -5*u**2 + 15*u + 3. Let t(p) = 24*p**2 - 74*p - 16. Let y(o) = 14*c(o) + 3*t(o). Calculate the least common multiple of 11 and y(7).
88
Let i(g) = g**2 + 11*g - 55. What is the smallest common multiple of i(4) and 40?
40
Suppose 3*i - 236 + 62 = -3*c, 0 = -5*i + 4*c + 326. Suppose -5*o - 93 = -4*a, -3*o - i = -3*a - 7*o. Calculate the least common multiple of 2 and a.
22
Let c be (-20)/15*(2 + -11). Let a = c - -8. Suppose z - 48 = -2*z. What is the smallest common multiple of z and a?
80
Let j be (1 - 2) + 0 - -1. Suppose -10*y - 18 + 68 = j. Let c = 8 - 6. What is the smallest common multiple of c and y?
10
What is the least common multiple of 40 and (-4)/(-3) - (-15 + 247/39)?
40
Let b = -125315/21 - -5969. What is the common denominator of b and -35/57?
399
Let x(v) = v + 24. Let i be x(-8). Let h = i + 28. Calculate the smallest common multiple of h and 10.
220
Let j(q) = 5*q - 1. Let u(g) = -207*g**2 + 2*g + 2. Calculate the least common multiple of j(3) and u(0).
14
Let o(d) = -d**2 + 9*d + 18. Suppose -z + r - 6 + 20 = 0, -4*r = -z + 26. Calculate the lowest common multiple of o(z) and 14.
56
Suppose 3*c + 35 = 8*c. Let a be (-20)/150 - (-154)/30. Let q = c + a. What is the lowest common multiple of q and 18?
36
Calculate the common denominator of 85/22 and (-10)/25 + (-4)/((-3200)/628).
2200
Let r be (-5309)/((-3)/(-54)*-3). Let b = -1146869/36 + r. Calculate the common denominator of -13/20 and b.
180
Let k = 677 + -662. Calculate the lowest common multiple of 105 and k.
105
Suppose -131 = 4*i - 5*i - 5*p, 649 = 4*i - 5*p. What is the lowest common multiple of i and 2?
156
Suppose 1793 = 49*j + 323. Suppose 25 = f + 4. Calculate the lowest common multiple of j and f.
210
Let a = 11057/42549 - 6059967253/23401950. Let f = -5617/22 - a. Let b = f + -68/15. Find the common denominator of -44 and b.
25
Let l = -153 - -209. Calculate the least common multiple of l and 21.
168
Let x = 571/585 + 176/65. Let i = 86/39 + x. Calculate the common denominator of i and 46/63.
63
Let d be 5*(36/(-60))/(3/4). What is the lowest common multiple of 18 and (12/(-16))/(1/d)?
18
Let y(f) = -f**3 - 5*f**2 - 8*f - 3. Let x be y(-5). Let i = x - 17. Let l(k) = 2*k - 6. Calculate the lowest common multiple of l(6) and i.
60
Let n be ((-1587)/(-4))/(-21 + 18). Let i = 297/2 + n. Let l = -61429/28 + 2193. Find the common denominator of i and l.
28
Suppose 2*b = -2*i - 0 + 12, -3*b - 4*i + 14 = 0. Let p(q) = q**2 - 11*q + 12. Suppose -2*x + 7 + 21 = 0. Calculate the least common multiple of p(b) and x.
14
Let v(o) = 9*o**3 - o. Let d be (-4 - -1)/1 + 4. What is the lowest common multiple of v(d) and 2?
8
Calculate the common denominator of (-240)/360 - 1966/(-2400) and 27/8.
400
Suppose 13*n - 456 = -25*n. What is the smallest common multiple of 120 and n?
120
Suppose 340 = k - 62. What is the common denominator of -59/9 and k/(-18) + (-2 - (0 + -1))?
9
Suppose t + 0*t - 52 = -4*c, -3*t + 3*c + 81 = 0. Suppose 0 = k + 3*k + t. What is the common denominator of 131/12 and (-2)/k + (-231)/(-14)?
12
Let d be ((-3)/6)/(4/16*-1). Suppose -2*t - p - 53 = 0, 0*t - 77 = 3*t + d*p. Calculate the common denominator of 43/114 and t.
114
Let a be (-63)/(-84) + (-3779)/12. Let r = a - -297. What is the common denominator of -23/2 and r?
6
Let j(o) be the first derivative of 2*o**3/3 + 7*o**2/2 - 9*o + 7. Calculate the smallest common multiple of j(3) and 30.
30
Let q = -5108 - -9505. Let f = q + -52633/12. Let a = 4882/5 - 29657/30. Calculate the common denominator of f and a.
12
Calculate the common denominator of (-1625)/(-624) + (-36)/9 and 5/222.
1776
Suppose 0 = -r - 4*h - 111, 2*r = 5*r - 5*h + 282. What is the common denominator of -55/28 and (r/6)/((-72)/(-44))?
84
Let x = -23128/13 + 1780. What is the common denominator of x and 13/2?
26
Let h = 2971/1032 + -165/43. What is the common denominator of -89/222 and h?
888
Suppose 49 = -d + 18. Calculate the common denominator of -97/22 and (d - 0/5)/(-8).
88
Let s be -6 - 1009 - (-3)/(-3). Let f = s - -3011/3. Calculate the common denominator of f and -29/35.
105
Calculate the common denominator of (71/(-16))/(8/2 + -3) and -77/212.
848
Suppose b = 3*b - 14. Suppose 11*i - 8 = b*i. Suppose -h + 48 = 3*h. What is the least common multiple of h and i?
12
Let o = 45 - 81. Let k = -32 - o. Calculate the lowest common multiple of k and 24.
24
Let l(y) be the second derivative of y**5/20 - y**4/3 + 2*y**3/3 - 3*y**2 - 19*y. Calculate the least common multiple of 2 and l(4).
10
Calculate the common denominator of 81/4 and 18/15 - (-1707)/(-210).
28
Let g(a) = 4*a - 22. Let n(s) = 3*s - 15. Let f(p) = 5*g(p) - 7*n(p). Let k be f(-5). Find the common denominator of 119/20 and (-141)/(-96)*(1 + k).
160
Let f = 60 - -44. Let u = f + -96. Calculate the least common multiple of u and 12.
24
Suppose -3*l - 280 = 7*l. Calculate the common denominator of (-2 - l/72)*(-2)/(-3) and -9/8.
216
Let w = 52842397/21516 - 18861/652. Let f = w - 42288/11. Let v = -263441/186 - f. Find the common denominator of v and 81/20.
620
Let z = -12873/8 + 1614. Find the common denominator of 51/18 + 2 + -5 - 11 and z.
24
Let j(p) = 494*p + 14. Let m be j(4). Let o = -27843/14 + m. Calculate the common denominator of o and -25/26.
182
Let y = 253 + -59. Calculate the least common multiple of y and 18.
1746
Calculate the common denominator of 52/5 and ((-5)/((-30)/(-4)))/((-8)/(-6)).
10
Suppose 66 = -z + 21. Find the common denominator of (z/(-18))/((-7)/2) and (-35)/6*60/(-63).
63
Let r = -32611/2870 + 18/287. Calculate the common denominator of r and (268/(-30))/(28/(-35)).
30
Let c be 0 + 1 - (6 - 3). Let b be (-2 - (c - -64))*1. Calculate the common denominator of (-3 - b)/(2 + -4) and 45/11.
22
Let f = 21 + -16. Suppose 0 = -5*x - 5, -f*m + m - 3*x = -37. Suppose m = -4*w + 90. Calculate the smallest common multiple of 4 and w.
20
Let j(k) = -2*k + 34. Let p = -508844 - -145020752/285. Let s = p + -5/114. Find the common denominator of j(-5) and s.
10
Let d = -208 + 224. Calculate the smallest common multiple of d and 32.
32
Let c(s) = 74 - 116 - s + 59. Suppose -3*w - 4*j + 8 = 0, -w - 3*j = 2*j + 12. Calculate the smallest common multiple of 7 and c(w).
63
What is the least common multiple of 1055/50 + ((-4)/2)/20 and 33?
231
Let u = -2044729/99 + 20653. Calculate the common denominator of u and -95/72.
792
Suppose -5*t + 5*d + 30 = 0, 3*t - 4*d + 0*d - 20 = 0. Suppose 14571 - 551 = -t*y. Let f = y - -49185/14. Find the common denominator of -83/12 and f.
84
Let q(t) = t**2 - 2. Let h be q(1). Let y = h - -15. What is the least common multiple of 4 and y?
28
What is the least common multiple of (132/(-10))/(90/(-1950)) and 130?
1430
Suppose 0 = -5*x + 14 + 106. What is the smallest common multiple of 0 + (23 - (-95)/(-5)) and x?
24
Let d be -16 + -68 + 4/(-1). Find the common denominator of (-540)/d + 2 + -4 and -27/14.
154
Let l = -3263 + 3283. Calculate the least common multiple of ((-2)/3)/((-1)/12) and l.
40
Let x be (40/(-30))/(4/(-6)). Suppose -x*l = -l. Suppose 48 = -l*n + 3*n + 3*p, -5*p = n - 36. Calculate the lowest common multiple of n and 7.
77
Let b(q) = q**2 - 11*q - 70. What is the smallest common multiple of b(16) and 8?
40
Calculate the least common multiple of 11 and 24/3 + 2 - -8.
198
Suppose -7*b + 29 = 1. Suppose o = -3*f - 4, 8*f = o + 7*f - b. Calculate the least common multiple of o and 15.
30
Let l = -9 + 14. Let x = l + -1. Suppose -c + f + 2 = 0, -c + 4*f = 7 - 9. What is the smallest common multiple of x and c?
4
Let d be (-28004)/(-7784) - 4/6. Let w = -1/417 + d. Find the common denominator of ((-26)/80)/((-3)/(-12)) and w.
70
Calculate the common denominator of 25/176 and (-91)/(-132) - 2/(48/18).
528
Suppose 0 = 4*n - 3*i - 210, 2*n - 110 = -i - 0*i. Suppose w - n = 4. What is the smallest common multiple of w and 22?
638
Calculate th
|
{
"pile_set_name": "DM Mathematics"
}
|
14*s, 4*s + 1968 = -4*y. Let p = 2442/5 + y. Which is the nearest to 0? (a) -2/5 (b) -2.7 (c) p
a
Let y = -5968.88 - -5969. Which is the closest to 3? (a) 4 (b) y (c) 1/3 (d) -2
a
Let v = -14046 - -14041. What is the closest to 9/7 in 2/5, 8/7, v, -0.5?
8/7
Let h = -0.07395 - -0.27395. Which is the nearest to h? (a) -1/4 (b) 3.2 (c) -3
a
Let s = -728601 - -728603. Let y(q) = -q - 8. Let p be y(-6). Let o be p/(-8) - (-6)/(-88). Which is the nearest to s? (a) o (b) 0.3 (c) 0.1
b
Suppose 13*d - 3*d + 10 = 0. Let h be (-1 - d)/5*-1. Suppose 0 = -6*o - h*o - 18. What is the closest to 0.2 in o, 0.7, -5?
0.7
Let l = -2 + 7. Let d = -49 - l. Let h = d - -58. What is the closest to 0.1 in -5/6, 0, h?
0
Let q be (-11)/(-462)*12 + (-246)/4. Let p = q - -432/7. Which is the nearest to -2/3? (a) -5 (b) -3 (c) p
c
Let t = 313 + -287. Let q = t + -26.05. What is the nearest to 1/5 in -3, q, -1/5?
q
Let r = 3 + 2. Let p = 86 + -214. Let v = p - -129. Which is the closest to v? (a) 4 (b) -1 (c) r
b
Suppose -416 = 2*j + 5*s - 454, 5*s = j + 26. Which is the nearest to 0.3? (a) j (b) 0.08 (c) 2 (d) -0.4
b
Suppose 0 = 38*y + 32 + 120. Which is the closest to y? (a) 0.4 (b) -2/3 (c) 1
b
Let j = -0.4 + 0.7. Let l = 34337 - 309037/9. What is the nearest to -2.2 in 1/4, l, 0.1, j?
l
Let j = 15 + -11. Let u = 3.5 - j. Let r = 1304.5 + -1304.3. Which is the nearest to -1? (a) u (b) 1/7 (c) r
a
Let g = -1.881 - -1.9. Let m = -1943 - -1943.081. Let x = g + m. Which is the closest to 0.1? (a) x (b) 0.3 (c) -1
a
Suppose -f = 6*f + 28. Let o be f/(-14) + (-2)/7. Let q = 8 + -9. What is the nearest to o in -0.3, 0.11, q?
0.11
Let d be ((-1)/(-4))/((-12)/32). Let p = 397 - 400.85. Let z = -4.25 - p. What is the nearest to -0.2 in d, -1, z?
z
Let n be 1521/91 + 2/7. Suppose 3*o + n = -3*w - 2*o, -2*w - 7 = -o. What is the nearest to -2/29 in w, -1, 2/7?
2/7
Let t = 289 - -58. Let j = t + -345. What is the closest to -13 in j, 3/5, 3?
3/5
Let k be (-30 + (-738)/(-24))/(((-18)/8)/(-1)). Let i = -6 + 8. Which is the nearest to k? (a) 5/4 (b) i (c) 0
c
Let l = -225.9 + -58.1. Let v = l + 284.2. What is the nearest to 2 in -4, v, -0.2?
v
Let l = 179.13 - 179.13. What is the nearest to -5 in -2/21, -6, l, -2/7?
-6
Let x = -5.12 + 5. Let l = 37.12 - 38. Let w = x + l. Which is the closest to w? (a) -4 (b) -0.4 (c) 1/2
b
Let u = 9 - 42. Let w = 33.808 + -0.708. Let p = u + w. What is the nearest to p in -5, 2, 0.1?
0.1
Let p = 120 + -80. Let g be (p/(-60))/(16/30). Let s = -34 + 34.1. Which is the nearest to s? (a) g (b) -1 (c) 0.03
c
Let g = 1.3 - 1. Let i = 2720 + -2721.943. Let r = i - 0.057. Which is the closest to r? (a) g (b) -0.4 (c) 2/3
b
Let c = -4 - -4. Suppose -4*i + 12 = 2*i. Let w be (-1)/(i + (-10)/8). What is the closest to c in -2, w, -0.4?
-0.4
Let b = -79.32 - -79.1. What is the closest to -1/4 in b, -1, -0.2, 0.2?
b
Let n = -104/5 + 21. Let q = 1.2241 - 10.2241. What is the nearest to q in -0.2, n, 0.3?
-0.2
Let p = -2 + 3/2. Suppose -3*u = -2*u - 3. Let b = 406/57 + -425/57. What is the closest to b in u, p, -2/9?
-2/9
Let x = -0.2 + 0.2. Let m = -21/4 - -11/2. Let n = -0.036 - -1.036. What is the nearest to x in m, n, 2?
m
Let h = -0.08713 + 0.48713. Which is the nearest to 1? (a) -0.5 (b) -15 (c) h (d) -1
c
Let r = -0.7 + 0.3. Let c = 0.4 + r. Let y = 17976 + -17974. What is the nearest to 21 in y, c, 1?
y
Suppose 0 = 6*w + 6 - 0. Suppose -4*x = -t - 19, -4*x - 5*t + 10 + 15 = 0. What is the nearest to w in -0.1, x, 0, 1/5?
-0.1
Let s be (-220)/414 + (-1204)/(-2709). What is the nearest to 2/5 in s, 4, 0?
0
Let m = -0.3 + 0.5. Let t be 15904/15840 - 10/45 - (-6)/(-10). What is the closest to 0.2 in m, 2/5, 0.1, t?
m
Let c = 0.07 - 0.37. Let b = 0.2 + c. Let f = -54941 - -219761/4. What is the closest to b in f, 0.5, -4/5?
0.5
Let s = -37522 - -37525. Let t(m) = -2*m + 2. Let u be t(3). Let r = u - -5. Which is the nearest to -1? (a) r (b) s (c) 2/5
c
Let p = -0.6376 - 7.3624. Which is the nearest to 1? (a) -3/2 (b) -1 (c) p
b
Let j = 272 + -293. Let v be j/126 - (-19)/6. Which is the closest to -2? (a) 5 (b) -0.1 (c) v
b
Let i = -17432 - -17433.5. Which is the nearest to 55? (a) i (b) 0.1 (c) -1
a
Let h = 1442/10047 - 36/197. Which is the closest to 4? (a) h (b) 0.2 (c) -1
b
Let l = 3738 - 3742. Which is the nearest to l? (a) 2 (b) -0.1 (c) -0.5
c
Let q = 67.25 - 72.25. Which is the nearest to -0.06? (a) 6 (b) q (c) -0.6 (d) -3
c
Let d = 0.8508 + -0.6408. What is the nearest to 0 in 9, 5, d, -3?
d
Let k = 136.55 + -129.6. Let i = 7.05 - k. Let v = 1.03 - 1. Which is the closest to i? (a) v (b) -0.2 (c) -0.1
a
Let f(h) = -h**2 + 11*h - 28. Let l be f(5). Let n be (15/(-75))/(l/(-14)). Which is the nearest to 0? (a) -3/8 (b) n (c) 3
a
Let i = -208328 - -208328.1. Let s = 10 + -6. Suppose n = -n - s. What is the nearest to i in n, 0.4, -4?
0.4
Let k = 1231 + -1235. Let a = -6 + 3. Let m be a - (1 + 11/(-2)). What is the closest to -1 in m, k, 0.1?
0.1
Let h be (7 + -8)/((-3)/(-38051)). Let s = -12799 - h. Let n = -115 - s. What is the nearest to 0.06 in -0.2, n, 4?
-0.2
Let z = -22 - 7. Let c = z + 26. Let n = 78 + -77.88. What is the closest to 2/3 in -0.3, c, n?
n
Suppose r - 3*r = -4. Let u = -7965.5 - -7965.9. Which is the nearest to 0? (a) r (b) u (c) -16
b
Suppose -20 = -0*d + d + 4*g, 0 = 5*d - 3*g + 8. Let c = 5198 - 5198. What is the nearest to 2/7 in d, -0.4, c?
c
Let a be (-2 - (-9)/(-18))*(-3)/(-10). Let w = 468.8 - 469. What is the nearest to w in a, -2, 2, 1/3?
1/3
Let d = 234 - 222. Let v = 8 - d. What is the closest to 0.3 in 1/8, 1/5, v?
1/5
Suppose 11 = -2*r + 7 + 6. What is the closest to -0.04 in 0.4, r, -1.1?
0.4
Let k = 112/23 + -5. Let w(p) = 2*p - 7. Let f be w(3). What is the nearest to 1 in f, 2, k?
2
Suppose 2*l - 4*l - b = -20, 4*l - 32 = 2*b. Let g = 19 - l. Let u be (-6)/g - 16/(-60). What is the closest to 1 in 2/11, -5, u?
2/11
Let k = -1.66 + 40.66. Let o = -39.03 + k. Let i be 1/4 - (-11)/(-76). Which is the nearest to -2/9? (a) -2 (b) o (c) i
b
Let g be (-1)/6 + 131/(-24). Let p = g - -209/40. Suppose u - 5 = -2*f, 3*f + 4*u - 2*u - 9 = 0. Which is the nearest to p? (a) -5 (b) f (c) 0
c
Let p = -53.6 + 53.871. Let n = p + 0.229. What is the nearest to -2/9 in -5, n, 5?
n
Suppose 9508 = 14*o + 9564. What is the closest to -1/2 in 0.1, -1, o, -165?
-1
Let y = -0.345 - -0.03. Let m = 0.185 - y. Which is the closest to -0.1? (a) -2 (b) m (c) 4
b
Let m = -1359 + 1362. What is the nearest to -44 in m, -2/9, -2/11, 2?
-2/9
Let u(h) = -h**2 - 52*h - 8. Let s be u(0). Which is the nearest to -8? (a) -2 (b) -5 (c) s
c
Let q(u) = u**3 + 79*u**2 + 6*u + 474. Let f be q(-79). Let p = 2.01 + -0.01. Which is the nearest to p? (a) f (b) 0.4 (c) -3
b
Let l = 427 - 602. Let u = l - -175.3. Which is the nearest to u? (a) 6 (b) 0.1 (c) 1/7
c
Let h = 1 + -1.4. Suppose -81 = 25*f + 19. Let z be (-3)/2*6/(-36). Which is the closest to h? (a) f (b) -3 (c) z
c
Let l be -174*2*2*3/(-36). Let n = l - 44. What is the nearest to 1/3 in -2/3, -1/2, n?
-1/2
Let p = 1.2 + -0.2. Let m = -2473/930 - -721/310. What is the nearest to 1/4 in m, p, 0.08?
0.08
Let i = 0.6 + -1. Let f(y) = 8*y + 61. Let n be f(-6). Suppose n = -5*l - 2, -5*s + l + 18 = 0. Which is the nearest to 0.4? (a) -2/9 (b) i (c) s
a
Let j = -1.9 - -2. Let x be (-2)/((-6)/4 + 1). Let i = 2240 - 2242. What is the closest to x in j, -5, i?
j
Let q be 11*(-7)/(-693) + 687/(-6912). What is the nearest to 0.1 in 5, -3/4, q?
q
Let x = 0 - -5. Let w = 5 - x. Let k = 348497/7 + -49785. What is the closest to -5 in w, 4, k?
w
Let o = 3.46 - 3.4381. Let c = o - 0.9279. Let w = c - 0.094. What is the nearest to 1 in 2/7, w, -2/11?
2/7
Let l = 0.314 - 179.314. Let n = -177 - l. Let u = 48 + -143/3. Which is the nearest to n? (a) 2 (b) 0 (c) u
a
Let y = -132 + 136.76. Let o = 4.6 - y. Let p = o + 0.26. What is the nearest to 0 in 1, -0.6, p?
p
Let g = -3.083 - 0.687. Let f = 9.77 + g. Which is the nearest to 1? (a) f (b) -1/3 (c) -2/7
c
Let t be 8/(176/(-15)) + 2/4. Let r = -50/33 - t. Which is the closest to 1/5? (a) -1/9 (b) r (c) 0.04
c
Let a = -6.4 + 9. Let s = a + 0.4. Let q = 7856 + -785
|
{
"pile_set_name": "DM Mathematics"
}
|
n = -109 - k. What is the remainder when n is divided by o?
12
Suppose -4*x - c = -25, -2*x - 4*c = -13 - 3. Calculate the remainder when 39 is divided by x.
3
Let j = -105 + 154. Let l be 2/(-4)*-2*-19. Let s = -6 - l. What is the remainder when j is divided by s?
10
Suppose -7 = -3*x - 5*d, -x - 2*d - 1 = 3*d. What is the remainder when x/10 + (-63)/(-5) is divided by 1*-3*17/(-51) + 7?
5
Calculate the remainder when (4 - -4) + -24 + 333 is divided by 38.
13
Let q = 68 - 20. Let b = -33 + q. Calculate the remainder when 43 is divided by b.
13
Let b(p) = -46*p**3 + p**2 + p + 1. Suppose -2*r + 23 = 5*g - 4*r, r = 3*g - 14. What is the remainder when b(-1) is divided by g?
2
Let p = 1102 - 1097. Calculate the remainder when 24 is divided by p.
4
Let t = 481 - 470. Let n = 79 - 37. Calculate the remainder when n is divided by t.
9
Suppose -25*f + 425 = -0*f. What is the remainder when 29 is divided by f?
12
Let b(r) = -r**3 + 13*r**2 - r + 26. What is the remainder when b(12) is divided by 77?
4
Suppose z - 91 = -5*o - z, 3*z = -6. Let m = 282 - 250. Let p = m - o. What is the remainder when 23 is divided by p?
10
Let t(m) = -m**3 + 8*m**2 - 6*m + 4. Suppose -156 + 4 = -2*f. What is the remainder when f is divided by t(7)?
10
Suppose 3*z = 2*d + 65, 17 = -5*z + 6*z + 4*d. Calculate the remainder when 333 is divided by z.
18
Let f(w) = -7*w - 2. Let m = 22 - 15. What is the remainder when m is divided by f(-1)?
2
Let d(k) = -k - 12. Let f be d(-17). Suppose -30 - f = -5*t. What is the remainder when 11 is divided by t?
4
Let u = 4 - -9. Let s(f) = -10*f + 7. Let w be s(-6). Let m = -44 + w. What is the remainder when m is divided by u?
10
Calculate the remainder when 135 is divided by (36/10)/((-3159)/(-520) - 6).
39
Let l be 4*(-20)/(-8) + -2. Suppose g + 2*x = l, 5*x - 28 = -4*g + 10. What is the remainder when 45 is divided by g?
9
Suppose 139 = 23*j - 22. Calculate the remainder when 10 is divided by j.
3
Suppose 2*u + 4*j = 16, u + 2*j + 2*j = 6. Let s = -23 + 52. Calculate the remainder when s is divided by u.
9
Let z be (117/(-6))/(12/(-128)). Suppose 3*p + 2*j - 46 = z, -2*p - 4*j = -172. Suppose -21*s + p = -17*s. Calculate the remainder when s is divided by 11.
10
Suppose -2604 - 11256 = -84*v. What is the remainder when v is divided by 47?
24
Suppose -863*j - 42 = -870*j. What is the remainder when 182 is divided by j?
2
Suppose -5*w = -3*v + 141, -w + 66 = -4*v + 254. What is the remainder when 563 is divided by v?
46
Let u(n) = 30*n**2 + 1. Let y(c) = -c + 5. Let o be y(4). Suppose 7*d - 8*d + i + 18 = 0, -29 = -2*d - 5*i. What is the remainder when u(o) is divided by d?
14
Suppose -5*s = q - 161, -31*s + 35*s = -q + 129. What is the remainder when 234 is divided by s?
10
Suppose 0 = -88*f + 65*f + 713. What is the remainder when 60 is divided by f?
29
Let i(u) = -u**2 + 6*u + 6. Let b = 3 + 2. Let y = 81 - 50. Calculate the remainder when y is divided by i(b).
9
Let z(v) = -39*v - 59. What is the remainder when 288 is divided by z(-3)?
56
Suppose 0 = -3*h + 96 + 216. What is the remainder when (-5)/(-2)*h/10 is divided by 9?
8
Let r = 235 - 129. Let u be 3 - (-3 + r)/(-1). Let d = u + -59. What is the remainder when d is divided by 8?
7
Suppose -3*f = 4*f - 154. Suppose 0 = -f*i + 15*i + 35. What is the remainder when 18 is divided by i?
3
Suppose 5*p + 81 = 4*q + 281, 4*p + 3*q = 129. Let b = -37 - -62. Calculate the remainder when b is divided by p*4*4/48 + 2.
11
Let h(c) = c**3 - 10*c**2 - 8*c + 23. Let o be 279/31 + 0/(-2) + 2. Calculate the remainder when h(o) is divided by 20.
16
Suppose 5 = 5*c, 2*n - 4*c - 74 = 20. What is the remainder when 241 is divided by n?
45
Let c(q) = 6*q - 6*q + 2*q - 1 + 0. Let f be c(-3). What is the remainder when (-3408)/(-56) + (-1)/f is divided by 16?
13
Let c = 42 - 19. Calculate the remainder when (1/(-5))/(245/(-83300)) is divided by c.
22
Let d be 3/9*-1 - (-14)/6. Suppose 38 = 2*r + 2*x, 5*x + 3 + 7 = d*r. What is the remainder when 27 is divided by r?
12
Suppose -g - 2*g - 12 = 0, 3*x + 3*g - 6 = 0. Suppose 2*o - 124 = -2*o. Suppose 0 = -5*w + o + 19. What is the remainder when w is divided by x?
4
Let k(t) = 11*t**2 + t + 1. Let l be (-12)/(-10)*15/6. Suppose 3*p - 1 + 4 = -l*i, 5 = -5*p - 2*i. What is the remainder when 32 is divided by k(p)?
10
Let x(j) = -j**3 + j**2 - 2*j + 38. Calculate the remainder when x(0) is divided by 23.
15
Let b = 40 + -33. Suppose b*x - 6*x = 12. What is the remainder when 33 is divided by x?
9
What is the remainder when 90 is divided by (48/(-11))/(24/(-132))?
18
Let k be (0 + 0 - 2) + -4. Let q be ((-2)/k)/((-5)/555). Let s = -22 - q. Calculate the remainder when s is divided by 6.
3
Let x = 27 + -27. Suppose x = -2*v + 3*v - 3. What is the remainder when 11 is divided by v?
2
Let l(r) = 7*r**2 - 3*r. Suppose -5 = i - 3*k + 5, -8 = 2*i - 3*k. What is the remainder when l(i) is divided by -2 + (-2 + 4 - -3) + 3?
4
Let x be 3 + -5 + 18/3. Suppose -x*i - i = -75. Calculate the remainder when i is divided by 4.
3
Suppose -4*s - 2031 = -5*i, 1213 = 3*i - 3*s + 2*s. Calculate the remainder when i is divided by 44.
7
Suppose -89*h + 117 = -86*h. Calculate the remainder when h is divided by 20.
19
Suppose 4*p = 5*k - 4*k - 255, 285 = k + 2*p. What is the remainder when k is divided by 40?
35
Let y = -59 - -29. Let j = 44 - y. Calculate the remainder when j is divided by 26.
22
Calculate the remainder when 620 is divided by (61/(-61))/((-3)/267).
86
Suppose -6*o - 2*x + 28 = -o, -20 = -4*o - 4*x. Suppose -4*u + 6 + 38 = 0. Calculate the remainder when u is divided by o.
5
Let u = 13 - -3. Calculate the remainder when u/(1*(-1)/(-4)) is divided by (-18)/(-1) - (1 - (-4)/8*-10).
20
Suppose 0 = 22*g - 1003 - 383. Suppose -14 = 3*q - 113. Calculate the remainder when g is divided by q.
30
Let a = -1999 - -2700. What is the remainder when a is divided by 47?
43
Let m(u) = 2*u**2 - 2*u + 5. Let x be m(0). Suppose 0 = -c + 3*c - w - 144, -2*c = -x*w - 160. What is the remainder when c is divided by 9?
7
Suppose -i + 17 = -3*m + 5*m, -3*i = -3*m + 21. Calculate the remainder when 327 is divided by m.
7
Let j = 118 - 74. Suppose -9*r + 4698 = 18*r. Calculate the remainder when r is divided by j.
42
Let d = 116 + -66. Let i = 6 + -2. Suppose i*j - 65 = -j. Calculate the remainder when d is divided by j.
11
Calculate the remainder when 76 is divided by (-9)/12*(-1392)/36.
18
Suppose -4*w - 1628 = -15*w. Suppose -4*h - 4*g + w = 0, 30 - 177 = -4*h - 5*g. What is the remainder when 145 is divided by h?
31
Let q = -1 + 10. Let s = 3372 - 3359. Calculate the remainder when s is divided by q.
4
Let z = -148 + 173. Calculate the remainder when 271 is divided by z.
21
Let s(n) = 2*n**2 + 16*n + 6 - n**2 - 4. Let w be s(-16). Suppose -38 = -w*q + 20. Calculate the remainder when 115 is divided by q.
28
Let c = -749 + 770. Let h(n) = 2*n**3 + 0*n**3 - 2*n - 4*n**3. Calculate the remainder when h(-3) is divided by c.
18
Suppose 30 = -3*f - 3*n, -3*f + 0*n = -5*n - 10. Let j(g) = g**3 + 5*g**2 - 5*g. Calculate the remainder when 47 is divided by j(f).
22
Let m(p) = -2*p**3 - 72*p**2 + 68*p + 8. Calculate the remainder when m(-37) is divided by 59.
53
Let n(j) = 2*j**3 - 6*j**2 - 14*j - 4. What is the remainder when n(5) is divided by 16?
10
Suppose 0 = -5*s + 272 + 53. Suppose -v + 39 = 2*v - 4*o, -3*o - s = -5*v. Calculate the remainder when 24 is divided by v.
11
Suppose 0 = -2*f + 3*h + 110, 53 + 49 = 2*f - h. Calculate the remainder when 157 is divided by f.
10
Suppose 8*z + 2*t = 3*z - 482, 3*z + 3*t = -291. Let m = z + 108. What is the remainder when 38 is divided by m?
2
Suppose 0 = 5*l - 20, c + c + l = 44. Let u = 27 - c. Calculate the remainder when 11 is divided by u.
4
Suppose s = 4*a - 115, -a - 2*s = -3*a + 56. Suppose -3*r + 486 = 6*b, 10*b - 11*b = 2*r - 72. Calculate the remainder when b is divided by a.
26
Suppose 3*u + 28 = 724. Suppose 0 = 57*b - 55*b - u. Calculate the remainder when b is divided by 24.
20
Calculate the remainder when 426 is divided by -2*(9592/16)/(-11).
99
Let d(g) = g**3 - 13*g**2 + 21*g + 14. Let s be d(11). Suppose s*k + 5*k = 1312. Calculate the remainder when k is divided by 33.
32
Let q be (-2 - -3)*-1*(-5 - -2). Suppose -5*o - q*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
What is prob of picking 4 e when four letters picked without replacement from {e: 4}?
1
Four letters picked without replacement from {p: 7}. What is prob of picking 4 p?
1
Calculate prob of picking 3 s and 1 z when four letters picked without replacement from zsjznnzsjzsjdnq.
4/1365
What is prob of picking 3 l when three letters picked without replacement from yylaylaly?
1/84
Three letters picked without replacement from {j: 1, z: 7, i: 1, w: 9, c: 2}. Give prob of picking 3 z.
7/228
Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {j: 6, h: 6, r: 3}.
18/455
Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {y: 4, t: 2, i: 2, o: 1, s: 7}.
3/80
Four letters picked without replacement from {z: 3, n: 1, g: 2, c: 4, x: 1}. Give prob of picking 1 z, 2 g, and 1 c.
2/55
What is prob of picking 1 p and 1 a when two letters picked without replacement from {a: 9, y: 1, p: 2, k: 1}?
3/13
Two letters picked without replacement from dopddqdkq. Give prob of picking 1 d and 1 k.
1/9
Three letters picked without replacement from gggzzzzzzz. What is prob of picking 1 z and 2 g?
7/40
What is prob of picking 3 b when three letters picked without replacement from bcxfhhjbhhbhbjfbh?
1/68
Two letters picked without replacement from kakjjajajajkakjaa. What is prob of picking 1 j and 1 k?
3/17
Three letters picked without replacement from {d: 16, k: 4}. What is prob of picking 3 k?
1/285
Calculate prob of picking 1 u, 1 w, and 1 e when three letters picked without replacement from {t: 2, e: 2, n: 10, u: 1, w: 4}.
8/969
Four letters picked without replacement from zziieyyinzeesy. What is prob of picking 2 i, 1 s, and 1 z?
9/1001
Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {c: 5, s: 1, m: 2, o: 2, z: 6}.
1/10
Four letters picked without replacement from ifiiizfhhff. What is prob of picking 1 h, 1 f, and 2 i?
8/55
Three letters picked without replacement from {w: 2, r: 1, j: 2, h: 1, s: 6, d: 5}. Give prob of picking 1 w, 1 r, and 1 s.
3/170
Two letters picked without replacement from xxlxhxllxlexeglxlxl. Give prob of picking 2 x.
28/171
Three letters picked without replacement from eaeqgnggandead. What is prob of picking 1 e and 2 g?
9/364
Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 1, u: 17}.
1/6
Three letters picked without replacement from hxexhehhhx. What is prob of picking 3 h?
1/12
Four letters picked without replacement from {g: 4, j: 3, w: 1, r: 4, h: 1, v: 4}. Give prob of picking 2 v and 2 j.
9/1190
Calculate prob of picking 1 q, 1 i, and 1 j when three letters picked without replacement from jjjhvijjvhkkvhjkqhk.
2/323
Two letters picked without replacement from {e: 1, b: 1, x: 1}. What is prob of picking 1 b and 1 e?
1/3
What is prob of picking 2 j when two letters picked without replacement from {d: 3, j: 2, y: 3}?
1/28
What is prob of picking 2 i and 2 u when four letters picked without replacement from iuiui?
3/5
Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {n: 1, k: 2, y: 2, o: 1, h: 2}.
1/14
Calculate prob of picking 4 t when four letters picked without replacement from zcyttcyzyytyyyyytyy.
1/3876
What is prob of picking 1 w, 1 o, and 1 f when three letters picked without replacement from bboobbbbfwfbbbwwbwof?
3/95
Three letters picked without replacement from {h: 2, y: 1, d: 2, n: 2, w: 1}. What is prob of picking 2 d and 1 y?
1/56
Calculate prob of picking 3 v and 1 b when four letters picked without replacement from vvvnvvvvvbv.
14/55
What is prob of picking 2 h and 2 i when four letters picked without replacement from ihii?
0
Four letters picked without replacement from iriir. Give prob of picking 2 i and 2 r.
3/5
Two letters picked without replacement from pvdvuppprpvrvgr. What is prob of picking 1 u and 1 p?
1/21
What is prob of picking 2 m when two letters picked without replacement from {z: 3, m: 15}?
35/51
Two letters picked without replacement from jxjjjx. What is prob of picking 2 j?
2/5
Three letters picked without replacement from ycckkcykckyk. What is prob of picking 3 k?
1/22
Three letters picked without replacement from vvvnvnv. What is prob of picking 2 v and 1 n?
4/7
What is prob of picking 2 h and 1 n when three letters picked without replacement from {h: 3, n: 5, k: 3}?
1/11
Four letters picked without replacement from {m: 2, g: 1, i: 1, w: 1, e: 2, q: 1}. What is prob of picking 1 m, 1 i, 1 e, and 1 g?
2/35
Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {t: 5, h: 8}.
70/143
Four letters picked without replacement from {s: 6, b: 1, x: 1, r: 1}. What is prob of picking 2 s, 1 b, and 1 x?
5/42
Calculate prob of picking 2 a when two letters picked without replacement from awwwazawwwwawzcca.
5/68
What is prob of picking 3 e and 1 s when four letters picked without replacement from esssshhsshessshssshs?
0
Four letters picked without replacement from ljjjjjjjjjjjj. Give prob of picking 1 l and 3 j.
4/13
Calculate prob of picking 3 s when three letters picked without replacement from {f: 1, m: 1, s: 3}.
1/10
Four letters picked without replacement from abmeaxymmbbayba. What is prob of picking 1 e, 2 b, and 1 a?
8/455
Four letters picked without replacement from {k: 1, d: 12, q: 3, w: 2, x: 1}. What is prob of picking 1 k and 3 d?
55/969
Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mnssvssvmv.
8/45
Two letters picked without replacement from {c: 11, h: 5}. What is prob of picking 1 c and 1 h?
11/24
What is prob of picking 1 v and 1 c when two letters picked without replacement from {h: 1, l: 5, a: 1, v: 1, c: 1}?
1/36
Calculate prob of picking 3 r when three letters picked without replacement from nnnnnnnnnrrnnnr.
1/455
Three letters picked without replacement from vvvvavvvvvvvvvavavvv. Give prob of picking 3 a.
1/1140
What is prob of picking 1 s, 1 r, and 1 j when three letters picked without replacement from {j: 2, w: 4, r: 1, h: 3, s: 1}?
2/165
Three letters picked without replacement from izivszbzizii. Give prob of picking 1 z, 1 i, and 1 v.
1/11
Four letters picked without replacement from {f: 6}. Give prob of picking 4 f.
1
What is prob of picking 1 g and 1 a when two letters picked without replacement from {w: 1, q: 4, a: 4, x: 1, g: 1}?
4/55
Three letters picked without replacement from yxmyxxy. What is prob of picking 2 y and 1 x?
9/35
What is prob of picking 3 e when three letters picked without replacement from {c: 5, m: 2, e: 3, x: 7}?
1/680
Three letters picked without replacement from {h: 5, p: 5}. Give prob of picking 3 p.
1/12
Three letters picked without replacement from {n: 2, w: 2}. What is prob of picking 1 n and 2 w?
1/2
What is prob of picking 1 d and 1 a when two letters picked without replacement from annendepnaaanapsesna?
3/95
What is prob of picking 1 w and 1 f when two letters picked without replacement from {r: 1, w: 1, h: 1, l: 1, f: 1}?
1/10
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from {k: 2, o: 1, n: 1}.
1/6
Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {z: 3, t: 2, s: 2, x: 1, j: 9}.
1/340
Two letters picked without replacement from vnyyvvvyynyv. Give prob of picking 2 y.
5/33
Calculate prob of picking 3 z when three letters picked without replacement from zzzzz.
1
Calculate prob of picking 2 g when two letters picked without replacement from zzzgzgzg.
3/28
Four letters picked without replacement from {y: 1, t: 1, k: 3}. What is prob of picking 1 y and 3 k?
1/5
Two letters picked without replacement from {l: 4, x: 4, h: 7}. What is prob of picking 2 x?
2/35
What is prob of picking 2 t and 1 w when three letters picked without replacement from fzewttjtjjjwtfe?
12/455
Three letters picked without replacement from vfvvfhfgffcgvdh. Give prob of picking 1 d and 2 h.
1/455
Four letters picked without replacement from ykyvvykyk. Give prob of picking 2 v and 2 y.
1/21
Four letters picked without replacement from {t: 1, m: 5, w: 3, l: 4}. Give prob of picking 1 l, 1 m, and 2 w.
12/143
Two letters picked without replacement from {r: 2, e:
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -2*f = 5*b - 94, -5*f + b + 2*b + 173 = 0. Suppose 32*g - 45 = f*g. Let l(v) = v + 9. Let d be l(g). Solve d = -i - i + 2 for i.
1
Let i(n) = -n**3 + 9*n**2 - 8*n + 2. Let r be i(8). Suppose -2*j = -3*b - 22, 7*j + 2 = 5*j - b. Solve j*o = -r*o for o.
0
Let f(h) = h**3 + 8*h**2 + 6*h + 2. Let b be f(-7). Let g = -2714 - -2720. Solve -3*n - g - b = 0 for n.
-5
Let i be 15/(-75) - (21/(-5) - 1). Let u(f) be the first derivative of -f**3/3 + 8*f**2 - 39*f - 28. Let d be u(7). Solve -d - 1 = -i*m for m.
5
Let h(f) = 12*f + 13 + 17 + f**2 + 34 - 27. Let k be (-6)/(-4) + 13/(-2). Let s be h(k). Solve 4*j - 10 + s = 0 for j.
2
Let j(u) = -u**3 - 18*u**2 + 18*u + 11. Let g be j(-19). Let m be (g/(-4))/(-5 + (-9)/(-2)). Suppose 4*l = -0 + 20. Solve -8*w + l*w + m = 0 for w.
5
Let h be 3 + (-2 - 0) - 41. Suppose -f = 5 + 25. Let u = f - h. Solve -d - 4*d + u = 0 for d.
2
Let o = 55 - 28. Suppose 3*a - o = -3*v, 3*v - 2*a = 2 - 0. Let p = -7233 - -7245. Solve -v*w + p = -0 for w.
3
Let y = -7967 + 7967. Solve -150*z + 158*z - 56 = y for z.
7
Suppose 10 = 2*a - 2*i, -2*a - i = -5*i - 12. Suppose 0*y - a*y = -32. Let s be 1 + -5 + y + -2 + 1. Solve 4*d + 1 + s = 0 for d.
-1
Suppose 5*m = -2*i - 10, 0*i - 8 = 2*i + 4*m. Suppose 5 = -4*z + n + 2, -5*z - 5*n = -15. Let u be ((-18)/9)/(4/(-10) - z). Solve i*c - u = c for c.
-5
Let m be 14/49 - 34/119. Let k be 0/(-2 + 4 + -3). Solve m*w - 4*w = k for w.
0
Let i be 8 + 8205/55 - (-8)/(-44). Solve 2*w - 167 = -i for w.
5
Suppose -5*h - 5 = 0, -4*o = -h + 6*h + 93. Let j(v) = -4*v**2 - 88*v + 10. Let c be j(o). Solve -c = -2*i + 4*i for i.
-5
Let i be 19 + (-2)/(-5) + (-550)/125. Suppose -7*t + 43 = i. Solve -7*y = -t*y - 12 for y.
4
Let f(w) be the first derivative of 3*w**3 + w**2 - w + 16. Let a be f(1). Solve 4*q - a = -18 for q.
-2
Let k = -17843 + 18575. Solve 0 = 748*a - k*a - 112 for a.
7
Let f be (8/2)/(11 + 150/(-14)). Let d(b) = -21*b + 314. Let k be d(f). Solve k*m = 23*m for m.
0
Let y(a) = 2*a**2 - 27*a + 15. Let b be y(13). Suppose b*c + c = 5*c. Suppose -w - 4*w = c. Solve w = -2*s - 0*s - 2 for s.
-1
Suppose 0 = 2*k - 5*k + 4*v - 44, 5*v = 3*k + 43. Let j = 403 - 387. Let s be j/10 - k/40. Solve -1 = i + s for i.
-3
Let j(y) = -38 + 28 - 20 + 3*y. Let z be j(11). Let n be 8*(10/2 - 4). Solve z*w + 20 = n*w for w.
4
Suppose 0 = -5*r - 203 + 943. Solve 38*w = 112*w - r for w.
2
Let v be (-2664)/(-666)*7/4. Solve 0 = 52*f - 45*f - v for f.
1
Let g be ((-27750)/(-80))/25 + 4/32. Solve 6 = -2*w + g for w.
4
Suppose -3*b + 388 = 394. Let j be (b - (-8)/5) + (-102)/(-5). Solve -j = 4*f - 16 for f.
-1
Let z(r) = -r**3 + 3*r**2 - 3*r - 3. Let g be z(4). Let x = -23 - g. Suppose x*i - i = i. Solve -5 = -m - i*m for m.
5
Let a be 3 + 1/((12/(-16))/3). Let f be 112/168*(0 + a + 4). Solve f*b - 12 = -6 for b.
3
Suppose 32 = 2*i + 4*d, -175*i - 3*d = -172*i - 60. Solve 0 = i*n - 30*n + 48 for n.
8
Let w(y) = -919 - 775 + 1826 - 3*y. Let v be w(34). Solve -24 = -2*i - v for i.
-3
Let n be -31*3/(-6)*32*(-23)/(-184). Solve 77 - n = -15*l for l.
-1
Let r be (-3)/15 - 69/5. Let z = 1291 + -1305. Let f = z - r. Solve f = -6*v + 8*v - 6 for v.
3
Suppose 0 = -j + 3, r - 2*j - 5 = -3*j. Suppose -4*n + 82 = 5*b, b = 3*n - r*b - 75. Solve 0 = n*g - 24*g - 2 for g.
-2
Suppose -869 = -49*s - 529 + 1914. Solve 20*r = s + 74 for r.
6
Let a(l) = l**2 + 11*l + 6. Suppose 5*u + 14 = -41. Let w be a(u). Suppose -11*q - w = -13*q. Solve 2 + 1 = q*d for d.
1
Let f = -1899 - -1933. Solve f*r + 1 - 35 = 0 for r.
1
Let t(j) = -j**3 + 4*j**2 - 3*j + 3. Let d be t(3). Suppose -d*v + 69 = 57. Suppose -3 = q + 3*c - 0, -v*c - 4 = -5*q. Solve q = 3*m + m for m.
0
Let b(l) = -4*l + 27. Let w be b(4). Let g(y) = -y**2 + 6*y + 5. Let a be g(6). Let z = 4 - 0. Solve a = z*u - w for u.
4
Let b be 0/(12 + (3 - 16)). Let c(d) be the first derivative of -d**3/3 - d**2/2 + 2*d + 1. Let s be c(0). Solve s*m + 10 = -b*m for m.
-5
Suppose -7*h + 1276 - 5049 = 0. Let t = -539 - h. Solve t = 3*a + 2*a - 15 for a.
3
Let m(l) = 9*l - 52. Let y be m(6). Suppose -3*b = -4*j + 5, -80*b - y*j = -81*b - 5. Solve 0 = -7*u + 16 + b for u.
3
Suppose 2*o = 4*i + 63 - 171, 2*i - 46 = 5*o. Solve i*j - 57 = -225 for j.
-6
Let h be (42/15 - 2)/((-20)/(-2550)). Suppose 95*r - 78*r = h. Solve 33*z - 30*z = -r for z.
-2
Let g(d) = -333*d + 336. Let y be g(1). Solve 2*l + 3 + y = 0 for l.
-3
Suppose -63*y + 130*y = 1072. Solve 21*s - 5 = y*s for s.
1
Suppose -2*f + 56 = -z, -1449*f + 1452*f - 88 = 2*z. Solve 70*h = f*h - 368 for h.
-8
Suppose -4*z + 2*d + 2*d + 140 = 0, 2*z = -d + 55. Suppose 0 = 9*o - z + 12. Solve -4*a - 6 = o for a.
-2
Suppose 7 = -2*a - 3, -3*k - 4*a + 1567 = 0. Solve -v - k = -523 for v.
-6
Suppose -u = 2*a - 142, 0 = -2*u - 56 + 52. Solve 204*r = 192*r + a for r.
6
Suppose 4*h - 8*h = 968. Let s = h + 162. Let z = s + 83. Solve 0 = x - z + 7 for x.
-4
Let x(i) = i**3 - 10*i**2 - 16*i + 44. Let q be x(11). Let u = q + 44. Suppose -3*o + 4*l = -31, -15 = -2*o + 3*o + 5*l. Solve -o*s + u = 13 for s.
4
Suppose 3*g + 0*g = -o + 353, 4*g = 16. Let h = o - 331. Solve -3*p = -h + 13 for p.
-1
Let l(n) = -2*n**3 + 24*n**2 + n - 12. Let s be l(12). Solve 7*w - 74 + 39 = s for w.
5
Suppose -493 = -105*k - 178. Let p = 0 - 0. Solve r + 0*r + k = p for r.
-3
Let o(z) = z + 23. Let s be 6/5*(-300)/20. Let k be o(s). Suppose -k*r + 58 = 43. Solve -r*f + 5 = 2*f for f.
1
Let u = 1057 + -1056. Let f = -117 + 138. Solve -f + u = -4*x for x.
5
Suppose 0 = -2*l + 5*z + 55, 4*l = -4*z + 3 + 65. Suppose -5*k + l = 4*w, 0 = -2*k + 5*w - 3*w - 10. Suppose 2*n - 7 - 11 = k. Solve -n = -4*v + 11 for v.
5
Let l be ((-2)/12)/((-1)/173) - (-139)/834. Solve l*z + 52 = 3*z for z.
-2
Suppose -2*o = t - 364, 777 + 136 = 5*o + t. Solve 44*j = -17*j - o for j.
-3
Suppose 47*n = -59*n + 85*n + 93303. Solve 0 = n*d - 4444*d + 4 for d.
4
Let n(w) be the third derivative of w**4/6 - 7*w**3/3 + 91*w**2. Let j be n(5). Solve 5 + 1 = -j*k for k.
-1
Let v = -3543 + 3559. Solve -5*i = -i + v for i.
-4
Let p be 6 + -1 - 38/(-304)*16. Let n = 1 - 1. Solve n = -p*v + 3*v for v.
0
Suppose 3*o - 55 = -5*l, -3 - 101 = -4*o + l. Solve -20*z = -15*z + o for z.
-5
Suppose 11*x = -138*x + 9834. Solve 0 = -125*b + 136*b - x for b.
6
Let z(b) = -5*b + 24. Let c be z(5). Let q be -10 - 5 - 4*c. Let s(v) = v**2 + 12*v + 12. Let i be s(q). Solve -i = -4*p - 21 for p.
-5
Suppose -138*a + 156 = -135*a. Solve -143*k = -156*k - a for k.
-4
Let a be ((-3)/42*-8)/(-7*(-12)/294). Solve 0 = a*v - 9 + 11 for v.
-1
Let t be (-1005)/(-40) + (-4)/32. Let d be 1/(-3) - (-742)/21. Suppose 2*i + t - d = 0. Solve 0 = -i*z + z + 16 for z.
4
Suppose -4*p - 3*k + 27 = 0, 5*p - 5*k + 4 = 29. Suppose 5*v - 13*v = 0. Suppose 4*x - 37 + 8 = -5*b, 2*b - x - 9 = v. Solve -p = b*d + 9 for d.
-3
Let d = 874 + -866. Solve 4*q + d*q = 36 for q.
3
Suppose 81*w - 214*w = 59*w - 768. Suppose -l = -2*l. Solve l = w*a + 20 for a.
-5
Let t(m) = m**2 + 4*m - 21. Let n be t(-7). Let q = 1 + 11. Solve 4*h - q = -n*h for h.
3
Suppose -12 = 12*a - 48. Suppose a*y + 45 = 2*v, 4*v + 2*y + y = 81. Let w = v + -16. Solve -w*n = -3*n + 4 for n.
-2
Let j(q) = -q**3 - 11*q**2 + 27*q + 19. Let x be j(-13). Suppose 5*r - x*r - 2 = 0. Let c(k) = 3*k**2 + 8*k + 6. Let n be c(r). Solve 2*m = -n*m - 20 for m.
-5
Suppose 96*r = 102*r - 18. Suppose 4*u = 3*i - r - 1, -3*u - 3 = 3*i. Solve 10*x - 1 + 1 = i for x.
0
Suppose -2*y = 3*i - 100, 3*i - 225 = -5*y + 8*i. Let w(j) = -j - 33. Let c be w(6). Let z = y + c. Solve 0 = -d - d + z for d.
4
Let q be ((-1)/(4/(-2))*0)/2. Suppose 3*f + 3 = -0*y + y, -6 = -2*y. Suppose -4*x + 2 + 38 = f. Solve q*p - 5*p = x for p.
-2
Let a be (-2)/(-20) - (-7 - (-109)/(-10)). Solve -a*v - 21 = 15 for v.
-2
Let x(p) = -53*p - 247. Let u be x(-5). Solve -13*l = -u*l - 15 for l.
-3
Let u = 2022 - 2021. Solve 32*y = u - 33 for y.
-1
Let g = -21383 + 21406. Solve g*s - 84 = -268 for s.
-8
Let h = 621 - 1086. Let s be h/(-45) - (-1)/(-3). Solve -4*w + 6*w = -s for w.
-5
Suppose -7 = 3*g - o - 32, 0 = 2*g - o - 17. Let q be g/(-14) - 156/(-28). Solve 5*f + q = -10 for f.
-3
Suppose 0 = -2*i - 2*i + 2*i. Suppose -4*y + i - 1 = 3*o, -16 = 4*y. Solve 1 + o = -3*s for s.
-2
Suppose 5*w = -d + 2500, 34*d + 521 = w + 30*d. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
1654321?
-330864*h - 1
What is the h'th term of 25565, 25564, 25563, 25562, 25561, 25560?
-h + 25566
What is the o'th term of 1893, 3788, 5679, 7566, 9449?
-2*o**2 + 1901*o - 6
What is the o'th term of 4734, 9494, 14254, 19014, 23774?
4760*o - 26
What is the n'th term of -440, -421, -424, -461, -544, -685, -896?
-2*n**3 + n**2 + 30*n - 469
What is the u'th term of 125700, 125699, 125698, 125697?
-u + 125701
What is the z'th term of 2643, 5294, 7945, 10596?
2651*z - 8
What is the h'th term of -70, -142, -278, -490, -790?
-2*h**3 - 20*h**2 + 2*h - 50
What is the b'th term of 6960, 7182, 7392, 7584, 7752, 7890, 7992?
-b**3 + 229*b + 6732
What is the p'th term of 41947, 83944, 125941, 167938, 209935, 251932?
41997*p - 50
What is the m'th term of 442870, 442871, 442872, 442873, 442874, 442875?
m + 442869
What is the i'th term of 201, 555, 1133, 1929, 2937, 4151, 5565?
-i**3 + 118*i**2 + 7*i + 77
What is the r'th term of -799, -757, -715, -673, -631?
42*r - 841
What is the y'th term of 11921, 12008, 12147, 12332, 12557, 12816, 13103?
-y**3 + 32*y**2 - 2*y + 11892
What is the k'th term of 15774, 15695, 15616, 15537, 15458, 15379?
-79*k + 15853
What is the c'th term of 58, 78, 130, 214, 330, 478, 658?
16*c**2 - 28*c + 70
What is the w'th term of -118557, -237120, -355683, -474246?
-118563*w + 6
What is the w'th term of 4122, 4067, 3966, 3813, 3602, 3327, 2982, 2561?
-w**3 - 17*w**2 + 3*w + 4137
What is the k'th term of 16196, 16239, 16282, 16325, 16368?
43*k + 16153
What is the z'th term of 201908, 201907, 201906, 201905, 201904?
-z + 201909
What is the m'th term of -818338, -818341, -818344, -818347, -818350, -818353?
-3*m - 818335
What is the c'th term of 416, 421, 438, 473, 532, 621?
c**3 - 2*c + 417
What is the y'th term of 11867, 23735, 35609, 47489, 59375, 71267?
3*y**2 + 11859*y + 5
What is the m'th term of 4721, 9461, 14223, 19001, 23789, 28581, 33371?
-m**3 + 17*m**2 + 4696*m + 9
What is the s'th term of -299111, -299110, -299109, -299108, -299107?
s - 299112
What is the d'th term of -250, -291, -318, -331, -330?
7*d**2 - 62*d - 195
What is the i'th term of -67, -35, 45, 191, 421, 753, 1205?
3*i**3 + 6*i**2 - 7*i - 69
What is the f'th term of 86836, 86820, 86804, 86788?
-16*f + 86852
What is the w'th term of -294, -365, -436, -507?
-71*w - 223
What is the t'th term of 3280, 6580, 9878, 13174?
-t**2 + 3303*t - 22
What is the l'th term of -2667, -5278, -7851, -10392, -12907?
-l**3 + 25*l**2 - 2679*l - 12
What is the u'th term of -80970, -80987, -81004?
-17*u - 80953
What is the v'th term of -5365, -5280, -5141, -4948, -4701?
27*v**2 + 4*v - 5396
What is the u'th term of -141986, -283970, -425954, -567938, -709922, -851906?
-141984*u - 2
What is the i'th term of -6025, -24113, -54261, -96469, -150737, -217065, -295453?
-6030*i**2 + 2*i + 3
What is the c'th term of 721, 682, 599, 472?
-22*c**2 + 27*c + 716
What is the l'th term of -9158, -9181, -9220, -9275, -9346, -9433?
-8*l**2 + l - 9151
What is the c'th term of -17352, -17372, -17410, -17472, -17564, -17692, -17862?
-c**3 - 3*c**2 - 4*c - 17344
What is the i'th term of -336140, -336141, -336142, -336143, -336144?
-i - 336139
What is the m'th term of -1326, -2527, -3728, -4929?
-1201*m - 125
What is the s'th term of 144478, 577974, 1300462, 2311936, 3612390?
-s**3 + 144502*s**2 - 3*s - 20
What is the z'th term of 1790, 1725, 1660, 1595?
-65*z + 1855
What is the n'th term of 2200, 4369, 6504, 8587, 10600?
-3*n**3 + n**2 + 2187*n + 15
What is the j'th term of -1778, -2072, -2562, -3248?
-98*j**2 - 1680
What is the a'th term of 2423, 2378, 2333, 2288?
-45*a + 2468
What is the j'th term of -34, -97, -92, 71, 482?
15*j**3 - 56*j**2 + 7
What is the g'th term of 1510605, 1510603, 1510601, 1510599, 1510597, 1510595?
-2*g + 1510607
What is the h'th term of 8, 67, 188, 389, 688, 1103?
3*h**3 + 13*h**2 - h - 7
What is the m'th term of -19, -51, -159, -385, -771, -1359, -2191?
-7*m**3 + 4*m**2 + 5*m - 21
What is the a'th term of -207, -1607, -5413, -12831, -25067, -43327, -68817?
-201*a**3 + 3*a**2 - 2*a - 7
What is the j'th term of 156, 332, 512, 696, 884, 1076?
2*j**2 + 170*j - 16
What is the w'th term of -8151, -8206, -8261, -8316?
-55*w - 8096
What is the k'th term of -23, -463, -905, -1349?
-k**2 - 437*k + 415
What is the r'th term of -4084, -4097, -4112, -4135, -4172, -4229, -4312, -4427?
-r**3 + 5*r**2 - 21*r - 4067
What is the i'th term of 102121, 204249, 306379, 408511, 510645?
i**2 + 102125*i - 5
What is the c'th term of 2073, 2071, 2085, 2127, 2209?
2*c**3 - 4*c**2 - 4*c + 2079
What is the x'th term of 3253, 3256, 3263, 3274?
2*x**2 - 3*x + 3254
What is the f'th term of -70, -926, -2352, -4348, -6914, -10050, -13756?
-285*f**2 - f + 216
What is the k'th term of -2495, -5050, -7615, -10196, -12799, -15430, -18095, -20800?
-k**3 + k**2 - 2551*k + 56
What is the c'th term of 1536, 6059, 13594, 24135, 37676, 54211, 73734, 96239?
-c**3 + 1512*c**2 - 6*c + 31
What is the v'th term of 302, 552, 764, 938?
-19*v**2 + 307*v + 14
What is the a'th term of -217592, -435172, -652752?
-217580*a - 12
What is the o'th term of -30944, -61889, -92834, -123779, -154724, -185669?
-30945*o + 1
What is the y'th term of -173899, -173903, -173895, -173869, -173819, -173739?
y**3 - 11*y - 173889
What is the u'th term of -409, -622, -983, -1498, -2173, -3014, -4027?
-u**3 - 68*u**2 - 2*u - 338
What is the w'th term of -1540726, -3081456, -4622184, -6162910, -7703634, -9244356, -10785076?
w**2 - 1540733*w + 6
What is the n'th term of 157, 151, 155, 175, 217, 287?
n**3 - n**2 - 10*n + 167
What is the j'th term of 4049, 3326, 2121, 434, -1735, -4386, -7519?
-241*j**2 + 4290
What is the b'th term of -29511, -29555, -29613, -29691, -29795, -29931, -30105?
-b**3 - b**2 - 34*b - 29475
What is the v'th term of 942, 3787, 8530, 15171, 23710, 34147?
949*v**2 - 2*v - 5
What is the a'th term of -10, -68, -184, -370, -638, -1000, -1468?
-2*a**3 - 17*a**2 + 7*a + 2
What is the a'th term of 242, 232, 212, 182?
-5*a**2 + 5*a + 242
What is the k'th term of 3958, 4062, 4164, 4264, 4362, 4458?
-k**2 + 107*k + 3852
What is the d'th term of 127, 142, 109, 22, -125?
-d**3 - 18*d**2 + 76*d + 70
What is the r'th term of 12915, 12911, 12907, 12903, 12899, 12895?
-4*r + 12919
What is the u'th term of -1020, -999, -960, -903?
9*u**2 - 6*u - 1023
What is the g'th term of -42787, -42793, -42801, -42811?
-g**2 - 3*g - 42783
What is the m'th term of -12193, -24389, -36585?
-12196*m + 3
What is the s'th term of -17, -399, -1035, -1925, -3069, -4467, -6119?
-127*s**2 - s + 111
What is the t'th term of -99149, -198243, -297335, -396425?
t**2 - 99097*t - 53
What is the m'th term of 3579, 7375, 11147, 14883, 18571, 22199?
-2*m**3 + 3810*m - 229
What is the b'th term of 3078203, 3078202, 3078199, 3078194, 3078187?
-b**2 + 2*b + 3078202
What is the n'th term of -1652, -1654, -1656?
-2*n - 1650
What is the f'th term of 181892, 181896, 181902, 181910?
f**2 + f + 181890
What is the t'th term of 299, 233, 121, -37?
-23*t**2 + 3*t + 319
What is the y'th term of 54655, 109329, 164013, 218707, 273411, 328125, 382849?
5*y**2 + 54659*y - 9
What is the s'th term of 2114182, 4228366, 6342550, 8456734, 10570918?
2114184*s - 2
What is the h'th term of 1548, 2996, 4446, 5898, 7352, 8808?
h**2 + 1445*h + 102
What is the z'th term of -10488181, -10488180, -10488179, -10488178?
z - 10488182
What is the k'th term of 16758, 16756, 16754, 16752?
-2*k + 16760
What is the c'th term of 98, 1002, 3582, 8714, 17274, 30138, 48182?
146*c**3 - 38*c**2 - 4*c - 6
What is the x'th term of -22237, -22195, -22129, -22027, -21877?
2*x**3 + 28*x - 22267
What is the r'th term of -103815, -103820, -103829, -103842, -103859, -103880, -103905?
-2*r**2 + r - 103814
What is the f'th term of 1730, 1665, 1600, 1535, 1470, 1405?
-65*f + 1795
What is the o'th term of 1070, 1979, 2888, 3797?
909*o + 161
What is the b'th term of 3575, 7194, 10837, 14510, 18219, 21970, 25769?
b**3 + 6*b**2 + 3594*b - 26
What is the t'th term of 19973, 19955, 19933, 19907?
-2*t**2 - 12*t + 19987
What is the r'th term of -60799, -121599, -182401, -243205, -304011, -364819, -425629?
-r**2 - 60797*r - 1
What is the q'th term of -2634, -5581, -8528, -11475, -14422, -17369?
-2947*q + 313
What is the r'th term of 611, 589,
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Let c(y) be the second derivative of 0 - y**2 + 0*y**3 - 8*y - 1/12*y**4. Differentiate c(b) wrt b.
-2*b
Let w(h) be the first derivative of -10*h**3/3 - 7*h**2/2 + 1. What is the second derivative of w(q) wrt q?
-20
Let x(r) = 49*r - 7. Let d(y) = 6*y - 1. Let a(j) = 51*d(j) - 6*x(j). Let c(v) = -8*v + 6. Let b(g) = -5*a(g) - 7*c(g). Differentiate b(i) wrt i.
-4
Let x(l) be the second derivative of -l**6/30 + l**4/2 - 4*l. What is the third derivative of x(r) wrt r?
-24*r
Let c(u) = 10*u**5 - 2*u**3 + 3*u - 2. Let z(h) = -h**5 + h**3 + h + 1. Let w(m) = c(m) + 2*z(m). Find the second derivative of w(y) wrt y.
160*y**3
Let j(o) = 3*o**3 + 16*o**2 + 6. Let q(l) = 10*l**3 + 48*l**2 + 17. Let u(i) = 17*j(i) - 6*q(i). Find the third derivative of u(r) wrt r.
-54
Let v be (-9)/(-2)*6/9. Differentiate -u**2 + u**2 - v*u**2 + 5 + 5*u**2 wrt u.
4*u
Let r(c) be the second derivative of -7*c**5/20 + c**3/6 - 6*c. What is the second derivative of r(d) wrt d?
-42*d
Let n(w) be the third derivative of -5*w**8/168 - w**5/30 - w**2. Find the third derivative of n(m) wrt m.
-600*m**2
Let i(q) = q**2 + 11*q + 27. Let u be i(-8). Let y(o) be the first derivative of 0*o**3 + 1/2*o**4 - 3 - u*o + 0*o**2. What is the derivative of y(l) wrt l?
6*l**2
Let a(u) be the second derivative of u**6/180 + u**5/40 + u**3/6 + 3*u. Let p(f) be the second derivative of a(f). Find the second derivative of p(j) wrt j.
4
Find the second derivative of -20*c**3 + 14*c**3 + 13*c**3 - 23*c wrt c.
42*c
Find the second derivative of -5*l - 4*l + 6*l**5 - l + 7*l**5 wrt l.
260*l**3
Let n(m) be the second derivative of m**6/2 - 11*m**4/12 - 9*m. Find the third derivative of n(z) wrt z.
360*z
Suppose -11*t + 23 + 10 = 0. Let l(k) be the third derivative of 0*k**4 + 1/30*k**5 - 1/3*k**t + 0 + 0*k + 2*k**2. What is the first derivative of l(i) wrt i?
4*i
Let d(w) be the first derivative of -w**7/210 + 2*w**3/3 - w**2/2 - 2. Let g(u) be the second derivative of d(u). Differentiate g(x) wrt x.
-4*x**3
Suppose -4*k + 32 = 4*f, -f - 8 = -4*k + 3*f. Suppose 20 = p + 4*p. Differentiate 0 + 1 + p*b**2 - k*b**2 with respect to b.
-2*b
Let a = -10 - -11. Differentiate -3*o**4 - 3 - a + o**4 - o**4 wrt o.
-12*o**3
Let z(d) be the second derivative of d**7/7 + d**4/3 + 27*d. What is the third derivative of z(f) wrt f?
360*f**2
Let b(m) be the third derivative of -m**9/756 - m**5/120 + m**3 - 3*m**2. Let w(f) be the first derivative of b(f). What is the second derivative of w(y) wrt y?
-80*y**3
Let n(b) = -b**2 - 4*b. Let w(p) = -1 - p + 1. Let l(c) = 2*c - 11. Let h be l(10). Let v(z) = h*w(z) - 2*n(z). Find the second derivative of v(m) wrt m.
4
Find the third derivative of -126*y**5 + 10*y**2 + 4*y**3 + 124*y**5 - 4*y**3 wrt y.
-120*y**2
Let x(s) be the second derivative of 0*s**5 + 0*s**3 + 1/12*s**4 + 0 + 4*s - 1/5*s**6 + 0*s**2. What is the third derivative of x(m) wrt m?
-144*m
Let z(b) be the first derivative of -5*b**6/6 + 11*b**3/3 + 6. What is the third derivative of z(i) wrt i?
-300*i**2
Let l(u) = -13*u + 42. Let o(m) = 24*m - 83. Let k(x) = 9*l(x) + 4*o(x). What is the first derivative of k(w) wrt w?
-21
Let j(g) be the third derivative of 7*g**5/60 + 4*g**3/3 + 9*g**2. Differentiate j(y) with respect to y.
14*y
Let z be (-92)/(-20) - 6/10. Find the second derivative of w**z - 3*w + 3*w**5 - w**4 wrt w.
60*w**3
Find the second derivative of 39*m**3 - 39*m**3 - 7*m + m**4 - m wrt m.
12*m**2
Let p(d) be the third derivative of d**10/2520 + d**6/120 - d**3/2 + 3*d**2. Let i(b) be the first derivative of p(b). Find the third derivative of i(f) wrt f.
240*f**3
What is the third derivative of 0*k + 0*k - 8*k**2 - 28*k**3 + 33*k**3 wrt k?
30
Let v(t) = -t**3 - 5*t**2 + 5*t - 4. Let y be v(-6). What is the third derivative of -x**6 + y*x**2 - 2*x**6 + x**2 wrt x?
-360*x**3
Find the third derivative of -8*d**3 - d**2 + 83 - 40 - 43 wrt d.
-48
Suppose -7 = -u - 4*s, 0 = -3*u + 3*s - 0*s + 6. What is the first derivative of -5 + 2 - u*a**2 + 1 wrt a?
-6*a
Let k(o) = o**3 + o**2. Let v be k(1). Suppose -m + 1 = -v. Find the third derivative of 3*x**2 + 0*x**5 + m*x**5 - 5*x**2 wrt x.
180*x**2
Let w = 4 + -9. Let a = 11 + w. What is the third derivative of -2*r**a - 4*r**6 + 0*r**2 - 3*r**2 + 3*r**6 wrt r?
-360*r**3
Differentiate 6 + 0*z**4 - 2*z**4 - 4*z**4 with respect to z.
-24*z**3
What is the first derivative of -554*x + 554*x + 26*x**2 + 10 wrt x?
52*x
Let r(k) be the third derivative of -1/15*k**5 + 0 - 1/168*k**8 + 0*k**7 - 3*k**2 + 0*k**6 + 0*k**4 + 0*k**3 + 0*k. What is the third derivative of r(n) wrt n?
-120*n**2
What is the third derivative of -4*a**2 - 17*a**2 + 12*a**2 + 6*a**5 wrt a?
360*a**2
Suppose 0*i + i = 6. Find the third derivative of -5*f**i + f**2 + 2*f**2 + f**2 - 2*f**6 wrt f.
-840*f**3
Let d(f) be the third derivative of f**8/14 - f**5/12 + 2*f**2. Find the third derivative of d(q) wrt q.
1440*q**2
Let o(u) be the first derivative of u**6/6 - 4*u**2 - 2. What is the second derivative of o(d) wrt d?
20*d**3
Let b(w) = 49*w**2 + 28*w + 2. Let j(p) = 246*p**2 + 138*p + 11. Let n(a) = -11*b(a) + 2*j(a). Find the second derivative of n(k) wrt k.
-94
Let t = 93 - 103. Let l(b) = 3*b - 6. Let g(c) be the third derivative of c**4/24 - c**3/6 - c**2. Let f(q) = t*g(q) + 2*l(q). Differentiate f(d) wrt d.
-4
Let h(r) = 9*r**2 + 12*r - 5. Let d(p) = -4*p**2 - 6*p + 3. Let j = -4 + 9. Let o(t) = j*d(t) + 3*h(t). What is the second derivative of o(l) wrt l?
14
Let x be (-14)/(-4)*24/42. What is the first derivative of x + 0*u**2 + u**2 + 1 wrt u?
2*u
Let n(m) = -10*m**4 + 6*m**3 + 13*m - 6. Let t(c) = 10*c**4 - 5*c**3 - 14*c + 5. Let a(r) = 5*n(r) + 6*t(r). What is the second derivative of a(g) wrt g?
120*g**2
Let z(x) be the third derivative of -17*x**4/24 - 5*x**3/2 - 3*x**2. Find the first derivative of z(f) wrt f.
-17
Let a(g) be the third derivative of 0*g**5 + 5*g**2 + 0*g**3 + 0 + 1/12*g**4 + 0*g + 0*g**6 - 2/105*g**7. What is the second derivative of a(y) wrt y?
-48*y**2
Let d = 13 - 11. Let u(p) be the third derivative of 0*p + p**d + 1/2*p**3 + 0 + 1/12*p**4. Differentiate u(k) wrt k.
2
Let d = 1 + 4. Suppose -d*m = 4*t - m - 32, 2*t = 5*m - 12. Differentiate 2 + 4*p**4 - 2*p**4 + 0*p**t wrt p.
8*p**3
Let g(p) be the second derivative of 1/56*p**8 + 0 + 0*p**5 - 1/12*p**4 + 0*p**2 - 2*p + 0*p**7 + 0*p**3 + 0*p**6. Find the third derivative of g(r) wrt r.
120*r**3
Let h(o) be the third derivative of -9*o**7/70 + 2*o**5/15 - 7*o**3/6 - 65*o**2. What is the third derivative of h(j) wrt j?
-648*j
Suppose -2*o + 4 = -o. Let c(j) = -15*j**2 + 3. Let r(z) = 31*z**2 - 7. Let q(k) = o*r(k) + 9*c(k). Differentiate q(n) wrt n.
-22*n
What is the second derivative of 3*z**3 - 25*z**3 - 17*z**4 + 22*z**3 - 8*z wrt z?
-204*z**2
Find the second derivative of 8 - 42*n**5 - 8 + 7*n wrt n.
-840*n**3
Let s(o) be the first derivative of -o + 1/2*o**2 - 2. Let a(k) = -k**3 + 3*k**2 + k - 1. Let z(w) = a(w) - s(w). Find the third derivative of z(j) wrt j.
-6
Suppose -4*w + w = -6. Let i(j) = 11*j**2 - 9*j + 5. Let s(h) = -6*h**2 + 4*h - 2. Let z(y) = w*i(y) + 5*s(y). Find the second derivative of z(g) wrt g.
-16
Let z(h) = -9*h**2 + 6*h - 14. Let s be (-1 + 0)*(1 - -4). Let n(q) = 8*q**2 - 5*q + 13. Let b(w) = s*z(w) - 6*n(w). Differentiate b(i) with respect to i.
-6*i
Let x(z) be the first derivative of 14*z**5/5 - 14*z**3/3 + 8. What is the third derivative of x(w) wrt w?
336*w
What is the derivative of -52*t**2 + 97 + 88*t**2 + 2*t**3 - 34 wrt t?
6*t**2 + 72*t
Let l(x) be the first derivative of -17*x**4/2 + 3*x**2 + 7. What is the second derivative of l(g) wrt g?
-204*g
Let a(x) = x**2 - 3*x + 2. Let r be a(3). Find the third derivative of -6*j + 8*j**4 + 4*j + r*j**2 + 2*j wrt j.
192*j
Let p(m) = -m**2 - m + 4. Let x be p(0). What is the third derivative of 0*w**4 + 4*w**x + 3*w**2 + 2*w**2 + w**4 wrt w?
120*w
Let x(n) = -17*n**3 - 4*n**2 + 44*n + 4. Let q(f) = 16*f**3 + 3*f**2 - 45*f - 3. Let g(k) = 4*q(k) + 3*x(k). Find the second derivative of g(z) wrt z.
78*z
Let t be 6/(-21) - 64/(-28). What is the third derivative of 0*i**2 - 4*i**6 + 2*i**t + 0*i**2 wrt i?
-480*i**3
Let i(b) = -b**3 + 3*b**2 + 6*b - 3. Let s be i(4). What is the derivative of -28*u + 64*u - 35*u - s wrt u?
1
Let n(
|
{
"pile_set_name": "DM Mathematics"
}
|
(8/2)/4. Suppose -338 = 3*q - v. Sort -1, 2, 3, q.
q, -1, 2, 3
Let i = 3248 + -3245. Sort -3/2, i, -3, -799.
-799, -3, -3/2, i
Let s = 848/1895 + -18/379. Sort -0.39, s, -4, 0.5 in decreasing order.
0.5, s, -0.39, -4
Let i(c) = 31*c + 2765. Let g be i(-88). Sort -1, 2, g, 6 in decreasing order.
g, 6, 2, -1
Suppose 5*b - u + 5 = 0, 15 = b + u + 22. Sort b, -4, 4, -21, 0 in increasing order.
-21, -4, b, 0, 4
Suppose 9*y - 3*a = 5*y - 20, 0 = -2*y - 4*a + 12. Let k = 12 + -4. Sort k, -2/3, 5/6, y in ascending order.
y, -2/3, 5/6, k
Let g = -2787 - -2797. Put 1, g, 2, 0, -5 in descending order.
g, 2, 1, 0, -5
Let v be 26 + 10/(-4)*(5 + 0 + -3). Sort v, -3, 17 in decreasing order.
v, 17, -3
Let n be 3/(-4 - -1)*(5 - 5). Suppose n = 18*i - 35*i - 34. Let z = 3 + 2. Put i, 2, z in ascending order.
i, 2, z
Suppose 8*o - 72 = -4*o. Suppose -o*l + 80 = 2*l. Sort 4, l, -4, 7 in decreasing order.
l, 7, 4, -4
Let b = 6 - 6.4. Let d = 74.354 - -0.646. Let k = d - 81. Sort b, -2/7, 0.1, k in increasing order.
k, b, -2/7, 0.1
Let p(z) = z**3 + z**2 - 2*z - 2. Let m be p(-1). Let h(k) = -8*k + 164. Let a be h(20). Put m, -5, a, 72 in descending order.
72, a, m, -5
Suppose 74 = 3*f + 68. Let x(y) = -48 + 52 - y**3 - 6*y**f + 2*y + 3*y**2. Let w be x(-3). Put w, 7, -5/4 in increasing order.
w, -5/4, 7
Suppose 13*i - 20*i = 13*i + 15060. Sort -2, i, 0.
i, -2, 0
Let s(r) = -2*r**2 + 16*r + 4. Let y be s(9). Let p be y/4*(-12)/21. Suppose 2*z + 4 = 3*i + 6*z, -4*i + 2 = p*z. Sort i, -4, -2 in decreasing order.
i, -2, -4
Let k = 32 + -36. Let d = -0.0195 + 7.0195. Sort k, 2, 1, d.
k, 1, 2, d
Let a = 1225 - 1228. Sort a, 0, 8 in increasing order.
a, 0, 8
Let z = 17.697 - 15.697. Sort 2/15, -2.12, z, -3/5, -1/6 in decreasing order.
z, 2/15, -1/6, -3/5, -2.12
Let h = -2576 + 2575.6. Put h, 0, 2, -5/3 in descending order.
2, 0, h, -5/3
Let d = 45 - 34. Let i be (-224)/35 + (9 - 2). Put -0.3, d, i in increasing order.
-0.3, i, d
Let q = 2 + 3. Let l(c) = -2*c**2 - 39*c + 24. Let a be l(-20). Let j = 118 - 122. Put j, 0.3, q, a in ascending order.
j, 0.3, a, q
Let u = 6.55 + -6.91. Let x = u - 0.14. Let c = -17 + 17.09. Put x, c, -4 in decreasing order.
c, x, -4
Let j(k) = k**3 - 8*k**2 + 11*k + 22. Let l be j(6). Sort 2, 10, l.
2, 10, l
Suppose 36 = 2*y + 27*p - 31*p, -3*p = 12*y + 54. Suppose 0 = g - 4*r + 2, -5 = -5*g + 2*g + r. Sort g, y, -61.
-61, y, g
Suppose -3*n + 24 = 3*w, -7*w = -11*w + 2*n + 2. Put w, -1, -303 in increasing order.
-303, -1, w
Let c = -67 - -17. Let p = 56 + c. Let z = -3 + 2.8. Sort p, 3, z.
z, 3, p
Let r be 93/13 - 7 - (-287)/(-91). Let x = -82 + 67. Sort x, 2/13, r.
x, r, 2/13
Let g be ((-13)/(-3))/(2/6). Let k = -6995 - -6997. Suppose g*d = k*d - 44. Put 1, -3, 3, d in increasing order.
d, -3, 1, 3
Let v be ((-75)/((-27)/(-9)))/1. Sort 5, v, -3 in descending order.
5, -3, v
Let m = 56 - 45. Suppose -m = -4*q + 41. Let p be q + -9 + (-22)/6. Sort p, -3, 0.2 in decreasing order.
p, 0.2, -3
Suppose -5*z = -8 - 7. Let x be (z/(-6))/(42/24*1). Let w = 5 + -7. Sort 0.6, w, x in decreasing order.
0.6, x, w
Let v(m) = -65*m + 4484. Let l be v(69). Sort l, 1, -5, -6, 13 in descending order.
13, 1, l, -5, -6
Let p be 3/2 + 2/(-4). Suppose -5*a = -4*v + 12, -8 = -3*a - 2*v - 2. Let b be (-166)/2324*(-20 - 1)*2. Sort p, a, b.
a, p, b
Let n = -4.461 - -0.691. Let a = -3.97 - n. Put a, -11, 0.6 in descending order.
0.6, a, -11
Suppose 5*u - 4 = 3*f - 6*f, 4*f = 4*u - 16. Suppose 5*j + 45 = 5*r, -108 + 99 = 3*r + j. Put -1, u, -11, r in decreasing order.
u, r, -1, -11
Let g be 486/378*(-2)/(-18). Sort -7, -0.01, g, 1/6, -0.04 in descending order.
1/6, g, -0.01, -0.04, -7
Let v(m) = -m**2 - 14*m - 28. Let l be v(-11). Sort -1.5, l, -1.3 in descending order.
l, -1.3, -1.5
Let y = -1149 + 1150. Put -1, -2/17, 51, y, 5 in descending order.
51, 5, y, -2/17, -1
Suppose 5*h = -2*j + 16, -25*h + 29*h - 18 = j. Put 28, 2, h, 0 in descending order.
28, h, 2, 0
Let k = 41 - 41.17. Let d = k - -0.17. Let l be 1581/306 + -5*1. Sort -0.1, 4/3, d, l.
-0.1, d, l, 4/3
Let u = -432 + 432.562. Let z = u + -0.315. Sort 2/13, z, 0.3 in increasing order.
2/13, z, 0.3
Let m = -16832 + 16828. Let l(h) = -h**3 + 5*h**2 - 4*h + 5. Let x be l(4). Sort x, m, -66.
-66, m, x
Let i be (6 + (-5 - 3))*-2. Let n(r) = -r**2 + 4*r - 5. Let o be n(7). Sort o, -5, i.
o, -5, i
Let v = 3.6 + -0.4. Let w = -3 + v. Let l = 6.69662 + -0.69662. Put w, l, -5 in decreasing order.
l, w, -5
Let t = 11 - 23. Let z be (-2)/3*306/t. Let r = z - 22. Sort 12, 0, r in ascending order.
r, 0, 12
Let t(u) = 303*u**2. Let j be t(-1). Let k = 298 - j. Sort 0, 10, k in increasing order.
k, 0, 10
Let j = 362 - 357. Suppose -m + 2*x = 4, 6 = -3*m - x + j*x. Suppose 2*y = 7*y - 5. Sort 7, y, m in ascending order.
y, m, 7
Let m(l) = -1063*l - 12854. Let f be m(-12). Sort 5, f, 1 in descending order.
5, 1, f
Let l = -7/18 + 23/90. Suppose 1785 = 110*i - 89*i. Let d = -257/3 + i. Sort d, 16, l in descending order.
16, l, d
Let j = 571 - 575. Put j, 5, 9, -35 in decreasing order.
9, 5, j, -35
Suppose 0 = 4*c - 7 - 13, -910 = 2*q + 2*c. Let z = q - -465. Put z, -1, -0.9 in decreasing order.
z, -0.9, -1
Let j = -98 - -93. Let a be (-1)/10 - 42/30. Let l = 0.98 - 1. Put j, -0.4, l, a in ascending order.
j, a, -0.4, l
Let n = 62012 - 62012.4. Suppose 0*x = -5*i - 3*x - 6, -5*i = 5*x. Sort -0.08, n, i in increasing order.
i, n, -0.08
Suppose -1680 = 1338*d - 1362*d. Put d, -0.5, 3, -2 in increasing order.
-2, -0.5, 3, d
Let q = -19754.6 - -19755.6. Let s be 9/10 - 2/5. Sort -0.2, q, 1/3, s.
-0.2, 1/3, s, q
Let k(m) = m**3 - 12*m**2 + 19*m + 12. Let t = 76 - 76. Suppose t = -22*p + 16*p + 60. Let c be k(p). Sort 0, 4, c in descending order.
4, c, 0
Suppose 168 - 41 = -46*f - 149. Sort -4, -3, -5, f, 28 in ascending order.
f, -5, -4, -3, 28
Let w = 23651 - 307457/13. Let d = -18 + 88/5. Sort d, w, -3/2 in decreasing order.
w, d, -3/2
Let m = -0.057 - 0.443. Let z = -4.89 + 7.02. Let g = z + -0.13. Put g, 10/3, m, -0.3 in decreasing order.
10/3, g, -0.3, m
Let w = -5.4 + 0.4. Let b = -95 - -97. Let q be b*1/2*100/175. Put q, -1/2, w in decreasing order.
q, -1/2, w
Suppose 4*o - 4*w - 16 = -7*w, -o = 4*w - 17. Sort 23, o, -1, -2, 3 in decreasing order.
23, 3, o, -1, -2
Suppose -7*q = -q, 2*p - 7*p + 80 = -2*q. Sort 7, p, -3 in increasing order.
-3, 7, p
Let z(b) = 7*b**3 + 6*b**2 - 60*b + 6. Let h be z(-6). Sort 2, h, -4.
h, -4, 2
Let i = 28 - 16. Suppose -4*h - 3 = 3*m, 13*m + i = -h + 10*m. Let j(d) = d**2 - 6*d - 4. Let l be j(6). Sort h, l, 6 in increasing order.
l, h, 6
Let i be -8 - (-7 - 5) - 5*1. Let s be (0 - i)*1 - (-68)/(-34). Put 4, 2, -14, s in increasing order.
-14, s, 2, 4
Let t be -1*90/25 + -5 + 299/65. Put 66, -5, -1, t in increasing order.
-5, t, -1, 66
Suppose -7*c + 4*c = -2*d + 3, 3*d + 28 = -2*c. Put -75, 5, -2, c, 1 in decreasing order.
5, 1, -2, c, -75
Let d = -36 + 25. Let m = 15031.5 + -15031. Sort m, d, 2.
d, m, 2
Let h(y) = y**3 - 4*y**2 + 5*y - 4. Let v be h(3). Suppose 4*q - 5157*c + 5153*c + 8 = 0, -2*c = 2*q + 4. Put v, q, 0, -5 in descending order.
v, 0, q, -5
Let f = -7 + 15. Suppose 4*n - 2*n = f, 8 = 4*h - 3*n. Let t = 22 + -25. Sort h, -5, 1, t in increasing order.
-5, t, 1, h
Suppose 4*g + 21 = -5*v - 28, g + 4*v + 26 = 0. Let s = 57 - 59. Sort s, -5, -1, g.
g, -5, s, -1
Let w = 0.75 - 1. Let m = 2313.75 - 2311. Let h = m - w. Sort h, 0, -1/7 in descending order.
h, 0, -1/7
Let f = -3 + 5. Let s = -4.83 + 6.4. Let h = 1.67 - s. Put h, 5, f in ascending order.
h, f, 5
Let l(a) = 2*a**2 + 277*a + 1961. Let n be l(-7). Sort -2, n, 5.
-2, 5, n
Let q(y) = -11*y**2 + 265*y - 30. Let o be q(24). Put o, -40, -1 in descending order.
-1, o, -40
Let f(g) = 953*g + 9530. Let p be f(-10). Sort -1, 289, 6, p, -4 in decreasing order.
289, 6, p, -1, -4
Let i = 0.404 + -63.404. Let z = 63.03 + i. Put -1/6, 2/5, 1/3, z in increasing order.
-1/6, z, 1/3, 2/5
Let p = 205 + -206.5. Sort 135, p, -4.
-4, p, 135
Let o = -4106 + 4107. Let x(l) = l**2 - 13*l + 16. Let p be x(12). Put -5, p, o, 3 in increasing order.
-5, o, 3, p
Let p be 40/(-140) - ((-95)/(-35) + -4) - 3480. Put -1, -2, p in decreasing order.
-1, -2, p
Let t(l) = 5*l - 1609. Let y be t(59). Put 0, -0.2, y, -3 in decreasing order.
0, -0.2, -3, y
L
|
{
"pile_set_name": "DM Mathematics"
}
|
ive t.
12
Rearrange (-14*p - 334 + 334 + (-2 - 2 + 5)*(-1 + 1 - 2*p))*(p**2 - 2*p**2 - 2*p**2)*(7 - 2 - 3) to the form g*p**2 + b + t*p + i*p**3 and give i.
96
Rearrange 11*d**2 + 55 - 20 - 3*d - 18 - 18 to g*d + u*d**2 + c and give g.
-3
Rearrange -61*u - 51*u - 56*u + 6*u to the form w*u + s and give w.
-162
Express (191 - 15 + 39)*(1 + 2*b - 1) as p + o*b and give o.
430
Rearrange -6*w**3 - 4*w**2 + 2*w**3 - 176 + 177 + 4*w to u + h*w**2 + z*w + d*w**3 and give u.
1
Express -56*s - 10*s + 8*s**2 - 16*s**2 + 9*s**2 + s**3 - 91*s in the form a*s**2 + y*s**3 + w*s + d and give w.
-157
Express (5*l**2 - 4*l**2 - 2*l**2)*(7571 - 7571 + 128*l) + 5 - 5 + l**3 - l**3 + 0*l + 0*l as a + g*l**2 + s*l + n*l**3 and give n.
-128
Express (4 + 2*d - 4)*(2*d**2 + d - d) - 2*d**3 - d**3 + 2*d**3 + 603*d**3 + 577*d**3 - 978*d**3 in the form k*d + t + z*d**2 + q*d**3 and give k.
0
Express (13 + 10 + 1)*(-57 + 57 - 25*y**2) as x*y**2 + d + w*y and give x.
-600
Express 29*f**2 + 0 + 6*f - 1 - 6*f + 2 as u*f + d + p*f**2 and give p.
29
Express 14 - 3*k + 7*k - 3*k + 104 as v + r*k and give r.
1
Rearrange (5 + 3*r - 5)*(-19*r - 34 + 34) + 1126 - 1126 - r**2 - 2*r to b + q*r**2 + l*r and give l.
-2
Express -20*w + 2*w**2 + 272 - 17*w - 9*w + 46*w as f*w + l + d*w**2 and give d.
2
Rearrange -1417*g**2 - 333*g + 116*g + 110*g + 109*g to the form l*g + m + v*g**2 and give l.
2
Express (57 - 86 - 118)*(-4 + 3 + 0)*(-r + 2*r**3 - r**2 + 0 + 0) - r**3 + 0*r**3 - r**3 in the form c*r + g + f*r**3 + d*r**2 and give d.
-147
Express f - 16*f**3 + 8*f**3 + 2*f**3 - 2*f**2 as s + l*f**2 + x*f + c*f**3 and give c.
-6
Express -s + 3*s + 3*s - s - 7*s + 165 in the form p + r*s and give p.
165
Rearrange 2*m - 27 - 1 - 23 + (0*m - m + 0*m)*(-7 + 2 + 3) + 0*m - 3*m + 2*m to n*m + l and give l.
-51
Rearrange (-124 - 56 + 42)*(2*z - z - 3*z) to m*z + j and give m.
276
Express (3*s - 4*s + 2*s)*((-1 + 1 - 6*s**2)*(4 - 3 + 0) + 4*s**2 - 40 + 40) as i + u*s**3 + m*s**2 + r*s and give u.
-2
Rearrange -15*l**3 + 14*l**3 + 7*l**3 - 2*l**2 - 24*l + 7*l to c*l + p*l**3 + y + j*l**2 and give p.
6
Express 5831*c**2 + 2 + 3*c - 23*c**3 - 5831*c**2 as o*c**2 + s*c**3 + m*c + w and give s.
-23
Rearrange -13*a**2 - 4 - 9 + 10*a**4 - 11*a**4 - 9 + 12*a**2 to x*a**3 + y*a**4 + d*a**2 + w*a + j and give j.
-22
Rearrange 2*m**2 + 14*m + 29*m - 10*m - 2 - m**3 + m to the form a*m**3 + r*m + d*m**2 + s and give r.
34
Rearrange (-c**3 - 2*c**3 + c**3)*(-4 + 4 + 2 + (0 - 1 - 1)*(-4 + 1 + 1) + (13 - 1 + 3)*(16 + 19 - 42)) to the form l*c**3 + m + j*c + y*c**2 and give l.
198
Express (-1140 + 93 + 51)*(-3*c + 0*c + c - 2) in the form y + d*c and give d.
1992
Express (-3*b + 21 - 21)*(0*b**2 + 4*b**2 - 5*b**2) + (b**2 + b**2 - b**2)*(-7*b + 0*b + 2*b) as s*b**3 + c*b + k*b**2 + u and give u.
0
Rearrange -16*c**3 + 1 + 19*c**3 - 42*c**2 - 3 + 2 to z*c**3 + g*c + q + x*c**2 and give x.
-42
Rearrange -57*q**2 - 42*q**2 + 140*q**2 - 41*q**2 + 2*q - 1116*q**3 to i + c*q + b*q**3 + r*q**2 and give b.
-1116
Rearrange -72*d**2 - 2*d + 1 + 226*d**2 - 80*d**2 + 34*d**4 + 3*d**3 - 74*d**2 to the form b*d**2 + q*d + r*d**3 + x*d**4 + h and give q.
-2
Rearrange -17*u - 192 - 190 - 193 + 564 to the form s + x*u and give s.
-11
Rearrange (4 - 2 - 5)*(-7 - 2*k + 7)*(-5 + 23 + 11) to x + u*k and give u.
174
Rearrange 56 + 8*r**2 - 122 - 5*r**2 to o*r**2 + q + n*r and give o.
3
Express 319 - 319 - 17*l**2 + (0 + 1 + 2)*(0*l + 0*l + 2*l**2) in the form i*l + b*l**2 + f and give b.
-11
Rearrange -7*x**2 - 6*x + 5*x**2 - 8*x**2 + 4*x to m*x + s*x**2 + o and give s.
-10
Express 9*h**3 - 14*h**2 - h**3 + 13*h - 4*h**3 + h**3 - 4*h**3 in the form y*h**2 + v*h**3 + n*h + r and give v.
1
Rearrange -150*u + 50*u - 164*u to the form w*u + c and give w.
-264
Express (3 + 1 - 3)*(0 + 0 + 1)*(-25*i + 4*i + 203*i) as s + n*i and give n.
182
Express 15*u**2 - 2*u**3 + 18*u**2 - 34*u**2 - 14*u in the form j*u**3 + k*u**2 + l*u + r and give l.
-14
Rearrange (3 - 3 - 5)*(m - 26 + 27 + 2*m) to the form k*m + w and give k.
-15
Rearrange 44*t - 433 + 433 to x*t + y and give x.
44
Express -4*m + 4 + 0*m**3 - 14 - 9*m**3 + 19 in the form c*m**2 + a + u*m + b*m**3 and give a.
9
Rearrange (0*x - 2*x - 4*x)*(-9 - 76*x**3 + 9) to b*x**4 + w*x**2 + p + m*x**3 + k*x and give m.
0
Express 58 + 8*q - 58 in the form w*q + f and give w.
8
Express 615*d**2 + 209*d**2 + 90*d**2 as l + w*d**2 + j*d and give w.
914
Rearrange (-7264*r + 7264*r - 221*r**4 - 2)*(2 - 6 + 3) to p*r**2 + z*r**4 + b*r + c + y*r**3 and give z.
221
Rearrange -4 - 4*g**3 + 4 + (-17*g**2 - 8*g**2 - g**2)*(2*g - 3 + 3) to u + s*g + i*g**3 + p*g**2 and give i.
-56
Express (3 + 2*u - 1 - u)*(-1262 + 588 + 573) as a*u + q and give q.
-202
Express -23 + 12*b**3 + 8*b**4 + 24 + 0*b - 10*b**4 - 2*b as c + t*b + n*b**4 + g*b**2 + x*b**3 and give g.
0
Express 0 - 573*n**2 - 476*n**2 + 1199*n**2 + 0 - 4*n as m*n**2 + a*n + g and give a.
-4
Rearrange -17 + 26 - 51*k - 12 to the form r*k + f and give r.
-51
Rearrange (5*q - 2*q - 4*q + (4 - 1 - 1)*(0*q + 0*q - 5*q))*(-4 - 38 + 7) to p*q + r and give p.
385
Rearrange (-2 + 4 + 0 + 3*h + (2 - 5 + 2)*(4*h + 0 + 0))*(1 + 47 + 11) to the form t*h + a and give a.
118
Rearrange -141*g**3 - 154*g**3 - 195*g**3 - 2*g + 426*g**3 to the form l + u*g + p*g**3 + t*g**2 and give u.
-2
Express -407*r + 503*r - 273*r in the form c*r + v and give c.
-177
Express -33*w**2 + 167 - 80 - 86 + 5*w**4 as i*w**4 + s*w + q*w**3 + f*w**2 + r and give r.
1
Rearrange (264 - 264 + 56*k)*(5*k - k - 3*k) to f + j*k + x*k**2 and give x.
56
Express -16*g + 15*g**3 + 56 - 57 + 18*g as s + z*g + v*g**3 + j*g**2 and give z.
2
Express -221*j**2 - 414*j**2 - 196*j**2 in the form x + y*j + r*j**2 and give r.
-831
Rearrange 240*k**2 - 2*k**3 - 119*k**2 + 4 - 123*k**2 + 12 to the form x*k + f*k**3 + j*k**2 + g and give j.
-2
Rearrange 15*j**2 - 83*j + 32*j**2 + 83*j + 51*j**2 to h*j + s + v*j**2 and give v.
98
Rearrange 14 - 7 - 5 - 46*h to l + p*h and give p.
-46
Express (5*m - 2*m + 0*m)*(-40*m - 97*m - 152*m) as v*m**2 + x*m + i and give x.
0
Rearrange (-25 + 44 + 311)*(3*f - 2*f**2 + f**2 - f**2) to the form o*f**2 + y + l*f and give y.
0
Express 917*f + 197*f + 1002*f - 54*f in the form p*f + c and give p.
2062
Express 2*b - 4*b + 45*b**3 - 783 + 781 as o*b**3 + w + g*b + v*b**2 and give o.
45
Express (0*n**2 + 0*n**2 - n**3)*(-675*n + 25962 - 25962) + 19*n**2 - 19*n**2 - 6*n**4 as h*n**4 + i*n**3 + c*n**2 + q*n + u and give h.
669
Rearrange i**2 + 900*i**3 - 449*i**3 + 38*i - 449*i**3 + 122*i to d*i + h*i**2 + l + j*i**3 and give d.
160
Express q + 17*q**2 + q**3 - 17*q**2 - 4*q**3 + q**3 + 0*q**3 + (-q + 2*q + 4*q)*(0 - 2*q**2 + 0) in the form k*q**3 + a + p*q + x*q**2 and give p.
1
Rearrange 2*o + 53*o**2 - 175*o**2 - 2*o**3 + 66*o**2 + 60*o**2 to the form x*o + m*o**3 + d + p*o**2 and give x.
2
Rearrange (-4 - 21 - 17 + (2 + 1 - 4)*(0 + 2 + 0) + (-5 + 2 + 1)*(1 + 0 + 1) + 3 + 0 - 5)*(-3*b + 2 - 2) to n + x*b and give x.
150
Rearrange -13 - 3 + 3*q + 42 - 15 to the form b + u*q and give b.
11
Rearrange -87*n - 165*n - 1 + 62*n + (3*n + 3*n - 4*n)*(-6 + 2 + 3) to v*n + w and give v.
-192
Rearrange (-3*h - 8 + 8)*(0*h**3 - 34*h**3 + 68 - 66) to the form y*h**4 + n*h + c*h**3 + g + q*h**2 and give n.
-6
Rearrange 57*f**2 - 341*f - 22*f**2 - 36*f**2 to b + k*f + t*f**2 and give b.
0
Rearrange 9*l**4 + 2 + 358470*l**2 + 2*l**4 - 358466*l**2 - 5*l to v*l**4 + m*l + b*l**2 + j + y*l**3 and give m.
-5
Express 4*r + 7*r**2 - 5*r - r + 59 - 71 as v + o*r + t*r**2 and give t.
7
Express -56*k**3 - 2*k**2 - 2 - 97*k + 65*k**3 - 12*k**3 + (0*k - 2*k + 4*k)*(0*k**2 + 0*k**2 + 4*k**2) in the form l*k + v*k**2 + m + s*k**3 and give v.
-2
Express -77*v - 3844 + 3844 in the form w*v + j and give w.
-77
Express -4*z - 2 - 2 - 3*z + 2*z - 4*z in the form i*z + l and give l.
-4
Express -2*x + 2*x + x**2 + (-4*x + 7*x + x)*(-5*x + 5 - 5*x + 13*x) as m*x**2 + v + w*x and give w.
20
Rearrange -4 - 8 - l**3 + 20*l + 5 - 33*l + 19*l to w + u*l**3 + c*l**2 + z*l and give z.
6
Express 66*z - 3 + 96*z - 14*z + 3 in the form v + n*z and give n.
148
Rearrange n + 4*n - 20*n - 3 to i*n + g and give i.
-15
Express 13 + 0 - 358*r - 3 - 10 in the form i*r + m and give i.
-358
Express (3 - 3 - 3)*(0*k + k - 2*k)*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
6/4845
What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvv?
1
Three letters picked without replacement from gggggggguggg. Give prob of picking 1 u and 2 g.
1/4
What is prob of picking 1 h and 1 g when two letters picked without replacement from {h: 6, g: 7}?
7/13
Two letters picked without replacement from snizell. Give prob of picking 2 l.
1/21
Three letters picked without replacement from {k: 2, c: 4, m: 2, n: 4, r: 3, d: 3}. What is prob of picking 1 c and 2 m?
1/204
Three letters picked without replacement from vvvhvvhvvhvv. Give prob of picking 1 v and 2 h.
27/220
Two letters picked without replacement from qffswqxsqf. What is prob of picking 2 w?
0
Calculate prob of picking 1 u and 2 g when three letters picked without replacement from ggugguggggg.
24/55
Three letters picked without replacement from {a: 1, m: 1, b: 2}. What is prob of picking 1 m, 1 b, and 1 a?
1/2
Three letters picked without replacement from yppityijiiiitiitj. Give prob of picking 1 t and 2 i.
21/170
What is prob of picking 3 y and 1 q when four letters picked without replacement from {y: 8, q: 1, i: 1, c: 8}?
14/765
Two letters picked without replacement from {l: 5, u: 7, x: 3, c: 2, f: 3}. What is prob of picking 1 f and 1 c?
3/95
Calculate prob of picking 1 w, 1 x, and 2 k when four letters picked without replacement from {k: 5, w: 1, b: 2, f: 1, t: 4, x: 2}.
4/273
Four letters picked without replacement from cggjgcjjcjgj. What is prob of picking 3 g and 1 c?
4/165
Two letters picked without replacement from {u: 6, a: 6}. Give prob of picking 1 u and 1 a.
6/11
Three letters picked without replacement from {x: 5, s: 7}. What is prob of picking 3 x?
1/22
Calculate prob of picking 3 b and 1 g when four letters picked without replacement from gbbbbg.
8/15
What is prob of picking 1 e, 2 h, and 1 o when four letters picked without replacement from geggehhughhohrogg?
2/119
Four letters picked without replacement from {v: 7, n: 1, e: 5}. What is prob of picking 2 v and 2 e?
42/143
Three letters picked without replacement from {l: 9, h: 4, a: 3}. What is prob of picking 2 l and 1 a?
27/140
Two letters picked without replacement from sjxjj. What is prob of picking 1 s and 1 x?
1/10
Calculate prob of picking 1 y and 3 b when four letters picked without replacement from vvyyybybbvvv.
4/495
What is prob of picking 2 z when two letters picked without replacement from {h: 3, z: 3}?
1/5
Calculate prob of picking 4 b when four letters picked without replacement from {n: 1, b: 5, r: 6, c: 6, s: 1}.
5/3876
Calculate prob of picking 2 f and 2 i when four letters picked without replacement from kcifiiiffkiiifi.
8/65
Three letters picked without replacement from ktxxxkktkkkxkx. Give prob of picking 3 k.
5/52
What is prob of picking 1 d and 1 o when two letters picked without replacement from dodd?
1/2
Three letters picked without replacement from zzzzcccccxkxcgxkz. Give prob of picking 1 x, 1 z, and 1 c.
9/68
What is prob of picking 1 v and 1 n when two letters picked without replacement from {r: 6, v: 2, n: 10}?
20/153
Calculate prob of picking 3 v and 1 z when four letters picked without replacement from vvvvvvvvvvvzzz.
45/91
What is prob of picking 1 m and 2 f when three letters picked without replacement from {m: 1, f: 2, y: 1, i: 1}?
1/10
What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 2, l: 5, g: 9}?
3/20
What is prob of picking 3 q when three letters picked without replacement from {q: 6, e: 2, w: 5}?
10/143
Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {m: 5, v: 4, u: 2}.
2/11
Two letters picked without replacement from bxgwk. Give prob of picking 1 w and 1 x.
1/10
Calculate prob of picking 1 a and 1 y when two letters picked without replacement from jeeannyaeyeu.
2/33
Two letters picked without replacement from qqqntqqqtnqnqqqqqq. What is prob of picking 1 n and 1 t?
2/51
Calculate prob of picking 2 b and 1 o when three letters picked without replacement from {b: 6, o: 3, x: 4}.
45/286
Four letters picked without replacement from inclililncillcc. What is prob of picking 2 l and 2 i?
4/91
Two letters picked without replacement from {e: 1, h: 3, j: 2, d: 3, c: 2, a: 3}. Give prob of picking 2 h.
3/91
Two letters picked without replacement from {s: 2, v: 1, w: 1, k: 1, m: 2}. Give prob of picking 1 k and 1 w.
1/21
Two letters picked without replacement from {m: 2, d: 1, l: 1, k: 2, y: 4}. Give prob of picking 1 l and 1 m.
2/45
Four letters picked without replacement from {n: 7, x: 4, r: 3}. What is prob of picking 4 x?
1/1001
Two letters picked without replacement from zddzddrddrdrddddzd. Give prob of picking 1 z and 1 d.
4/17
What is prob of picking 1 p and 1 x when two letters picked without replacement from prppxrxrprp?
2/11
Three letters picked without replacement from {k: 8, j: 3}. Give prob of picking 1 j and 2 k.
28/55
Calculate prob of picking 2 l when two letters picked without replacement from lllllll.
1
Two letters picked without replacement from {q: 4, o: 6, t: 1, z: 3, x: 3, p: 2}. Give prob of picking 1 p and 1 z.
2/57
Two letters picked without replacement from dxxddxxixxdxdixdx. What is prob of picking 2 d?
15/136
Three letters picked without replacement from ywbruiybr. What is prob of picking 1 r, 1 y, and 1 b?
2/21
Three letters picked without replacement from zuzuu. Give prob of picking 1 z and 2 u.
3/5
Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {o: 11, u: 5, f: 1}.
5/136
What is prob of picking 2 c when two letters picked without replacement from {x: 1, c: 3, m: 11}?
1/35
What is prob of picking 1 h and 3 q when four letters picked without replacement from hqqhqqxhhhqhqqqqhhh?
63/323
Four letters picked without replacement from {s: 2, a: 1, h: 2, g: 1, j: 1}. Give prob of picking 1 j, 1 g, and 2 s.
1/35
Three letters picked without replacement from ngtgtxtnglggttg. Give prob of picking 2 t and 1 g.
12/91
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from loqoppooplpoloc.
6/35
Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {b: 6, u: 3, e: 1, p: 5, x: 5}.
1/76
Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {h: 4, v: 3, q: 2}.
2/9
Two letters picked without replacement from {x: 3, y: 2, l: 4, b: 1, v: 1, u: 4}. What is prob of picking 1 y and 1 x?
2/35
What is prob of picking 1 d, 1 n, 1 s, and 1 o when four letters picked without replacement from {s: 3, n: 2, q: 6, w: 1, o: 5, d: 2}?
5/323
Two letters picked without replacement from sdwnd. What is prob of picking 1 n and 1 s?
1/10
What is prob of picking 1 j and 1 t when two letters picked without replacement from {h: 8, q: 2, j: 1, t: 4}?
4/105
Three letters picked without replacement from {l: 4, x: 9, i: 4}. Give prob of picking 1 l and 2 x.
18/85
What is prob of picking 1 b and 1 x when two letters picked without replacement from {g: 1, b: 4, u: 4, x: 5, t: 4, m: 1}?
20/171
Three letters picked without replacement from {k: 1, z: 1, p: 3}. Give prob of picking 1 p, 1 k, and 1 z.
3/10
Two letters picked without replacement from {w: 1, b: 16, v: 3}. Give prob of picking 1 b and 1 w.
8/95
Two letters picked without replacement from {p: 3, e: 7, k: 2}. What is prob of picking 1 e and 1 p?
7/22
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 5, e: 2, s: 3, i: 5, y: 5}.
5/38
Calculate prob of picking 3 k when three letters picked without replacement from {k: 7}.
1
Two letters picked without replacement from kxxnnkkk. Give prob of picking 1 x and 1 k.
2/7
Four letters picked without replacement from {m: 2, g: 1, n: 2, i: 1, b: 5, o: 5}. Give prob of picking 2 m and 2 o.
1/182
Three letters picked without replacement from hndhxwzn. What is prob of picking 1 n, 1 w, and 1 h?
1/14
Two letters picked without replacement from gggssgosos. What is prob of picking 1 s and 1 g?
16/45
What is prob of picking 2 s and 1 e when three letters picked without replacement from sssessesss?
7/15
Two letters picked without replacement from {f: 8, a: 3, u: 5, p: 1, h: 3}. What is prob of picking 1 a and 1 u?
3/38
Fo
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -o*t + 4 + 16 = 0. Factor 0 + 2/7*g**3 + 2/7*g**t + 0*g.
2*g**2*(g + 1)/7
Let r(m) be the second derivative of m**4/8 + 133*m**3/4 + 393*m**2/2 - 5*m - 241. Find f, given that r(f) = 0.
-131, -2
Let 0*s + 273/2*s**2 + 1/2*s**4 + 0 - 137*s**3 = 0. Calculate s.
0, 1, 273
Let u(d) be the first derivative of 9*d**4/28 + 1894*d**3/7 - 3791*d**2/14 + 632*d/7 - 8834. Factor u(v).
(v + 632)*(3*v - 1)**2/7
Let d = 28 + -28. Suppose -2*p + 5 + 1 = d. Factor -6*t**2 - 7*t**p + 9 - 24*t - 2*t**3 + t**4 + t**3 + 28*t**2.
(t - 3)**2*(t - 1)**2
Solve 26 + 1381/4*g**2 + 75/4*g**4 - 399/2*g - 773/4*g**3 + 11/4*g**5 = 0.
-13, 2/11, 1, 4
Let k(m) = m**3 - m**2 - m. Let y(p) = 8*p**3 - 15*p**2 - 9*p. Let o be (-4)/((-8)/(-3))*-6. Suppose 4*u = o*u + 90. Let g(z) = u*k(z) + 2*y(z). Factor g(f).
-2*f**2*(f + 6)
Let d(v) = 57*v - 375. Let m be d(7). Let w be (m/(-20))/(99/(-60)). Find a, given that 8/11*a**3 - w*a - 4/11*a**2 + 6/11 - 2/11*a**4 = 0.
-1, 1, 3
Let z(k) be the second derivative of -k**4/16 - 281*k**3/8 + 423*k**2/4 - k + 465. Factor z(u).
-3*(u - 1)*(u + 282)/4
Let u(d) = -24*d**2 - 13*d + 3. Let w(j) = -277*j**2 - 144*j + 32. Let b(s) = -69*u(s) + 6*w(s). Factor b(n).
-3*(n - 5)*(2*n - 1)
Suppose 4*v + 2*x - 6 = 32, 0 = 5*v + 3*x - 47. Let i be 56/24 + 4 + v/(-3). Factor 9*j + 3/4*j**4 + 12*j**2 + 21/4*j**i + 0.
3*j*(j + 2)**2*(j + 3)/4
Suppose 5*v - 8*v = -4*w + 785, 0 = 5*w - 4*v - 982. What is j in 4*j**2 + j**2 + 526 - 177*j + w + 57*j = 0?
12
Let m = 5 + -9. Let u be -1*m/14 + (-168)/(-98). Solve 0*w**4 + w**3 + 7*w**3 + 3*w**4 - u*w**3 = 0 for w.
-2, 0
Let u(r) = 72*r - 68. Let i be u(-9). Let c = i + 722. Suppose 0 - 15/2*o**5 + c*o**4 + 9*o**3 - 3/2*o - 6*o**2 = 0. What is o?
-1, -1/5, 0, 1
Factor -736/7 - 400/7*m - 2/7*m**3 - 62/7*m**2.
-2*(m + 4)**2*(m + 23)/7
Factor 608/7*f**3 + 128/7 - 704/7*f**2 + 192/7*f - 216/7*f**4 + 4*f**5.
4*(f - 2)**4*(7*f + 2)/7
Let k(f) = f**3 + 14*f**2 - 27*f - 36. Let j be k(-11). Factor 36 - 80*s + 5723*s**2 - 1587*s**3 - 686*s**2 - j*s - 136*s.
-3*(s - 3)*(23*s - 2)**2
Factor -673/9*h**2 + 616/9*h + 283/9*h**3 - 196/9 - 31/9*h**4 + 1/9*h**5.
(h - 14)**2*(h - 1)**3/9
Let k(a) = -2192*a - 8. Let y be k(-1). Factor 127*h**3 + 10660*h - 17576 + y*h + 37*h**3 - 2340*h**2 - 4*h**4.
-4*(h - 13)**3*(h - 2)
Let v be 28/(-70) - (-204)/85. Let d(t) be the first derivative of 3/8*t**v - 26 - 3/2*t + 1/4*t**3. Factor d(k).
3*(k - 1)*(k + 2)/4
Let h(u) be the first derivative of 5*u**4/4 + 15*u**3 + 20*u**2 - 300*u - 11. Factor h(k).
5*(k - 2)*(k + 5)*(k + 6)
Let g(z) be the first derivative of 2/15*z**3 - 38/5*z - 3 + 18/5*z**2. Factor g(n).
2*(n - 1)*(n + 19)/5
Let z(l) be the third derivative of l**6/360 + 16*l**5/5 + 383*l**4/24 + 287*l**3/9 + l**2 - 255. Let z(r) = 0. Calculate r.
-574, -1
Suppose 41*h - 6338 + 6133 = 0. Let d(p) be the second derivative of 20*p + 0 + 3/2*p**2 + 1/2*p**4 + 3/40*p**h + 5/4*p**3. Let d(k) = 0. What is k?
-2, -1
Suppose 0 = -3*d + 625 - 37. Factor d*u**3 - 104*u**3 + 15*u - 97*u**3 - 10*u**2.
-5*u*(u - 1)*(u + 3)
Let f = 391 + -321. Factor -69 - 110 + 2*t**2 - 17 - f*t + 48.
2*(t - 37)*(t + 2)
Solve -5*w**4 - 25*w**2 + 35*w + 40*w**3 - 20*w**3 - 22*w**3 + 30 - 7*w**3 - 26*w**3 = 0.
-6, -1, 1
Suppose -56/19*n**2 + 2/19*n**4 - 96/19*n + 0*n**3 + 0 = 0. What is n?
-4, -2, 0, 6
Factor 30*z**3 - z**3 + 107580*z - 13*z**3 + 1316*z**2 - 12*z**3 - 108900.
4*(z - 1)*(z + 165)**2
Factor 31*q**2 + q - 6*q**2 - 146 - 148*q - 13*q**2 - 13*q**2.
-(q + 1)*(q + 146)
Let s be -2*(-2)/36*3. Let j be -31 - (-25 - -12) - 2420/(-132). Factor j*n**2 + s*n**3 - 1/3 - 1/3*n.
(n - 1)*(n + 1)**2/3
Let r(t) be the first derivative of 62 + 2*t**3 + 21/2*t**2 + 9*t. Factor r(c).
3*(c + 3)*(2*c + 1)
Factor -42*x - 159*x**4 - 5*x - 51*x**2 - 3*x**3 - 156*x**4 + 318*x**4 + 2*x.
3*x*(x - 5)*(x + 1)*(x + 3)
Determine h, given that 43*h**4 + 66*h**2 - 144*h + 16*h**2 - 16*h**2 + 2019*h**3 + 41*h**4 = 0.
-24, -2/7, 0, 1/4
Let j(u) be the third derivative of u**8/80640 - u**7/1680 + 49*u**5/20 - 5*u**2. Let m(z) be the third derivative of j(z). Factor m(r).
r*(r - 12)/4
Let b = 16 + -5. Suppose -3*a - 5 + b = 0. What is c in -2*c**2 + 9*c - 13*c - 2*c**a = 0?
-1, 0
Let c = -474 + 479. Let -18*h**2 + h**3 + 12*h**4 + 3*h**3 - h**3 + 3*h**c = 0. Calculate h.
-3, -2, 0, 1
Suppose 308 = -724*h + 801*h. Let d(r) be the first derivative of 0*r + 3/20*r**h - 9 + 0*r**2 - 2/5*r**3. Suppose d(q) = 0. What is q?
0, 2
Determine g so that -36*g**2 + 87*g**3 + 160*g - 43*g**3 - 45*g**3 = 0.
-40, 0, 4
Let d(g) be the third derivative of g**7/210 - 9*g**6/40 - 59*g**5/60 + 9*g**4/8 + 29*g**3/3 + 1180*g**2. Find r, given that d(r) = 0.
-2, -1, 1, 29
Let l(n) = -24964*n**2 - 7596*n - 570. Let y(k) = -49928*k**2 - 15194*k - 1139. Let z(m) = 13*l(m) - 6*y(m). Factor z(b).
-4*(79*b + 12)**2
Let k(b) be the second derivative of 0*b**3 + 0*b**2 - 35*b + 2/3*b**4 - 1/20*b**5 + 0. Factor k(v).
-v**2*(v - 8)
Suppose 207*j + 2174*j - 2322 - 2440 = 0. Solve -12/5*c**2 + j*c + 24/5 + 2/5*c**3 = 0.
-1, 3, 4
Let k be (-4)/(40/(-6)) - (-17)/5. Suppose -4*h + 23*z + k = 27*z, h + 4*z - 4 = 0. Let -2/7*a**2 + h*a + 0 - 1/7*a**3 + 1/7*a**4 = 0. Calculate a.
-1, 0, 2
Let d = -2/625193 + 2500790/5626737. Let 2/9*i**4 - 8/9*i**2 + d*i - 4/9*i**3 + 2/3 = 0. Calculate i.
-1, 1, 3
Suppose -11*o + 3*n = -19*o + 39, o = n - 2. Find p, given that 1331/7 + 363/7*p + 1/7*p**o + 33/7*p**2 = 0.
-11
Let a(o) = -4*o + 157. Let v be a(33). Let -c**3 - v*c**2 - 4 + 35*c**2 + 4 - 15*c - 10*c = 0. What is c?
0, 5
Let v(g) be the third derivative of -g**7/70 + 3*g**6/20 + 407*g**5/20 - 156*g**4 - 21632*g**3 + 2624*g**2. Factor v(h).
-3*(h - 16)**2*(h + 13)**2
Let g(r) = -4*r**3 - 20*r - 6. Let x(z) = 1 + 6*z**3 - 4*z**3 + 3*z**3 + 21*z + 1 + 3. Let j(u) = -7*g(u) - 6*x(u). Factor j(o).
-2*(o - 3)*(o + 1)*(o + 2)
Let f be 1 + 3 - (13 + -11). Let -q**2 - 45 + 24*q + 2*q**2 + q**2 + q**f + 18 = 0. What is q?
-9, 1
Factor -2/11*k**2 + 216/11 + 46/11*k.
-2*(k - 27)*(k + 4)/11
Suppose -9*s = -74 + 2. Factor 40*t**2 - 20*t**2 - s*t + 33*t - 40*t**2.
-5*t*(4*t - 5)
Suppose -897 - 3*v**2 - 1911*v - 1900 + 889 = 0. Calculate v.
-636, -1
Let o = -4635/8 - -78875/136. Solve -4/17*q**3 + 4/17*q + 0 + 10/17*q**2 - o*q**4 = 0.
-1, -2/5, 0, 1
Let k(j) be the third derivative of -9*j**7/70 - 23*j**6/40 - 3*j**5/10 + j**4 - 146*j**2 - 2*j. Factor k(r).
-3*r*(r + 1)*(r + 2)*(9*r - 4)
Let i(w) = -2*w**3 + 14*w**2 + w - 5. Let z(h) = h**2 + 9*h + 25. Let n be z(-6). Let o be i(n). Factor 8/3*t - 2 - 2/3*t**o.
-2*(t - 3)*(t - 1)/3
Let h(k) be the third derivative of k**5/40 + 75*k**4/8 + 2*k**2 + 1391*k - 1. Determine f, given that h(f) = 0.
-150, 0
Let a be 16/(-40) + 34/10 + 4. Suppose c**4 - 96 + 50 - 9*c + 38 + a*c**2 + 9*c**3 = 0. Calculate c.
-8, -1, 1
Let w(t) be the second derivative of t**5/15 - 586*t**4/9 + 56840*t**3/3 + 115248*t**2 + 1169*t. Factor w(v).
4*(v - 294)**2*(v + 2)/3
Let r = -385318 + 385318. What is m in r - 1/3*m**5 - 5/3*m**3 - 5/3*m**4 + 5/3*m**2 + 2*m = 0?
-3, -2, -1, 0, 1
Let n(a) = -13*a**2 + 148*a - 13. Let b(t) = -9*t**2 + 99*t - 6. Let o(c) = 7*b(c) - 5*n(c). What is m in o(m) = 0?
1/2, 23
Let w be ((-10)/(-55))/((-32)/(-88)). Suppose -10*s + 32 = 6*s. Find r such that 2*r**s + 0 - 5/2*r + w*r**3 = 0.
-5, 0, 1
Let z(a) = a + 9*a - 5*a - 31. Let x be z(9). Factor -9*m + 2 + 0*m - x*m**3 - 2*m**2 + 23*m.
-2*(m - 1)*(m + 1)*(7*m + 1)
Let l = 494 - 510. Let z(u) = u**2 + 3*u - 1. Let w(p) = 12*p**2 + 172*p + 112. Let k(r) = l*z(r) + w(r). Factor k(m).
-4*(m - 32)*(m + 1)
Let m(y) be the second derivative of -1/35*y**5 - 16/21*y**3 + 46*y - 2 + 0*y**2 - 3/7*y**4. Determine i so that m(i) = 0.
-8, -1, 0
Let i(j) be the first derivative of 0*j**3 + 15/2*j**2 - 10*j + 222 - 5/4*j**4. Factor i(c).
-5*(c - 1)**2*(c + 2)
Let x be 0/(-7) - 3 - -5. Solve -a**5 - 20*a**3 - 100*a**2 + 8*a**4 + 209*a**x + 3*a**3 - 99*a**2 = 0.
0, 1, 2, 5
Let j = -675684 + 675688. Factor -2*r**3 + 0 + 20/9*r**2 + 0*r - 2/9*r**j.
-2*r**2*(r - 1)*(r + 10)/9
Let h(u) = -15*u - 130. Let a be h(-9). Let o(k) = 3*k**2 + 21*k - 13. Let c be o(14). Let -889 - a*i**2 + 10*i + 15*i + c = 0. What is i?
1, 4
Let p be (1 - (3 - 6))*(-8)/(-11 + -37). What is s in -8/3*s**3 + 2*s**2 + p*s**4 - 8/3 + 8/3
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 618 minutes before 5:59 PM?
7:41 AM
What is 485 minutes after 7:31 AM?
3:36 PM
What is 243 minutes before 4:49 AM?
12:46 AM
How many minutes are there between 3:09 PM and 8:19 PM?
310
What is 250 minutes after 3:17 AM?
7:27 AM
How many minutes are there between 12:17 AM and 6:12 AM?
355
What is 429 minutes before 11:27 PM?
4:18 PM
How many minutes are there between 11:06 PM and 6:49 AM?
463
How many minutes are there between 6:48 PM and 9:34 PM?
166
What is 432 minutes before 2:41 PM?
7:29 AM
How many minutes are there between 12:15 PM and 11:31 PM?
676
How many minutes are there between 1:00 AM and 9:12 AM?
492
How many minutes are there between 6:12 PM and 4:39 AM?
627
How many minutes are there between 8:12 AM and 1:17 PM?
305
What is 328 minutes before 3:23 PM?
9:55 AM
What is 127 minutes after 5:44 PM?
7:51 PM
How many minutes are there between 9:35 PM and 4:47 AM?
432
What is 474 minutes after 4:59 PM?
12:53 AM
How many minutes are there between 1:59 PM and 8:24 PM?
385
What is 660 minutes before 10:42 PM?
11:42 AM
How many minutes are there between 3:41 AM and 1:14 PM?
573
How many minutes are there between 6:04 PM and 3:42 AM?
578
What is 423 minutes after 4:06 PM?
11:09 PM
How many minutes are there between 10:57 PM and 3:11 AM?
254
What is 246 minutes before 11:35 PM?
7:29 PM
What is 623 minutes before 4:20 PM?
5:57 AM
What is 669 minutes after 1:31 PM?
12:40 AM
What is 313 minutes before 5:09 PM?
11:56 AM
What is 707 minutes after 7:36 AM?
7:23 PM
How many minutes are there between 12:39 AM and 12:25 PM?
706
What is 167 minutes after 8:50 AM?
11:37 AM
What is 341 minutes after 3:17 AM?
8:58 AM
What is 217 minutes before 6:42 PM?
3:05 PM
How many minutes are there between 12:19 AM and 10:01 AM?
582
How many minutes are there between 12:45 AM and 8:22 AM?
457
What is 142 minutes before 2:09 PM?
11:47 AM
How many minutes are there between 2:32 PM and 1:08 AM?
636
How many minutes are there between 6:22 PM and 6:57 PM?
35
What is 706 minutes after 8:22 PM?
8:08 AM
What is 692 minutes after 4:46 PM?
4:18 AM
How many minutes are there between 4:04 PM and 8:53 PM?
289
How many minutes are there between 12:55 AM and 4:55 AM?
240
What is 610 minutes before 6:26 AM?
8:16 PM
What is 423 minutes before 4:25 PM?
9:22 AM
How many minutes are there between 10:25 AM and 8:35 PM?
610
What is 408 minutes before 9:09 AM?
2:21 AM
What is 454 minutes before 7:23 PM?
11:49 AM
How many minutes are there between 6:36 AM and 7:58 AM?
82
How many minutes are there between 8:34 AM and 1:25 PM?
291
How many minutes are there between 5:34 AM and 2:41 PM?
547
What is 148 minutes before 12:48 PM?
10:20 AM
What is 240 minutes after 4:04 AM?
8:04 AM
What is 491 minutes after 3:04 AM?
11:15 AM
How many minutes are there between 8:42 AM and 12:51 PM?
249
What is 293 minutes before 7:34 PM?
2:41 PM
What is 191 minutes after 7:22 AM?
10:33 AM
How many minutes are there between 8:52 AM and 2:59 PM?
367
What is 286 minutes before 7:29 PM?
2:43 PM
How many minutes are there between 8:16 AM and 7:26 PM?
670
How many minutes are there between 9:48 AM and 2:50 PM?
302
What is 708 minutes after 10:15 PM?
10:03 AM
What is 599 minutes after 8:35 PM?
6:34 AM
How many minutes are there between 12:37 AM and 1:28 AM?
51
What is 156 minutes after 12:19 AM?
2:55 AM
How many minutes are there between 9:13 PM and 1:08 AM?
235
What is 564 minutes after 2:30 PM?
11:54 PM
What is 313 minutes before 2:40 PM?
9:27 AM
How many minutes are there between 5:47 PM and 4:04 AM?
617
How many minutes are there between 10:48 AM and 3:58 PM?
310
What is 644 minutes after 1:02 PM?
11:46 PM
How many minutes are there between 5:55 AM and 3:46 PM?
591
What is 62 minutes after 4:27 AM?
5:29 AM
What is 130 minutes before 6:43 AM?
4:33 AM
What is 223 minutes after 5:08 PM?
8:51 PM
How many minutes are there between 12:14 PM and 9:58 PM?
584
How many minutes are there between 11:10 PM and 6:18 AM?
428
What is 323 minutes before 11:05 AM?
5:42 AM
What is 266 minutes before 6:27 AM?
2:01 AM
How many minutes are there between 5:58 AM and 11:15 AM?
317
What is 235 minutes after 11:17 AM?
3:12 PM
What is 171 minutes before 2:01 AM?
11:10 PM
What is 96 minutes after 11:11 AM?
12:47 PM
How many minutes are there between 5:32 PM and 3:18 AM?
586
What is 458 minutes after 3:26 AM?
11:04 AM
What is 366 minutes before 7:57 AM?
1:51 AM
How many minutes are there between 4:25 PM and 9:11 PM?
286
What is 71 minutes after 6:01 AM?
7:12 AM
What is 235 minutes after 6:30 PM?
10:25 PM
How many minutes are there between 10:02 PM and 11:33 PM?
91
How many minutes are there between 8:46 PM and 1:56 AM?
310
What is 240 minutes before 11:43 PM?
7:43 PM
How many minutes are there between 7:50 AM and 7:17 PM?
687
What is 322 minutes after 1:37 PM?
6:59 PM
What is 237 minutes after 5:01 AM?
8:58 AM
What is 457 minutes after 1:57 AM?
9:34 AM
How many minutes are there between 1:07 PM and 6:30 PM?
323
What is 166 minutes before 2:18 PM?
11:32 AM
How many minutes are there between 6:17 PM and 2:45 AM?
508
What is 295 minutes after 12:16 PM?
5:11 PM
What is 502 minutes before 7:37 PM?
11:15 AM
What is 399 minutes before 7:35 PM?
12:56 PM
What is 687 minutes after 11:01 PM?
10:28 AM
How many minutes are there between 2:09 AM and 12:20 PM?
611
What is 191 minutes before 7:52 AM?
4:41 AM
How many minutes are there between 6:17 PM and 12:12 AM?
355
What is 194 minutes before 6:58 PM?
3:44 PM
How many minutes are there between 1:36 AM and 7:13 AM?
337
How many minutes are there between 7:16 PM and 1:23 AM?
367
What is 430 minutes before 2:23 AM?
7:13 PM
What is 366 minutes before 2:32 PM?
8:26 AM
How many minutes are there between 12:10 PM and 1:19 PM?
69
What is 238 minutes before 8:46 PM?
4:48 PM
What is 446 minutes after 4:28 AM?
11:54 AM
What is 252 minutes before 11:08 AM?
6:56 AM
How many minutes are there between 11:46 AM and 1:15 PM?
89
How many minutes are there between 3:01 AM and 5:30 AM?
149
What is 158 minutes before 12:21 AM?
9:43 PM
What is 439 minutes before 12:26 AM?
5:07 PM
What is 141 minutes after 9:49 AM?
12:10 PM
How many minutes are there between 2:36 PM and 12:56 AM?
620
What is 173 minutes before 10:31 PM?
7:38 PM
How many minutes are there between 4:32 AM and 5:21 AM?
49
What is 692 minutes before 9:34 PM?
10:02 AM
How many minutes are there between 4:31 PM and 11:34 PM?
423
How many minutes are there between 10:40 PM and 1:18 AM?
158
How many minutes are there between 10:09 PM and 2:20 AM?
251
How many minutes are there between 8:56 AM and 12:56 PM?
240
What is 430 minutes before 10:07 AM?
2:57 AM
What is 404 minutes after 6:31 AM?
1:15 PM
What is 488 minutes before 3:42 PM?
7:34 AM
What is 705 minutes before 7:45 AM?
8:00 PM
What is 98 minutes after 7:06 AM?
8:44 AM
How many minutes are there between 10:31 AM and 12:07 PM?
96
What is 231 minutes before 8:05 PM?
4:14 PM
How many minutes are there between 6:36 PM and 1:30 AM?
414
How many minutes are there between 12:30 AM and 3:34 AM?
184
How many minutes are there between 9:58 PM and 6:14 AM?
496
How many minutes are there between 4:06 AM and 1:04 PM?
538
What is 56 minutes after 12:35 PM?
1:31 PM
How many minutes are there between 4:57 AM and 11:28 AM?
391
What is 207 minutes before 6:29 PM?
3:02 PM
How many minutes are there between 3:50 PM and 8:01 PM?
251
How many minutes are there between 11:40 AM and 2:16 PM?
156
How many minutes are there between 10:49 AM and 9:17 PM?
628
How many minutes are there between 4:05 PM and 12:13 AM?
488
How many minutes are there between 10:16 PM and 12:17 AM?
121
What is 277 minutes before 10:45 PM?
6:08 PM
How many minutes are there between 1:21 PM and 3:55 PM?
154
How many minutes are there between 1:32 PM and 3:23 PM?
111
How many minutes are there between 8:03 AM and 8:44 AM?
41
What is 209 minutes after 4:56 PM?
8:25 PM
How many minutes are there between 2:13 AM and 7:38 AM?
325
What is 457 minutes before 2:24 PM?
6:47 AM
What is 470 minutes before 12:37 PM?
4:47 AM
What is 582 minutes after 11:29 PM?
9:11 AM
How many minutes are there between 8:59 PM and 12:36 AM?
217
How many minutes are there between 9:51 PM and 9:07 AM?
676
What is 514 minutes before 3:05 PM?
6:31 AM
What is 56 minutes before 11:31 PM?
10:35
|
{
"pile_set_name": "DM Mathematics"
}
|
rom ynujecye.
1/420
Calculate prob of sequence fu when two letters picked without replacement from {h: 1, f: 2, t: 4, u: 2}.
1/18
Three letters picked without replacement from bbmbyyw. Give prob of sequence ybm.
1/35
What is prob of sequence urr when three letters picked without replacement from auarukkurkurruu?
12/455
Four letters picked without replacement from {s: 6, r: 2}. Give prob of sequence ssrr.
1/28
Calculate prob of sequence nnan when four letters picked without replacement from {b: 6, n: 4, a: 3, m: 2}.
1/455
Two letters picked without replacement from {s: 3, o: 4, y: 2, l: 1, m: 1, x: 1}. Give prob of sequence ls.
1/44
Two letters picked without replacement from {a: 1, n: 1, k: 1, s: 1, b: 1}. What is prob of sequence ks?
1/20
Three letters picked without replacement from zzrezzrbzrrrzaazrr. What is prob of sequence zbr?
49/4896
What is prob of sequence xa when two letters picked without replacement from {x: 3, t: 6, a: 1, z: 4}?
3/182
Four letters picked without replacement from {p: 5, q: 1, z: 1, c: 7}. Give prob of sequence pcpz.
5/858
Two letters picked without replacement from mmmmccccmmmxcmwmccx. Give prob of sequence cm.
7/38
Two letters picked without replacement from {i: 4, a: 2, x: 1, s: 1, t: 1}. Give prob of sequence ii.
1/6
Four letters picked without replacement from {g: 9, y: 2, b: 2, s: 1}. Give prob of sequence gygb.
12/1001
Four letters picked without replacement from {p: 9, v: 2, l: 2}. Give prob of sequence pllp.
6/715
Two letters picked without replacement from rwgwwwwwgwgggwgwwgwg. What is prob of sequence rg?
2/95
Two letters picked without replacement from {b: 4, x: 1, f: 3, l: 4, s: 2}. What is prob of sequence lb?
8/91
Three letters picked without replacement from {g: 1, a: 1, u: 1}. Give prob of sequence gua.
1/6
Four letters picked without replacement from {z: 6, r: 6, k: 2, e: 3, n: 1}. Give prob of sequence rkrr.
1/306
Two letters picked without replacement from ffffffffffbffffffb. What is prob of sequence fb?
16/153
Calculate prob of sequence dud when three letters picked without replacement from {u: 3, d: 2}.
1/10
Calculate prob of sequence pj when two letters picked without replacement from {j: 9, p: 11}.
99/380
Calculate prob of sequence ew when two letters picked without replacement from {f: 6, e: 4, w: 1}.
2/55
Two letters picked without replacement from hbsbehbsebbbbb. What is prob of sequence ee?
1/91
Four letters picked without replacement from {b: 3, k: 2, y: 1, a: 3, c: 1}. What is prob of sequence aabc?
1/280
Two letters picked without replacement from hhgbhghbghb. What is prob of sequence bh?
3/22
What is prob of sequence vpe when three letters picked without replacement from {e: 2, p: 1, v: 2, n: 1, o: 1}?
2/105
Four letters picked without replacement from {m: 1, c: 1, b: 2, g: 2, x: 2}. What is prob of sequence xmgx?
1/420
Four letters picked without replacement from {m: 4, u: 7, o: 4}. What is prob of sequence mouu?
4/195
Three letters picked without replacement from ezzzzzgzzzz. What is prob of sequence zeg?
1/110
Four letters picked without replacement from kqqnknnlmpnnqnpnp. What is prob of sequence nppk?
1/680
Calculate prob of sequence df when two letters picked without replacement from {f: 6, z: 1, o: 1, u: 1, d: 4, k: 2}.
4/35
Calculate prob of sequence xrqe when four letters picked without replacement from {u: 1, r: 1, q: 1, x: 1, e: 1}.
1/120
What is prob of sequence fww when three letters picked without replacement from {n: 3, g: 3, w: 4, r: 3, f: 3}?
3/280
Calculate prob of sequence hwnn when four letters picked without replacement from {w: 1, n: 3, j: 1, z: 1, h: 1}.
1/140
Four letters picked without replacement from tyyytzttz. Give prob of sequence zyyz.
1/252
What is prob of sequence dy when two letters picked without replacement from {l: 3, d: 2, z: 1, j: 1, y: 12, f: 1}?
6/95
Calculate prob of sequence pxg when three letters picked without replacement from dpgxdgdppppggp.
1/91
Three letters picked without replacement from {e: 6, h: 10, u: 2}. What is prob of sequence eeh?
25/408
Four letters picked without replacement from dsuqjsw. Give prob of sequence dusj.
1/420
What is prob of sequence tqt when three letters picked without replacement from tvntnvvnnqvqnqqqv?
1/408
What is prob of sequence gs when two letters picked without replacement from sggssssssggg?
35/132
What is prob of sequence ei when two letters picked without replacement from {e: 2, i: 3, z: 6, o: 1}?
1/22
Two letters picked without replacement from {l: 1, d: 1, y: 2, n: 1}. What is prob of sequence yl?
1/10
Four letters picked without replacement from {h: 3, r: 2, l: 3}. Give prob of sequence rhlh.
3/140
Calculate prob of sequence mv when two letters picked without replacement from {j: 1, e: 2, s: 1, d: 1, m: 2, v: 1}.
1/28
Calculate prob of sequence mm when two letters picked without replacement from {m: 4, t: 6}.
2/15
Calculate prob of sequence rp when two letters picked without replacement from {i: 1, p: 2, r: 1}.
1/6
Calculate prob of sequence trrp when four letters picked without replacement from {p: 1, b: 2, q: 1, t: 1, r: 2}.
1/420
Three letters picked without replacement from dssxddddssx. What is prob of sequence dxd?
4/99
What is prob of sequence qqz when three letters picked without replacement from {z: 2, a: 2, c: 3, q: 4}?
4/165
Four letters picked without replacement from oooqoooobqooqboboo. What is prob of sequence ooqb?
11/680
Calculate prob of sequence aaa when three letters picked without replacement from aaaaaaa.
1
Calculate prob of sequence ff when two letters picked without replacement from {m: 6, k: 5, f: 6, v: 1}.
5/51
What is prob of sequence qc when two letters picked without replacement from jcqccjccqjjcj?
1/13
Calculate prob of sequence queq when four letters picked without replacement from {e: 3, q: 4, a: 1, u: 11}.
11/2584
Calculate prob of sequence oo when two letters picked without replacement from sookaokksz.
1/15
Two letters picked without replacement from {g: 1, b: 2, z: 3, a: 5, x: 6}. Give prob of sequence aa.
5/68
Calculate prob of sequence qqpp when four letters picked without replacement from tqpqpqp.
3/70
Calculate prob of sequence ms when two letters picked without replacement from mmzmmwmwmszzmmzm.
3/80
Three letters picked without replacement from {o: 1, w: 1, i: 1, b: 2}. What is prob of sequence bbo?
1/30
Calculate prob of sequence zt when two letters picked without replacement from {z: 1, e: 1, t: 3}.
3/20
Calculate prob of sequence ztzz when four letters picked without replacement from {t: 14, z: 4}.
7/1530
What is prob of sequence jr when two letters picked without replacement from jninnnmnr?
1/72
Two letters picked without replacement from {m: 7}. What is prob of sequence mm?
1
What is prob of sequence cgg when three letters picked without replacement from {m: 5, g: 2, c: 9}?
3/560
Calculate prob of sequence yyyy when four letters picked without replacement from {e: 1, x: 1, y: 6, k: 2, q: 7, j: 2}.
5/1292
Calculate prob of sequence cccp when four letters picked without replacement from cccccccccccccpcpcp.
91/816
Two letters picked without replacement from {l: 8, u: 3, c: 7}. Give prob of sequence cl.
28/153
Three letters picked without replacement from {n: 2, m: 9, j: 3, l: 2}. What is prob of sequence nnl?
1/840
What is prob of sequence xfg when three letters picked without replacement from {j: 2, f: 1, w: 3, z: 3, x: 2, g: 1}?
1/660
Three letters picked without replacement from iddididdiniindiood. Give prob of sequence nno.
1/1224
Calculate prob of sequence ru when two letters picked without replacement from rtrrrrrttrrrrutttrr.
2/57
Calculate prob of sequence jjj when three letters picked without replacement from {j: 6}.
1
Two letters picked without replacement from {b: 7, l: 2}. What is prob of sequence bb?
7/12
Three letters picked without replacement from ttflztlzlh. Give prob of sequence hlf.
1/240
Calculate prob of sequence ijj when three letters picked without replacement from {i: 2, v: 2, p: 3, j: 2}.
1/126
What is prob of sequence ot when two letters picked without replacement from ottttttto?
7/36
What is prob of sequence nni when three letters picked without replacement from {n: 4, i: 14}?
7/204
Calculate prob of sequence ete when three let
|
{
"pile_set_name": "DM Mathematics"
}
|
to base 6
-15203004
What is -10321022 (base 5) in base 9?
-144833
What is 212101022010 (base 3) in base 2?
1110000010110111010
What is 200221201210 (base 3) in base 2?
1011011000100111101
Convert -1055356 (base 7) to base 4.
-200013211
Convert 984cc (base 13) to base 5.
32303334
-212433110 (base 5) to base 13
-259157
21003133021 (base 4) to base 2
1001000011011111001001
305c9 (base 14) to base 7
663242
Convert -787160 (base 11) to base 7.
-13441642
What is -3bcb0 (base 15) in base 9?
-322163
What is -282741 (base 13) in base 2?
-11101110011101000000
1536023 (base 7) to base 2
110011100000010010
What is 3e022 (base 16) in base 15?
503c6
Convert 245205 (base 10) to base 15.
4c9c0
-201012022101 (base 3) to base 6
-12033144
-640790 (base 12) to base 8
-6010134
2306426 (base 7) to base 4
1012103321
Convert 1011002210220020 (base 3) to base 12.
5651b80
4122204 (base 6) to base 15
3d7ba
Convert -30eccb (base 15) to base 6.
-121523002
3157a7 (base 14) to base 11
a395a0
Convert 105de (base 15) to base 14.
14d15
1101110110101001111010 (base 2) to base 3
20211111210211
Convert 614284 (base 9) to base 15.
72cc4
ba792a (base 15) to base 16
879349
What is 100002121110 (base 3) in base 4?
223231221
-104882b (base 13) to base 2
-10010111010111100010010
-39341 (base 16) to base 7
-1664051
Convert 43280 (base 12) to base 9.
144366
What is -102950 (base 10) in base 8?
-311046
Convert 644a66 (base 11) to base 15.
155951
167466 (base 10) to base 2
101000111000101010
What is 222131331 (base 4) in base 10?
173949
9ef0 (base 16) to base 3
2001210222
-6304282 (base 9) to base 2
-1100110110011111110001
2321002014 (base 5) to base 16
501cd3
-12305310 (base 7) to base 14
-20cd07
What is 730267 (base 9) in base 11?
276563
Convert -10322003114 (base 5) to base 14.
-1698641
What is -322422422 (base 6) in base 10?
-5726318
249139 (base 10) to base 11
160200
6a52900 (base 11) to base 13
2723288
41ba5 (base 13) to base 12
58657
What is -13321103 (base 6) in base 11?
-285167
-134764 (base 10) to base 5
-13303024
What is 76845 (base 14) in base 11?
1866a4
1222211120 (base 3) to base 10
39246
112103000 (base 4) to base 7
530156
Convert -73513 (base 12) to base 8.
-447037
Convert -1210112000110 (base 3) to base 4.
-3221021322
What is 442ca (base 14) in base 6?
3312510
Convert 1677180 (base 13) to base 15.
9891b6
2121311322 (base 4) to base 11
3a0483
What is -59a9b3 (base 12) in base 4?
-11201320113
9aa90 (base 14) to base 4
1123213212
What is 111200b (base 12) in base 10?
3259019
What is -4af58 (base 16) in base 12?
-129820
-212320043 (base 5) to base 8
-3340231
Convert ed837 (base 15) to base 3.
1102022221121
a5310e (base 16) to base 9
22330426
575121 (base 10) to base 12
2389a9
What is -21313021330 (base 4) in base 3?
-11212100020121
-98d3 (base 16) to base 8
-114323
-7046 (base 10) to base 6
-52342
Convert 50332151 (base 8) to base 9.
21842008
Convert -2211212111 (base 3) to base 9.
-84774
Convert 1977005 (base 12) to base 9.
11113635
What is -15343233 (base 6) in base 12?
-221b19
What is 15982a6 (base 11) in base 3?
12010011120121
What is 10022012220222 (base 3) in base 12?
708322
Convert 116948 (base 13) to base 2.
1100101001110011001
What is -3024002210 (base 5) in base 8?
-27137736
Convert -930ad (base 14) to base 13.
-c5259
Convert -4255334 (base 6) to base 5.
-23203431
-301323011032 (base 4) to base 9
-26556051
Convert -509a81 (base 13) to base 12.
-7669a9
-101011101000000001110 (base 2) to base 9
-2617833
What is 50bd48 (base 16) in base 7?
62655431
5ab94 (base 12) to base 14
329b2
1a375 (base 14) to base 16
103f3
901a2a (base 14) to base 12
1757ab2
What is -4481242 (base 11) in base 14?
-10846cb
144792 (base 10) to base 4
203112120
Convert 4324403 (base 8) to base 12.
479943
Convert -27115 (base 9) to base 3.
-221010112
What is 576531 (base 8) in base 4?
233311121
What is 183047 (base 10) in base 8?
545407
What is -425120 (base 7) in base 3?
-10202020122
What is -1100001111110110111110 (base 2) in base 9?
-6033208
What is 5320120 (base 7) in base 2?
10011101000111001011
What is -88a780 (base 13) in base 2?
-1100010010101001001001
6a775a (base 15) to base 9
10514114
56007b (base 12) to base 8
5161137
What is -96364 (base 13) in base 3?
-111202111101
Convert -312231 (base 10) to base 8.
-1141647
-20424025 (base 6) to base 10
-594449
What is -67164 (base 14) in base 11?
-160902
What is 1010111111100110101 (base 2) in base 3?
200022011102
What is -7a67a (base 13) in base 3?
-102022220201
Convert -9413 (base 14) to base 8.
-61631
What is -12002302 (base 4) in base 10?
-24754
What is -42a9795 (base 12) in base 15?
-11a2ba8
353f40 (base 16) to base 15
48de50
212010102 (base 4) to base 15
312ec
-45441253 (base 8) to base 16
-9642ab
What is 142301113 (base 5) in base 8?
2654744
What is -10002110001222 (base 3) in base 13?
-4567b5
Convert -3322616 (base 8) to base 12.
-371692
Convert 541664 (base 8) to base 7.
1353125
What is -2212100120211 (base 3) in base 10?
-1522579
9974245 (base 10) to base 12
3410171
Convert -754337 (base 8) to base 6.
-5223131
10100000110001101010 (base 2) to base 11
40a851
340552 (base 6) to base 9
43355
What is 1651515 (base 7) in base 2?
111000011010111000
-31041510 (base 6) to base 5
-212021200
1588459 (base 10) to base 15
2159c4
10101001010011100 (base 2) to base 9
141815
What is -2034402 (base 5) in base 11?
-23381
What is -437883 (base 9) in base 15?
-52820
-14514155 (base 6) to base 8
-1737427
What is 1a77b3 (base 15) in base 14?
25869b
-1201000022110 (base 3) to base 12
-378126
-670213 (base 9) to base 7
-3255222
Convert -2123544 (base 7) to base 2.
-111111000010100101
93cc9 (base 13) to base 8
1007151
132c71 (base 13) to base 7
3640166
-23b497 (base 13) to base 8
-3202364
-44320124 (base 5) to base 12
-167228
-43277 (base 13) to base 6
-2333235
What is 1200122012 (base 3) in base 9?
50565
Convert -4333202231 (base 5) to base 14.
-1335115
What is 929515 (base 15) in base 10?
6967145
What is 32445 (base 6) in base 7?
16046
Convert -176326 (base 8) to base 16.
-fcd6
What is -a7dfd (base 16) in base 7?
-5562463
462355 (base 7) to base 16
1424b
32020213 (base 7) to base 4
22111310311
Convert -3bc206 (base 14) to base 16.
-1f937e
What is 3a39b3 (base 13) in base 5?
330021442
Convert a62058 (base 13) to base 14.
73328b
61dd (base 16) to base 11
17906
Convert -9da5 (base 15) to base 11.
-23154
-310ba (base 13) to base 9
-143674
What is -1021532 (base 9) in base 2?
-10000101001110111110
10305301 (base 6) to base 7
2405422
What is 2223431320 (base 5) in base 8?
22554372
-23122123012 (base 4) to base 15
-3e16e4
10004360 (base 10) to base 3
200211021101212
1032451 (base 6) to base 2
1100011111001111
What is -460640 (base 8) in base 11?
-a7287
Convert -193aa0 (base 11) to base 15.
-5d508
-10004634 (base 7) to base 3
-1112221000020
What is 121720 (base 11) in base 16?
2f015
-154c97 (base 13) to base 8
-2001356
Convert -6601145 (base 9) to base 12.
-122a97b
Convert 2272012 (base 8) to base 12.
25a636
What is -20324c (base 13) in base 15?
-ec16e
-7444714 (base 8) to base 13
-546652
-210467 (base 8) to base 13
-25ab3
Convert 590c5 (base 13) to base 7.
1245313
What is 111022212211 (base 3) in base 10?
262354
What is 254086 (base 11) in base 2?
1100001110101010101
What is -34451 (base 16) in base 14?
-58049
What is -ad63aa (base 14) in base 6?
-330202550
Convert -4161223 (base 8) to base 11.
-696431
-9d1192 (base 16) to base 11
-58a0854
-101000100111110 (base 2) to base 10
-20798
2874432 (base 9) to base 10
1584470
What is 37366b (base 13) in base 4?
11002220130
What is -270c19 (base 15) in base 16?
-1c9f89
200010020012021 (base 3) to base 7
144564232
30559a (base 11) to base 4
1313300122
-112011110102 (base 3) to base 9
-464412
-20220202201120 (base 3) to base 2
-1110000001011111110010
Convert 22221201022 (base 3) to base 15.
37325
Convert 691209 (base 11) to base 7.
12226666
Convert 23c530 (base 13) to base 10.
855517
Convert 82b69 (base 12) to base 8.
516001
Convert 465032 (base 7) to base 12.
402b8
What is 3723816 (base 9) in base 8?
7560326
-36265003 (base 7) to base 8
-14235225
-471c5 (base 13) to base 16
-1fba1
What is -356128 (base 16) in base 4?
-31112010220
-1135185 (base 14) to base 5
-4044243031
Convert -1605119 (base 11) to base 5.
-1200312123
-b
|
{
"pile_set_name": "DM Mathematics"
}
|
= -b. Solve -3*o + 5*a = -16, -q = 4*o - 3*a - b for o.
-3
Let f be -1 - (2/2 - 11). Let b = 63 + -49. Let j = b - f. Solve o + j = 4*g, 0 = -0*g + 5*g - 5 for o.
-1
Suppose -3*n + 24 = 3. Suppose -2*t + n = 3. Solve 2*r + t = -2*l, 3*r + 3*l - l = -6 for r.
-4
Suppose 0 = -3*b + 5*m + 34, 3*b - 5*m = 2*b + 28. Solve -2*c = -3*a - 11, 0*c - 4*c = b*a + 5 for a.
-3
Let x(g) = g**2 + 3*g - 5. Let y be x(-5). Let d = -2 + y. Suppose d = 2*o - o, 4*a + 7 = 5*o. Solve -p + a*u = -2*u + 13, 0 = 2*p + 2*u - 14 for p.
3
Let a(w) = w. Let t be a(4). Solve -o + t*o - c - 7 = 0, -5*o - 2*c = 3 for o.
1
Let l = 22 + -21. Solve 0 = -w + 5*y - 10, w - 2*y = -0 - l for w.
5
Let p(z) = -z + 13. Let f be p(12). Solve j - 6 = 2*d - f, -j - 4*d - 1 = 0 for j.
3
Let d(x) = -x**3 + 7*x**2 + 2*x - 3. Let a be d(7). Solve 5*o = p + a, o + 5 = -p + 4*o for p.
4
Suppose 12*c - 5*c = 0. Solve 3*j - 16 = 4*v + 7, c = j + 4*v + 3 for j.
5
Suppose 5*v - 10 = -0*v. Let r be v + -3 - -3 - -2. Solve -h = -r*a + 3 - 8, -7 = 4*a - 3*h for a.
-1
Suppose n = -0*h - 2*h - 7, -2*h + n = 9. Let p = h + 7. Solve v - 5 = -0*v, p*v = -2*i + 9 for i.
-3
Let i(q) = q**2 + 8*q - 4. Let c be i(-8). Let z(g) = -g**3 - 3*g**2. Let p be z(c). Suppose 9*k - 4*k = 0. Solve -5*b - 2*n + 42 - p = 0, k = n - 3 for b.
4
Let s = 6 + -4. Solve 0 = 2*v - 4, -z - v = s*v - 8 for z.
2
Let h be (-26)/(-8) + 6/8. Suppose 3*d + m = -3*m + 3, -5*m = -h*d + 35. Solve 0 = -f + d*r + 19, 5*f + 6*r - 5*r = -9 for f.
-1
Let u = -12 - -24. Let y = u - 7. Solve -y = 3*j + 4*l, -4*j - 5*l + 1 = 7 for j.
1
Let n(b) = -b**2 - 11*b + 4. Let q be n(-10). Suppose -2*s = -5*s + 6. Solve 2*u - 2*p = -q, s*u = 6*u - p + 16 for u.
-3
Let i(m) = -2*m + 15. Let z be i(6). Solve z*r + 1 = -s - 11, r - 4*s = 9 for r.
-3
Let k = -11 + 14. Let s(l) = -l**3 + 4*l**2 - l - 4. Let t be s(k). Let j be (2/(-1))/2 - -1. Solve 5*b - t = -2*p - 11, 5*b - 3*p + 24 = j for b.
-3
Suppose j - 3*c = -11, 4*j = -j + c - 13. Let f be -2*j*(-12)/(-16). Solve 2*v + 6 = f*q, -3*q + 2*v = -6*q - 6 for q.
0
Let h = 4 - 4. Let v(a) = 4*a - 1. Let r be v(1). Let m = r - 0. Solve -5*t = 5*d + 1 + 14, h = m*d + 2*t + 4 for d.
2
Suppose -26 + 18 = -2*g. Suppose -2*l + 14 = 2*m, -8 = g*m - 24. Solve -2*o = -5*p - 3, o - 3 = -2*p + l*p for o.
4
Suppose 0 = 22*m - 20*m. Solve 5*u - o - 27 = -m*o, 4*u + 5*o = 10 for u.
5
Let i(x) = 4*x**3 + 3*x**2 - 2*x + 1. Let z be i(2). Let b = -2 + -17. Let m = z + b. Solve -4*y = -3*l + m, 5*y - 2*l + 10 = -7*l for y.
-4
Suppose 2*d - 57 = -d. Suppose 5*r + 1 = -4, -v - 3*r = -3. Suppose -a + v = 2*a. Solve -2*f + d = 3*o, -a*o + 6*o = -5*f + 30 for o.
5
Let y = 56 + -54. Solve -5*s - 20 = -5*k, 0*s - y*k + 9 = -s for s.
1
Suppose y - 20 = -4*y. Solve 2*p = -y*d + 2, -2*p - 7 = d - 3 for p.
-3
Suppose 2*c + 4*v = 20, 2*c + 13 = 4*v + 1. Suppose 0 = c*p - 2 - 2. Solve 4*n = 0, 0 = 2*k + p*k - 3*n - 4 for k.
1
Suppose -h = h - 12. Let t be -2*1*(-9)/h. Let p be 1/(6/20)*t. Solve 5*m = 2*r - 14, -m - r + 3 = p for m.
-4
Suppose 0 = -8*g + 3*g. Suppose 0 = -g*u - 5*u + 100. Solve 4*o = -5*r + u, -3*o + r + 4 = -11 for o.
5
Suppose 7 + 9 = 8*n. Solve 0 = 2*p + 1 - 5, n*g = 2*p - 6 for g.
-1
Let h be (3/9)/(1/6). Suppose 4 - 1 = i. Let l = h + i. Solve 29 = r - l*r + 5*n, n = -5*r for r.
-1
Let b(g) = -45*g - 2. Let f be b(-1). Suppose -5 = 2*q + 2*x - 19, 5*q - f = 3*x. Solve 3*h + 8 = -i, 0 = 2*i + 3*h - h + q for i.
-2
Suppose -4*w + 4 = -2*n, -3*w - 2*w + 3*n + 3 = 0. Suppose -2*z = -4*g - 6*z + 8, -w*z = 2*g - 3. Solve -3*b + 6 = -g*t, 3*b - 4*t - 1 = 4 for b.
3
Let t = 13 - -19. Suppose -4*f - 24 = -3*b, 2*f = 4*b + 5*f - t. Let a be (b/3)/((-3)/(-9)). Solve 0 = o - 4, -3*l + 0*l - o - a = 0 for l.
-4
Suppose -6*a + a = -20. Let z = -2 - -3. Suppose -3*o + z = a*t, -11 = -5*t + t - o. Solve b - 1 = c + 3*b, -b - 4 = t*c for c.
-1
Let i(f) = 2*f**2 + f + 2. Let p be i(-1). Solve p = 2*b - 4*k - 11, -4*b + 7 = -k for b.
1
Suppose 0 = i - 6 - 14. Suppose 4*v = 4*j + i, 32 = 5*v + 2*j - 0. Let c = 1 - -3. Solve -v = h - 2*x, h + 16 = 5*x + c for h.
-2
Suppose 0*t - 4*t = -32. Let a = t - 2. Let l(o) = 3*o**2 + o. Let w be l(-2). Solve -a*b + 2*b = 2*q - w, 0 = 2*b - 2*q - 14 for b.
4
Let s = 7 + -22. Let d be (4/10)/((-3)/s). Suppose 4*g - 4 = 8. Solve g*r - n = -6, 4*n + 0 + 4 = -d*r for r.
-2
Suppose -a = -5*z - 6, 3*z - 8*z - 2*a = 3. Let t = 2 - z. Suppose -2 + 34 = 4*w. Solve t*g - g = -5*k - w, 0 = 4*g + 2*k for g.
1
Let b(u) = 29*u**3 - u**2 - 2*u + 2. Let o be b(1). Solve 3*d - d - 4*j - 24 = 0, -o = -2*d + 5*j for d.
4
Suppose 2*w - 7*w + 15 = 0. Suppose 7*d - 16 = 3*d. Suppose 0*y - y + d = h, 0 = -w*h + y + 20. Solve 4*a + 3*j + 2 = 14, -h = -2*a - 5*j for a.
3
Let f(d) = 4*d**2 + 3*d - 2. Let o be f(-3). Let b = 42 - 30. Suppose b - 27 = -5*x. Solve -5*z = 3*r + o, 5 = -x*r + 3*z - 4 for r.
-5
Let t(o) = -o**3 - 3*o**2 - 2*o - 3. Let f be t(-3). Let x be (f + 1)*(-3)/(-3). Solve 13 = -x*p - y, p - 18 = -y + 5*y for p.
-2
Suppose -6*j - 90 = -9*j. Solve p = -4*p - m + j, -p = 4*m - 25 for p.
5
Suppose -3*k + 16 = -2*l - 13, 0 = 5*l + 5. Let p be 8/(-6)*k/(-6). Let m = p + 0. Solve m*a = -a + 5*q - 5, 2*a + 2*q + 14 = 0 for a.
-5
Suppose -12 = -5*m + 58. Solve -2*r - v = 5, -3*r - m = r - 2*v for r.
-3
Suppose 5*u = 3*u + 10. Solve -9 = -5*a - 3*i + 4*i, 0 = 5*a + u*i - 15 for a.
2
Let s(t) = -t + 1. Let z(k) = 3*k - 1. Let d be z(1). Let c be s(d). Let p = 4 - c. Solve p*b - 6 = 4*u, 0 = 4*u - b + 2*b - 6 for u.
1
Let v be -4 - (-3 + (-6 - -1)). Solve 14 = -2*z + 3*z - 3*x, v*z + 5*x + 12 = 0 for z.
2
Suppose -6 = -3*j - 0. Solve j*a - 2*k + 8 = 0, 2*a - 3*k = 2*k - 20 for a.
0
Let v = 27 + -22. Solve -2*k - 3*m = 7, 0 = -4*k - v*m - 15 + 4 for k.
1
Suppose -5*z = -2*n - n - 8, 4*z = 5*n + 9. Let i = 4 + z. Solve 2*u - 2*c + 2 = i*u, 4*u + c - 6 = 0 for u.
2
Suppose 4*r - 8 = 4. Solve 8 = t + 4*k - r*k, 2*t + 3*k = 19 for t.
5
Suppose 4 + 91 = 19*b. Let v(d) = 3*d + 2. Let l be v(3). Let y = l - 7. Solve 3*w - 18 - 1 = -y*z, -5*z - b*w = -25 for z.
4
Let o be ((-24)/(-30))/(2/(-15)). Let v be (-70)/o + 2/6. Solve -4*n = -0*n - v, b + 2*n - 6 = 0 for b.
0
Let v be (-6)/9 - (-8)/3. Let u = 17 - v. Suppose 5*b = -t - 3*t - 3, -4*b - 12 = 0. Solve 4*q + 21 = -o, -t*o - u = 5*q + 20 for o.
-5
Let h(x) = -16*x**2 - 1. Let o be h(-1). Let u = o + 20. Solve -2*y - 16 = -0*q + u*q, 1 = y - 3*q for y.
-5
Let i be (0 + 1*-5)/1. Let m = -5 - i. Solve 2*t = n + 6, -5*n - 3*t - 2*t + 45 = m for n.
4
Let h(q) = 17*q + 1. Let z be h(2). Suppose 2*k + 0*k - 3*n = -49, -3*k = 2*n + 41. Let o = z + k. Solve s + o = -2*s - 3*v, 5*s + 6 = 3*v for s.
-3
Let f be 16/7 + (3 - 138/42). Solve 14 = -f*u - 2*g - g, -2*g = -2*u + 6 for u.
-1
Suppose 5*f - 5*l - 30 = 0, -5*f + 6*f - 15 = 4*l. Solve f*a + 3*m = -3, -a = -5*a - 5*m - 2 for a.
-3
Let t = 142 - 139. Solve -2 = 3*g - g - t*v, 5*g - 17 = 2*v for g.
5
Suppose -18 = -3*g + 12. Solve -3*a = -m + 14, 2*m + 3*m - g = 3*a for m.
-1
Let o(m) = -m**2 + 10*m - 12. Let s be o(8). Solve k + s = h, 3*k + 4*h + 5 = -0*k for k.
-3
Let c(d) = -d**2 - 10*d - 12. Let b be c(-8). Solve b*n = 2*t, 0 = -3*n + t - 3*t + 14 for n.
2
Let s(k) = -k**2 + 11*k + 16. Let x be s(12). Let l = 2 + 3. Suppose -o - 11 = -3*f - 0*o, 5*f - l*o - 35 = 0. Solve 2*q + 0*g + g - f = 0, -g = x for q.
3
Let m = -5 + 11. Let l = 9 - m. Solve -3*i + 4 = -2, 4*c + 22 = l*i for c.
-4
Let w(k) be the first derivative of -1/4*k**4 + 9/2*k**2 - 3*k + 2*k**3 + 3. Let b be w(7). Solve -3*x - c - b = 0, 13 + 4 = -3*x + 5*c for x.
-4
Suppose j + x - 16 = -4*j, -2*j - 5*x = -11. Suppose -2 = j*t - 8. Solve 0 = 4*r + 2*v - 18, -2*r + 2*v + 22 = t*r for r.
5
Let x(i) = i + 2. Let y be x(-2). Let h be y/(-1)*2/(-4). Solve -4*j - 2 = -3*c, h*j + j = 1 for c.
2
Let x be 6/4 - 3/(-2). Solve 2*p - 2*m = x*m + 3, -4*p = 4*m - 20 for p.
4
Let j(k) be the third derivative of k**5/30 - k**4/8 - k**3/2 + k**2. Let f be j(3). Suppose -f*o = -o. Solve 0 = 3*l + c - 5, 3*l - l - c - 5 = o for l.
2
Suppose 0 = 3*g + 12 - 0. Let w be (-1)/4 - 49/g. Solve 4*h = 2*t - w, -3 - 5 = -2*t + 3*h for t.
-2
Let x(u) = u**2 + 2*u - 1. Let i be x(-3). Suppose -3*g = -4*w + 10, -w - i*g - 8 = -4*w. Solve -3*m + 2 = -4*d - 10, 0 = -w*d + 2*m - 8 for d.
0
|
{
"pile_set_name": "DM Mathematics"
}
|
156. What is the nearest to -1 in f, -0.5, -2/11?
-0.5
Let q = -1.1 - -0.1. Suppose -228*c + 1500 - 107 = 25. What is the closest to q in 3, -3, c?
-3
Suppose -263*i - 4 = -259*i. Which is the nearest to 0? (a) -0.11 (b) i (c) 0 (d) -1/64
c
Let i = 1.71 - 10.47. Let x = i + 4.76. Which is the closest to 0.2? (a) x (b) 2/7 (c) -1
b
Let z = 1.3 - 0.3. Let n = 10243/2 + -153643/30. Which is the closest to -4? (a) z (b) n (c) -0.3
c
Let r = 4202 + -4235. Which is the closest to -1? (a) 2/11 (b) r (c) -0.8
c
Let t be -3*((-6)/81)/2*3. Let k(r) = -r**2 - 16*r + 21. Let a be k(-17). What is the closest to a in -0.5, -3, t?
t
Let p = -0.5 - -1. Let j be -30 + (-5397)/(-105) - 21. What is the nearest to -17 in -1, j, p?
-1
Let m = 17763 + -17762.6. What is the closest to -0.1 in -11/4, m, 2/3, -0.2?
-0.2
Let k = 1.867 + 2.133. What is the nearest to 0 in 6/13, 2, k?
6/13
Let k = 0.1 - 0. Let w(z) = -3*z**3 + 20*z**2 - 24*z - 6. Let v be (-5*12/(-24))/(1/2). Let x be w(v). What is the nearest to k in -1/2, 7/4, x?
-1/2
Let m(f) = -10*f**2 + 72*f - 292. Let g be m(4). What is the closest to -2/3 in g, 3/5, -1/2, 1/2?
-1/2
Let w = -6 + 5.76. Let k = 3.93757 + 0.06243. Which is the nearest to w? (a) -3/8 (b) k (c) -2/17
c
Suppose -22*t = 20*t - 11214. Let c = -2941/11 + t. What is the closest to -1 in 3/2, c, 0.1?
c
Let h(k) = k**3 + k**2 + 6*k + 8. Let j be h(-3). Let o = j - -33. Let t = 0.61 - 0.51. What is the nearest to t in 1/2, -2, o?
1/2
Let n be (123/105 - 1) + (-326)/(-815). What is the nearest to 1/2 in 0.73, n, 0.11?
n
Let w = 118 + -248. Let l = 129 + w. Which is the closest to l? (a) 2 (b) -7/3 (c) 0.2
c
Suppose 5*v + 2 = 4*m, 5*m + 14 = -v - v. Let b be (-1)/2 - 2/(-8). Let z = -988953 + 988956. What is the closest to z in b, m, -3/2?
b
Let m = 38806 - 38805. What is the nearest to -0.3 in -0.1, 2, 3.8, m?
-0.1
Suppose -4*i - 1 = -w, -2 = -0*w - 2*w. Let j = -1347.96 + 1348.06. What is the closest to i in -5, 2/19, -0.4, j?
j
Let f = 1.03 + -0.03. Let a = 444 + -625. Let r = -186 - a. What is the closest to f in 0.8, 0.2, r?
0.8
Let i be 50/(-5)*24/(-20). Suppose 10*g - 6*g = -i. What is the nearest to g in -0.4, -0.3, 4?
-0.4
Let n = -0.5244 + 416.8244. Let z = -416 + n. What is the closest to -1/4 in 3, z, 0.2?
0.2
Let t = -19871 - -60308/3. Let y = -232 + t. What is the closest to y in 1, -1, 1/13?
1/13
Let f be (9 - 3)/12*44. Suppose 25*i + f + 53 = 0. Which is the closest to -2/3? (a) i (b) 10 (c) 0.1
c
Let o = 5.8 - -1.2. Let h = -553 - -553.229. Let g = h + 3.771. What is the closest to o in g, -5, 0.2?
g
Suppose -24 = -0*q + 4*q. Suppose -243*j + 400 = 32 - 118. Which is the closest to q? (a) -2 (b) 1 (c) j
a
Let s = -0.3 + 0.2. Let t = -46228 + 46228.1. Let w = 0.7 + -10.7. Which is the closest to s? (a) t (b) w (c) 2/19
a
Let r = -11.15 + 11.25. Which is the closest to r? (a) 5 (b) 1 (c) -2 (d) 2/9
d
Let i = -5.81 - -1.81. Let a be (-1*4 - (-279)/31) + -6. What is the nearest to a in 2/7, -3, i?
2/7
Let b(c) be the third derivative of -c**4/24 - 2*c**3/3 - 19*c**2 - c. Let d be b(-2). What is the closest to d in 1, -4, -0.5?
-0.5
Let p be 5/26*(-12)/(-15). Let v = -0.191 + 0.491. Suppose 4*x - 25 = -x. Which is the nearest to 2/7? (a) p (b) x (c) v
c
Let x = -95.8 - -96.8. Which is the closest to x? (a) -2/9 (b) 2/53 (c) -0.7 (d) 2
b
Let u = -246.7 + 232. Let w = u - -15.2. Which is the closest to 1/3? (a) 0.2 (b) w (c) 0.3
c
Let p = -0.0174 - -0.4104. Let m = 0.093 - p. Which is the nearest to -0.4? (a) m (b) -2/9 (c) 0.03
a
Let w = -4 - -9. Let u = -41 + 40.6. Let i = 0.2114 - -0.1886. What is the nearest to 0.1 in w, u, i?
i
Let y = -1.25531 - 0.04469. What is the closest to 2/3 in -4, y, 0.08?
0.08
Let u = 2 + -2.1. Let o = -41786 + 41786. What is the closest to u in o, -3, 0.1?
o
Suppose 12*s - 13 = 167. Suppose -45*l + s = -42*l. Which is the nearest to 6? (a) 0.5 (b) -0.11 (c) l
c
Let b = -45.87 - 5.93. Let f = b - -52. Let l = 2 + -3. What is the closest to l in f, 0.3, -0.2?
-0.2
Let h(n) = -n**2 + 5*n - 5. Let f be h(4). Let u = -5069 + 5069.3. What is the nearest to -0.1 in f, -5, u?
u
Let w = -2 + -2. Let d = 5846 + -5846.3. What is the nearest to -4 in w, d, 1/2?
w
Let s = 67/32 + -75/32. What is the closest to 0 in s, 32, 6?
s
Let n = -170.778 - -171. Let v = -0.122 + n. Which is the closest to v? (a) 0.023 (b) 5 (c) -5
a
Let i = 791 + -793. Which is the nearest to 10? (a) -0.01 (b) 2/5 (c) i (d) -2/11
b
Let q be ((-23)/(-30) + (-21)/35)/(7/(-14)). What is the closest to -1/14 in q, 11, 5?
q
Let k = -16.261 + -0.739. Which is the closest to 2/7? (a) 2/13 (b) -9 (c) k
a
Let d = -1573.6 + 1573.5. What is the nearest to -1 in d, 3, 6, -9?
d
Let g = 0.1926 + 0.2074. Let o = -49307/77649 - 12/1991. Let j = o + 30/13. Which is the nearest to 1/3? (a) j (b) 0.01 (c) g
c
Let x = 38.8 - 35. Let t = x + -0.8. Let z = -3.2395 + 3.0395. Which is the closest to -2? (a) t (b) 0 (c) z
c
Suppose 3*p = u - 10, -2*p + 66*u - 16 = 63*u. What is the closest to -1 in -5, p, 8, 0.4?
p
Let y = 1025.7 - 1027.7. What is the nearest to 2 in y, 0.4, -0.3, 2/321?
0.4
Let i be 2/7*14/6. What is the closest to -0.08 in -8/3, i, 3/2, 2/7?
2/7
Let n = 0.49 + -0.89. Let v(r) = -r**3 + 9*r**2 - 5*r + 4. Let w be v(8). Let f = -26 + w. Which is the closest to -2/9? (a) n (b) -4/5 (c) f
a
Let p = 43/18 + -14/9. Let m = -543802 + 543807. Which is the nearest to 2/9? (a) m (b) p (c) -2/3 (d) -2/7
d
Let b be (-27)/(-15) + (-138)/60. What is the closest to b in -0.5, 3, -1.7, -0.4?
-0.5
Let t = 15777 + -15776.5. Which is the closest to -3? (a) 3 (b) t (c) -3 (d) 1/61
c
Let g = 6/83 - 279/415. Let f = -9.5 - -4.5. Let t be (2 + (-15)/6)/(-1). Which is the closest to g? (a) f (b) t (c) 4/5
b
Let z = 4.662 - 5.162. What is the nearest to -82 in z, -3, 0.4?
-3
Let q = -8 + 4. Let n(s) = -8*s**3 + s**2 - 5*s + 4. Let m be n(-4). Let y = m - 548. Which is the closest to 1? (a) q (b) y (c) 0.2
c
Let m be (-6)/(-4) + -3 + (-3 - (2 - 5)). Which is the nearest to -1? (a) m (b) 0.1 (c) -37
a
Let t = 315/176 + -403/176. Let n be 2 - (24/22 + 0). Which is the closest to t? (a) -1/3 (b) -3 (c) n
a
Let f = 3599 - 3576. Which is the closest to 7? (a) 3 (b) f (c) -5
a
Suppose 4*j + 0*l - l - 87 = 0, 4*j - 3*l = 93. Suppose -j*v = -26*v - 55. What is the closest to 2/11 in -5, 1/3, v, -0.3?
1/3
Let u be (-126)/64 + (-14)/448. What is the nearest to -0.2 in 0.8, u, 3/74?
3/74
Let q = 87/4 + -22. Suppose 5*k + 3*t + 101 = 99, -2 = -3*k - 5*t. What is the closest to k in -4, -3, q?
q
Let f = -4131 + 4130.8. Which is the nearest to -0.1? (a) f (b) -0.02 (c) -13 (d) -0.5
b
Let p = -3354.5 + 3354. What is the nearest to 0.1 in p, -0.59, -0.05?
-0.05
Let l = -938 + 549. Let w = l + 384. What is the closest to 1/4 in -1/3, w, 5?
-1/3
Let u = -3070/13 + 236. Let r = -5568 + 5567.5. Which is the nearest to 3? (a) r (b) u (c) 0 (d) 1
d
Let h = 0.0798 + 0.0202. Which is the closest to h? (a) -0.1 (b) -128 (c) -2/11
a
Let d = -92.3 - -72. Let b = d - -20.5. What is the closest to b in -5, -1/4, 2/3?
-1/4
Suppose -15*u - 62*u + 7*u - 140 = 0. What is the nearest to 2/3 in -1/3, -5, 46, u?
-1/3
Let q be (-1)/2 + 239/6. Let k(i) = -92*i + 53. Let s be k(1). Let o = s + q. Which is the closest to -0.04? (a) -0.1 (b) 3/5 (c) o
a
Let v(o) = o**2 - 57*o - 1257. Let f be v(-17). What is the nearest to f in 4, -14, 3?
3
Let z = 81 + -475. Let m = -396 - z. Which is the nearest to 1? (a) m (b) 0.1 (c) -17
b
Let p(k) = -k**2 - 3*k + 55. Let m be p(6). Let x = 7.9 - 10.9. Let g = 0.7 + -1. Which is the nearest to x? (a) -1 (b) g (c) m
a
Let c be 28/15*-1 + 2. Let d be -3 + (-2 - (-8 + 18)). What is the nearest to -0.04 in -1, -5, c, d?
c
Let q = -0.01 + -4.99. Let u = -3.01 - -3. Let i = 5088.5 + -5085.5. Which is the nearest to -0.1? (a) q (b) u (c) i
b
Let p = -19737 - -19740. What is the closest to -9 in 1/2, -4, p, 2?
-4
Let k = -7666/22997 - -1/68991. Suppose -4 - 11 = 3*u. What is the closest to -0.4 in u, k, -0.007?
k
Let i be ((10/2)/(-2670))/((-7)/1082). Let h = i + -1/267. Which is the closest to -0.1? (a) 12/11 (b) h (c) -0.4
c
Let x = 76.97 + -72.97. Let n = -0.4 - -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
s the third derivative of -5*r**6 - 2*r**4 - 55*r**2 wrt r?
-600*r**3 - 48*r
What is the second derivative of 3906*j**2 + 68*j wrt j?
7812
Find the first derivative of -255*x - 481 wrt x.
-255
What is the derivative of -2*o**4*r - 3*o**3*r**2 - o*r + 202*r**2 wrt o?
-8*o**3*r - 9*o**2*r**2 - r
What is the second derivative of -2*j**3*t*w - 1792*j**2*t**3*w - j**2*w - 69*j*t**3 + 36*j*w wrt j?
-12*j*t*w - 3584*t**3*w - 2*w
What is the second derivative of 3*j**2*o**2 + 85*j**2*o + 2*j**2*u**2 - j*o*u - 6*o**2*u**2 - 6*o**2 wrt j?
6*o**2 + 170*o + 4*u**2
Find the second derivative of 270*d**4*y + 2*d**4 - 12*d*y + 2*d + 1 wrt d.
3240*d**2*y + 24*d**2
Differentiate -20*c**2*m + 16317*c**2 + c*m - 22*m wrt m.
-20*c**2 + c - 22
Find the third derivative of 70*b**6 - 21*b**5*g + 1228*b**2*g - 3*b**2 - 1 wrt b.
8400*b**3 - 1260*b**2*g
Find the first derivative of -c*d*h**2 - 4*c*d + 37*c*h**2 - 31*d*h**2 + h**2 - 2 wrt d.
-c*h**2 - 4*c - 31*h**2
Find the third derivative of -p**4 + 212*p**3 - 462*p**2 wrt p.
-24*p + 1272
Differentiate g**3*t*x - 65*g**3*t + 2*g**3 - g*t*x**2 - 41*x**2 wrt t.
g**3*x - 65*g**3 - g*x**2
Differentiate 5058*x*z**2 - 6653*x with respect to z.
10116*x*z
Find the third derivative of j**3*o*r**2*w + 6*j**3*o*w + j**3*r**2 - 2*j**2*o*r**2*w - 5*j**2*o + j**2*r - 2*j*o*r*w + j*r**2*w wrt j.
6*o*r**2*w + 36*o*w + 6*r**2
What is the third derivative of 13*i*l**4*z**3 - 2*i*l**2*z**2 - 2*l**4 + 11*l**3*z**3 + l**2*z - 24*z**3 wrt l?
312*i*l*z**3 - 48*l + 66*z**3
Find the first derivative of 123*a**3*x**2 + 601*x**2 wrt a.
369*a**2*x**2
What is the third derivative of -1973*t**3 + 3*t**2 - 106 wrt t?
-11838
Find the first derivative of -4*c**3*o*y**2 + c**3*o - 3*c**3*y**2 + 27*c**2*y**2 - 6*o*y**2 wrt o.
-4*c**3*y**2 + c**3 - 6*y**2
Differentiate -4*z**4 + 113*z**3 + 2024.
-16*z**3 + 339*z**2
Find the third derivative of -687*f**6*y - f**5*y**3 - 606*f**2 + 2*f*y**3 wrt f.
-82440*f**3*y - 60*f**2*y**3
Differentiate 43*m**4*o**2 + 20*m**3*o**2 + 50*o**2 wrt m.
172*m**3*o**2 + 60*m**2*o**2
Differentiate -253*g*v + 749*g with respect to v.
-253*g
What is the second derivative of 2*d**3*f + 32*d**3 + 99*d*f wrt d?
12*d*f + 192*d
What is the second derivative of -859*x**2 + 319*x?
-1718
What is the first derivative of 2*d*u*y + 3*d*z - 3*u*z + 662*y*z + 6*z wrt y?
2*d*u + 662*z
Find the second derivative of 5*a**5 - 62*a**4*f**2 - 10*a - 11*f**2 wrt a.
100*a**3 - 744*a**2*f**2
Find the third derivative of 24*b**3*h**3 - b**3*h**2 + 3*b**3 + b**2*h**2*p - 2*b*p + 6*h**3*p wrt h.
144*b**3 + 36*p
What is the third derivative of 25*d**2*p**4*s - d**2*p*s**3 - 3*d*p**4*s**3 - p**2*s - 998*s**3 wrt p?
600*d**2*p*s - 72*d*p*s**3
Find the second derivative of 11200*u**3 + 23*u - 34.
67200*u
Find the third derivative of 2*n**2*v**4 + 2*n**2*v**3 - 158*n**2*v - 4*n*v**4 - v**2 wrt v.
48*n**2*v + 12*n**2 - 96*n*v
What is the derivative of p**4*y**2 + 412*p**2*y**3 + 289*y**3 + 2*y**2 wrt p?
4*p**3*y**2 + 824*p*y**3
What is the second derivative of 8*n**3 - n**2 - 2*n - 4?
48*n - 2
What is the second derivative of -50*a*y**2 - 2*a*y - 2*a + y**3 + 3*y**2 - 24*y wrt y?
-100*a + 6*y + 6
Find the third derivative of 144*r**3*s**3 - r**3 - 104*r**2*s**3 + r**2*s**2 wrt r.
864*s**3 - 6
What is the third derivative of -7*g**6 + 4*g**5 + 3*g**3*x**2 + g**2*x**2 - 19*g**2 + g*x**2 wrt g?
-840*g**3 + 240*g**2 + 18*x**2
What is the second derivative of -14*w**5 - 2*w**4 - 6*w + 6 wrt w?
-280*w**3 - 24*w**2
Find the first derivative of 638*x**4 - 2151 wrt x.
2552*x**3
Differentiate -65*c**4*k + 2*c**2*k + 6*c**2 + 31*k - 81 wrt c.
-260*c**3*k + 4*c*k + 12*c
What is the first derivative of 3*a**3 + 73*a - 36 wrt a?
9*a**2 + 73
What is the first derivative of 71*m**3 - 174 wrt m?
213*m**2
Find the second derivative of 4578*k**4 - 2*k**2 - 15370*k wrt k.
54936*k**2 - 4
Find the third derivative of -13936*a**3*c**2 + 309*a**2 - a*c**2 + 7 wrt a.
-83616*c**2
What is the second derivative of -227*h**3 - 97*h?
-1362*h
What is the first derivative of 49*y**3 - y + 353 wrt y?
147*y**2 - 1
Find the second derivative of -113*l**5*x + 2*l**4*x**2 - l*x**2 - 134*x wrt l.
-2260*l**3*x + 24*l**2*x**2
What is the second derivative of 2*c*j**2*o + 4*c*j + 13*c + 67*j**2*o - j*o wrt j?
4*c*o + 134*o
What is the third derivative of 290*k**6 - 2*k**4 + 3539*k**2 wrt k?
34800*k**3 - 48*k
Find the third derivative of -99*o**3 + 10*o**2 - o.
-594
Find the second derivative of -23*b**3*j*l**2*y - 2*b**3*j*l + 2*b**3*y**2 - b**2*j**2*l**2 - 2*b**2*j**2*l*y + 3*b**2*l**2*y**2 - j**2*y**2 wrt y.
4*b**3 + 6*b**2*l**2 - 2*j**2
What is the third derivative of -c*j**3*t**3 - 2*c*j*t**2*v - 3*c*j*t**2 - c*t**3 - j**3*t**2*v - 376*j**2*t**3*v + 2*j**2*t**2*v - 12*t*v wrt t?
-6*c*j**3 - 6*c - 2256*j**2*v
Find the second derivative of 40*k*u**4 - 594*k*u wrt u.
480*k*u**2
Find the first derivative of 420*l**4 - 2*l**3 - 6*l**2 + 6963.
1680*l**3 - 6*l**2 - 12*l
What is the first derivative of 25*b**2*j**3 + 10*b**2 - 46*j*n + 7*n wrt j?
75*b**2*j**2 - 46*n
What is the second derivative of -3*r**3 + 406*r**2 + 386*r - 2?
-18*r + 812
What is the second derivative of -19*z**5 + 69*z**4 - 3898*z wrt z?
-380*z**3 + 828*z**2
Differentiate 17*i**2*r - 363*i**2 + i*r**2 wrt r.
17*i**2 + 2*i*r
Find the second derivative of 142*c**2 + 154*c + 1 wrt c.
284
What is the derivative of -7*g*q**2 - 3*g*q + 33*g + 3582*q**2 wrt g?
-7*q**2 - 3*q + 33
Find the third derivative of -34*m*s**4 + 3*m*s**3 + 436*m*s**2 - s**2 wrt s.
-816*m*s + 18*m
Differentiate n**2*p + n**2 + 2*n*p - 13*n*x - 2026*p*x - 154*x wrt p.
n**2 + 2*n - 2026*x
Find the second derivative of 925*h**5 - 4*h**4 + 2*h**3 + 132*h + 110.
18500*h**3 - 48*h**2 + 12*h
Find the second derivative of 2328*w**2*z**2 + w*z**2 + 19*w*z - 3*w - 8*z wrt w.
4656*z**2
Find the second derivative of 3345*r**2 - r + 1192 wrt r.
6690
What is the third derivative of -290*s**3*y - 7*s**2 - 18*y wrt s?
-1740*y
What is the second derivative of -6*k*m**4 - 2*k*m - 264*m**2 + 726*m wrt m?
-72*k*m**2 - 528
What is the derivative of 97*p**3 - 2*p - 48?
291*p**2 - 2
Find the third derivative of -233*r**4 + 299*r**2.
-5592*r
Find the second derivative of 42*f**2*g**2*l*s + 2*f**2*g**2*l - 5*f**2*g*l*s - 3*f**2*g*s - 3*g**2*l*s - s wrt g.
84*f**2*l*s + 4*f**2*l - 6*l*s
Find the third derivative of -86*y**6 + 14*y**5*z**2 + 2844*y**2*z**2 wrt y.
-10320*y**3 + 840*y**2*z**2
What is the second derivative of 127*i**4 + 59*i + 2 wrt i?
1524*i**2
What is the second derivative of 28*b**5 + 6*b**2 + 6239*b?
560*b**3 + 12
Find the third derivative of -216*g**2*m**3 + 3*g**2*m**2 + 6*m**2 + 8 wrt m.
-1296*g**2
What is the second derivative of 14*p**4 + 206*p**3 + p + 293?
168*p**2 + 1236*p
Find the second derivative of -7256*d**2*k**2 + 7198*d*k**2 - d*k - d wrt d.
-14512*k**2
What is the second derivative of 65*y**5 - 2*y**4 - 16*y**2 - 78*y - 17 wrt y?
1300*y**3 - 24*y**2 - 32
What is the third derivative of -o**5 + 917*o**4 - 3*o**3 - 14*o**2 + 27*o - 1?
-60*o**2 + 22008*o - 18
What is the second derivative of 8*d**5 - 15*d**2 - 1250*d?
160*d**3 - 30
Find the third derivative of -879*b**6 + 2*b**5 - 19*b**2 - 7*b wrt b.
-105480*b**3 + 120*b**2
Find the third derivative of -z**5 + 1988*z**4 + 10*z**2 + 521*z.
-60*z**2 + 47712*z
What is the second derivative of -2*b**5*m + 13*b**3 + 4*b**2*m + 1777*b*m - b wrt b?
-40*b**3*m + 78*b + 8*m
Find the second derivative of 3164*r**2 - 3843*r wrt r.
6328
What is the third derivative of -3*w**4*x**3 + 29*w**3*x**3 + 1547*w**2*x**3 wrt w?
-72*w*x**3 + 174*x**3
What is the third derivative of -11*d*j**3*r**3 - 3*d*j + 2*d - 14*j**3*r**3 - 19*j**2*r + 2*r**3 wrt j?
-66*d*r**3 - 84*r**3
Find the second derivative of 4*s**5 - 51*s**2 + s + 12347.
80*s**3 - 102
Find the second derivative of 77*q**2*t**2*z**2 - q**2*t*z**2 - 2*q*t**2*z**2 - q*t**2 - t**2*z**2 wrt q.
154*t**2*z**2 - 2*t*z**2
What is the third derivative of 23*s**5*z + s**3*z - 28*s**3 + 1859*s**2 - s*z wrt s?
1380*s**2*z + 6*z - 168
Differentiate -94*f + 220.
-94
What is the derivative of 11397*d + 10727?
11397
Find the first derivative of 6770*s - 6752 wrt s.
6770
What is the derivative of 3209*d**2 - 2*d - 5592 wrt d?
6418*d - 2
What is the first derivative of 2*i**2*m**2 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
t v(l) be the third derivative of 361*l**7/420 + 19*l**6/6 + 73*l**5/20 + 5*l**4/6 + l**3/12 - 375*l**2 - 1. Factor v(g).
(g + 1)**2*(19*g + 1)**2/2
What is i in 18 + i**2 + 122 - 48 + 27*i = 0?
-23, -4
Let j be -5 + -16*10/(-20). Let c be (-50)/(-225)*j/3. Determine x so that -2/3*x**3 + c*x**2 - 4/9 + 2/3*x + 2/9*x**4 = 0.
-1, 1, 2
Let i(w) be the second derivative of -w**7/630 + 11*w**6/180 - w**5/3 - 17*w**4/12 - 36*w. Let v(j) be the third derivative of i(j). What is d in v(d) = 0?
1, 10
Suppose 0 = -2*r + 8, -3*n = 2*r + 176 - 193. Let f(k) be the first derivative of 5/16*k**4 - 1 + 5/4*k**n + 0*k**2 - 5*k. What is z in f(z) = 0?
-2, 1
Let s = -120727 - -120731. Factor 1/2*c**s + c - 1/2*c**2 + 0 - c**3.
c*(c - 2)*(c - 1)*(c + 1)/2
Let d = 21 + -21. Suppose c - 1 = 2*n - d*c, n - 17 = -3*c. Find j such that 7*j**2 + j + 3*j - n*j**2 - j**2 = 0.
-1, 0
Find i such that 32*i - 120*i**2 + 15050336 - 144*i**3 - 38*i**4 - 15050336 = 0.
-2, 0, 4/19
Let n be (-77)/(-5775) + (-1314)/(-2700). Suppose -2/3*f + n*f**2 + 0 + 1/6*f**3 = 0. What is f?
-4, 0, 1
Find q, given that 746/17*q**3 + 0 - 8/17*q - 698/17*q**4 + 192/17*q**5 - 232/17*q**2 = 0.
-1/32, 0, 2/3, 1, 2
Solve -1979*y + 1101*y**3 + 259*y**4 - 709*y + 1186*y**2 + 938*y**2 - 247*y**4 - 1072 + 523*y**3 = 0.
-134, -2, -1/3, 1
Determine v, given that -33*v**4 - 388*v**2 + 38*v**4 - 1200*v + 1584 - v**4 = 0.
-6, 1, 11
Let b(t) be the second derivative of -5/12*t**4 + 0*t**3 + 0 + 0*t**2 + 61*t. Factor b(g).
-5*g**2
Let p(g) be the third derivative of -g**5/20 + 265*g**4/8 - 263*g**3 + 2*g**2 + 721. Factor p(k).
-3*(k - 263)*(k - 2)
Suppose -5*g + 199 = -2*a, -g - 2*g = 4*a + 463. Let x be 315/a*(-13)/((-195)/(-20)). Find h, given that -x*h**2 + 5/4*h**4 + 5/2 + 5/4*h**3 - 5/4*h = 0.
-2, -1, 1
Let c(m) be the third derivative of 221*m**6/960 + 11*m**5/12 + 217*m**4/192 - m**3/24 + 9*m**2 - 12*m. Suppose c(r) = 0. What is r?
-1, 2/221
Suppose -c + c**3 - 936536 + 936558 - 28*c**2 + 6*c**2 = 0. What is c?
-1, 1, 22
Let o = 4193/9 - 20749/45. Find d such that -d**2 - o - 62/5*d = 0.
-12, -2/5
Suppose 18*b = 25*b + 70. Let k be 1/b - ((-45)/(-10) - 5). Factor -8/5*s + k*s**2 + 8/5.
2*(s - 2)**2/5
Let c(t) = -10*t**4 - 340*t**3 + 25*t**2 + 1085*t + 740. Let s(a) = a**4 - 4*a**3 - 2*a**2 + a - 4. Let v(u) = -c(u) - 5*s(u). Let v(l) = 0. What is l?
-72, -1, 2
Let x(p) be the first derivative of -p**6/54 + 2*p**5/15 + 5*p**4/12 + 8*p**3/27 - 5251. Suppose x(n) = 0. Calculate n.
-1, 0, 8
Suppose -30 = -6*d - 0*d. Suppose -3*o - 2*l + 58 = o, -d*l = -2*o - 1. Factor -8 - 12*j**2 - 2*j + o*j - 21*j - 9*j + 4*j**3 + 4*j**4.
4*(j - 2)*(j + 1)**3
Let r(p) be the first derivative of p**3/5 - 51*p**2/5 - 456*p/5 - 611. Find d, given that r(d) = 0.
-4, 38
Let n(v) = -2*v**2 + 22*v - 57. Let c be n(5). Let l(x) be the second derivative of 0 + 12*x - 1/60*x**4 - 1/6*x**c - 3/5*x**2. Factor l(w).
-(w + 2)*(w + 3)/5
Let x = 14 + 0. Suppose -2*g = 3*a - 16, 4*a + 2*g = 2*a + x. What is z in z + z**4 - 30*z**2 + 14*z**2 + 2 + 13*z**a - z**3 = 0?
-1, 1, 2
Let c be (4/72*15)/((-200)/(-32)*4). Let p(z) be the third derivative of 0*z - c*z**5 + 1/6*z**4 - 1/3*z**3 + 0 + 17*z**2. Let p(l) = 0. What is l?
1
Let i(n) be the second derivative of n**7/7560 + n**6/360 - 5*n**4 + 26*n - 1. Let x(g) be the third derivative of i(g). Find t such that x(t) = 0.
-6, 0
Let k(c) be the third derivative of c**6/240 - 21*c**5/20 + 80*c**4 + 2048*c**3/3 - 1962*c**2. Factor k(l).
(l - 64)**2*(l + 2)/2
Let f(g) be the first derivative of 5*g**4/12 + 25*g**3/6 + 15*g**2 - 65*g + 68. Let h(i) be the first derivative of f(i). Suppose h(y) = 0. Calculate y.
-3, -2
Let v be (1562/55)/(2611/1865). Factor -v*q + 2/7*q**3 - 68/7*q**2 - 72/7.
2*(q - 36)*(q + 1)**2/7
Suppose -k = 2*d - 7, -2*d + 6*k + 19 = 3*k. Factor 73*t**2 + 12*t**3 - 2250 + 10*t**5 - 18*t**4 - 12*t**d + 307*t**2 + 150*t.
-2*(t - 3)**2*(t + 5)**3
Let d(h) be the second derivative of 14/45*h**6 - 13*h + 0*h**2 + 8 + 14/3*h**4 - 61/30*h**5 - 4*h**3 - 1/63*h**7. Factor d(m).
-2*m*(m - 6)**2*(m - 1)**2/3
Let i be 1/((-12)/(-16)*(-4)/(-6)). Suppose -n + i*o + 10 + 6 = 0, 68 = 2*n + 5*o. Factor l**3 + 24*l - 7*l + 4*l**4 - 5*l**3 - 28*l**2 + 35*l - n.
4*(l - 2)*(l - 1)**2*(l + 3)
Factor -2730*n - 1/4*n**5 + 900 + 123/4*n**4 + 11161/4*n**2 - 3963/4*n**3.
-(n - 60)**2*(n - 1)**3/4
Let w(x) be the second derivative of x**4/4 - 4013*x**3 + 48312507*x**2/2 - 13953*x. Factor w(s).
3*(s - 4013)**2
Suppose 18*t + 24 = 8*s + 14*t, 0 = -4*s + 4*t + 16. Let l(c) be the first derivative of -1/8*c**4 + 1/4*c**2 + s*c - 2/3*c**3 + 21. What is r in l(r) = 0?
-4, -1, 1
Factor -3634/5*h - 728*h**2 - 908/5 - 8/5*h**3.
-2*(h + 454)*(2*h + 1)**2/5
Let f(h) = -45*h**3 - 7635*h**2 - 50*h + 25. Let p(i) = 11*i**3 + 1909*i**2 + 12*i - 6. Let q(j) = 6*f(j) + 25*p(j). Factor q(u).
5*u**2*(u + 383)
Let c(l) be the first derivative of l**7/63 + l**6/45 - 85*l + 73. Let u(r) be the first derivative of c(r). Factor u(y).
2*y**4*(y + 1)/3
Let s(q) be the first derivative of 3*q**4/4 - 232*q**3 + 20184*q**2 - 1657. Factor s(r).
3*r*(r - 116)**2
Find a, given that a**4 - 139*a**2 + 6700*a + 35*a**5 - 2155 - 1041*a**2 + 2859*a**4 - 6735*a**3 + 475 = 0.
-84, -1, 2/7, 1, 2
Let u be (-1)/8 - 1387/(-152). Suppose -24 = -u*y + 3. Factor 2*r + r**y + 2*r**4 + 2*r**2 + 2*r**3 + 4*r**2 + 3*r**3.
2*r*(r + 1)**3
Let d(w) be the first derivative of w**4/18 - 7*w**3/3 - 22*w**2/3 + 34*w + 2. Let t(s) be the first derivative of d(s). Factor t(b).
2*(b - 22)*(b + 1)/3
Let d be 2*3 + 11/((-44)/12). Factor -2*t**5 + 152*t**d - 12*t**2 - 40*t**4 - 190*t**3 - 12*t**5.
-2*t**2*(t + 1)**2*(7*t + 6)
Let i(z) be the third derivative of z**6/240 + z**5/40 - z**4/12 - 388*z**2. Factor i(y).
y*(y - 1)*(y + 4)/2
Let k(y) = -16*y**2 + 239*y - 861. Let u(r) = 18*r**2 - 238*r + 872. Let v(c) = -20*k(c) - 18*u(c). What is m in v(m) = 0?
-127, 3
Suppose -y - 8*v - 14 = -4*y, -5*v = 5*y - 5. Factor 6*u - 1/3*u**y - 27.
-(u - 9)**2/3
Let o(p) be the second derivative of p**7/945 + p**6/540 - 8*p**5/135 + 5*p**4/27 + 103*p**2 - 220*p. Let l(j) be the first derivative of o(j). Factor l(d).
2*d*(d - 2)**2*(d + 5)/9
Let c = 93008 + -651052/7. Factor -c*t**3 - 16/7*t**2 - 20/7*t - 8/7.
-4*(t + 1)**2*(t + 2)/7
Let b(o) be the second derivative of 64*o**5/5 - 271*o**4/6 + 158*o**3/3 - 15*o**2 + 3*o + 3060. Factor b(y).
2*(y - 1)**2*(128*y - 15)
Let w = -10046 - -10046. Let f(i) be the second derivative of 0 + 11/40*i**5 + w*i**2 + 11*i + 1/3*i**3 + 7/12*i**4 + 1/24*i**6. Factor f(u).
u*(u + 2)**2*(5*u + 2)/4
Let y(n) be the third derivative of 5*n + 2*n**2 - 1/15*n**5 - 1/3*n**4 + 0 + 10*n**3. Find l such that y(l) = 0.
-5, 3
Find h such that 136/11 - 8/11*h**2 + 2/11*h = 0.
-4, 17/4
Let y = -2906 - -29063/10. Let g(v) be the third derivative of -7*v**2 - y*v**5 + 0 - 1/10*v**6 - 1/2*v**4 - 1/2*v**3 + 0*v - 1/70*v**7. Factor g(b).
-3*(b + 1)**4
What is o in -1/6*o**2 - 244 - 191/6*o = 0?
-183, -8
Let q(v) = 2*v**2 + 198*v - 200. Let n(w) be the third derivative of w**5/12 + 595*w**4/24 - 100*w**3 - 12*w**2 - 8*w. Let m(z) = 6*n(z) - 17*q(z). Factor m(g).
-4*(g - 50)*(g - 1)
Let h(z) be the third derivative of z**5/300 + 241*z**4/60 + 108*z**2 - 7. Factor h(j).
j*(j + 482)/5
Let h(i) be the first derivative of -5*i**9/1728 + 3*i**8/448 - i**7/336 + i**3/3 - 25*i**2 - 167. Let n(p) be the third derivative of h(p). Factor n(s).
-5*s**3*(s - 1)*(7*s - 2)/4
Let k(g) = -g**3 - 3*g**2 + 2. Let o(p) = p**4 + 102*p**3 + 2310*p**2 + 22385*p + 77176. Let w(x) = 44*k(x) + 4*o(x). Determine h, given that w(h) = 0.
-58, -11
Let s(v) be the first derivative of -4*v + 2 + 0*v**4 + 1/4*v**3 - 3/40*v**5 + 1/40*v**6 - 3/8*v**2. Let i(y) be the first derivative of s(y). Factor i(t).
3*(t - 1)**3*(t + 1)/4
Suppose -123 = -27*q + 66. Suppose 0 = -5*u + q*u - 4. Determine x so that -1/7*x**u + 0*x + 0 + 1/7*x**3 = 0.
0, 1
Let a(t) = -6*t**4 - 166*t**3 + 997*t**2 - 2123*t + 1429. Let r(i) = -2*i**4 - 56*i**3 + 332*i**2 - 708*i + 476. Let d(y) = 8*a(y) - 22*r(y). Factor d(s).
-4*(s - 2)**3*(s + 30)
Suppose -4*u - 4*w = -24, 0 = -4*u - 3*w + 17 + 4. Suppose 4*m - 29 = u*q - 8*q, 0 = -2*m - 8. Factor -4*v - v**2 - 5 + 10 - q.
-(v + 2)**2
Let l = -518 + 518. Suppose l = -30*w + 34
|
{
"pile_set_name": "DM Mathematics"
}
|
x**3 + x**2 - x + 1. Let i be (8/(-14))/(6/(-21)). Let n be s(i). Calculate the highest common factor of n and 209.
19
Suppose -6392 - 10660 = -12*s. What is the greatest common factor of 29 and s?
29
Suppose -2*v = -w - 2, 5*w - 3*v - 11 = -0*v. Suppose -k = w, -5*f + 6*f - 42 = 4*k. What is the highest common divisor of 78 and f?
26
Let o(j) = -2*j**2 + 28*j + 11. Let p be o(14). Suppose -5*k - 78 = -p*k. What is the greatest common divisor of 26 and k?
13
Let h be 33/22*(-3)/((-6)/8). Suppose -h*m - 2 = -2*i - 2*m, -i = m - 16. Calculate the greatest common divisor of 11 and i.
11
Suppose 244 = l + 2*q, 0*q = l + q - 239. What is the highest common divisor of l and 52?
26
Let v = -18 + 19. Let l be (v + 9)*(-132)/(-15). What is the highest common divisor of 11 and l?
11
Let j = 18 - -3. Let n = -9 + j. Suppose f - 6*f - 38 = -p, -5*p + 238 = -f. What is the greatest common divisor of n and p?
12
Suppose -7*f + 304 = -200. What is the highest common divisor of f and 252?
36
Suppose 23*y - 6220 = -355. Calculate the greatest common factor of y and 30.
15
Let w = -25 + 18. Let d = w + 13. Suppose 115 = d*p + 25. What is the highest common factor of 45 and p?
15
Suppose 18 = q - 3*n - 2*n, 5*q + 5*n = 0. Suppose -5*t - 2*i + 69 = 0, q*t - t + 2*i = 24. Calculate the highest common divisor of t and 60.
15
Suppose 23 = 5*j - 2. Let r(v) = -v**3 + 6*v**2 - 2*v - 5. Let n be r(j). Calculate the highest common factor of 5 and n.
5
Suppose 5*o = 2*o + 753. Suppose 0 = 2*i - 1 - o. What is the greatest common factor of 18 and i?
18
Suppose -21*i = -17*i - 100. Let v be (-4)/14 + (-877)/(-7). Calculate the greatest common divisor of i and v.
25
Suppose 3*a = a + 84. Let u(b) = b**3 - 12*b**2 + 16*b - 57. Let x be u(11). Let y be (-45)/x*(96/9 + -6). What is the highest common divisor of y and a?
21
Let f(k) = k**2 - 10*k - 9. Let x(c) = -c**2 + 10*c + 8. Let s(t) = 4*f(t) + 3*x(t). Let d be s(13). What is the greatest common factor of d and 9?
9
Suppose q = 3*q + 4*p + 8, 0 = 5*q + 5*p. Suppose q*v - 320 = -0*v. What is the highest common divisor of 16 and v?
16
Let y be ((2/6)/((-28)/336))/((-4)/13). Let a = 65 - 104. Let d be (1 + -9)*a/6. What is the highest common factor of d and y?
13
Let m be (-9)/1*(22 - 12 - 11). Calculate the greatest common divisor of 1737 and m.
9
Suppose i = 4*i + 3, 4*r + 4*i - 44 = 0. What is the highest common factor of r and 276?
12
Let f = -229 + 154. Let s = f - -86. What is the highest common factor of s and 88?
11
Let l = -15 + -4. Let u be 0 - l - (8 + 1 + -7). Calculate the greatest common factor of u and 17.
17
Let q(v) = -5*v**3 - 3*v**2 - 6*v - 7. Let i = 10 + -12. Let k be q(i). Calculate the greatest common divisor of k and 231.
33
Let a = -10387 - -10408. Let n be (3/2)/((-6)/(-56)). What is the highest common factor of a and n?
7
Suppose -5*k + 5*f + 4817 = 1137, -4*k + 3*f + 2944 = 0. Calculate the greatest common divisor of 23 and k.
23
Suppose 5*x + 37 = 4*h, 2 + 6 = -4*h - 4*x. Let w = -49 - -85. What is the highest common factor of h and w?
3
Let h be 7/3*((-6)/(-6) - -2). Calculate the highest common divisor of 63 and h.
7
Let q(v) = v**3 + 6*v**2 - 5*v. Let m be q(-5). Suppose 5*k - 11 - 34 = 0. Suppose -27*g = -k*g - 360. Calculate the highest common factor of m and g.
10
Let s(b) = -b**3 + 3*b**2 + 6*b - 8. Let r be s(4). Suppose r*u = 4*u - 156. Calculate the greatest common factor of 13 and u.
13
Suppose -4*d - 63 = m, -d = -4*m + m + 6. Let p = 4 + d. Let j = p + 15. What is the highest common divisor of 12 and j?
4
Let o be ((-26)/8 + 1)*(-32)/6. Let y be (-220)/(-7) - o/(-21). What is the greatest common factor of y and 128?
32
Let s(u) = -u**2 - 2*u + 2. Let r be s(-5). Let d = -3 - r. Suppose 6*g = 5*g + d. Calculate the greatest common factor of 10 and g.
10
Let f be (-3 - (-5 - -3))*0. Suppose -4*r + f*r - 72 = 0. Let v be (-662)/(-12) + 3/r. Calculate the greatest common factor of 11 and v.
11
Let i(p) = 3*p - 1. Let q be i(1). Let m(r) = 13*r - r**q - 2*r + 4*r**2 + 18 - 2*r**2. Let n be m(13). What is the highest common factor of n and 30?
30
Let o be 5*-3*(-2944)/120. What is the greatest common divisor of 16 and o?
16
Suppose 4*b - 3*w = 120, 2*w + 98 = 4*b - 18. Calculate the highest common divisor of 387 and b.
9
Let u be (0/2)/(-1) + 1 - -77. What is the greatest common factor of 130 and u?
26
Let h be 1/(-4) + (-360)/(-32). Let z = h - 8. Suppose 52 + 155 = z*r. What is the highest common factor of 46 and r?
23
Let z = -912 + 1032. What is the highest common factor of z and 60?
60
Let f be (288/6)/((-2)/(-15)). Suppose 1362 - f = 3*t. Let a = 488 - t. Calculate the highest common divisor of a and 22.
22
Suppose 2*a + 55 = 3. Let l = 31 + a. Calculate the greatest common factor of l and 5.
5
Let a = 19 - -3. Suppose 2*s - a = s. Let d(t) = 2*t + 29. Let j be d(-9). What is the greatest common divisor of s and j?
11
Suppose -18928 = -54*c - 4186. What is the greatest common divisor of c and 13?
13
Let p = 161 - -253. What is the highest common factor of p and 36?
18
Let n = 16 + -11. Suppose n*h - 12 = h. Let o be -2 - -4 - (0 + -1). Calculate the highest common factor of o and h.
3
Suppose 15*a = 11*a - 8. Let u be (204/(-36))/(a/6). Calculate the highest common divisor of 119 and u.
17
Suppose y + 9 = 34. Suppose -110 = -y*i + 20*i. Calculate the highest common factor of i and 132.
22
Suppose -235*z + 512 = -231*z. Calculate the greatest common factor of z and 8.
8
Let x = -675 + 696. Calculate the greatest common factor of x and 189.
21
Let r be ((-15)/20)/(1/(-4)). Let h be (-2)/(3*r/36). Let b be (-1 + (-76)/h)*2. What is the greatest common divisor of b and 34?
17
Suppose -3 = q, 5*f + 72 = f + 4*q. Let a = f - -23. What is the highest common factor of a and 26?
2
Let z(w) = w**3 + w**2 + 5*w + 437. Let d be z(0). What is the highest common factor of 19 and d?
19
Let l = -221 + 256. Calculate the greatest common divisor of l and 14.
7
Suppose 2*x + 0*x = 216. Suppose -4*a = -2*y + 182, -5*y - 4*a = -0*y - 441. Suppose -46 = -5*t + y. Calculate the highest common divisor of x and t.
27
Suppose q + q = 3*m - 857, 428 = -q + 2*m. Let o = -190 - q. Calculate the highest common divisor of 30 and o.
30
Let l = 519 - 279. Calculate the greatest common factor of 504 and l.
24
Let s = -3434 - -3438. Let c(m) = -m**3 + m**2 + m + 44. Let v be c(0). Calculate the greatest common factor of s and v.
4
Suppose -3*c = 9, 3*c + 1053 = 5*m - 3*m. What is the highest common divisor of m and 36?
18
Let d be 345/9*(2 + 25/(-5)). Let y = d - -142. Calculate the highest common factor of y and 3.
3
Suppose 200 = 7*i - 2*i. What is the highest common factor of i and 110?
10
Suppose -219 = -2*m + 5*k, -55 = m - 5*k - 162. Suppose 4*r + 110 = 4*h + 3*r, -2*r = -4*h + m. Calculate the greatest common divisor of 108 and h.
27
Suppose 2*p + 3*y + 27 = 0, -4*y + 14 = -4*p - 10. Let j = 31 + p. What is the greatest common divisor of j and 2?
2
Let q = 54 - 40. Let v be (0/1)/((-18)/9). Let s(x) = x**3 - x**2 + x + 14. Let c be s(v). What is the greatest common divisor of q and c?
14
Suppose -3*a + 4*o + 544 = 0, 3*o - 8*o - 20 = 0. Calculate the greatest common factor of 22 and a.
22
Let a = -1081 - -1094. What is the greatest common factor of 559 and a?
13
Let u = 97 + 19. What is the greatest common factor of u and 29?
29
Let q be ((-21)/(-12))/(13/208). What is the highest common divisor of q and 308?
28
Let k = 54 + -26. What is the greatest common factor of k and 56?
28
Suppose g - 4*g - 4*o - 13 = 0, 0 = -3*o - 12. Let d = 2 + 0. Calculate the greatest common factor of d and g.
1
Let z = 26 - 14. Suppose z*q - 11*q = 38. Calculate the greatest common factor of 57 and q.
19
Let b be 10/4*440/5. Suppose -4*c = -3*c - 20. What is the highest common divisor of b and c?
20
Let g(h) = 9*h**2 + 2*h**3 + 4*h**3 - 1 - 6*h**2 - 8*h**3. Let v be g(-3). What is the greatest common divisor of v and 48?
16
Suppose j + 3*j = -2*a + 768, -2*j + 758 = 2*a. What is the highest common factor of 221 and a?
17
Let i = 818 + -427. What is the highest common divisor of 23 and i?
23
Suppose 18*q + 1196 = 3446. Calculate the greatest common divisor of q and 10.
5
Let j(z) = -18*z + 85. Let l be j(-13). Calculate the grea
|
{
"pile_set_name": "DM Mathematics"
}
|
lculate the remainder when 71 is divided by s.
17
Suppose -3*j + 21*w = 16*w - 49, -w = 5. Calculate the remainder when 30 is divided by j.
6
Suppose -8*m = -3*m - 235. Suppose 3 - m = -2*h. Let x(g) = -g**3 + g**2 - 3*g + 62. What is the remainder when x(0) is divided by h?
18
Let m = 25 - 20. Suppose -11*r = -m*r - 24. What is the remainder when ((-5)/r)/((-13)/884) is divided by 22?
19
Let x(y) be the second derivative of -y**5/20 + y**4/12 + 5*y**3/3 + 4*y. Calculate the remainder when 35 is divided by x(3).
11
Suppose 12 = -3*l + 33. Suppose l*d = 341 + 30. What is the remainder when d is divided by 9?
8
Let o(l) = 4*l**2 + 18*l + 41. What is the remainder when o(-8) is divided by 52?
49
Suppose 5*n = -76*r + 79*r - 305, r - 4*n - 111 = 0. Suppose 3*q + 35 = 83. What is the remainder when r is divided by q?
15
Suppose -r = 9 - 10. Let f be ((-7)/(-21))/(r/6). Let a(c) = 5*c**2 - 3*c. Calculate the remainder when 26 is divided by a(f).
12
Let u be 66 + 6/(1 - -2). Suppose -2*x - 3*d = -3*x + 2, 0 = -4*x - 3*d + u. What is the remainder when x is divided by 4?
2
Suppose 9*r - 126 = 2*r. Calculate the remainder when 30 is divided by (0 - 33)*(-6)/r.
8
Let m(a) = -2*a**2 + 10*a - 6. Let w be m(6). Let r = 24 + w. Suppose -4*f - 5*i + 18 = 0, -5*i + 3 + 3 = -2*f. What is the remainder when r is divided by f?
0
Let i = -264 + 133. Let o = -70 - i. Suppose 3*u - 96 = -0*u. Calculate the remainder when o is divided by u.
29
What is the remainder when 14/28*12*9 is divided by 15 - ((-6)/(-4))/(3/8)?
10
Let d(h) = -6*h + 3. Let l be d(-9). Suppose l = -3*m + 5*c, -2*m = -4*m + 5*c - 43. Let z = 23 + m. Calculate the remainder when 34 is divided by z.
7
Let u = 1225 - 1203. Calculate the remainder when 590 is divided by u.
18
Suppose 60 + 43 = j. Suppose c - 3*m = -4*c + 350, -4*c = 5*m - 243. Let z = c + -41. What is the remainder when j is divided by z?
25
Suppose t - f = 3, 14*f + 15 = 3*t + 13*f. Calculate the remainder when 89 is divided by t.
5
Let p(d) = -82*d + 18. What is the remainder when p(-3) is divided by 30?
24
Let i be (-13 - 1)*1/6*-39. Let z = i - 74. Let a(f) = 7*f**2 + f + 2. Calculate the remainder when a(2) is divided by z.
15
Let t be 2/7 + 614/7. Let w = -59 + t. Let q = -1618 - -1702. Calculate the remainder when q is divided by w.
26
Suppose 8*m + 5*q - 226 = 0, 104 = 4*m - 0*m - 2*q. What is the remainder when (-1904)/(-18) + (-10)/(-45) is divided by m?
25
Let i(z) = -2*z - 23. Let x be i(-13). Suppose x*y = -4 + 37. Let u(b) = 10*b + 2. What is the remainder when u(5) is divided by y?
8
Let j(n) = 2*n**2 + 20*n + 97. Calculate the remainder when j(-15) is divided by 21.
16
Suppose 21*q + 296 = 1535. What is the remainder when 230 is divided by q?
53
What is the remainder when (-1 - 0/(-3))/((-4)/44) is divided by 7?
4
Calculate the remainder when (-2)/(-9) - 8743/(-63) is divided by 14.
13
Calculate the remainder when (-32)/(-40) + (-10755)/(-25) + -4 is divided by 39.
37
Let i = 88 + -36. What is the remainder when i is divided by 18?
16
Suppose h = 4*x - 0*h - 152, 168 = 4*x + 3*h. What is the remainder when x is divided by 20?
19
Suppose -273*s + 2523 = -244*s. What is the remainder when s is divided by 37?
13
Let s(b) = -8*b**3 - b**2 - 9*b + 1. Calculate the remainder when s(-3) is divided by 12.
7
Let s = -40 - -44. Suppose -s*u = -13 - 23. Calculate the remainder when 69 is divided by u.
6
Let w(h) = h**3 + 6*h**2 + 3*h + 1. What is the remainder when (-246)/(-12) - (0 + 3/(-6)) is divided by w(-5)?
10
Suppose -5*v - 2*c = c - 2074, 0 = 3*c + 6. What is the remainder when v is divided by 22?
20
Suppose -74*c + 3304 = -18*c. Calculate the remainder when c is divided by 29.
1
Let x(v) = 4*v + 4. Let t(k) = -1. Let a(f) = 5*t(f) - x(f). Suppose -34*l + 3562 = 1114. Calculate the remainder when l is divided by a(-6).
12
Suppose d - 163 = 5*k, d - 143 = -k + 2*k. Calculate the remainder when d is divided by 70.
68
Suppose -2*u = -4*x + 50, -27 + 7 = -3*x - 2*u. Calculate the remainder when 139 is divided by x.
9
Let y = 22 + -19. Let b = -809 - -828. Calculate the remainder when b is divided by y.
1
Suppose -z + 3 + 85 = 0. Suppose 0 = 7*n - z + 25. What is the remainder when 33 is divided by n?
6
Let d(c) = -2*c**3 + 42*c**2 + 4*c - 10. Calculate the remainder when d(21) is divided by 2.
0
Let y(h) = -36*h + 37. Calculate the remainder when y(-8) is divided by 158.
9
Suppose w - 5 = -2*d - 4, 5*w = -d + 32. Let i(z) = 12*z - 95. What is the remainder when i(10) is divided by w?
4
Let m(o) = -o**2 + 5*o + 8. What is the remainder when 11/22 - 5/(-2) is divided by m(6)?
1
Let p = -1593 - -1613. Suppose 0 = 4*q - 356 + 48. Calculate the remainder when q is divided by p.
17
Let t(l) = 2*l - 8. Let o be t(9). Suppose 0 = 2*h - o*h + 128. Calculate the remainder when 74 is divided by h.
10
Let m = 560 - 523. What is the remainder when 50 is divided by m?
13
Calculate the remainder when 84 is divided by 2/(153/(-27) + 6).
0
Let t(m) = -7*m**3 + 49*m**2 + 9*m - 13. Calculate the remainder when 397 is divided by t(7).
47
Suppose 13*k + 444 - 1133 = 0. Calculate the remainder when k is divided by 27.
26
Let j = 339 + -313. Calculate the remainder when 57 is divided by j.
5
Let x = -2 + 2. Suppose t + x - 3 = 0. Suppose 375 = 19*q - 474 + 716. Calculate the remainder when q is divided by t.
1
Let o(x) = -x**2 + 9*x - 1. Let b be o(7). Suppose 0 = k - 5*s + 2*s - b, 2*k - 2*s - 26 = 0. Calculate the remainder when 24 is divided by k.
11
Let p = -30 + 42. Calculate the remainder when -3*44*10/(-20) is divided by ((-34)/6)/((-4)/p).
15
Let b be (60/(-25))/(1/(-35)). Let a = -56 + b. Calculate the remainder when a is divided by 15.
13
What is the remainder when (-8)/20 - (-4191)/15 is divided by 94?
91
Suppose -1346 = -3*z - 4*s, -s + 176 - 1088 = -2*z. Suppose 0 = 2*v + v - 51. What is the remainder when (-6)/14 - z/(-14) is divided by v?
15
Suppose 3*t = 3*n + 705, -3*t - n + 333 + 380 = 0. What is the remainder when t is divided by 48?
45
Let g(i) = -2*i**2 - 16*i + 13. What is the remainder when g(-6) is divided by 31?
6
Suppose 9*l = -113 + 212. Let x(i) = i**2 - i - 5. Calculate the remainder when x(-6) is divided by l.
4
Let t = -102 - -104. Let d = t + 21. Calculate the remainder when 299/7 - 10/(-35) is divided by d.
20
Let b(n) = -2*n + 44. Calculate the remainder when b(-21) is divided by 26.
8
Suppose -2*s - 19*h + 24*h + 442 = 0, 2*s + 4*h - 460 = 0. What is the remainder when s is divided by 4?
2
Suppose -5*g = 2*d + 2*d - 36, 12 = 4*g - d. Suppose -6*r = -8*r + 6. Suppose -r*k = k - 20. What is the remainder when k is divided by g?
1
Let q = 29 - 65. Let a = 73 + q. Calculate the remainder when a is divided by 10.
7
Calculate the remainder when 65 is divided by -7 + (-192)/(-8) + -1 + -2.
9
What is the remainder when 487 is divided by 4/10*(-9 + 259 + -5)?
95
Let t be (8 - -1)*(-10)/(-15). Let a(i) = -t + 3*i + 30 - i. What is the remainder when 4 is divided by a(-11)?
0
Let p = 139 - 98. Calculate the remainder when (0 + 4)/((-37)/(-1110)) is divided by p.
38
Let a = 556 - 520. Calculate the remainder when a is divided by (0 + 2/2)*19.
17
Let f = 2171 - 2159. Suppose 6*q - 4*q - 8 = 0. Suppose 2 + 10 = q*c. Calculate the remainder when f is divided by c.
0
Suppose 0 = -372*p + 373*p - 12. Calculate the remainder when 188 is divided by p.
8
Suppose -2*d - 6 - 4 = 0, 3*t + 2*d = -4. Let b(p) = -p**3 + 7*p**2 + 7*p + 17. Let v be 5 - 2/2*-3. Calculate the remainder when b(v) is divided by t.
1
Let w(g) = -g**3 + 12*g**2 - 12*g + 2. Let r(i) = 2*i**2 - 6*i - 4. What is the remainder when w(3) is divided by r(5)?
15
Let b = -58 + 154. Let r be (-1 - 26/2)/(-2). Suppose -n - b = -r*n. Calculate the remainder when 78 is divided by n.
14
Let m(n) = n**2 - n + 109. Suppose -15*b + 442 - 22 = 0. Calculate the remainder when m(0) is divided by b.
25
Let b(g) = -g**3 - 8*g**2 - g + 11. Let t be b(-8). Let u = 14 - t. Let x(i) = i**3 + 6*i**2 + 5*i + 4. Calculate the remainder when 19 is divided by x(u).
3
Let z be 0 + (-44 + 2)/(-1). Let s = z - 27. What is the remainder when 29 is divided by s?
14
Let g = 15 - 5. What is the remainder when 8 is divided by ((-14)/(-4))/(g/20)?
1
Suppose 2*g - 12 = 28. What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
1.6?
-1.6
Which is the smallest value? (a) -0.1 (b) 16/15 (c) -19
c
Which is the biggest value? (a) 5 (b) -4 (c) 83
c
Which is the third smallest value? (a) -4 (b) 5 (c) -1
b
Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 2/9 (d) 0.09 (e) 1/3
c
What is the third biggest value in -1/10, 0.04, 5?
-1/10
Which is the second smallest value? (a) -1/11 (b) -0.5 (c) -1/10 (d) -0.3
d
Which is the fifth smallest value? (a) -2/23 (b) 2 (c) -28 (d) 4 (e) 0.3
d
What is the second smallest value in 3, -5, -1/3, -1/740?
-1/3
Which is the biggest value? (a) 1 (b) 1365 (c) -4
b
What is the second biggest value in -1/5, 1, -3/7?
-1/5
What is the third biggest value in 3/5, 5, 3.14?
3/5
Which is the second smallest value? (a) 1/3 (b) 5 (c) -23 (d) 4/7
a
What is the second smallest value in -1.1, 8, -2, 0?
-1.1
What is the biggest value in 924, 1/8, -5, -4?
924
What is the fifth biggest value in -9, 5, -65, 4, 0.1?
-65
Which is the second smallest value? (a) 0.4 (b) 16 (c) 0
a
Which is the smallest value? (a) -236 (b) -0.5 (c) -3
a
Which is the third smallest value? (a) -1 (b) 1.4 (c) -2
b
What is the biggest value in 1/5, 0.04, 1/3, -0.06?
1/3
What is the second biggest value in -3, 290, 2?
2
What is the second biggest value in 2/3, 15, -0.1, -4, -0.5?
2/3
What is the third smallest value in -0.1, -1.3, -1/3, -3?
-1/3
Which is the fourth biggest value? (a) -2 (b) -4 (c) -3 (d) -2/5 (e) -40
b
Which is the third smallest value? (a) 131 (b) 0.5 (c) 0
a
Which is the fourth smallest value? (a) 5 (b) 0.3 (c) 0 (d) 4/21
a
What is the second smallest value in -0.5, 198, -2, 1/9?
-0.5
Which is the third biggest value? (a) -2 (b) 0 (c) -1/8
a
What is the fifth biggest value in -0.3, 0.1, 21, 4, 6/7?
-0.3
Which is the third smallest value? (a) -2 (b) -0.2 (c) 3 (d) -2/21
d
Which is the third biggest value? (a) 1/6 (b) 0.2 (c) 10 (d) -4 (e) -0.1
a
What is the fifth smallest value in 5, -4, -3, -11, 0.2?
5
Which is the fifth smallest value? (a) 3/2 (b) 70 (c) -0.2 (d) -1 (e) 5
b
What is the fourth biggest value in 5/13, -1, 5, -0.2?
-1
Which is the smallest value? (a) -102 (b) -2 (c) -0.5
a
Which is the second biggest value? (a) 5 (b) -2/9 (c) -13 (d) 0.1
d
Which is the second biggest value? (a) -0.53 (b) -4/9 (c) 4
b
What is the fourth smallest value in 2/7, 5, 0.042, 4?
5
What is the biggest value in -1/2, -3, -0.05, 0.5, -5/4?
0.5
Which is the third biggest value? (a) 2 (b) 1/7 (c) -2 (d) 2/11
b
Which is the second biggest value? (a) -0.7 (b) -4 (c) 1/7 (d) 1/2
c
What is the biggest value in -0.4, -3, -0.2005, -0.2?
-0.2
What is the second biggest value in -3, 113/5, 0.1?
0.1
Which is the second biggest value? (a) -3 (b) 3/7 (c) 1/65 (d) -2/5 (e) -1
c
Which is the second smallest value? (a) -38 (b) -0.3 (c) 10
b
What is the biggest value in -2/3, -5, 0.157?
0.157
Which is the third smallest value? (a) -1/10 (b) 5/3 (c) -6 (d) 0.1
d
Which is the fourth biggest value? (a) 3 (b) 2/7 (c) -4 (d) 1
c
Which is the smallest value? (a) -2.9 (b) 0.5 (c) 0.7
a
Which is the fourth biggest value? (a) 1/4 (b) -4 (c) 6/11 (d) 2
b
What is the third smallest value in 2/5, -1/2, 3/31, -4?
3/31
What is the smallest value in 5/4, -0.3, 5, -3?
-3
What is the second biggest value in 27, 1/6, 3?
3
What is the second biggest value in 5, -3.1, 37?
5
Which is the third smallest value? (a) -0.3 (b) 12 (c) 2/5 (d) -13
c
Which is the third smallest value? (a) -0.2 (b) -5 (c) 0 (d) -1/4
a
What is the fourth smallest value in 2/5, -1/2, -4, -2/41?
2/5
What is the third smallest value in -5, 2/7, -117, -1, -0.2?
-1
What is the second smallest value in 5, -443, -5, -2/7?
-5
Which is the second smallest value? (a) -2 (b) 2/3 (c) -0.5 (d) 4
c
What is the smallest value in 1.5, 0, -0.19?
-0.19
Which is the biggest value? (a) -0.5 (b) -8 (c) -3/38
c
Which is the biggest value? (a) -3 (b) 76 (c) -56
b
Which is the fifth smallest value? (a) -4 (b) 4 (c) 0.2 (d) 2/11 (e) 3
b
What is the second biggest value in -1, 3, -0.15, 13?
3
What is the third smallest value in 1/2, 3, -0.4, 4/3?
4/3
Which is the third biggest value? (a) 3/7 (b) 5 (c) 2
a
What is the second biggest value in -1/4, 110, 25?
25
What is the biggest value in -2, -1.31, 0, -3/4?
0
Which is the third smallest value? (a) 3 (b) -1 (c) -3 (d) 2/19
d
What is the second smallest value in -1/10, -6, 5/4, -8, 2?
-6
What is the biggest value in 6, -2, -4?
6
What is the fourth smallest value in 2/15, -17, -2, 5?
5
Which is the biggest value? (a) 11 (b) 0.13 (c) 7
a
Which is the biggest value? (a) 4 (b) 1905 (c) -4
b
What is the third biggest value in -2/7, 1/3, -1/3, 0.2, -0.9?
-2/7
What is the smallest value in 2, 36, -7, -0.4?
-7
What is the second biggest value in 1/5, -1, 0.4, 7/16?
0.4
What is the fourth smallest value in -2/5, -4, 1/6, -3/4?
1/6
What is the biggest value in 73, 5, 0?
73
What is the third biggest value in 2/11, 11, -5, 5?
2/11
Which is the smallest value? (a) -24 (b) -2 (c) 0 (d) 0.1 (e) -221
e
Which is the fourth biggest value? (a) 1/2 (b) -38 (c) 1 (d) 2/17
b
What is the biggest value in 155, -5, 1/6?
155
Which is the second biggest value? (a) -0.3 (b) 3/8 (c) -4 (d) 0
d
Which is the smallest value? (a) -18 (b) 2/11 (c) -85
c
Which is the fifth biggest value? (a) 3.3 (b) 0 (c) -23 (d) -4 (e) 0.2
c
What is the biggest value in -12/7, 2/47, -0.2, -4/5?
2/47
What is the fourth smallest value in -4, 1/2, -4/3, -0.76?
1/2
Which is the biggest value? (a) 1 (b) -1 (c) 5/2 (d) 1/72
c
Which is the smallest value? (a) -2 (b) 33 (c) -2/9
a
What is the second biggest value in 2/5, -1, -35/3, 1/5, -0.5?
1/5
Which is the third biggest value? (a) -0.3 (b) 373 (c) 9
a
What is the smallest value in -0.02, -47, 2/3?
-47
Which is the biggest value? (a) -3 (b) -7 (c) 0.4 (d) -0.158 (e) 4
e
What is the second biggest value in -4, 4, -509/5, 2/3, 1/2?
2/3
Which is the smallest value? (a) -4/5 (b) -5 (c) 21 (d) 0.2 (e) 0.02
b
Which is the second smallest value? (a) 0.5 (b) 0.27 (c) 0.4
c
Which is the fourth smallest value? (a) 4 (b) 0.03 (c) -11 (d) -3/7
a
Which is the biggest value? (a) -3/2 (b) 9 (c) 3 (d) 0.1 (e) -2/5
b
Which is the biggest value? (a) 3 (b) 5 (c) -50/123
b
Which is the fourth smallest value? (a) 3 (b) -2/3 (c) 2 (d) 43
d
Which is the second smallest value? (a) 0.3 (b) -2/3 (c) 5 (d) 36 (e) -4
b
Which is the biggest value? (a) -8 (b) -2 (c) 1 (d) -3
c
Which is the fifth smallest value? (a) -1.3 (b) -5 (c) 0 (d) 6 (e) 5
d
Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 1/3 (d) 0
d
What is the second biggest value in -1, -25, -3/8?
-1
What is the third smallest value in 15, 4, -1/4?
15
Which is the fifth biggest value? (a) -33 (b) 84 (c) -3 (d) 2/11 (e) -0.2
a
Which is the second smallest value? (a) 3 (b) -4/5 (c) -0.1 (d) -2
b
Which is the second smallest value? (a) 2/3 (b) 5/4 (c) 0.1
a
What is the smallest value in -2/9, 115, 3?
-2/9
Which is the third smallest value? (a) 11 (b) 0.2 (c) -24/7
a
What is the second smallest value in 4, -0.04, -0.1, -4/3, 6?
-0.1
What is the biggest value in -0.1, 28, -0.5?
28
What is the third biggest value in -10, -76/11, 0.3?
-10
What is the fourth biggest value in 0.2, 4, -4, -0.09?
-4
What is the smallest value in 2.1, -2, -16?
-16
What is the third smallest value in 3/8, -56, 5?
5
Which is the second biggest value? (a) 2 (b) -0.04 (c) 0.4 (d) -4 (e) -18
c
Which is the biggest value? (a) 0 (b) -6 (c) -62 (d) -4
a
Which is the fourth smallest value? (a) 3 (b) 0.5 (c) 15 (d) -4/7
c
Which is the fifth smallest value? (a) -2/5 (b) 2 (c) 4 (d) -3 (e) 33
e
What is the third biggest value in 0.36, -0.1, 9, 3/4?
0.36
Which is the smallest value? (a) -1/10 (b) 0.3 (c) 126
a
Which is the second smallest value? (a) 0.2 (b) 0.0106 (c) 4
a
Which is the second smallest value? (a) 4 (b) -123/7 (c) -5
c
Which is the fourth biggest value? (a) 2/11 (b) 1/42 (c) -0.4 (d) 2/9
c
What is the biggest value in 0.1, -0.3, 19?
19
What is the second smallest value in 2/3, 1/8, 5?
2/3
Which is the third biggest value? (a) 4/11 (b) -4 (c) 0.3
|
{
"pile_set_name": "DM Mathematics"
}
|
when two letters picked without replacement from acfcoga?
1/21
Calculate prob of picking 2 p when two letters picked without replacement from kppnppnpkpnkpk.
3/13
Calculate prob of picking 1 e, 1 l, 1 s, and 1 x when four letters picked without replacement from {l: 2, s: 1, x: 1, e: 1}.
2/5
Two letters picked without replacement from xxdoxxxvxxvxod. Give prob of picking 1 o and 1 x.
16/91
What is prob of picking 1 c and 1 t when two letters picked without replacement from {t: 1, z: 2, c: 1, d: 5}?
1/36
Two letters picked without replacement from {m: 1, p: 1, e: 7, a: 8}. What is prob of picking 1 e and 1 p?
7/136
Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, x: 8, y: 2, i: 2, h: 4}.
1/969
Two letters picked without replacement from {s: 6, k: 2, f: 11}. Give prob of picking 1 f and 1 s.
22/57
Three letters picked without replacement from {f: 2, w: 5}. What is prob of picking 3 w?
2/7
What is prob of picking 1 t and 1 o when two letters picked without replacement from {v: 6, t: 6, z: 2, h: 2, o: 1, n: 1}?
2/51
Four letters picked without replacement from {v: 7, r: 5}. Give prob of picking 2 r and 2 v.
14/33
What is prob of picking 2 p and 1 t when three letters picked without replacement from ppptpppt?
15/28
Four letters picked without replacement from rjjreejjjjrjrjjjjrjj. Give prob of picking 1 e and 3 r.
4/969
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xjyyyjjj.
1/7
Four letters picked without replacement from {g: 3, v: 9, h: 2, z: 5}. Give prob of picking 2 h, 1 v, and 1 g.
9/1292
Three letters picked without replacement from {v: 1, c: 1, g: 7, n: 1, l: 3}. What is prob of picking 1 l, 1 n, and 1 g?
21/286
What is prob of picking 2 e when two letters picked without replacement from {x: 1, n: 9, r: 2, e: 2, w: 3}?
1/136
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, j: 12, f: 1, c: 1, i: 2}.
1/68
What is prob of picking 2 u when two letters picked without replacement from {u: 8, c: 1, w: 1, e: 1, s: 1}?
14/33
What is prob of picking 1 o and 1 b when two letters picked without replacement from ooojobroboorooow?
1/6
What is prob of picking 2 i when two letters picked without replacement from kirrirriirrkk?
1/13
What is prob of picking 2 f, 1 e, and 1 u when four letters picked without replacement from {f: 6, u: 6, g: 1, e: 1, b: 5}?
15/646
Three letters picked without replacement from fdjtcdjjfjfjq. What is prob of picking 1 c, 1 d, and 1 t?
1/143
Four letters picked without replacement from {r: 5, i: 9}. Give prob of picking 3 i and 1 r.
60/143
What is prob of picking 1 i and 1 d when two letters picked without replacement from {d: 1, t: 2, c: 1, i: 1, w: 1, f: 1}?
1/21
Two letters picked without replacement from {m: 1, j: 3, k: 3, d: 6, a: 1, i: 4}. Give prob of picking 1 d and 1 i.
8/51
What is prob of picking 3 e when three letters picked without replacement from egee?
1/4
Three letters picked without replacement from nunnxxiixn. Give prob of picking 1 x, 1 i, and 1 n.
1/5
What is prob of picking 4 l when four letters picked without replacement from llltlllltllllt?
30/91
What is prob of picking 4 x when four letters picked without replacement from {x: 6, t: 2, w: 9}?
3/476
What is prob of picking 1 b and 2 c when three letters picked without replacement from cbubuccttbcc?
3/22
Calculate prob of picking 1 c and 1 y when two letters picked without replacement from pcppccyyc.
2/9
Three letters picked without replacement from afrrefesraev. What is prob of picking 1 f, 1 r, and 1 e?
9/110
Four letters picked without replacement from {a: 4, u: 3}. What is prob of picking 1 a and 3 u?
4/35
What is prob of picking 1 r and 1 n when two letters picked without replacement from pphcpneehrhhpehhp?
1/136
Calculate prob of picking 1 a, 1 m, and 2 n when four letters picked without replacement from {n: 3, m: 1, a: 3}.
9/35
Two letters picked without replacement from {n: 1, b: 1, l: 3, u: 2, d: 2, j: 3}. What is prob of picking 1 l and 1 j?
3/22
Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkk.
1
Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {n: 5, c: 4, i: 3}.
3/22
Calculate prob of picking 1 e and 3 x when four letters picked without replacement from xxxxxxxe.
1/2
Three letters picked without replacement from eeeekeeeke. Give prob of picking 3 e.
7/15
What is prob of picking 2 g when two letters picked without replacement from ppppgppppppgpppgpp?
1/51
What is prob of picking 1 q, 1 b, and 1 o when three letters picked without replacement from {b: 1, o: 4, q: 2, d: 2, s: 3}?
2/55
Four letters picked without replacement from {q: 17, j: 3}. Give prob of picking 1 j and 3 q.
8/19
Two letters picked without replacement from {w: 4}. Give prob of picking 2 w.
1
What is prob of picking 3 e when three letters picked without replacement from iiiieieeiiii?
1/220
Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, b: 2, p: 1}.
1/10
Four letters picked without replacement from pzzzpppzpzzzz. What is prob of picking 2 z and 2 p?
56/143
What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 3, y: 5, e: 4}?
5/22
Four letters picked without replacement from {j: 2, o: 1, n: 1, p: 1, y: 1, a: 1}. What is prob of picking 1 j, 1 p, 1 a, and 1 y?
2/35
What is prob of picking 2 j and 1 b when three letters picked without replacement from {b: 1, j: 5, d: 2, u: 7, q: 3, m: 2}?
1/114
Three letters picked without replacement from crlrd. What is prob of picking 1 l and 2 r?
1/10
Four letters picked without replacement from ahhhreaoogre. Give prob of picking 1 o, 2 r, and 1 g.
2/495
Three letters picked without replacement from niiiiniinnninn. What is prob of picking 2 n and 1 i?
21/52
Calculate prob of picking 1 t and 2 g when three letters picked without replacement from {g: 10, t: 3, k: 2, y: 1}.
27/112
Two letters picked without replacement from gnggngg. Give prob of picking 1 n and 1 g.
10/21
What is prob of picking 3 f when three letters picked without replacement from {o: 2, i: 6, f: 10}?
5/34
Four letters picked without replacement from {p: 8, y: 2, i: 8}. Give prob of picking 1 p, 2 i, and 1 y.
112/765
What is prob of picking 1 y and 2 q when three letters picked without replacement from yyyqqkxkqkkkkk?
9/364
Four letters picked without replacement from {x: 11, h: 5}. Give prob of picking 3 x and 1 h.
165/364
Calculate prob of picking 2 r when two letters picked without replacement from {d: 2, o: 1, r: 4, e: 6}.
1/13
Two letters picked without replacement from ccckccccccl. Give prob of picking 1 l and 1 k.
1/55
Four letters picked without replacement from ficiffofffffffofcf. What is prob of picking 1 c, 2 i, and 1 o?
1/765
What is prob of picking 3 z when three letters picked without replacement from wwwwwwyzw?
0
Two letters picked without replacement from qdxlxxvxxvv. What is prob of picking 1 q and 1 d?
1/55
Calculate prob of picking 1 f, 1 w, 1 z, and 1 u when four letters picked without replacement from wwhfhwzuw.
2/63
Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {c: 1, w: 1, y: 5, v: 2}.
5/18
Three letters picked without replacement from dadmdguuuddg. What is prob of picking 1 g, 1 a, and 1 u?
3/110
Calculate prob of picking 4 x when four letters picked without replacement from cxxccccxcccxcccxcxc.
5/1292
Three letters picked without replacement from ccqcq. Give prob of picking 1 c and 2 q.
3/10
What is prob of picking 1 m, 1 p, and 1 v when three letters picked without replacement from mpwvwm?
1/10
Two letters picked without replacement from {g: 3, q: 1, k: 1, p: 2}. What is prob of picking 1 g and 1 q?
1/7
Three letters picked without replacement from {f: 1, u: 1, p: 1, h: 3, c: 1}. Give prob of picking 1 c, 1 h, and 1 u.
3/35
What is prob of picking 2 h and 1 m when three letters picked without replacement from {h: 1, w: 1, o: 1, m: 1, t: 4}?
0
Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {b: 1, d: 3}.
3/4
What is prob of picking 3 h and 1 l when four letters picked without replacement from {l: 9, h:
|
{
"pile_set_name": "DM Mathematics"
}
|
77.764 - 377. Let a = 0.6853 - p. Round a to two dps.
-0.08
Let a = -13352 + 13352.0041095. Round a to four decimal places.
0.0041
Let l = 24596.53 - 24701. Let s = -30.1 - l. Let r = s + -75. What is r rounded to 1 dp?
-0.6
Let w = -164 - -190.6. Let u = 3.6 - w. Let a = 23.0000019 + u. Round a to six decimal places.
0.000002
Let i = -1952875 - -1952861.55863. Let r = i - -13.45. Round r to 4 decimal places.
0.0086
Let u = 2.254310587 + -2.2543. Round u to seven dps.
0.0000106
Let h(u) = -85 + 27*u - 71*u + 0*u - 24*u - 47*u. Let x be h(-12). Round x to the nearest 100.
1300
Let t = -7586759 + 7586868.99957. Let j = -110 + t. Round j to 4 dps.
-0.0004
Let v = 19167.1 - 20349. Round v to the nearest ten.
-1180
Let t = 757.8 + -678. Let j = 15 - t. Round j to the nearest ten.
-60
Let v be 2*-15*((-46)/(-10) - 5). Suppose -v*o - 2064 = 44976. What is o rounded to the nearest 100?
-3900
Let q be (-12309)/(-77) - 16/(-14). Suppose -5*p = 2*i - i - 1373, p + 4*i = 286. Let b = p - q. Round b to the nearest 100.
100
Let r(i) = 7*i + 68. Let b be r(-9). Suppose -b*c = -293414 - 1406586. What is c rounded to the nearest one million?
0
Let r = -24824.000000119 + 24824. Round r to 6 decimal places.
0
Let k = -100788325 - -100788322.96999195. Let n = k - -2.03. What is n rounded to six dps?
-0.000008
Let t = 12.584 + -18.96. Let j = t + 45.506. Let c = 1.63 - j. Round c to zero dps.
-38
Let z be 4*-4*(-4)/32*10. Suppose 69558 - 357558 = z*i. What is i rounded to the nearest one thousand?
-14000
Let i(o) be the first derivative of 4*o**3 - 11*o**2 - 9*o + 13. Let s be i(8). Round s to the nearest ten.
580
Suppose 8 = -3*p - 40. Let c = -13 - p. Suppose -4*h + 5*r = 10359975, c*h + r + 7769995 = 2*r. What is h rounded to the nearest one hundred thousand?
-2600000
Let n = -40 + 6. Let i = n - -33.796. Let s = i + 0.204000637. Round s to 7 dps.
0.0000006
Let q(h) be the first derivative of -3*h**2 - 2080000*h - 54. Let v be q(0). Round v to the nearest 1000000.
-2000000
Let y = -17 - -25. Let h = 11 - y. Suppose 4*v = -3*m - m + 3088, -h*m + 2*v + 2306 = 0. Round m to the nearest 100.
800
Let v = -4890.9999962986 - -4891. What is v rounded to 7 dps?
0.0000037
Let f = 8.2 + -0.2. Let t = -0.015771 + -7.984869. Let g = f + t. What is g rounded to 4 dps?
-0.0006
Let t = 440.1 + -493. Let q = t + 4.4. Round q to the nearest 10.
-50
Let d = 8.321 + -7.98. Let f = d - 0.3211. Round f to 3 dps.
0.02
Let z = -1129.3047 - 1.2953. Let u = z + 1254. What is u rounded to the nearest 10?
120
Let x = 0.046 - -0.864. Let u = 0.91 - x. Let d = u + -0.006. Round d to 3 dps.
-0.006
Let g = 943.25 + -1063. Let n = g + 130. What is n rounded to the nearest integer?
10
Let w(j) = -3*j**2 - 291. Let p be w(0). Let r = -4879 + p. Round r to the nearest one hundred.
-5200
Let m = 0.7162 - -0.0248. Let h = 0.76 - m. Let c = 0 - h. What is c rounded to 2 decimal places?
-0.02
Let z(d) = 613*d + 214. Let g be z(24). What is g rounded to the nearest one thousand?
15000
Suppose 127083000 = 8532*i - 8535*i. Round i to the nearest one million.
-42000000
Let x = -26 - -28. Let k(y) = 3*y - y - 4*y**x + 131251*y**3 + y**2 - 2 + y. Let g be k(2). What is g rounded to the nearest 100000?
1100000
Let r = 430524 - 191401. Let m = 239076.0092 - r. Let i = -47 - m. What is i rounded to 3 dps?
-0.009
Let j = -2.5 + 2.35. Let x = 0.08 - j. Let d = x + -0.057. Round d to 2 decimal places.
0.17
Let b = 381 + -508. Let w = b - -126.086. What is w rounded to one decimal place?
-0.9
Suppose 16 = f + 5*v - 8*v, -17 = -f + 4*v. Suppose -f*c + 68500000 = -3*c. Round c to the nearest one hundred thousand.
6900000
Let g = 2.1242695 - 2.1256. What is g rounded to 5 dps?
-0.00133
Let u(k) = -329*k**2 - 15*k + 9. Let g(a) = -985*a**2 - 44*a + 27. Let n(j) = 6*g(j) - 17*u(j). Let o be n(3). Round o to the nearest one thousand.
-3000
Let z = 32705.874741 + -32706. What is z rounded to four decimal places?
-0.1253
Let q = -4899009497604266 + 4899009458060783.79000193. Let n = q + 39543482. Let b = -0.21 - n. What is b rounded to seven dps?
-0.0000019
Let f = -634.583778343 - -634.022416. Let a = 7.728642067 - f. Let t = a - 8.29. What is t rounded to 7 decimal places?
0.0000044
Let v = 1415.199989181 - 1415.2. What is v rounded to 6 dps?
-0.000011
Let k be (15/(-10))/3*-18. Suppose k*s = 3*s. Suppose -13*t + 21*t - 540000000 = s. What is t rounded to the nearest one million?
68000000
Let y(t) = -t**3 + 5*t**2 - 7*t - 3. Suppose 10 = -4*u + 26. Let z be y(u). Let v be 2004/(-10) - (-6 + (-84)/z). What is v rounded to the nearest 1000?
0
Let c = 6658.04546 + -6657. Let m = -148.01 - -149.06. Let g = m - c. What is g rounded to three dps?
0.005
Let o = 0.48 - -354.52. Let z = o - 354.9714. Round z to 2 dps.
0.03
Let d(v) = 397*v**2 - v - 2. Let k be d(2). Let m = -557 + 574. Suppose -5*t = -m*t + k. What is t rounded to the nearest 10?
130
Suppose -33469830 = 13*r - 7*r. Let y = 2099108 + r. Let t = y + 11579197. Round t to the nearest 1000000.
8000000
Let i = 4907.7 + -5122. Let r = -304 - i. Round r to zero dps.
-90
Let a = 9.3412333 - 9.26123. Let q = a + -0.08. Round q to 7 decimal places.
0.0000033
Let v be (-1092)/(-77) - (-2)/(-11). Let q be (-1851590)/35 + 2 - (-8)/v. Round q to the nearest one thousand.
-53000
Let g = -2.608 - -2.78064. Let s = g - 0.2239. Let f = 0.052 + s. Round f to four dps.
0.0007
Let g = 37.2074 + -66.838. Let p = 29.94 + g. What is p rounded to 2 decimal places?
0.31
Let h = -14.1 - -13.8. Let v = 8.06 + h. What is v rounded to 0 decimal places?
8
Let i = 58 + -83. Let z = i - -24.43. Let d = 0.569981 + z. What is d rounded to five dps?
-0.00002
Let k = -7664804.84 - -7664813.75347561. Let g = k - 8.971273. Let x = g - -0.0578. Round x to seven decimal places.
0.0000026
Let y(g) = 322*g - 47. Let c(a) = a. Let r(o) = -5*c(o) + y(o). Let d be r(21). Round d to the nearest 100.
6600
Let o = -149.475 + 149. Let x = o + 0.4750619. What is x rounded to 5 dps?
0.00006
Let s = -34.23 + 40.1. Let b = s - 3.2. What is b rounded to the nearest integer?
3
Let t = -411.90169 + -1.95391. Let a = -414 - t. Round a to two decimal places.
-0.14
Let d = 4102.142 - -366721.8503. Let p = d + -370722. Let t = p + -102. Round t to three decimal places.
-0.008
Let c = 1829 + -1828.991595. Round c to 3 dps.
0.008
Let t(o) = 55*o**3 + 57*o**2 - 226*o + 24. Let n be t(-28). What is n rounded to the nearest ten thousand?
-1160000
Let o(n) = 5820*n**2 + 132*n + 2340. Let c be o(-20). What is c rounded to the nearest 1000000?
2000000
Suppose 8*h - 10*h + 2 = 0. Suppose -2*f - 2*c = 6, -f + h = 2*c + 2. Let j be (-2 + 5)*(f - -335). Round j to the nearest one hundred.
1000
Let a = 6287.95737 + -6288. What is a rounded to two dps?
-0.04
Let c = -67526 + 67823.23. Round c to the nearest 10.
300
Let y = -4656 - -2659. Round y to the nearest 1000.
-2000
Let i = -942 + 1093.7. Let j = i - 151.6999043. Round j to 6 decimal places.
0.000096
Let m = 154427.4 - 154578.40272. Let n = 151 + m. What is n rounded to three decimal places?
-0.003
Suppose -x - 1 = -2*r + 9, 0 = -x. Suppose -i - 16220 = -4*n, 2*n = r*i - 0*i + 8110. Round n to the nearest 100.
4100
Let n be -9235 - (-13)/1 - 1. Round n to the nearest 100.
-9200
Let a(r) = -r**2 + 18*r - 10. Let u be a(18). Let n be (-218076)/u + (-10)/(-175)*7. Let f = -34208 + n. Round f to the nearest one thousand.
-12000
Suppose -5*m = -40 + 15. Suppose -2*a + 2*q = -8, 2*a - m*q + 1 = 21. Let b be 1525*(-64000)/(4 + a). What is b rounded to the nearest 1000000?
-24000000
Let i = -145.929936 - -134.52989. Let v = i + 11.4. Round v to 5 decimal places.
-0.00005
Suppose 0 = 21*c + 14*c - 2282315. Let m = -11491 - c. Round m to the nearest 10000.
-80000
Let m be (-2 - 4/2)*198505/(-58). What is m rounded to the nearest ten thousand?
10000
Suppose 8*h + 1860 = 12*h. Let t = 59 - h. Round t to the nearest 100.
-400
Let a = 24757.0505 + -24742. What is a rounded to 0 dps?
15
Suppose -l - 105 = -4*l. Suppose t = 1, -n = 5*t - 6 + l. Let a be 1/((-85)/10) + (-2924004)/n. Round a to the nearest 10000.
90000
Let k = -90.1 - -14.1. Let i = k - -82.4. Let n = i - 6.39989. What is n rounded to five dps?
0.00011
Let u(z) = -1 + z - 1 - 3*z + 3*z. Let v be u(5). Suppose -v*h = -14286967
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let q(f) = 15667*f**2 + 16904*f + 11. Let h(u) = 11*m(u) - 4*q(u). Find the second derivative of h(o) wrt o.
-10474
Let x(b) = -261*b**2 + 99*b + 78570. Let r(g) = 26*g**2 - 10*g - 7861. Let v(c) = -21*r(c) - 2*x(c). What is the first derivative of v(q) wrt q?
-48*q + 12
Let s(o) be the second derivative of -3*o**5/10 + 65*o**4/6 + 581*o**2 + 10*o - 89. Differentiate s(t) wrt t.
-18*t**2 + 260*t
Suppose -4*q = -448 + 156. What is the second derivative of -q - 74 - 74*c**2 + 147 + 3*c wrt c?
-148
Let b(v) be the second derivative of -43*v + 0 - 61*v**2 - 41/2*v**3. What is the first derivative of b(m) wrt m?
-123
Find the third derivative of 10*d**2 + 2*d - 2*d**4 - 7*d - 10*d**4 + 13*d**4 - 4*d + 783*d**3 wrt d.
24*d + 4698
Let p(t) = 1296*t**2 + 14*t + 125. Let r(n) = 3887*n**2 + 47*n + 378. Let h(i) = -7*p(i) + 2*r(i). What is the second derivative of h(a) wrt a?
-2596
Let z be (5*(-18)/150)/((-3)/10). What is the third derivative of 2*j**z - 72*j**3 + 769*j - 773*j + 6*j**2 wrt j?
-432
Let w(a) = 485*a - 7041. Let d(s) = s - 22. Let v(t) = d(t) + w(t). What is the first derivative of v(c) wrt c?
486
Let i = 2432 + -457. Find the second derivative of -118*v**2 - 1975 + i + 145*v wrt v.
-236
Let i(r) be the second derivative of -644*r**3/3 + 4279*r**2 - 5*r + 14. Differentiate i(x) wrt x.
-1288
Let u(s) = 16*s - 45. Let j be u(6). Suppose 0 = -30*h + 29*h + j. What is the third derivative of h*q - 51*q - 7*q**2 + 19*q**6 wrt q?
2280*q**3
What is the third derivative of 23116*l**3 - 22742*l**3 + 4*l**2 - 5*l - 7*l**2 - 8*l**2 wrt l?
2244
Let q(f) be the second derivative of -f**2 + 0*f**4 - 1/3*f**3 - 184*f + 0 + 13/5*f**5. What is the second derivative of q(d) wrt d?
312*d
Suppose -2*y - 5*v = -286381, -5*y + 8*v + 715921 = 10*v. Find the second derivative of -143183*q**3 + 191*q**4 + y*q**3 - 121*q wrt q.
2292*q**2
Let c(h) be the first derivative of 6337*h**5/5 + 2234*h**3 - 4741. Find the third derivative of c(t) wrt t.
152088*t
Let o be (-1)/(-4) + 1199/436. Let d = 26 + -9. Find the third derivative of 13*m**2 - d*m**5 + 4*m**4 - 4*m**4 + o*m**5 wrt m.
-840*m**2
Suppose l - 6*l + 56 = 4*q, -2*l - 27 = -q. Let a = q + 21. Find the third derivative of 45*f**2 - 94*f**2 + a*f**2 + 5*f**3 + 5*f**3 wrt f.
60
Let p(x) = 2223*x**3 + 1363*x**2 + 6*x - 3. Let q(t) = t**3 + 2*t**2 + 2*t - 1. Let j(i) = p(i) - 3*q(i). Find the third derivative of j(r) wrt r.
13320
Let u(a) be the second derivative of -27/2*a**2 - 127/20*a**5 + 0*a**3 - 5 - a + 0*a**4. What is the first derivative of u(s) wrt s?
-381*s**2
Let w(d) be the third derivative of -299*d**8/336 + d**7/105 + d**6/24 + 7*d**5/60 + d**4/24 - 4*d**3 + 2910*d**2. Find the third derivative of w(s) wrt s.
-17940*s**2 + 48*s + 30
Let g be 2/6 + 1416/(-36). Let o be (806/g)/((-1)/(-3) + -1). What is the second derivative of o*y - 2 + 2 - 38*y**2 - 54*y wrt y?
-76
Let y(k) be the second derivative of 7/6*k**3 + 56 + 2*k - 1/4*k**4 + 32*k**2. What is the first derivative of y(q) wrt q?
-6*q + 7
Let q = 42 + -42. Suppose k + k = q. Find the third derivative of 5*d**6 - 2*d**2 - 2*d**6 + 2*d**6 + k*d**2 wrt d.
600*d**3
Let j(n) = n + 13. Suppose 0*t + 20 = -4*h - 2*t, -5*t = -3*h - 15. Let x be j(h). Find the second derivative of -5*d**5 + 7*d + x*d - d**5 - 8*d**5 wrt d.
-280*d**3
Let r(y) be the second derivative of -517*y**7/42 + 4567*y**4/12 + 2099*y. Find the third derivative of r(j) wrt j.
-31020*j**2
Let l = -278 + 278. Find the third derivative of l*h**2 + 4*h**2 + 5*h**3 - 122*h - 8*h**2 + 124*h - 11*h**2 wrt h.
30
What is the second derivative of 13*s - 134193 - 35*s - 1613*s**2 + 134191 wrt s?
-3226
Let y(i) = 10*i**2 + 13607*i - 5349. Let f(t) = 6*t**2 + 6804*t - 2674. Let a(j) = 7*f(j) - 4*y(j). Differentiate a(v) wrt v.
4*v - 6800
Let q(c) = 15*c - 8. Let z(i) = 8*i - 5. Let s = 311 + -313. Let o(h) = s*q(h) + 5*z(h). What is the derivative of o(y) wrt y?
10
Let a(j) = 2*j**3 + 3*j**2 - 4*j - 10. Let c be a(-2). Let d = c - -15. What is the third derivative of -15*n**5 - 5*n**2 - 22*n**5 + 13*n**5 - d*n**2 wrt n?
-1440*n**2
Let o be 2/(30/105) + -5. Let a(j) be the second derivative of 0*j**o - 1/3*j**3 + 0 - 4/3*j**4 - 10*j. Find the second derivative of a(r) wrt r.
-32
Let a = 1315 + 1748. What is the third derivative of -7*m**2 - 1523*m**4 - 4*m**3 - 1530*m**4 + a*m**4 wrt m?
240*m - 24
Let j = 59 - 1. Let d = -53 + j. Find the third derivative of 5*k**2 + 6*k**6 + d*k**6 + 11*k**2 + k**2 wrt k.
1320*k**3
Let v(q) = -787*q - 1092. Let a(h) = -783*h - 1091. Let s(k) = 4*a(k) - 5*v(k). Differentiate s(o) with respect to o.
803
Let w(h) = -657*h**3 + 2103*h**2 - 9*h - 3. Let q(c) = 655*c**3 - 2104*c**2 + 6*c + 2. Let i(t) = -3*q(t) - 2*w(t). Find the third derivative of i(z) wrt z.
-3906
Suppose p + 4*i = -i + 133, 2*i = -3*p + 399. Differentiate -138*b**2 - p*b**2 + 267*b**2 - 21 wrt b.
-8*b
Find the first derivative of -786*m**4 - 182*m**4 - 915*m**4 - 292*m**4 + 4778 wrt m.
-8700*m**3
Let q(o) = -2*o**3 - 4. Let w(i) = 5778*i**3 + 2*i**2 - 79*i + 13. Let n(a) = -2*q(a) + w(a). What is the third derivative of n(x) wrt x?
34692
What is the third derivative of -149*x**3 + 81*x**2 + 125*x**2 + 49*x**2 + 721*x**2 - 289*x**3 wrt x?
-2628
Let d(o) = o**3 + 4*o**2 - 2*o + 3. Let p be d(0). Find the second derivative of -20*j**p + 5*j**3 + 70*j + 0*j**4 + j**4 - 33*j wrt j.
12*j**2 - 90*j
What is the second derivative of -123*g**3 - 15*g + 6*g + 53*g**3 + 3*g**2 - 93*g**3 + 60 wrt g?
-978*g + 6
Let j(i) = -2*i**2 + 8*i - 2. Let v be j(3). Differentiate -11*s**4 + 25*s**3 - 25*s**3 + 3*s**v + 53 + 2*s with respect to s.
-32*s**3 + 2
Let f = -516 + 585. What is the first derivative of -f*t - 52735 + 52866 - 12*t wrt t?
-81
Suppose 4*f - 409 = -4*m + 415, 0 = -5*f + 5*m + 990. Find the second derivative of 166*c + 22*c**3 + 21*c**3 - 2*c**2 - f*c wrt c.
258*c - 4
Suppose -4*x = -3*l - 1, 7*x - 5*l = 2*x. Let m be x/1 + 1 + 2. What is the third derivative of -39*v**2 + 1 + 35*v**2 - 1 - m*v**4 wrt v?
-96*v
Let n(a) be the second derivative of -72*a + 0*a**3 - 61/4*a**4 + 0*a**2 + 253/20*a**5 + 0. What is the third derivative of n(b) wrt b?
1518
Find the third derivative of -184*u**3 - 302*u**3 - 103 + 138*u**3 - u**2 - 36 wrt u.
-2088
Let h(c) be the third derivative of 93*c**7/5 + 1135*c**3/2 - 2*c**2 + 4535. Find the first derivative of h(f) wrt f.
15624*f**3
Let r(g) = 107 + 45*g - 26*g - 19*g - 12*g - 17*g. Let c(o) = 2. Let d(y) = -4*c(y) - r(y). What is the first derivative of d(p) wrt p?
29
Suppose -5*o = -287 + 272. What is the derivative of -46*f**2 - 33*f**2 + 2*f**o + 27*f**2 + 1 + 2 wrt f?
6*f**2 - 104*f
Let l(g) = -120*g**3 + 3*g**2 - 4. Let f(z) = -4*z**2 + z**3 + 1 - 6 + 3*z**2 + 4. Let t(b) = 4*f(b) - l(b). Find the third derivative of t(o) wrt o.
744
Let w(q) = -3*q + 32. Let l be w(10). What is the first derivative of -2 + 2 - 10*v**2 - l + 31*v + 9*v**2 wrt v?
-2*v + 31
Let p(w) be the first derivative of 2069*w**2 + 3873*w + 4410. Find the first derivative of p(c) wrt c.
4138
What is the third derivative of 1091*f**5 - 173*f**2 - 688 + 683 + 1181*f**5 + 0*f**3 + 2*f + 0*f**3 wrt f?
136320*f**2
Let v = 29 - 33. Let c be (v/3)/4 + 96/18. Differentiate c - 2 - 4*g**3 - 15*g**3 with respect to g.
-57*g**2
Let c(a) be the first derivative of 98 + 29*a - 4*a**4 + 2/3*a**3 - a**2. What is the second derivative of c(o) wrt o?
-96*o + 4
What is the second derivative of -138*s + 73*s + 56 - 52 - 1023*s**4 wrt s?
-12276*s**2
Suppose 0 = -3*d - n + 72, 3*d + 5*n - 25 = 47. Let l be (d/18)/(2/51). Find the second derivative of 92 + l*o - 36*o**3 - 92 wrt o.
-216*o
Let f(w) be the third derivative of -1257*w**4/4 - 805*w**3/2 + 5*w**2 + 928*w. Find the first derivative of f(h) wrt h.
-7542
Let f(t) be the third derivative of -125*t**9/504 + 821*t**5/60 - 10*t**2 + 30*t + 2. Find the third derivative of f(k) wrt k.
-15000*k**3
Suppose 0 = -4*i, -b + i = 20 - 22. Find the second derivative of -3*l + b*l - 3*l + 15*l + 40*l - 221*l**4 wrt l.
-2652*l**2
Suppose -31 = -5*h - 6. Let f(u) = -h - 6 - 1 - 3*u. Let i(x) = 65*x + 265. Let t(z) = 45*f(z) + 2*i(z). Differentiate t(o) wrt o.
-5
Find the first derivative of 61*u - 37544*u**2 + 399*u + 560 + 37536*u**2 wrt u.
-16*u + 460
Let j(x) be
|
{
"pile_set_name": "DM Mathematics"
}
|
*r, 7*r = 4*t + 5*r - 298. Calculate the highest common divisor of 16 and t.
8
Let j(p) = p**2 + 251*p - 4553. Let a be j(17). Suppose -2*t = -7*t + 75. Calculate the greatest common factor of t and a.
3
Let x be (-10)/(4/(-42)*1). Suppose 4*v + 2*a - 83 - 5 = 0, 29 = v + 4*a. What is the highest common factor of x and v?
21
Let x be 16 + -3 + -8 - (-1385 + 4). What is the greatest common factor of 28 and x?
14
Let w = -576 + 696. Calculate the highest common factor of 45 and w.
15
Suppose -9*k = -0*k. Let u(o) = 2*o**3 - o**2 + 40. Let y be u(k). Calculate the greatest common divisor of 140 and y.
20
Let l be (-26)/(1/(-2)*52/195). Calculate the greatest common factor of 39 and l.
39
Suppose 97 = 5*q - 8. Suppose -630 = 396*p - 402*p. Calculate the greatest common factor of q and p.
21
Suppose 3*w - i = 83 + 147, -2*w + 2*i + 148 = 0. Calculate the greatest common divisor of 130 and w.
26
Let r(l) = -195*l + 1360. Let x be r(6). Calculate the highest common factor of 2375 and x.
95
Suppose 5*t - 625 = -5*d, -d - 299 - 176 = -4*t. Let p = 98 - 83. What is the greatest common factor of t and p?
15
Suppose -45 = -6*c - 15. Suppose -2*d - 17 = -4*b + 3, c*b = -5*d + 55. Calculate the greatest common divisor of 28 and b.
7
Suppose 5*p + 2*n - 1021 = 1396, 5*n + 961 = 2*p. Calculate the highest common divisor of 345 and p.
69
Let a be 6/(-2 - -5) + 54. Let r = a + -31. What is the highest common factor of 175 and r?
25
Let d = 22 + -11. Let v = 18 - 16. Suppose -t - 2 = 0, -3*y - v*t + 371 = -6*t. What is the highest common divisor of d and y?
11
Let m(r) = r**3 - 2*r**2 + r + 42. Let u be m(0). Calculate the highest common factor of 6 and u.
6
Suppose d + 0*d = g - 31, d + 5 = 0. Let m = -72 + 102. Suppose g*p - m = 21*p. Calculate the greatest common divisor of 42 and p.
6
Let u be (-2)/13 + 6/39. Suppose 2*d - 622 = -u*d. Suppose 0 = -3*f + 9, -3*f = -4*c + d. Calculate the greatest common factor of 16 and c.
16
Suppose 0 = 4*y + 3*k - 361, -7*y - 5*k + 450 = -2*y. Calculate the highest common factor of 7 and y.
7
Let g be (-382)/(-8) - (-4)/16. Suppose -q - q = -g. Let t(f) = f**2 - 4*f + 4. Let j be t(6). Calculate the highest common divisor of q and j.
8
Suppose -5*k - 44 = -2*o, -3*k - 5 + 53 = 5*o. Let v(i) = i + 14. Let z be v(o). Let u be ((-10)/4)/((-13)/z). Calculate the highest common factor of 55 and u.
5
Let t(r) = 2*r + 16. Let f be t(-7). Suppose -4*y + 348 = 2*i, i + 0 = -f. Let o be (-5)/(-2*2/y). Calculate the highest common factor of 10 and o.
10
Let m be (4 - 6) + (1*78)/(-1). Let c = m + 272. What is the greatest common divisor of 24 and c?
24
Let t(z) = 9*z - 1. Let u be t(3). Let x(s) = -s + 15. Let a be x(12). Suppose -2574 = -8*r - a*r. What is the greatest common factor of u and r?
26
Suppose 2*v - 3 = v. Suppose 4*w - 25 = -y, -3*y + 77 = v*w + 20. What is the highest common factor of 187 and y?
17
Let y = 621 - 373. What is the highest common factor of y and 8?
8
Suppose 5*i - 5*r + 8 - 3 = 0, 2*i + 4*r + 8 = 0. Let n be -1*22/i + -3. Let l be ((-10)/15)/((-1)/30). What is the highest common divisor of l and n?
4
Let w be ((170/4)/(-5))/((-2)/84). Calculate the highest common divisor of w and 408.
51
Suppose 145 + 244 = 19*d + 180. Suppose 2*h = -3*h - 2*y + 613, 2*h = -2*y + 250. Calculate the greatest common divisor of h and d.
11
Let c = -235 - -256. Calculate the greatest common factor of 987 and c.
21
Let s = 25 + -50. Let m be (-49)/(-2) + (-4)/(-8). Let f = m - s. What is the greatest common factor of 10 and f?
10
Let w = -367 + 94. Let l = w + 436. Let r be l/3 - 8/(-12). What is the greatest common divisor of 22 and r?
11
Let d(p) = 12*p - 166. Let o be d(14). What is the greatest common divisor of o and 30?
2
Let d(x) = 5*x**2 - x - 6. Suppose -4*l - 3*k + 15 = -1, 9 = -l - 4*k. Let j = -9 + l. Let c be d(j). Calculate the greatest common factor of 80 and c.
16
Let p be 6/(-8)*6/9*-10. Calculate the highest common divisor of 25 and p.
5
Let k = 9 - 9. Suppose 2*v - g - 9 = k, -g = -v - 0*g + 4. Let h be 13 + v/((-10)/6). Calculate the highest common factor of h and 30.
10
Suppose -483 = -27*v + 20*v. What is the highest common factor of 3 and v?
3
Let w(a) = -a**2 - 18*a + 10. Let t be w(-13). Suppose -2*x = 2*h - 3*h + 36, -3*x - t = -2*h. What is the greatest common divisor of h and 6?
6
Suppose -4*z + 3*h = -0*h + 98, 4*h = -3*z - 86. Let v = -11 - z. Let i = -746 - -821. Calculate the highest common factor of i and v.
15
Suppose 10*p - 3605 = -85. Calculate the highest common factor of p and 11.
11
Let h = 1133 + -1049. Calculate the highest common factor of h and 308.
28
Let i be 9 + (1/4)/(7/(-28)). Suppose -2*j + i = 0, -l + j = 4*l - 426. What is the greatest common divisor of 43 and l?
43
Let x be (-2)/(-8) - (-162)/24. Suppose 2*z = -5*m + 282, 3*m - 2*z - 38 = 128. What is the greatest common divisor of x and m?
7
Let d = 1241 + -1231. What is the greatest common divisor of 545 and d?
5
Let h = 96 + -91. Suppose h*x - 3*x - 4*i = 40, 4*x = -5*i + 28. What is the greatest common factor of x and 6?
6
Let d(u) = u**2 - 9*u + 10. Let t be d(8). Suppose 2600 = 7*x - t*x. Suppose -7*l = -12*l + x. Calculate the highest common factor of l and 13.
13
Suppose -5*a + 109 = t - 291, 5*a - 2*t - 385 = 0. Suppose a = 4*l + 23. What is the highest common divisor of l and 140?
14
Let s(h) = -h**3 + 7*h**2 + 6*h - 33. Let n be s(7). Calculate the greatest common divisor of n and 333.
9
Suppose 185 = 8*y - 55. What is the highest common factor of 1350 and y?
30
Suppose 2*v + 51 = -3*k + 274, -k + 3*v = -78. What is the greatest common factor of 125 and k?
25
Let z be 26/6 - 78/234. Let s(o) = o**2 + 2*o - 5. Let v be ((-10)/(-2))/(-3 - -2). Let j be s(v). What is the highest common divisor of z and j?
2
Let x be (-9)/(-72) - (78/(-16) + 1). Let m(s) = -2*s - 2. Let t be m(-15). Calculate the highest common divisor of x and t.
4
Suppose 0 = 5*z - 3*h + 4*h - 725, 2*h = 0. Let l = z - 33. Calculate the highest common divisor of l and 14.
14
Let v(w) = 2*w**3 - 2*w**2 - 6*w + 5. Let p be v(3). Suppose 4*b + p = 87. Calculate the highest common factor of 24 and b.
8
Let l be (-1069)/((-3)/(-6) + -1). Suppose -1421 = -2*t + r, -2*t - t + l = 5*r. Suppose -5*d = -t - 9. What is the highest common factor of d and 16?
16
Suppose -2*u - d = -35, -4*u = 3*d - 76 + 9. What is the greatest common factor of 133 and u?
19
Let h(r) = -8*r**2 + r + 3. Let t(j) = 9*j**2 - 3. Let z(s) = -6*h(s) - 4*t(s). Let n be z(-1). Calculate the highest common divisor of 132 and n.
12
Let t = 14 + 0. Let k = t - 9. Suppose 0 = 3*w - 5*r + 22, -2*w - 13 = -2*r - k. What is the greatest common divisor of 2 and w?
1
Let x be ((-6192)/301)/((-3)/70). What is the highest common factor of 15 and x?
15
Let t be 4/(-5) + -16494*1/(-30). What is the highest common divisor of 9 and t?
9
Let c(g) = 2*g**3 + 19*g**2 - 18*g - 4. Let n be c(-10). Calculate the greatest common divisor of n and 36.
4
Suppose -5*z = -79 - 1651. Let k = z + -186. What is the highest common divisor of k and 64?
32
Suppose 8 + 27 = -5*q. Let l = -3 - q. Let p = 16 + 4. Calculate the highest common divisor of l and p.
4
Let j(o) = 33*o**2 - 1. Let v be j(1). Suppose 28 = -4*m, -60*y = -62*y - m + 41. What is the greatest common factor of v and y?
8
Suppose -4*m + 12 = 2*m. Let g be (-1)/2 - (-15)/2. Suppose 0*t - 5*f + g = -t, -f = -m. Calculate the highest common divisor of 6 and t.
3
Suppose -3*v - 4 = q - 24, 0 = -4*v + 3*q + 44. Let h = 0 - -2. Suppose -h*j + 120 = j. Calculate the highest common factor of j and v.
8
Suppose -i + 72 = 2*g, -2*g - 5*i + 3*i + 72 = 0. Let f be (-119)/(-9) - 8/g. What is the highest common factor of f and 91?
13
Let x = -2016 + 3385. What is the highest common divisor of 37 and x?
37
Let o = 60 - 101. Let w = -25 - o. Let a be 5/(-15) + (-13)/(-3). Calculate the greatest common divisor of a and w.
4
Suppose 9*p = -0*p + 576. Let v(j) = 2*j + 8. Let z be v(4). What is the greatest common factor of z and p?
16
Suppose -70 = -5*k - 5*b, -17*k + 28 = -15*k - b. Calculate the highest common factor of 1162 and k.
14
Suppose -152 = -4*w + 100. Let p = w - 25. What is the highest common factor of 95 and p?
19
Suppose d + 14 = -4*h - 26, -59 = 2*d + h
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -4*l - 2*r = 2*r - 88, -l + 5*r + m = 0. Solve 0 = 3*t + 2*t - l for t.
4
Let s = 0 + 9. Suppose -3 = s*x - 10*x. Solve -4*b + 1 = -x for b.
1
Suppose -5*h - 44 = -16*h. Solve 2*b - 6 = h for b.
5
Let x(f) = 3*f - 2. Let s be x(2). Suppose 4*t + 2*q + 14 = 0, -9 = -3*t + s*q - 36. Let b = 10 + t. Solve 7 + 3 = -b*c for c.
-2
Suppose -3*c - 46 = 2. Let n = -16 - c. Solve n*p - 10 = 2*p for p.
-5
Let o(t) = -2*t - 16. Let b be o(-8). Solve -x + b*x = -5 for x.
5
Suppose -25 = 4*v - 9*v. Let o be 2/(3/15 + 0). Let h = 15 - o. Solve h = v*m - 5 for m.
2
Suppose -4*b - 9 = 11. Let n(f) = -f**3 - 3*f**2 + 4*f + 6. Let u be n(b). Let i be 100/u - 4/(-18). Solve a = 4*a + i for a.
-1
Let b(w) = -4*w + 4*w + 5*w + 4 + w**2 + w**2. Let j be b(-2). Solve 2*i = j - 0 for i.
1
Suppose -2*i = -7*i - 8*i. Suppose x - 14 = -x. Solve i = -3*d - x - 8 for d.
-5
Let f(v) = -v**2 - 7*v - 6. Let r be f(-4). Let u be 1/r - (-62)/(-12). Let t be u/(-25) + (-1)/5. Solve t = -2*k - 4 + 2 for k.
-1
Let l(b) be the first derivative of b**3/3 - 4*b**2 + b - 1. Let h be l(8). Suppose 3*j + h = 10. Solve -n - 4 = j*n for n.
-1
Let f(z) = z**2 - 4*z + 3. Let b be f(7). Suppose -4*h + 2*v + 12 = v, 5*h + v - b = 0. Suppose 2 = -0*g + 2*g. Solve -g = -3*u + h*u for u.
-1
Suppose -2*m + 3*m - 4 = 0. Solve -f = -m - 1 for f.
5
Let g = 88 - 85. Solve -5 = -4*v + g*v for v.
5
Suppose 5*r = 3*c + 6, c + 4*r = 6*c + 10. Let s = c - -8. Suppose 0 = l + 1, -2*g + l + 6 = -l. Solve -g*f + s = f for f.
2
Let r = -6 + 10. Let h = 61 - 88. Let u be 3*6/h*-3. Solve 0 = -u*t + r - 14 for t.
-5
Let j(g) = -g + 4. Let m be j(0). Let i = -2 + m. Suppose u + i*u = 2*w + 22, -3*u - 3*w - 3 = 0. Solve 2 = 2*a - u for a.
3
Let x(m) = m**3 + 2*m**2 + 2*m + 1. Let n be x(-1). Suppose 4*r - r - 6 = n. Solve -r*s + 1 = 7 for s.
-3
Suppose 0 = d - 6 - 1. Solve 2*t - 1 = d for t.
4
Suppose -2*v - 5 = -37. Solve -t = 3*t - v for t.
4
Suppose -1 = -y + 4. Suppose -w - 11 = -2*i, -w = 4*w + y. Suppose 5*z - 75 = -i*o, 0 = -2*z + 3*o + 2*o + 37. Solve 0*k = -4*k + z for k.
4
Let x(j) = -5 - 6 + 2 + 4 + j. Let f be x(7). Solve -f*u - 3*u = 25 for u.
-5
Let x(z) = -z**3 - 19*z**2 + z + 22. Let j be x(-19). Solve -j*y - y = 0 for y.
0
Let y(f) = f. Let d be y(2). Solve -6*w = -d*w + 16 for w.
-4
Let l(y) = -y + 9. Let q be l(7). Solve -q*k = 2*k for k.
0
Let p be 84/20 - (-1)/(-5). Suppose -j - 3*n + p = n, 0 = 5*n + 5. Let b be (j/(-5))/(4/(-30)). Solve 0 = -4*a - 4 - b for a.
-4
Suppose 0 = 7*d - 9*d + 26. Solve 5*i = -7 - d for i.
-4
Let n(c) = -c - 2. Let u be n(-4). Suppose -l + 15 = u*l. Let v be (105/(-6))/l*-4. Solve 5*p = -6 - v for p.
-4
Let r be -3 + (-1 - 0) + 3. Let k be -2 + r - (-3 - 8). Solve -2 + k = 2*y for y.
3
Let o(d) = -d**3 + 12*d**2 + 12*d + 15. Let y be o(13). Solve -3*s = -y*s + 1 for s.
-1
Let v be 6*(-3)/(-9)*2. Solve -2*k + v = 2 for k.
1
Let q(h) = 2*h - 13. Let n be q(8). Solve 8 = -n*r - 4 for r.
-4
Suppose 2*s = -3 + 7, -44 = -3*t - s. Let b be 2/9 + (-94)/18. Let w = t + b. Solve 4*a = a + w for a.
3
Suppose 0 = y, -2*y - 60 = 2*d + 3*d. Let a be (-4)/d - 23/(-3). Solve a*c = 3*c + 10 for c.
2
Suppose -t + 7 = 4*k, -4*t - 5*k = 5 - 22. Solve t - 7 = 4*h for h.
-1
Suppose 4*j + 5*u - 1 = j, 4*u = j + 11. Let c be (-6 - (-6 - j))/(-1). Solve 4*y - c = 5 for y.
2
Suppose 4*d + 5*m = 22, d - m = -5*m + 11. Let v = 2 + -2. Suppose -5*j = 3*h - 19, -2*h + v*h - j + 8 = 0. Solve 2*k = h*k - d for k.
3
Suppose 0 = -2*r + 6*r. Suppose 7 = -v + 3. Let f be 3/(-6)*(-2 + v). Solve n - f*n + 2 = r for n.
1
Suppose q = -2*p + 20, 0 = -4*p - 0*p + 4*q + 16. Let a(y) = 4*y + 8. Let u be a(-7). Let g = u - -37. Solve g + p = 5*k for k.
5
Let o = 8 + -6. Suppose -f = 3*h - 5*h - 8, 2*f - h = 7. Solve 4 = f*y - o for y.
3
Let w be (3/(-4))/((-9)/36). Solve 1 = w*c - 2*c for c.
1
Suppose -2*m - 20 = -7*m. Solve m*w = -16 + 4 for w.
-3
Let c(w) = 3*w**2 + w + 2. Let y be c(-1). Solve 2*m - y + 0 = 0 for m.
2
Let b(s) = -4*s**2 - 4*s. Let a be b(-3). Let z be (-6)/10 - a/15. Solve -2*q - 9 + z = 0 for q.
-4
Let b be 1 - 1/(3/(-3)). Let q be 4 - (-3 + b) - 2. Solve 2*m + 5 = q for m.
-1
Suppose -5 = -4*q + 27. Solve 0 = -10*t + q*t - 2 for t.
-1
Let q(h) = -h + 3. Let z(a) = a - 4. Let n(d) = 3*q(d) + 2*z(d). Let t be n(1). Suppose t*v + 8 = 4*v. Solve -v = -2*f + 8 for f.
5
Suppose -30 = -v - 5*v. Solve -v + 0 = -m for m.
5
Let j(i) = i**2 - 12*i + 22. Let d be j(10). Solve -a - 3 = d*a for a.
-1
Let d(r) = -r**2 + 4*r + 5. Let u be d(4). Suppose -40 = -3*y - u*q, 2*q + 16 = 5*y + 1. Solve 3*f + 11 = y for f.
-2
Suppose -5*o - 24 = 1. Let j = 7 + o. Suppose -3*x - p - 5 = 0, 15 = -4*x - 5*p - 10. Solve -j*n + x*n - 6 = 0 for n.
-3
Suppose 7*n + 40 = 2*n. Let i be -2 + 4 - (7 + 1). Let z = i - n. Solve -v - z = -2*v for v.
2
Let p = 9 - 4. Let r(z) = -2*z + 1. Let n be r(-6). Suppose p*q + 3*j = 30, -j - 11 = -4*q + n. Solve -3*x = -x - q for x.
3
Let q = 6 - 4. Suppose 0 = -5*t - 2*c, -25 = -c - 4*c. Let y = 4 + t. Solve 0 = y*o + q*o for o.
0
Let a = -1 + 1. Let z(s) = -s**3 - 3*s**2 - s - 5. Let p be z(5). Let m be p/(-51) - (-2)/(-17). Solve m*q - 13 - 7 = a for q.
5
Suppose 0 = -6*n + 3*n. Suppose -g = 5*d + 2 + 1, 0 = 2*g - 4*d + 6. Let j be (g - n)*1/(-3). Solve -c + 2 = j for c.
1
Let p(a) = 3*a**2 + 2*a - 2. Let s be p(-2). Suppose -s = 5*r - 31. Solve k + r = 6*k for k.
1
Let a = 14 - 11. Solve a*j = -j for j.
0
Suppose -h - 7*w + 12 = -3*w, -w + 3 = -3*h. Let p = 14 - -1. Solve -5*f = -h*f + p for f.
-3
Let p(a) = -a**3 - 11*a**2 + 11*a - 7. Let v be p(-12). Let g be (-1)/(10/(-6) - -2). Let h = g + v. Solve 0 = -h*d - d for d.
0
Suppose m = 4, 0*m - 12 = 2*i - 4*m. Let y = i - -2. Solve y = 2*j - 4 for j.
4
Let q = -27 + 25. Let i be (-1 - q)*(-2 + 2). Solve 5*x + 1 - 16 = i for x.
3
Suppose 0*g - 4*g = -16. Suppose 0 = -m + g*m. Solve m*o - 2 = -o for o.
2
Let o be 3/18 + (-13)/6. Let a(v) = -v**3 + 3*v + 1. Let i be a(o). Suppose 0*b + 5*b + 1 = -u, 0 = -2*u - 5*b + 8. Solve 6 + u = i*t for t.
5
Let f(h) = -2*h + 3*h**3 + 0*h**3 - 1 + 3*h + h**3. Let c be f(1). Solve c - 8 = 2*k for k.
-2
Let y(p) = -p**3 + 4*p**2 + 2*p - 4. Let m be y(2). Solve -3*o = -5*o - m for o.
-4
Let w(o) = -2*o**2 - 17*o - 25. Let d be w(-6). Solve 0 = 4*t - d*t + 3 for t.
3
Suppose -4 = -5*m + m. Solve 0 = -2*d - m - 3 for d.
-2
Let q(w) = 0*w - w**2 + 2*w - 5 + 2*w + 11. Let c be q(5). Suppose -n + 2 = c. Solve 0 = 5*l + 11 - n for l.
-2
Let b(v) = v - 5. Let y be b(4). Let u be (y*16 + 2)*-2. Let n = 29 - 21. Solve n - u = -5*p for p.
4
Let q = -201 + 204. Solve -5 = 2*a + q*a for a.
-1
Let t = 7 + -2. Suppose h + 3*q = -2 + 14, h = 3*q - 6. Solve 0 = t*w - h*w - 4 for w.
2
Suppose -15*b + 18*b = 36. Solve -2*c + 4 = b for c.
-4
Suppose 0*f - 2*f - 4*k - 6 = 0, -4*f = -k - 15. Suppose -48 = -4*p - 4*m, 3*m = f*p - m - 50. Let x be ((-24)/p)/((-3)/21). Solve -5*u = x + 3 for u.
-3
Let n(l) = l**3 + l**2 - l + 1. Let f be n(-2). Let r = f + 4. Let m = 2 + -1. Solve -h + r + m = 0 for h.
4
Suppose 0*w + 3*w = 6*w. Solve w*a = -5*a - 20 for a.
-4
Suppose 14 = 3*z + 2. Suppose -3*i = -z*i. Solve i = 4*o - 19 + 3 for o.
4
Let r(s) = -s**3 - 11*s**2 - 3*s - 8. Let o be r(-11). Solve 5*j - o = -0*j for j.
5
Let m = -74 - -74. Solve -4*u + m*u - 20 = 0 for u.
-5
Let x(h) = -h**2 - 6*h - 2. Let d be x(-4). Let i be ((-9)/d)/((-2)/(-4)). Let j(f) = -f + 2. Let t be j(i). Solve -t*q - 8 = -33 for q.
5
Suppose 12 = -0*s - 3*s. Let f be (-12)/s - 3/3. Solve -f + 4 = -w for w.
-2
Suppose 4 = 3*q + 1. Suppose -4*c - 16 = -0. Let n be -2 - (c + 0 + q). Solve -17 + n = -4*j for j.
4
Suppose -2*p = 5*u - 20, -2*p - 4*u = -u - 20. Solve -13*w = -p*w + 6 for w.
-2
Suppose -w = -0*w - 6. Let s(c) = 2 - 5 + 2*c - 1. Let i be s(3). Solve 2*z + i = -w for z.
-4
Let t(b) = 2*b - 4. Let q be t(3). Let l(p) be the second derivative of p**5/20 - p**4/12 + p**3/6 + 2*p. Let d be l(0). Solve -q*k + 15 - 5 = d for k.
5
Suppose 0 = 13*q - 10*q. Let i(p) = -p**3 + 6*p**2 + 2. Let g be i(6). Solve q*n - g*n = 6 for n.
-3
Let x(n) = -n**2 + 6*n + 10. Let y be x(7). Suppose d - 1 = 1. Suppose -5*p + 40 = -0*l + l, 0 = d*p + 4*l + 2. Solve p = -y*v - 0*v for v.
-3
Let h = -4 + 4. Let k(i) = -i + 5. Let z be k(h). Solve 5*y - z =
|
{
"pile_set_name": "DM Mathematics"
}
|
he prime factors of d(0)?
3, 5, 7
Suppose 0 = -4*b + 2*j + 28, 4*j = -2*b + j - 2. Suppose -b*q + 0 + 20 = 0. Suppose 4*m = -0*t + 2*t - q, -3*m = 3*t - 42. List the prime factors of t.
2, 5
Let v(d) = d**3 - 3*d**2 + 2*d - 5. Let f be (1 + -3)/(-2) + 3. List the prime factors of v(f).
19
Suppose -3*l + 1347 = 5*x, 7*x - 2*l - 1352 = 2*x. Suppose 5*y - x = 5*w, -w = 3*y + w - 187. List the prime factors of y.
59
Let r be 2/6*(-2 + 2). Suppose 0*n - 4*n + 148 = r. Suppose -5*z = -4*s - 110, -3*s - 14 - n = -2*z. What are the prime factors of z?
2, 3
Let m(i) = i**3 + 6*i**2 - 5*i + 10. List the prime factors of m(-6).
2, 5
Let c = -89 - -139. List the prime factors of c.
2, 5
Let u(n) = -n**3 + 13*n**2 + n - 11. Let k be u(13). Let o = -4 - -3. List the prime factors of -2*5*o/k.
5
Let w(x) = -x**2 + 3. What are the prime factors of w(0)?
3
Let s(k) = k**3 - 12*k**2 + 17*k - 14. List the prime factors of s(11).
2, 13
What are the prime factors of 15 + (-1 - (-3 + 1))?
2
Suppose 3*y - y = c - 24, 0 = -3*y - 12. Let n be (-90)/(-8) - 4/c. Let j = n - 0. List the prime factors of j.
11
Let r(a) = a**3 + 14*a**2 - 2*a - 21. What are the prime factors of r(-12)?
3, 97
Let x(d) = -d - 3. Let f be x(-5). Suppose -2*s - f = 2. List the prime factors of (s/4)/((-2)/40).
2, 5
What are the prime factors of (-42)/((-3)/(-4 - -7))?
2, 3, 7
Let z(f) be the second derivative of 5*f**3/3 - 3*f**2/2 + 3*f. What are the prime factors of z(2)?
17
Let w(i) = 4*i**3 - 4*i**2 + 4*i - 2. List the prime factors of w(2).
2, 11
Suppose 4*q + 5*n = 102, 4*q - 5*n = q + 59. What are the prime factors of q?
23
Suppose 0*i + 2*i = 2. Let r be -2 - (0 + i + -2). What are the prime factors of 16 + (-4)/(-3 - r)?
2, 3
Suppose -4*t - 1 = -3*t. Let o = -1 - t. Suppose o = -j - 4 + 16. List the prime factors of j.
2, 3
Let r be 2/8 - 45/(-12). Suppose r*a + 26 = 106. List the prime factors of a.
2, 5
Let d be 1*(0/2 - 1). List the prime factors of 18 + (-5 - -2) - d.
2
Let x(a) = -a**3 - 4*a**2 + 4*a - 4. Let r be (-1 + 6)*(-3 - -2). Let h be x(r). Suppose 0 = 2*y + 3 - h, 4*t - y = 13. List the prime factors of t.
3
Suppose 38 = 2*s + 22. List the prime factors of s.
2
Let j(d) = d**2 + 4*d - 8. What are the prime factors of j(-6)?
2
Suppose 0 = -16*a + 20*a - 180. What are the prime factors of a?
3, 5
Let x(b) = 4*b**3 + 1. Let n = -2 - 0. Let h be x(n). Let g = 52 + h. List the prime factors of g.
3, 7
Suppose 3*l + 2*o - 98 = 0, 0 = -3*l + 5*o + 82 + 30. Let u = l - 13. What are the prime factors of u?
3, 7
Let u(t) be the second derivative of t**4/6 - t**2 + 4*t. List the prime factors of u(4).
2, 3, 5
Let u = 21 - 7. Suppose -4*j = 5*d - 17 - 10, 2*j - 3*d - 19 = 0. Let q = u - j. List the prime factors of q.
2, 3
Suppose -3*f = -2*q - 0*f, -5*q = 4*f. Let y = 13 + q. Let h = y - 9. List the prime factors of h.
2
Suppose 0 - 48 = -3*s. Suppose 2*z = 8 + s. What are the prime factors of z?
2, 3
Suppose -2*c + 2*j = 8, 2*j = c - 0*c + 7. List the prime factors of (1 - 2*3)/c.
5
Suppose -4*f = -2*j - 8 - 106, 3*j - f = -196. Let s = -47 - j. Suppose -q + 4 = z, -2*q + s = 2*q + 2*z. List the prime factors of q.
2, 3
Let i(o) = 21*o**2 - 1. Let b be i(1). Suppose 0 = 5*w + b, -2*l + 4*w = -l - 6. Let r = -3 - l. List the prime factors of r.
7
Let b = 9 - 8. Let q = 15 - b. What are the prime factors of q?
2, 7
Let d(w) = -w**3 + 12*w**2 - 11*w + 6. Let k(n) = -n**2 - 4 + 2*n + 2*n + 4*n. Let x be k(5). List the prime factors of d(x).
2, 3
Let h(y) = -y**3 + 4*y**2 - y - 4. Let a be h(3). Let i be ((-20)/a)/(6/(-3)). Suppose w - 13 = -4*l + l, -13 = 2*l + i*w. List the prime factors of l.
2, 3
Let h(b) = b**2 - 10*b + 13. Suppose 0*x = x - 9. What are the prime factors of h(x)?
2
What are the prime factors of 112/5 - 21/(-35)?
23
Let k(g) = 49*g + 1. Let o be k(-1). Let h = -15 - o. What are the prime factors of h?
3, 11
Suppose -8*h - 4*a = -3*h - 1, 0 = h + a. Suppose -2*y - 2 = -10. Let w = h + y. What are the prime factors of w?
5
Let y(n) be the first derivative of n**3/3 - n**2/2 + 10*n + 2. Let w(p) = p**3 - p**2. Let i be w(1). What are the prime factors of y(i)?
2, 5
Let g be 8*(1 + (-12)/16). Suppose l = -4*l + 40. Let r = l - g. What are the prime factors of r?
2, 3
Let s = -13 + 21. Suppose 0 = -l - 4*f - 11 - 2, 0 = -5*l - f - s. List the prime factors of (-15 + 2)*(0 + l).
13
Let a(n) = 2*n**2 + 5*n + 2. Let s be a(-3). Let y(c) = 5 + 0 + 5*c + 1 + c**3 - 6*c**2. What are the prime factors of y(s)?
2, 3
Let d(f) = 4 - f**2 - f - 6*f + 3*f**2. What are the prime factors of d(4)?
2
Let i be (2/5)/((-3)/(-180)). Suppose 2*c + 2*c - i = -4*u, 3*u = -c + 12. Suppose 0 = u*x - x - 10. What are the prime factors of x?
5
Let m be ((-5)/(-5))/(2/12). Let q be (m/(-15))/(2/(-10)). What are the prime factors of (-15)/q*6/(-5)?
3
What are the prime factors of 2 - -1 - (-2 - 145)?
2, 3, 5
Suppose 0 = -2*i + 4*i - 10. Suppose 0*n + 3*n = -15, 4*q - 37 = i*n. Suppose -q*o = -18 - 12. List the prime factors of o.
2, 5
Let n be (-55)/10 + 1/2. Let k = 5 + n. Suppose 5*o + 3*i = 34, 0 = -k*o + 3*o - 5*i - 34. What are the prime factors of o?
2
What are the prime factors of 2/1 - 819/(-13)?
5, 13
Let a(h) = h + 19. Let s(j) = j**3 + 2. Let k be s(2). List the prime factors of a(k).
29
Suppose 0 = z - 0*k - 2*k + 2, -4*z + 2*k = 2. Suppose z = o + 1 - 9. What are the prime factors of o?
2
List the prime factors of (-6)/((-6)/2) - (5 + -407).
2, 101
List the prime factors of ((-2)/8)/(9/(-1692)).
47
Let c(r) = 2*r**3 - 5*r**2 - 5*r + 5. What are the prime factors of c(4)?
3, 11
Let r be 3*(5/3 - 2). List the prime factors of -5 + 4 + r - -13.
11
Let t(c) = -c**2 + c - 1. Let d(u) = -6*u**2 - u - 3. Let y(n) = -d(n) + 5*t(n). List the prime factors of y(-7).
5
Suppose -4 = -4*m - 40. Let b(a) = 2 + 5*a - a + 4*a + a**2. List the prime factors of b(m).
11
Let d(w) = -w**3 - 2*w**2 + 3*w + 2. Let f be d(-3). Suppose -3*o - 25 = -5*g, -f*g + 47 = 2*g + 3*o. What are the prime factors of g?
2
Suppose -4*j + 185 = j + 2*w, 0 = -3*j - 5*w + 92. List the prime factors of j.
3, 13
Let c be -4*(1 + 22/4). Let z = c + 39. What are the prime factors of z?
13
Suppose -3*x = -2*g - 103, 0 = -3*x + 5*x - 4*g - 82. What are the prime factors of x?
31
Suppose -60 = -4*l - l. Suppose 4*f - 55 = -5*q + l, -f - 8 = -q. List the prime factors of q.
11
Let w(k) = -3*k - 7. Let o be 29/4 + (-6)/24. Let i be (2 - 2 - o)/1. List the prime factors of w(i).
2, 7
Let a(s) be the first derivative of s**3/3 + 3*s**2/2 - 3*s - 3. What are the prime factors of a(-5)?
7
Suppose f = -3*f + 24. Suppose -c = f + 1. Let i(o) = -o + 10. What are the prime factors of i(c)?
17
Let k(f) = f**2 - f + 6. What are the prime factors of k(-5)?
2, 3
Let q be 0 + -1 + 2 + -1. Let x(u) = -2*u + 2. Let p(k) = k - 2. Let d(n) = -3*p(n) - 2*x(n). What are the prime factors of d(q)?
2
Let i(l) = l**2 - 7*l + 14. What are the prime factors of i(6)?
2
Suppose -2*k + 172 = 2*k. Suppose 0 = 4*n + l + k, -2*n + 3*l + 8 = 19. Let a = n + 20. What are the prime factors of a?
2, 5
Suppose -6*i = -2*i + 56. Let z = 5 - i. List the prime factors of z.
19
Suppose -4*q - 4*d - 5 = -45, -q + 15 = 2*d. Suppose -q*b + u + 30 = 0, -5*b - 3*u + 50 = -0*b. What are the prime factors of b?
7
Let o = 4 - 2. Suppose -b + 0 = -o. Suppose 2*g = -v + 10, -b*g + 6 = 3*v - 4*g. What are the prime factors of v?
2
Let z(t) = t**3 - 4*t**2 + 5*t - 4. Let l be z(3). Let p = 13 - l. List the prime factors of p.
11
Let v(t) = 2*t. Let l be v(1). Let m be (-5 + 2)*-1 - l. Let x = m - -1. What are the prime factors of x?
2
Let r(f) = -f - 4. Let p be r(-4). Let b = 3 + p. What are the prime factors of b?
3
Let n(b) = -b**2 - 18*b - 5. List the prime factors of n(-5).
2, 3, 5
Suppose 0 = -4*l + 6 - 2. Let d = 13 + l. What are the prime factors of d?
2, 7
Let j = 8 - 6. Let k be j/(-1) + 1 + -1. List the prime factors of k/5 - (-32)/5.
2, 3
Let n = 215 - 59. Suppose n = -0*o + 6*o. What are the prime factors of o?
2, 13
Let b(w) = w + 1. Let v(q) = -q**3 + q**2 + 8*q + 1. Let k(r) = 4*b(r) - v(r). Let a be k(2). What are the prime factors of (-1)/(a/(-4)*-1)?
2
Let y = -65 + 121. List the prime factors of y.
2, 7
Let k(m) = m**2 - 4. What are the prime factors of k(8)
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Suppose -2*b - 2*b + 12 = -2*m, 5*b - 2*m = 15. Suppose -3*h = 3*s - 144, -b*h = -5*s - 172 + 4. Calculate the highest common divisor of 6 and h.
3
Suppose -3*p = -46*p + 29455. Let c = p + -661. What is the greatest common divisor of c and 64?
8
Let n = 3130 + -3070. Calculate the greatest common divisor of 1740 and n.
60
Suppose 5*a + 3*h = 366, -4*a = 3*h - 4*h - 286. Let m = -53 + a. Calculate the greatest common factor of 95 and m.
19
Suppose 701 + 323 = -4*q. Let g be 1/9*-9*101*4. Let x = q - g. Calculate the greatest common factor of x and 37.
37
Let g(m) = 2*m - 9*m + 3*m + 24 + 2*m. Let u be g(-28). Let b(w) = w**3 - 5*w**2 - 4*w + 4. Let z be b(6). Calculate the highest common divisor of u and z.
16
Suppose 3*f = 4*f - 2. Suppose 2*o - 54 = -5*k, f*o - 24 = -k + 30. Suppose -6*y = -9*y + o. What is the greatest common divisor of y and 54?
9
Let l be (-882)/(-175)*-5*20/(-3). Calculate the highest common divisor of 6720 and l.
168
Let v(a) = 2*a**3 - 118*a**2 + 349*a - 222. Let b be v(56). Let q = 91 + -47. Calculate the highest common factor of q and b.
22
Suppose -14*s - 33 = -35*s + 18*s. What is the greatest common factor of 15521 and s?
11
Let w = -23663 + 34799. Calculate the highest common factor of 64 and w.
64
Let i(t) = 7 - 32 - 25*t + 54*t + 36*t. Let s be i(2). Calculate the greatest common factor of 60 and s.
15
Suppose 86074 + 84011 = 69*n. Calculate the greatest common divisor of 85 and n.
85
Let d = -10 + -14. Let v be d/(((-1)/(-2))/1). Let w = -36 - v. Calculate the highest common factor of w and 36.
12
Suppose 17 = 8*j - 287. Let p be 6232/j + (5 - 1). What is the greatest common factor of p and 48?
24
Suppose 99*a - 12611 = 10555. What is the highest common divisor of a and 3?
3
Suppose -14*d + 13*d + 12 = s, -5*d + 3*s = -60. Suppose d*j + 320 = 5*f + 7*j, 4*j - 284 = -5*f. Calculate the highest common factor of 690 and f.
30
Suppose -5*f - 4*c + 304 = 0, 1551*f = 1554*f + 4*c - 176. Calculate the greatest common divisor of f and 2528.
32
Let t(p) = 14*p**3 - 2*p**2 + 1. Let i be t(1). Suppose 7 = 4*v - i. Let c = 180 - 125. What is the greatest common factor of v and c?
5
Suppose -468 = 5*q - 14*q. Let n(v) = -2*v**2 + 34*v - 26. Let b be n(13). What is the greatest common factor of b and q?
26
Let q(i) = 8*i + 16. Let t be q(0). Suppose 0 = t*f - 12*f - 120. Suppose 114 - f = 14*g. Calculate the highest common divisor of g and 24.
6
Suppose 120*s = -97 + 457. Let j(v) = v - 8. Let n be j(0). Let x = n - -14. Calculate the greatest common factor of x and s.
3
Let a = 7 - 13. Let s(u) be the first derivative of -3*u**2 - 36. Let x be s(a). Calculate the greatest common divisor of 27 and x.
9
Let r be 3*1*6*48/96. Let y be (3/2)/(r/(-84)*-2). Suppose -3*j = -s - y, -2*s = -s - 2. Calculate the greatest common factor of 15 and j.
3
Let f be 4/7*(-5 - 23). Let y(k) = -2*k**2 - 52*k - 26. Let i be y(f). What is the greatest common divisor of i and 28?
14
Suppose -2*k + 16 = -k + 3*c, 3*k + 3*c - 24 = 0. Let r(t) = -9*t**2 - 2. Let z be r(-2). Let y = z - -54. Calculate the greatest common factor of k and y.
4
Let c be (-2)/(-3 + 74/26). Suppose 0 = 5*a - 0*a - 5. Let h(s) = 42*s - 3. Let p be h(a). What is the greatest common divisor of p and c?
13
Suppose 4*p + 0*u = 4*u + 8, -2*u = 4*p - 20. Suppose 5*w + a = 109 + 46, 5*w - p*a = 180. Let i = 39842 + -39746. What is the highest common factor of i and w?
32
Let f(y) = y**3 - 15*y**2 + 11*y + 14. Let l be f(15). Suppose -t - 28 = l. Let q be (-3)/(-7) - t/7. What is the greatest common factor of 45 and q?
15
Let g be (-2)/(0 + (-1)/55). Let f be (22*-1)/((-522)/1827). Calculate the highest common factor of f and g.
11
Let k(c) = -c**3 + 124*c**2 - 3*c - 197. Let w be k(122). What is the greatest common factor of 59 and w?
59
Suppose -5*u + 3*a - 5*a = -15, -4*u + 5*a + 12 = 0. Suppose w - u*y + 294 = 6*w, -4*y - 188 = -3*w. Calculate the greatest common divisor of 60 and w.
60
Let x(n) = n**2 - 5*n - 1. Let l be x(6). Suppose -d - l*q + 286 - 65 = 0, 4*d + 3*q = 799. Let g = -121 + d. What is the highest common factor of 30 and g?
15
Suppose 5*q - 12782 = -1337. What is the greatest common factor of 63 and q?
21
Let t(a) = a**3 + a**2 + 8*a - 6. Let n be t(5). Let u(p) = -3*p**2 - 59*p + 11164. Let w be u(-71). What is the highest common divisor of n and w?
46
Suppose 4*i + 2*l = -0*l + 278, 2*i = -3*l + 149. Let w = i + -119. Let n = w - -66. Calculate the greatest common factor of n and 98.
14
Suppose 901 = 20*i + 781. Let j be (0 + 2 + -1)*21. What is the greatest common divisor of i and j?
3
Let h = -2918 - -3079. What is the greatest common divisor of 20125 and h?
161
Let o be ((-88)/16)/(4/(-48)). Let q = 40 - 7. Calculate the greatest common divisor of o and q.
33
Suppose 4*r = -7*v + 4*v + 23655, 4*v - 31547 = -3*r. What is the greatest common factor of v and 23?
23
Let h be -1 + -1 + (-2940)/(-4 + -2). Calculate the highest common divisor of h and 56.
8
Suppose -90*g + 15587 - 3404 = -13467. Calculate the greatest common factor of 270 and g.
15
Let w be 8369 - (-8 - 2*(3/(-2) - 1)). What is the greatest common factor of 184 and w?
92
Let s be (22/(-5))/((-1)/5). Let j(i) = 1728*i**2 + 3411*i + 9. Let p be j(-2). What is the highest common divisor of s and p?
11
Let m(w) = 4*w**2 - 196*w + 256. Let p be m(48). Calculate the greatest common divisor of p and 784.
16
Let a(v) = 4*v**2 - 155*v - 355. Let p be a(95). What is the highest common divisor of 10 and p?
10
Suppose 2*x - 24 = 4*r + 72, -3*r = 0. Let t(a) = 8*a**3 + 1287*a**2 - 160*a + 221. Let z be t(-161). What is the highest common divisor of x and z?
12
Suppose 118 = c - o, -11*c - o + 572 = -6*c. Suppose -5*p + c = 2*d, 5*d - 2*d - 5*p - 135 = 0. Calculate the highest common factor of d and 25.
25
Let p = -38095 - -38128. What is the highest common divisor of p and 6050?
11
Suppose -124*j - 2*c = -119*j - 655, 3*j = -4*c + 379. What is the greatest common divisor of 49 and j?
7
Let f = -739 - -772. What is the highest common factor of 77 and f?
11
Suppose 3*d = -i + 632, 5*i = 5*d + 4093 - 993. Let x = i + -591. What is the highest common divisor of 24 and x?
8
Let i be (-13 + 690/42 + -6)/((-2)/168). What is the highest common factor of 1896 and i?
24
Let q(y) be the third derivative of -7*y**4/24 - 3*y**3/2 + y**2. Let g = -14 - -12. Let b be q(g). Calculate the greatest common divisor of 25 and b.
5
Let n be (-1)/(3 + -2 + 0) + -3. Let g(q) = -2*q**3 - 3*q**2 - 4*q + 8. Let u be g(n). What is the highest common factor of u and 91?
13
Suppose 2*t + 78 = -77 + 181. What is the highest common factor of t and 1430?
13
Suppose 0 = -6*j + 126 + 792. Let t = 168 - j. Let w be -6*2/((-12)/15). What is the highest common divisor of w and t?
15
Let l be 465*(1/((-8)/8) + 10). What is the greatest common divisor of l and 135?
135
Let k(m) = 4*m**2 - 33*m - 222. Let b be k(-10). Calculate the highest common factor of 32 and b.
4
Suppose -y - 2*o = -255, -2851 = -7*y - 5*o - 1075. Suppose 23 = 5*a - 32. What is the greatest common divisor of a and y?
11
Let h = -29127 - -29403. What is the highest common factor of 69 and h?
69
Suppose -159*b + 49142 - 2396 = 0. What is the greatest common factor of b and 1050?
42
Let l be (-76)/(-20) + 1/5. Suppose 4*o - 8 = -l*g + 380, 2*o = 3*g - 296. Suppose 134 = 23*k - 188. Calculate the highest common divisor of g and k.
14
Let b(r) = 3*r**2 + 5*r + 189. Let p be b(0). Suppose 13*j = 12*j + p. Calculate the greatest common factor of 21 and j.
21
Let p(u) = -u**3 + 7*u**2 + 7. Let s be p(11). Let a = -261 - s. What is the greatest common divisor of a and 48?
24
Suppose -3237 = -17*k + 12*k - 4*r, -2*k + 1281 = -3*r. Calculate the highest common factor of k and 387.
129
Suppose 4*x - 1982 = -2*q - 160, 2*x - 2*q = 908. Suppose 3*p + 2*c - 150 - 117 = 0, -2*p - c + 179 = 0. What is the highest common divisor of x and p?
91
Let j(a) be the first derivative of 51*a**4/4 + a**3/3 - 8*a**2 + 16*a + 285. Let s be j(1). Calculate the greatest common divisor of s and 52.
52
Let n(t) = t**2 - 93*t + 566. Let c be n(89). What is the greatest common factor of c and 450?
30
Suppose -5*c - 530 = -4140. Suppose -b + c = -155. Let t = -624 + b. What is the highest common factor o
|
{
"pile_set_name": "DM Mathematics"
}
|
is the common denominator of 5/304 and 109/1596?
6384
Calculate the common denominator of 79/6568155 and -18/385.
45977085
What is the lowest common multiple of 545 and 34104?
18586680
What is the common denominator of 43/24 and -25/621060288?
621060288
What is the least common multiple of 809655 and 24952095?
274473045
Find the common denominator of -25/102664622 and -3/46364668.
1437304708
Calculate the least common multiple of 107128492 and 43452.
964156428
Find the common denominator of -47/245700 and 86/114075.
3194100
Calculate the least common multiple of 100906355 and 55039830.
605438130
Calculate the smallest common multiple of 128 and 22235920.
177887360
Calculate the lowest common multiple of 135950 and 462230.
2311150
What is the smallest common multiple of 22 and 7726116?
84987276
What is the least common multiple of 6663 and 16860?
37446060
Calculate the lowest common multiple of 23606258 and 21790392.
283275096
Calculate the common denominator of 31/44052688 and 83/534620.
220263440
Calculate the lowest common multiple of 8875698 and 13.
8875698
Find the common denominator of 13/414 and -77/27494085.
164964510
What is the least common multiple of 2543 and 439939?
439939
Calculate the lowest common multiple of 18352 and 169648.
194586256
What is the common denominator of 81/12464 and 67/168264?
336528
What is the smallest common multiple of 3151 and 19090?
2615330
What is the lowest common multiple of 12 and 55313648?
165940944
What is the common denominator of 10/345733947 and -23/76829766?
691467894
What is the lowest common multiple of 1067020 and 620?
1067020
Find the common denominator of 101/53456 and 23/225442456.
5861503856
Find the common denominator of 37/3566904 and -107/301136.
206880432
What is the smallest common multiple of 4851 and 79901745?
1677936645
What is the lowest common multiple of 13264958 and 515144?
53059832
Calculate the common denominator of 17/2793292 and 109/168.
117318264
What is the common denominator of 97/192132 and 101/7206136?
583697016
Calculate the common denominator of 19/8 and 31/324831418.
1299325672
Calculate the least common multiple of 93737708 and 8.
187475416
What is the smallest common multiple of 252 and 133881228?
937168596
What is the least common multiple of 552951 and 90?
5529510
Find the common denominator of 11/2544 and 23/3570928.
10712784
Calculate the common denominator of 67/364000 and -151/1820.
364000
Calculate the common denominator of -1/787374 and -43/126.
787374
What is the smallest common multiple of 358045 and 84371?
42607355
Calculate the common denominator of 113/72 and -91/470222.
16927992
What is the common denominator of -7/49651416 and 43/57926652?
347559912
What is the lowest common multiple of 2180190 and 780?
56684940
Find the common denominator of 97/1479528 and -145/252.
10356696
Calculate the common denominator of -45/44 and -39/1404161.
5616644
Find the common denominator of 67/6326070 and -8/111.
234064590
What is the least common multiple of 840637826 and 42?
2521913478
Calculate the common denominator of -54/104555 and 7/2906629.
14533145
Calculate the common denominator of 3/2210 and 36/482375.
12541750
What is the common denominator of 167/170551794 and -149/378?
1534966146
Calculate the common denominator of 5/63 and -51/121224761.
1091022849
What is the smallest common multiple of 38510 and 155970?
600640470
Calculate the least common multiple of 21422 and 29819424.
29819424
What is the common denominator of 37/32144 and 45/174496?
1221472
Calculate the common denominator of -221/3522750 and 16/30195.
10568250
What is the smallest common multiple of 17399316 and 4349829?
17399316
Calculate the common denominator of -107/1167858 and -35/15830964.
142478676
Calculate the common denominator of -143/48524040 and -131/1728.
1164576960
Calculate the smallest common multiple of 39874582 and 14499848.
159498328
Find the common denominator of -149/426978 and -107/1945122.
17506098
Calculate the common denominator of -93/42800 and -121/3927756.
392775600
Calculate the common denominator of 31/1542162 and 151/584958.
16963782
Find the common denominator of -61/698 and 113/23268.
8120532
Calculate the lowest common multiple of 4481760 and 128.
17927040
What is the common denominator of -3/9974 and -77/1082?
5395934
What is the common denominator of 21/16816789 and 71/6115196?
67267156
What is the smallest common multiple of 88155 and 12?
352620
Calculate the common denominator of -58/20242275 and 119/60.
80969100
Calculate the common denominator of 145/1983732 and -56/87.
57528228
What is the common denominator of 35/132963 and 143/23940?
1061044740
What is the least common multiple of 183568 and 68838?
550704
Calculate the common denominator of -46/6235715 and -14/49062135.
2600293155
Find the common denominator of 11/14297427 and 16/1588603.
14297427
Calculate the least common multiple of 49980412 and 8.
99960824
What is the least common multiple of 1706796 and 777?
63151452
What is the least common multiple of 98837900 and 140?
98837900
What is the least common multiple of 999 and 5209398?
578243178
What is the lowest common multiple of 1000280 and 1700?
5001400
What is the smallest common multiple of 2211 and 1362?
1003794
What is the common denominator of 93/52010 and 51/188722?
6605270
Calculate the common denominator of 89/12640 and 81/6478.
518240
Find the common denominator of 137/2378592 and -35/2448.
40436064
Calculate the lowest common multiple of 3848 and 384800.
384800
Calculate the common denominator of -50/854557 and 34/5.
4272785
Calculate the common denominator of 149/10365114 and -109/6.
10365114
What is the least common multiple of 1139768 and 10474?
5968965016
Calculate the smallest common multiple of 1729989 and 495.
95149395
Calculate the common denominator of -37/1743 and 68/122337.
71077797
Calculate the least common multiple of 1756116 and 744.
108879192
Find the common denominator of -109/1178044 and 76/36224853.
144899412
Calculate the smallest common multiple of 238065373 and 63.
2142588357
What is the least common multiple of 494743911 and 58518097?
5442183021
Calculate the common denominator of -77/1975392 and 67/1672.
21729312
Find the common denominator of 9/4168 and -97/3237494.
12949976
What is the common denominator of -17/280 and 1/23845060?
333830840
Calculate the least common multiple of 6791364 and 22194.
6791364
What is the common denominator of 61/83706 and 149/729438?
5106066
What is the lowest common multiple of 13884035 and 94411438?
472057190
Calculate the common denominator of 2/23697 and -115/4439238.
13317714
What is the smallest common multiple of 2534376 and 2534376?
2534376
What is the lowest common multiple of 2430990 and 3241320?
9723960
Find the common denominator of -121/37842 and -167/18768.
6962928
What is the lowest common multiple of 5 and 396478955?
396478955
What is the lowest common multiple of 1792 and 23469376?
93877504
What is the common denominator of 101/624744 and 64/111?
23115528
Calculate the common denominator of -29/61110 and 55/88949.
8005410
What is the least common multiple of 406959370 and 244175622?
1220878110
Find the common denominator of -17/42 and -37/4365060.
4365060
Calculate the least common multiple of 133824587 and 9.
1204421283
Calculate the lowest common multiple of 46092 and 836.
9633228
What is the least common multiple of 66834 and 21839787?
2052939978
Calculate the common denominator of 85/35024 and 153/3231760.
35549360
What is the least common multiple of 785025 and 18910380?
850967100
What is the least common multiple of 4500 and 491349?
737023500
What is the lowest common multiple of 18418704 and 33?
202605744
Calculate the common denominator of 97/210951000 and 157/1500.
210951000
Calculate the lowest common multiple of 7 and 25411811.
177882677
Calculate the common denominator of -57/754852 and -25/2453269.
9813076
Calculate the smallest common multiple of 10950 and 26275620.
131378100
Calculate the smallest common multiple of 5994 and 153765.
34135830
Calculate the common denominator of -58/24817269 and 56/51.
421893573
Find the common denominator of 9/11763236 and 15/49993753.
199975012
What is the common denominator of -133/6934512 and -25/18642?
165
|
{
"pile_set_name": "DM Mathematics"
}
|
-a - 8 + 6 = 0. Put a, 3, 0 in descending order.
3, 0, a
Suppose -3*i + 30 = 5*c + 2*i, -22 = -2*c - 4*i. Let n(w) be the first derivative of -w**3/3 - 3*w**2 + 2. Let y be n(-5). Put c, y, -3 in decreasing order.
y, c, -3
Let d = 3.9 + -0.9. Sort -2/5, d, -1/7 in decreasing order.
d, -1/7, -2/5
Let c = 0.3 + -0.3. Let u = 8 + -4. Let l = 11 + -14. Sort u, c, l in descending order.
u, c, l
Let z be (-6)/4 - (-52)/8. Suppose p = z - 3. Let n be (6/9)/(4/6). Sort 3, p, n in descending order.
3, p, n
Let k be -9 - (680/(-45) - -6). Let o = -24 - -47/2. Sort -2, k, o.
-2, o, k
Let n(a) = a**2 - 6*a + 5. Let r be n(6). Sort r, 2, 4, -5 in decreasing order.
r, 4, 2, -5
Let q = 2 - 6. Put 0, q, 4 in ascending order.
q, 0, 4
Suppose -4*k + 3*i + 0*i = -24, -3*k + 5*i = -29. Let s = -4 - -2. Let l be (-2*1 + 3)*s. Sort -3, l, k.
-3, l, k
Let o(y) = y**3 + 27*y**2 - 28*y. Let f be o(-28). Sort -4, 8, f in decreasing order.
8, f, -4
Suppose 11 = 2*d + 3*h, -2*d - 2*d + h = 13. Suppose -w - 3*j = -16, 6*w + 1 = 2*w + j. Sort w, 5, d.
d, w, 5
Let o(l) = -5 + 2*l**2 + 4 - l**2 - 3*l. Let q be o(2). Let y(p) = -p + 5. Let f be y(9). Sort f, 3, q in increasing order.
f, q, 3
Let u = -14 + 29/2. Put u, -3/5, -0.2 in descending order.
u, -0.2, -3/5
Let m = 8 - 4. Let g = m + 1. Let u = -7 - -6.9. Put u, 0.1, g in ascending order.
u, 0.1, g
Let c = -6 + 2. Let v be (-3 - 6/c)*-2. Let f(k) = k - 1. Let q be f(-4). Sort v, 1/4, q in increasing order.
q, 1/4, v
Suppose b = -4 + 1. Put b, -2, 3, -1 in increasing order.
b, -2, -1, 3
Let s = 0.34 - 0.81. Let h = -0.07 - s. Sort h, -0.3, -7 in decreasing order.
h, -0.3, -7
Let t(h) = h**2 + h + 2. Let w be t(0). Suppose 2*q = -4*g + 6, -12 = -w*g + 2*q - 0. Sort -5, -2, g in decreasing order.
g, -2, -5
Let o = -15 - -11. Let i = o - -4.1. Let v be (-1)/(-1)*-1*1. Sort i, -2/7, v in decreasing order.
i, -2/7, v
Let q be ((-1)/((-2)/(-2)))/1. Let c be -2 + q*6*-1. Let s = 40 - 38. Sort c, 3, s in ascending order.
s, 3, c
Let l = -0.3 + 0.2. Let z = 101 - 96. Sort -0.3, z, l in increasing order.
-0.3, l, z
Let v be 4*(4/(-28) + (-31)/28). Put 2, v, 5, -1 in decreasing order.
5, 2, -1, v
Let r = 0.16 - 0.02. Let u = -0.06 - r. Sort 0.5, u, -1 in descending order.
0.5, u, -1
Let l = 13.7 - 14. Let k = -0.7 - l. Sort 2/19, 2/7, k in descending order.
2/7, 2/19, k
Let k = 7 + -4. Let h = -155 + 155.3. Sort h, -1/3, k in ascending order.
-1/3, h, k
Let t = 17/10 - 1/5. Let r = -17.1 + 17. Let u = -2.06 - -0.06. Sort u, r, t in ascending order.
u, r, t
Let b = 10 + -13. Suppose -3*z + 8 + 7 = 0. Sort b, 4, z in decreasing order.
z, 4, b
Let n = -49 - -54. Let r = -7 + 3. Suppose -3*l - 2*l = -5. Sort n, l, r.
r, l, n
Let a(i) = -i**3 + 8*i**2 - 7*i. Let x be a(7). Put x, 1, -2 in ascending order.
-2, x, 1
Let f = -3 + 22/7. Put 1/6, 2/9, f in descending order.
2/9, 1/6, f
Suppose -3*l - 4*r - 5 = 0, -1 = -2*l + 5*r + 34. Suppose l*k + 6 = 4*k. Let v = k - -2. Sort v, 1, -1/4.
v, -1/4, 1
Let i = -0.66 + 2.66. Put i, -3, -1/3 in descending order.
i, -1/3, -3
Suppose 0 = 3*x - 9 - 6. Put 3, x, 1 in ascending order.
1, 3, x
Let m = 0 + 7. Suppose -6*n - 21 = 9. Sort m, 5, n in descending order.
m, 5, n
Let u(n) = n**2 - 8*n + 5. Let o be u(8). Suppose 0 = -5*q + 10 + o. Put 4, 1, q in decreasing order.
4, q, 1
Suppose 5*s = 4*x + 13, -x - 2*x + 14 = s. Suppose 3*d = d. Sort d, s, 2.
d, 2, s
Let n = -1.8 + 1.1. Let d = n - -0.4. Let o be -1 + ((-16)/(-4))/(-1). Put o, 1, d in increasing order.
o, d, 1
Suppose x - 6 = -2*x. Let b(t) = -3*t**2 + 0*t**2 + 2*t**2 + 2*t + 2*t. Let r be b(x). Sort 5, -2, r.
-2, r, 5
Suppose w - 4*w + 9 = 0. Suppose -w*c + c = 0. Put c, 1, -1 in increasing order.
-1, c, 1
Let d be -2 - -1 - 16/(-12). Let l = 0.8 - 0.4. Sort d, l, -3.
-3, d, l
Let j(m) = -2*m**3 + 6 - 4*m**2 - 3*m**2 + 2 - m + 3*m**3. Let h be j(7). Put -1, h, -5 in decreasing order.
h, -1, -5
Let f = -0.2 + 0.4. Let i(y) = -y**2 - 6*y + 3. Let t be i(-6). Put f, t, 5 in increasing order.
f, t, 5
Suppose 3*z - 5*c = -19, 3*c + 16 = 3*z + 5*c. Let v = z + -2. Let t be (-4 + 5)*30/6. Sort 1, t, v in ascending order.
v, 1, t
Suppose n + c + 4 = -c, 1 = -4*n - 3*c. Suppose 3*b - 129 = -4*a, b - 3*a - 12 = 18. Let h be (3/b)/((-2)/(-4)). Put h, -4, n in decreasing order.
n, h, -4
Suppose -12 = -4*s - 0, 2*s - 6 = 4*h. Sort h, 5, 1.
h, 1, 5
Let n = 2 + -5. Suppose 0 = 4*g + 6 + 10. Let m = g - n. Sort -5, m, 3.
-5, m, 3
Let m(l) be the first derivative of -l**3/3 + 4*l**2 - 2*l + 2. Let y be m(7). Let w = -2 + 3. Sort 0, w, y in decreasing order.
y, w, 0
Suppose 2*x = 4 + 2. Suppose -x = d + 1. Sort 2, -1, d in ascending order.
d, -1, 2
Let g be (6 - 4)/(2/6). Suppose -l + g = l. Suppose 2*h - 15 = -l*h. Sort 0, 4, h in decreasing order.
4, h, 0
Let j(u) = u**3 - 2*u**2 - 4*u - 1. Let v be j(3). Suppose 4 = -2*y, -5 = -g + 4*y - y. Put v, 5, g in decreasing order.
5, g, v
Suppose -3*l = -0*l - 60. Let c = l - 17. Put 1, c, -4 in increasing order.
-4, 1, c
Suppose 4*x - 83 = 17. Let a = -20 + x. Sort a, 2, 0 in decreasing order.
a, 2, 0
Let q = 0.9 + -1. Let m = 0.52 + 3.38. Let k = q - m. Put 4, k, 0.1 in increasing order.
k, 0.1, 4
Let d be (-4)/(-2) - 0 - 0. Let g = 7/13 - 47/39. Sort g, d, -0.5 in descending order.
d, -0.5, g
Suppose 3*a - 2*w - 9 = -0*w, 2*w - 16 = -2*a. Let g be (-4)/(-6) + 12/9. Suppose 3*b + 1 + g = 0. Put a, b, 3 in descending order.
a, 3, b
Let z = 10 - 8. Put z, -1, 0 in descending order.
z, 0, -1
Let c = -8 - -7.4. Let d = c + 0.2. Sort d, 4/7, -5 in increasing order.
-5, d, 4/7
Let q = 0 - 6. Let g(t) = -2*t**3 + t**2 - 2*t + 2. Let f be g(2). Let w be 3*(f/q - 1). Sort 3, w, -2 in descending order.
w, 3, -2
Let q = -1 - -3. Let x be 3/12 + 30/8. Let n be (-2)/x*4/9. Sort q, n, -1/2 in increasing order.
-1/2, n, q
Let i = -7 + -5. Let s = 7 + i. Sort 1, s, 0.4.
s, 0.4, 1
Let f = 1.1 + -2.1. Let t = 0.04 - 0.01. Let d = 4.97 + t. Put -0.5, f, d in increasing order.
f, -0.5, d
Suppose -7 = t + 2*o, 19 = -t - 4*t - 2*o. Suppose 5*j + z + 4 - 28 = 0, 5*z = -4*j + 15. Sort j, t, 9.
t, j, 9
Let h = -152 - -155. Sort h, -4, -2, -1.
-4, -2, -1, h
Let d = -0.2 + 0. Let b be -5 - (3 + -3)/3. Put d, 0.1, b in descending order.
0.1, d, b
Suppose -5*x = -2*o - 25, 2*x - 40 = -3*x - o. Sort 0, 5, x, -4 in decreasing order.
x, 5, 0, -4
Let b(d) = -d. Let i be b(4). Suppose -5*r - 5 = w, 6*r = -5*w + r - 25. Put w, 0, i in descending order.
0, i, w
Let k(r) = -r + 8. Let a be k(7). Suppose 2*f - 2*s + 2 = 18, 5*f + 3*s = 0. Sort 5, f, a in decreasing order.
5, f, a
Let x = 40 + -161/4. Let n = 13 + -12. Sort n, x, 2/5 in increasing order.
x, 2/5, n
Let o(b) = b + 1. Let d be ((-5)/(-3) - 1)*6. Let m be o(d). Sort 2, -1, m in ascending order.
-1, 2, m
Let s = 15/16 - 43/80. Sort s, -5, -0.1 in ascending order.
-5, -0.1, s
Let d(c) = c**3 + 7*c**2 + 5*c - 6. Let y be d(-6). Suppose -g - 3 = -2*g. Sort 5, y, g.
y, g, 5
Suppose -9*n - 4*f + 5 = -10*n, n - 5*f = -7. Put -0.02, n, 0.1, -0.1 in decreasing order.
n, 0.1, -0.02, -0.1
Let x be (1 - 3 - -1)*(0 + 5). Sort 8, 4, -4, x in descending order.
8, 4, -4, x
Let a(m) = -m**3 - 7*m**2 - 6*m - 9. Let f be a(-6). Let r be 2 + -2 - 2/f. Sort r, 1/2, -2 in decreasing order.
1/2, r, -2
Let d = -1.49 + 0.49. Sort 6/5, 3/5, d.
d, 3/5, 6/5
Let o be (-222)/27*168/10. Let m = o + 138. Let r be ((-2)/24)/(2/9). Put r, -0.5, m in decreasing order.
m, r, -0.5
Suppose 3*u = 3*g - 0*g - 12, 0 = -5*u + 3*g - 14. Let j be 60/8*20/(-25). Let f be (-1)/2 + 3/6. Put j, u, f in decreasing order.
f, u, j
Let u = -6/5 + 1. Let r be (-2)/15*9/(-6). Put u, r, -1 in ascending order.
-1, u, r
Let a = -1.0474 - -0.0474. Let n = 0.2 - 0.2. Put a, -1/8, n in decreasing order.
n, -1/8, a
Let g(i) = i - 7. Let r be g(7). Let n(d) = -d**3 - 8*d**2 + 4. Let m be -2*-4*(-3 + 2). Let v be n(m). Sort v, r, -5.
-5, r, v
Suppose 20 - 30 = -2*u. Sort -0.4, u, -4 in ascending order.
-4, -0.4, u
Suppose 0 = -2*m + 3*m - 10*m. Suppose 4*j - 7 = 1. Sort 3, j, m.
m, j, 3
Let m = 28 - 24. Put -4, m, 5 in descending order.
5, m, -4
Suppose 4*d = 3*i - 31, -5*d + 5*i = -2*d + 37. Sort d, 4, 3/2 in descending order.
4, 3/2, d
Let o be (-6)/(-9) + (-24)/9. Suppose 13 = 3*l - a - a, 0 = 3*l - 4*a - 17. Put -3, l, o in increasing orde
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 11*t**5 + 0*t wrt t?
-660*t**2
Let q(x) = -651*x**4 + 5*x**3 - 3*x - 1016. Let k(h) = -325*h**4 + 3*h**3 - 2*h - 509. Let j(f) = -5*k(f) + 3*q(f). Find the first derivative of j(c) wrt c.
-1312*c**3 + 1
Let z(f) be the second derivative of 13*f**4/2 - 109*f**3/6 + 2*f + 369. Find the second derivative of z(b) wrt b.
156
Let r(u) = 4*u**2 + 39*u + 191. Let s(x) = -10*x**2 - 117*x - 573. Let v(w) = -8*r(w) - 3*s(w). Find the first derivative of v(y) wrt y.
-4*y + 39
Let u(g) be the third derivative of -1/12*g**5 + 0*g**4 + 0*g**3 + 11/120*g**6 + 0*g - 5*g**2 + 0. What is the third derivative of u(a) wrt a?
66
Let f be 10/4*8/10. Find the third derivative of -w**f - 2*w**2 - 3*w**6 - w**2 - 3*w**2 wrt w.
-360*w**3
Suppose 2*a = -a - 15. Let j(d) = 14*d**2 + 16*d + 2. Let k(q) = 27*q**2 + 31*q + 5. Let g(v) = a*j(v) + 2*k(v). Find the second derivative of g(c) wrt c.
-32
Let m(n) be the second derivative of 5/21*n**7 + 0*n**5 + 0*n**3 + 0*n**6 + 0*n**2 + 0 + 11*n + 2/3*n**4. Find the third derivative of m(t) wrt t.
600*t**2
Let z(a) be the first derivative of -a**3/3 + a**2 + 12*a - 18. Let s(b) be the first derivative of z(b). Differentiate s(g) with respect to g.
-2
Let m(q) = -910*q**2 + 51. Let v(w) = -455*w**2 + 25. Let f(t) = -3*m(t) + 7*v(t). Find the first derivative of f(n) wrt n.
-910*n
Let v = 3 + -1. Suppose 2*p - 4 = -0. Differentiate 13 + x**p - 3*x**v - 7 wrt x.
-4*x
Suppose 3*u - 44 = 4*d - 4, -2*u - 4*d = -20. Find the second derivative of -u*c**3 - c + 0*c + 2*c wrt c.
-72*c
Suppose -3*v + 9 = 0, -2*u - 7*v + 2*v = -47. What is the first derivative of y + 5 + 17*y - u wrt y?
18
Let b(q) be the third derivative of -125*q**4/24 - 115*q**3/6 - 192*q**2. Find the first derivative of b(p) wrt p.
-125
Suppose 4*p + p = 0. Suppose 2*u - 12 + 0 = p. Find the third derivative of u*r**2 - 6*r**6 - 131 + 131 wrt r.
-720*r**3
Suppose 36*t = 41*t - 20. What is the first derivative of -3*d**2 + 14 + 2 - t wrt d?
-6*d
Let o(s) = -s**3 - 10*s**2 - s - 6. Let t = -14 + 4. Let c be o(t). Find the first derivative of 4 - 2*m**4 + m**4 + 0*m**4 - 3*m**c wrt m.
-16*m**3
Let w(u) = -39*u**4 + 3*u**2 - u - 7. Let m(j) = -j**4 - j**2. Let l(a) = -3*m(a) - w(a). What is the second derivative of l(p) wrt p?
504*p**2
Let i be 4 + -3 - -8 - 1. Find the third derivative of -i*l**2 + 2*l**2 + 6*l**5 + 6*l**5 wrt l.
720*l**2
Let w(y) = -71*y**3 + 6*y**2 + 6*y + 364. Let a(b) = 141*b**3 - 13*b**2 - 13*b - 729. Let p(s) = -6*a(s) - 13*w(s). Differentiate p(t) wrt t.
231*t**2
Let s(w) be the third derivative of 7*w**5/15 - 77*w**3/6 + 102*w**2. What is the first derivative of s(d) wrt d?
56*d
Suppose -4*z + 85 = b, 0 = 2*z + 4*b - 73 + 13. Let k be (10/4)/(25/z). What is the third derivative of -2*v**3 + 4*v**3 + k - 7*v**2 - 2 wrt v?
12
Let u(f) be the first derivative of 11/3*f**3 + 4 - 7/2*f**2 + 0*f. Find the second derivative of u(l) wrt l.
22
What is the first derivative of 264 + 5*q + 1048*q**3 - 5*q - 733*q**3 wrt q?
945*q**2
Let j(f) = -56*f - 44*f**2 - 36 + 68 - 43. Let w(c) = -15*c**2 - 19*c - 4. Let b(p) = 4*j(p) - 11*w(p). What is the second derivative of b(d) wrt d?
-22
Let k(w) = -10*w**4 + 4*w**3 + 9. Suppose 6*u - 3*u = 0, 3*h - 5*u = -12. Let q(t) = 11*t**4 - 3*t**3 - 9. Let b(r) = h*q(r) - 3*k(r). Differentiate b(o) wrt o.
-56*o**3
Let i(s) be the second derivative of -2*s + 0*s**4 + 1/42*s**7 + 0 + 0*s**5 + 0*s**2 + 0*s**6 + 1/6*s**3. Find the second derivative of i(a) wrt a.
20*a**3
Let k(g) = -2*g**4 - 10*g**3 + 5*g**2 - 169. Let s(o) = -2*o**4 - 5*o**3 + 3*o**2 - 84. Let c(b) = 3*k(b) - 5*s(b). What is the first derivative of c(m) wrt m?
16*m**3 - 15*m**2
Let x = 10 - 9. Let k be (-3)/x*(-8)/12. Find the second derivative of -11*q**2 + 2*q + 4*q**k - 8*q - 3*q**2 wrt q.
-20
Suppose 11*y = 10*y. Let q be (-1)/(y - (-3)/(-9)). What is the third derivative of q*i**5 + 12*i**2 - 4*i**2 - 2*i**2 wrt i?
180*i**2
Let s = 58 + -55. What is the third derivative of -f**2 - 2*f**2 - f**5 + s*f**5 - 16*f**2 wrt f?
120*f**2
Let w(j) be the third derivative of 3*j**7/70 - 7*j**5/60 + 17*j**4/24 + 25*j**3/6 - 217*j**2 + 2. What is the second derivative of w(f) wrt f?
108*f**2 - 14
Suppose 0 = 3*m - 18*m + 30. What is the second derivative of -32*j**m + 65*j**2 - 2*j + 10*j + 5*j wrt j?
66
What is the second derivative of -23 + 25*z**4 + 24 + 2*z**3 + 7*z - 4*z + 23*z**4 wrt z?
576*z**2 + 12*z
Let b(g) = -g**6 - g. Let d = -19 - -19. Let f(m) = d*m - m + 0*m - 2*m**2 - 5*m - 8*m**6. Let i(a) = 12*b(a) - 2*f(a). Find the third derivative of i(t) wrt t.
480*t**3
Differentiate -m**2 - m + m**2 - 187 - 3*m + 6*m - 5*m**3 wrt m.
-15*m**2 + 2
Let l(k) = -k**2 + 8. Let u be l(2). Let o(p) be the first derivative of 5*p + 0*p**2 + u + 5/4*p**4 + 0*p**3. Differentiate o(b) with respect to b.
15*b**2
Let i be (2/(-3))/(2/(-12)). Suppose 2*l - i = -2. Find the first derivative of k + 5 + l - 2*k + 0 wrt k.
-1
Let z(o) be the second derivative of 17/15*o**6 + 0*o**5 + 0*o**4 + 49/2*o**2 + 24*o + 0*o**3 + 0. Find the first derivative of z(t) wrt t.
136*t**3
Let d = 2 + -6. Let v(i) = -19*i**3 - 5*i**2 - 15. Let h(f) = 18*f**3 + 4*f**2 + 14. Let r(x) = d*v(x) - 5*h(x). Find the first derivative of r(t) wrt t.
-42*t**2
Suppose 8 + 0 = 4*q. Suppose 3*f + f - 2*x - q = 0, 0 = -3*f + 3*x - 6. Find the second derivative of 2*g**3 + 0*g + 3*g - 4*g**f - 2*g**3 wrt g.
-24*g
Let s(x) be the first derivative of -2*x**7/7 - x**4/4 + 2*x**3/3 + 9*x**2/2 + 130. Find the third derivative of s(k) wrt k.
-240*k**3 - 6
Find the third derivative of -744*v**5 - 379*v**2 + 22*v**2 - 274*v**2 wrt v.
-44640*v**2
Suppose -7*f + 20 = -2*f. Find the second derivative of 3*h - 6*h**4 + 15*h**4 + 6*h + 7*h**f wrt h.
192*h**2
Let x = 1981/2 - 989. Let v(f) be the first derivative of 0*f + 0*f**5 + 0*f**4 + 0*f**3 + 5/2*f**2 + 3 + x*f**6. What is the second derivative of v(p) wrt p?
180*p**3
Let u(i) = 1010*i**2 + 1527*i + 21. Let o(b) = -336*b**2 - 509*b - 6. Let j(l) = 14*o(l) + 4*u(l). Find the second derivative of j(v) wrt v.
-1328
Let m(c) = -2*c**4 - c**3 + c - 1. Let u(d) = 65*d**4 + 5*d**3 - 5*d + 24. Let x(t) = 10*m(t) + 2*u(t). Differentiate x(r) wrt r.
440*r**3
Let g be (3 - (-27)/(-6))*4/(-3). Find the third derivative of 79*z**6 + 25*z**g + 78*z**6 - 166*z**6 wrt z.
-1080*z**3
Suppose 4*t - 13 = -5. Find the third derivative of 3*d**3 + 29 + 3*d**t - 29 wrt d.
18
Let a(k) = -22*k**2 + 2*k + 9. Let q(m) = 3. Let f(d) = -a(d) + 3*q(d). What is the second derivative of f(r) wrt r?
44
What is the derivative of -207*b + 205*b + 74 + 31*b**3 + 21*b**3 wrt b?
156*b**2 - 2
Let t(n) be the first derivative of -6 - 8/5*n**5 + 0*n + 2*n**3 + 0*n**4 + 0*n**2. Find the third derivative of t(m) wrt m.
-192*m
Let y(o) be the second derivative of 13/2*o**2 + 17*o + 0 + 0*o**3 + 3/5*o**5 + 0*o**4. Differentiate y(u) wrt u.
36*u**2
Differentiate 0 + 9*h + 39 + 36*h + 16 + 3*h**2 with respect to h.
6*h + 45
Let p(l) be the first derivative of -146*l**5/5 + 50*l**3 - 121. What is the third derivative of p(u) wrt u?
-3504*u
Suppose -7*j + 61 = -30. Differentiate -j - 2*h**3 - 16 + 9 - 3*h**3 wrt h.
-15*h**2
Let w = 7 - 2. Suppose -w*t = -f - 86, 2*f = -2*t - f + 48. Differentiate 2*d**4 + t*d - 18*d + 7 - 1 wrt d.
8*d**3
Let k(t) = -2*t - 1. Let h be k(-1). Let x = h + 1. What is the second derivative of x*g**5 + 6*g**5 - g + 7*g**5 - 14*g**5 wrt g?
20*g**3
Suppose -3*o + 0*o - 2*w = -10, -w = -3*o + 4. What is the third derivative of 3*j**3 + 8*j**2 - o*j**3 + 0*j**2 - 5*j**3 wrt j?
-24
Let c(r) = 80*r**3 - 5*r**2 - 118*r - 5. Let d(h) = 11*h**3 + h**2 - h + 1. Let s(b) = -c(b) - 5*d(b). Find the second derivative of s(w) wrt w.
-810*w
Let l be 4/(((-6)/4)/(6/(-8))). Find the first derivative of 9*w - 7*w - 2*w + 6*w**l + 1 wrt w.
12*w
Let x be 6/(1 - 0) + (-21)/7. What is the third derivative of -5*s**5 + x*s**5 + 3*s**2 + 26*s**2 - 6*s**5 wrt s?
-480*s**2
Let q(g) be the first derivative of g**4/4 + 236*g**3/3 + g**2 - 13*g - 341. Find the second derivative of q(t) wrt t.
6*t + 472
Let w(j) be the second derivative of 12*j**2 - 34*j + 1/30*j**6 + 0 + 0*j**3 + 0*j**5 + 0*j**4. Differentiate w(x) wrt x.
4*x**3
Let n(g) = -g + 14. Let q be n(-15). Find the third derivative of q*v**2 - 35*v**2 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
t 429.2 * -2.
-858.4
60558 times 11
666138
Product of 1 and 30485.
30485
What is -657 times -414?
271998
What is the product of -21.817 and 0.04?
-0.87268
Product of 24.961 and 3.
74.883
Work out -1.32 * -74.2.
97.944
39.176*-1
-39.176
What is the product of 0.4 and 8.42?
3.368
2.8 times 323
904.4
-389*5.2
-2022.8
What is the product of -1 and 3.58713?
-3.58713
0.2*-2.6172
-0.52344
What is 0.12 times -22552?
-2706.24
43*-352.8
-15170.4
Work out -0.4 * 13601.
-5440.4
What is the product of 18398 and -8?
-147184
-868713 * -1
868713
Calculate -49.1*-131.
6432.1
94 times -0.4972
-46.7368
0*390.949
0
6.9152 times -2
-13.8304
17 * -87.1
-1480.7
What is 6.6953 times 0.05?
0.334765
Product of -4 and 3935.3.
-15741.2
What is the product of -550 and -0.15?
82.5
-2 * -32900
65800
-703 times -2.23
1567.69
Product of 0.45 and 13903.
6256.35
20589 * 0.83
17088.87
Multiply 9.401 and 3.
28.203
Product of -5 and -437842.
2189210
0.008315*-0.06
-0.0004989
What is the product of 145119 and -0.05?
-7255.95
0.32463*3.9
1.266057
Product of -15 and -163.6.
2454
0.2 times -54.6183
-10.92366
Work out -1.8 * 25.
-45
Work out -146231 * 10.
-1462310
What is the product of -0.08 and -1574?
125.92
Work out -1180 * -1.
1180
What is -20452 times 58?
-1186216
Product of 0.2 and 318924.
63784.8
What is the product of 1 and -0.082339?
-0.082339
What is the product of 11664.3 and 0.5?
5832.15
-0.5*229268
-114634
Product of -0.05 and 4736.
-236.8
Product of -0.12192 and -0.2.
0.024384
What is the product of -839 and 341?
-286099
Product of -0.5 and -921.
460.5
-9.8*-135
1323
-0.00625*-33
0.20625
-0.06249 times 19
-1.18731
3572*0.01
35.72
Calculate -225.6*0.
0
Product of -4193 and 153.
-641529
-0.069425 * 4
-0.2777
45.4*-1
-45.4
What is 23 times 1026?
23598
-0.1024 * 0.01
-0.001024
6 * -193781
-1162686
What is -25485.9 times 5?
-127429.5
Calculate 721*2.1.
1514.1
Calculate -0.4*-10645.
4258
7475 * 0.1
747.5
What is the product of -1 and -10682?
10682
Product of 22 and -178949.
-3936878
-22.2 * 1.9
-42.18
Product of 0.195 and 0.021.
0.004095
154076*-0.5
-77038
Multiply -52.7 and -19.
1001.3
7 * -349.579
-2447.053
-4 times -0.144781
0.579124
39688*-0.1
-3968.8
Calculate -0.4*-12203.
4881.2
Calculate -0.0901095*2.
-0.180219
What is -0.4 times 25081?
-10032.4
Multiply 4 and 254146.
1016584
436267 times 0.2
87253.4
What is the product of 61.419 and 0?
0
Multiply 17569 and -0.3.
-5270.7
-24632 * 53
-1305496
Work out -11.2 * -0.43.
4.816
Calculate -0.04696*-0.1.
0.004696
Work out -6517 * -0.02.
130.34
Work out -0.5 * -116407.
58203.5
-3.003 * 0.1
-0.3003
552*-1.092
-602.784
Product of 0.0052 and 54.
0.2808
Multiply 0.1 and -24.042.
-2.4042
Work out -3 * 3.96053.
-11.88159
What is 0.144781 times -5?
-0.723905
Product of 26 and -1809.
-47034
Product of -1 and 59477.
-59477
Multiply 78.327 and 2.
156.654
Work out 21.24 * 40.
849.6
25.9*2420
62678
Product of 1.719 and -0.287.
-0.493353
What is the product of 0.423 and -2.9?
-1.2267
Calculate 0.0118*121.
1.4278
-41 times 2.29
-93.89
5 times -147458
-737290
Work out -3353 * -0.021.
70.413
What is -59 times 2418?
-142662
3 * 5.2333
15.6999
516700 * 0.5
258350
Multiply 1678 and 6.2.
10403.6
Product of -0.01 and 0.845.
-0.00845
Multiply -4 and 3008.
-12032
Product of 7 and 2.74.
19.18
0*675842
0
-0.1 times -157631
15763.1
2507 * -131
-328417
Multiply -11.47 and -0.1.
1.147
Calculate -17794*-3.
53382
Multiply -1.4 and 496.3.
-694.82
0.2*1702349
340469.8
Product of 40187 and 2.
80374
Product of 2.5 and 2122.
5305
Product of 0.6 and -175170.
-105102
-5*-1.972619
9.863095
Work out -5 * 51148.
-255740
Calculate 28*27764.
777392
0.5 * 11750
5875
-290 times 131
-37990
Product of 0.19035 and 0.6.
0.11421
-4.3*-0.86
3.698
Product of 362177 and -3.
-1086531
Product of -0.3 and 18206.
-5461.8
What is -0.0539 times 1119?
-60.3141
5773*-0.4
-2309.2
2 times -20176
-40352
What is the product of 0.2 and -0.3801?
-0.07602
6213.09*0
0
Work out 345644 * 0.19.
65672.36
5 times 34608
173040
Product of 0.4284 and -20.
-8.568
What is the product of -4 and -27825?
111300
0.1*82503
8250.3
Multiply -1011 and 0.02.
-20.22
Product of 0.059 and 9743.
574.837
What is the product of -23.5278 and -1?
23.5278
Multiply 45.4721 and 1.
45.4721
Calculate -1.96*454.
-889.84
-166 * -200
33200
Product of 9.68 and -0.11.
-1.0648
-0.2 * -1867.6
373.52
Calculate -0.069*-50.1.
3.4569
Multiply 8.3 and 25.12.
208.496
-832399 * 0.2
-166479.8
0.23 * 0.1325
0.030475
Product of 1478 and -0.065.
-96.07
Calculate -0.22535*-0.41.
0.0923935
Calculate -0.231*-248.
57.288
What is -29762 times 0?
0
231450 * 0.3
69435
What is the product of 0 and -1818.98?
0
What is -0.52 times 40.9?
-21.268
Work out -1851.9 * 41.
-75927.9
Product of 58286 and 0.11.
6411.46
Work out -673 * 136.
-91528
Calculate -21125.5*2.
-42251
232*-299
-69368
-0.02 times -12046
240.92
Product of 174 and -34.
-5916
Work out -2079 * 6.
-12474
324.7 * -0.01
-3.247
3772 times 0.09
339.48
Work out 5 * 127444.
637220
Multiply 4 and -7.6481.
-30.5924
Multiply -167 and 1490.
-248830
Work out -15.2 * -173.
2629.6
What is 0.23677 times -0.04?
-0.0094708
Work out -52106 * 3.
-156318
-4 * -1517477
6069908
Product of 2528072 and 4.
10112288
-3*-14600
43800
Calculate -103.427*-0.4.
41.3708
Multiply -25428 and 5.
-127140
Work out 0.4 * -71.369.
-28.5476
Product of 86.37 and -96.
-8291.52
What is the product of -70808 and -1.9?
134535.2
Product of 0.2 and 52154.
10430.8
What is 0 times 62682?
0
What is 0.3 times 1411719?
423515.7
-98879 * -28
2768612
-44.3*-472
20909.6
What is the product of -14 and -0.18095?
2.5333
What is -2450 times -8.08?
19796
What is the product of -2.6 and 2310?
-6006
Product of -0.12 and 5526.
-663.12
Product of 5 and 0.46609.
2.33045
What is 0.2 times 24.282?
4.8564
Product of -3799.8 and 0.01.
-37.998
Multiply -5.2577 and -4.
21.0308
2*752477
1504954
Work out 80884 * 0.
0
Multiply -0.497 and 31.
-15.407
What is the product of 10.3 and -48?
-494.4
Product of -3164893 and -2.
6329786
0.4*137024
54809.6
What is -0.5 times 112.3878?
-56.1939
What is the product of -6849 and -134?
917766
Work out -0.52339 * 0.3.
-0.157017
19.685 times -0.4
-7.874
Calculate -1.5*2.4845.
-3.72675
-0.04 times -0.09169
0.0036676
What is the product of 1118 and 58.8?
65738.4
Work out 25.4 * -0.921.
-23.3934
Calculate 528*-27.
-14256
Work out -12.37 * 3.
-37.11
Multiply -0.15 and -380.3.
57.045
23691.7 times -1
-23691.7
What is the product of 34.9 and -117?
-4083.3
82691 times 0.4
33076.4
Product of 0 and 1.01863.
0
What is the product of 4.43 and 74.9?
331.807
What is the product of -0.1 and -0.007736?
0.0007736
-0.2148063 * -0.2
0.04296126
What is the product of -76 and -117?
8892
What is the product of -3 and 0.97385?
-2.92155
What is the product of -0.055 and -16894?
929.17
Work out 1359849 * 4.
5439396
What is 18999 times 0.66?
12539.34
Work out 3 * -16.835.
-50.505
-56.983*-0.18
10.25694
What is the product of 36550 and -5?
-182750
2 * 7032
14064
What is the product of 462 and 182?
84084
What is -0.02327 times -1.96?
0.0456092
Work out -7 * -354632.
2482424
Calculate 0.05*-0.04971.
-0.0024855
210.9*-2.1
-442.89
Calculate 0*-415590.
0
What is 0.19 times 99?
18.81
-18655 times 0.2
-3731
Calculate 2*5.023.
10.046
What is the product of 5091 and 0.058?
295.278
-0.5*50248
-25124
-150*0.0848
-12.72
What is the product of -69 and -1582?
109158
-3 times -0.4753
1.4259
What is 1 times -629310?
-629310
Work out 2 * 2.4497.
4.8994
Work out 54 * 6320.
341280
What is 181 times 1.3?
235.3
Product of -3152 and 2.33.
-7344.16
5901286*-5
-29506430
Work out 0.352712 * -0.2.
-0.0705424
Product of -27 and -0.05479.
1.47933
What is -0.8 times 0.21899?
-0.175192
3.72*-3009
-11193.48
What is -6103 times 0.05?
-305.15
What is the product of -2.03 and -2550?
5176.5
Calculate 8.1*0.0363.
0.29403
Multiply 5.425 and -0.7.
-3.7975
Work out -0.1 * -4034.49.
403.449
Calculate 0.86*414.
356.04
1 * -31716.7
-31716.7
What is the product of -31.68 and -191?
6050.88
Work out -5.4471 * 12.
-65.3652
0.3297*-199
-65.6103
What is 2827 times 1.1?
3109.7
2197*13
28561
Product of 2 and 25086.
50172
0.4*-510010
-204004
Multiply -0.0729841 and 5.
-0.3649205
Product of 2048 and 27.
55296
Product of 453223 and -2.
-906446
-0.052*-2.061
0.107172
Multiply 2 and -61292.
-122584
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
s 6*i(h) + 5*q(h)?
-h**2 - h + 1
Let w = -17984 + 17971. Let a(q) = 32*q**3 + 13*q**2 - 13*q - 11. Let b(u) = 16*u**3 + 6*u**2 - 6*u - 5. Give w*b(h) + 6*a(h).
-16*h**3 - 1
Let t(h) = -h - 3. Suppose -5*f = 4*s + 5, -2*f + 28 - 2 = -4*s. Let a be (-10)/(-6)*(84/(-35))/(-2). Let y(p) = 4 - 15*p - a*p + 19*p. Give f*t(o) + 2*y(o).
o - 1
Suppose -3*f = 4*s + 23, -2*f - s - 22 = 3*s. Let h(y) = -2*y**3 + y**2 - 4*y + 6. Let l(u) = u**3 - 13 + u - 9 + 37 - 16. What is f*h(d) - 4*l(d)?
-2*d**3 - d**2 - 2
Let c(x) = -2*x**2 - x. Let k(n) = -35*n**3 - 2*n**2 + 3*n. Determine 2*c(p) - k(p).
35*p**3 - 2*p**2 - 5*p
Let y(o) = 2*o**3 + 31*o**2 + 10*o - 72. Let q be y(-15). Let l(a) = 8*a. Let h(p) = -7*p - 1. What is q*l(g) + 2*h(g)?
10*g - 2
Let d(u) = 9*u**2 - 3*u + 3. Let n(r) = 46*r**2 - 14*r + 14. Let b = 459 + -463. Let l(h) = 2*h**3 + 5*h**2 - 8*h + 13. Let g be l(b). Give g*n(z) + 14*d(z).
-12*z**2
Let g(q) = -7*q**2 + 2*q - 3. Let a(f) = 6*f**2 - 23*f - 2 + 4 + 22*f. Suppose 0 = 6*c - 35 + 53. Give c*g(d) - 4*a(d).
-3*d**2 - 2*d + 1
Suppose 4*f = 5*q + 99, -5*f - 309*q + 313*q = -81. Let h(w) = -3 - 1 + 2*w - 4. Let l(p) = p - 1. What is f*h(y) - 3*l(y)?
-y - 5
Let l(w) = -w**3 - 1. Let h = 20751 - 20754. Let c(m) = -10*m**3 - 5. Give h*c(v) + 15*l(v).
15*v**3
Let j(r) = 7*r**2 - 10 + 11 - 7 + 7*r. Let l(k) = -3*k**2 - 5 + 4*k**2 + 5*k**2 + 6*k. Suppose 19*w + 276 - 200 = 0. Determine w*j(z) + 5*l(z).
2*z**2 + 2*z - 1
Let g(c) = 298*c**3 + 50*c**2 + 2*c - 3. Let h(u) = 3277*u**3 + 575*u**2 + 23*u - 34. Determine 46*g(z) - 4*h(z).
600*z**3 - 2
Let q be -14 - -12 - (0 + 3). Let g = q + 4. Let m(a) = -82*a + 1. Let l(w) = -111*w + 1. Let h(c) = 3*l(c) - 4*m(c). Let s(f) = f - 1. What is g*h(d) - s(d)?
4*d + 2
Let z(w) = 8. Let m(d) = d + 9. Let t = -13789 + 13786. Calculate t*z(l) + 2*m(l).
2*l - 6
Let z(t) = 9*t + 839. Let j(m) = -4*m - 410. Calculate -5*j(i) - 3*z(i).
-7*i - 467
Let y(a) = 15*a**2 + 3*a + 8. Let u(q) = q**2 + 3*q + 16. Let r(x) = 2*x + 11. Let j(l) = 7*r(l) - 5*u(l). Calculate 8*j(m) + 3*y(m).
5*m**2 + m
Let k(n) = 9*n - 3. Let s(i) be the first derivative of -3*i - 84 - 3*i - 3 + 7*i - 2*i**2. Give 2*k(d) + 5*s(d).
-2*d - 1
Let p(c) = c**3 - 19. Let r(j) = -j**3 + 38. Suppose -4*f + 31 = -5*h - 14, 5*h = -2*f - 15. Calculate h*p(u) - 3*r(u).
-2*u**3 - 19
Suppose 2*v + k = 0, 3*v = -2*k + 23 - 26. Let l(i) = -6*i - 4. Let j(o) = 11*o + 8. Give v*j(b) + 5*l(b).
3*b + 4
Let t(j) = 8*j**2 - 3. Let m be 283/(-8) + 105/280. Let w = 53 + -39. Let o be 4/(-6) - w/6. Let x(r) = -95*r**2 + 35. Determine m*t(f) + o*x(f).
5*f**2
Let b(i) = -i**2 + 1. Let l(h) = 3*h**2 - 2*h - 9. Suppose 44*m - 22 = 55*m. Determine m*b(s) - l(s).
-s**2 + 2*s + 7
Let t(z) = 12. Let p(a) = 115*a + 305. What is p(v) - 25*t(v)?
115*v + 5
Let d(q) = 5*q**3 - 7*q**2. Let i = 367 + -361. Let p be ((-22)/i)/(-11) + 30/(-9). Let t(m) = -4*m**3 + 6*m**2. What is p*d(l) - 4*t(l)?
l**3 - 3*l**2
Let y(t) = -4*t + 3. Let g(w) = 5*w**2 + 67*w - 35. Let k be g(-14). Let f(z) = 3*z - 2. Determine k*f(l) + 5*y(l).
l + 1
Let m(y) = -y**2 + y - 1. Suppose 5*n - 5 = -3*k, 4*n - 37*k = -34*k + 4. Let h(f) = 17*f**3 - 6*f**2 + 6*f - 6. Determine n*h(t) - 6*m(t).
17*t**3
Let j(s) = 245*s**2 + 20*s - 18. Let c(g) = 262*g**2 + 19*g - 16. What is -9*c(l) + 8*j(l)?
-398*l**2 - 11*l
Let l(x) = -1. Let a be -4 + ((-12)/(-2))/3. Let t = 59750 + -59751. Let s(w) = 2*w. Let h(i) = i - 1. Let v(d) = -h(d) + s(d). What is a*l(r) + t*v(r)?
-r + 1
Let i(m) = -17*m**3 + 2*m**2 - 21*m + 11. Let w(p) = -16*p**3 + 2*p**2 - 20*p + 9. Give 4*i(z) - 5*w(z).
12*z**3 - 2*z**2 + 16*z - 1
Let f(c) = -c + 1. Let x(v) = 24*v**2 + 6*v - 6. Let o(a) = -28*a - 34. Let k be o(-1). Give k*f(s) - x(s).
-24*s**2
Let g(q) be the first derivative of q**2/2 - 524. Let w(a) = -3*a - 1. Suppose 3*d - 1 + 4 = 0. Determine d*w(k) - 4*g(k).
-k + 1
Let p(g) = 5*g**3 - g. Let b be p(1). Let c(o) = 9*o + 4. Let j(d) be the second derivative of 4*d**3/3 + 3*d**2/2 + d + 2257. Calculate b*j(u) - 3*c(u).
5*u
Suppose 4*c - 11068 + 11076 = 0. Let i(d) = d**3 + 2*d**2 + 2*d + 15. Let y(a) = 5*a**3 + 11*a**2 + 10*a + 76. What is c*y(u) + 11*i(u)?
u**3 + 2*u + 13
Let t(v) = 2*v**2 - 3*v + 3. Let o be 2/5 - 440/(-25). Suppose -o*i - 171 = -27. Let x(g) = 6*g**2 - 8*g + 9. What is i*t(f) + 3*x(f)?
2*f**2 + 3
Let h(o) be the second derivative of -o**3/6 - o**2/2 - 58*o. Let w(f) = f - 3. Let n = 11 + -6. Let y be w(n). Let l(p) = -p - 2. Determine y*l(q) - 3*h(q).
q - 1
Let k(r) = -4*r**2 + 6*r + 5. Let f be 21128/(-32) + 3/12. Let d = f - -654. Let h(i) = -9*i**2 + 13*i + 11. Give d*h(l) + 13*k(l).
2*l**2 - 1
Let w = -2166 - -2168. Let u(j) = 495*j - 77. Let a(k) = -13*k + 2. Calculate w*u(l) + 77*a(l).
-11*l
Let a(f) = -f**2 - 11*f - 2. Let r(w) = -w**3 + 2*w**2 + 11*w + 3. Suppose -18 = 46*d - 61*d + 12. What is d*r(n) + 3*a(n)?
-2*n**3 + n**2 - 11*n
Suppose -2*c = -7*c - 25. Let n(p) be the first derivative of -9*p**4/4 + 3*p**3 + 21*p**2/2 - 157587. Let x(o) = -2*o**3 + 2*o**2 + 5*o. Give c*n(s) + 21*x(s).
3*s**3 - 3*s**2
Let x(r) = r**3 - 3*r**2 - 15*r. Let u(f) = f**3 - f**2 + f. Suppose 17 - 46 = -13*k - 16. What is k*x(h) - 3*u(h)?
-2*h**3 - 18*h
Let n(v) = -3*v + 6. Let x(z) = -z**2 - 4*z + 26. Let s be x(-5). Suppose 0 = -15*k + s - 186. Let h(w) = 8*w - 17. Calculate k*n(c) - 4*h(c).
c + 2
Let p = -87 + 90. Let z(h) = 2 + 1 - p*h**2 - 2 + h + 2*h**2. Let f(w) = 4*w**2 - 5*w - 4. Give f(o) + 3*z(o).
o**2 - 2*o - 1
Let v(n) = -3*n**3 - 3*n**2 - 5*n - 53. Let o(b) = -b**3 - b - 3. What is 5*o(l) - v(l)?
-2*l**3 + 3*l**2 + 38
Let z(u) be the first derivative of -27*u**4/4 - 4*u**3/3 + 2*u**2 - 5*u - 209. Let x(g) = -27*g**3 - 5*g**2 + 5*g - 6. Determine -4*x(o) + 5*z(o).
-27*o**3 - 1
Let c(f) = 15*f**2 - 8*f + 85. Let p(m) = -15*m**2 + 9*m - 97. What is 7*c(l) + 6*p(l)?
15*l**2 - 2*l + 13
Let w(s) = 8*s - 11. Suppose 37*f + 114 = 35*f. Let g = -53 - f. Suppose 0 = -g*v - 22 - 66. Let l(q) = -2*q + 3. Determine v*l(b) - 6*w(b).
-4*b
Let t(l) = -3*l**3 + 8*l**2 - 57*l + 8. Let s(x) = x**3 - 2*x**2 + 2*x - 2. Determine -4*s(y) - t(y).
-y**3 + 49*y
Let c(i) = 4*i**3 - 5*i**2 - 19*i + 5. Let l(x) = -10*x**3 + 12*x**2 + 48*x - 12. Let b(m) = 45*m - 1625. Let o be b(36). Determine o*l(h) - 12*c(h).
2*h**3 - 12*h
Let d(h) = 16*h**3 + 50*h**2 - 8*h + 2. Let w(j) = -79*j**3 - 255*j**2 + 43*j - 11. Calculate 11*d(f) + 2*w(f).
18*f**3 + 40*f**2 - 2*f
Let z be (36/(-15))/((-132)/330). Let w(f) = -f**3 + f**2 - f + 1. Let v(k) = 7*k**3 - 6*k**2 + 6*k + 3. Determine z*w(q) + v(q).
q**3 + 9
Let x(u) = -u**3 + 4*u - 4. Let t(b) = 4*b**3 - 29*b**2 - 28*b + 28. Give 5*t(v) + 35*x(v).
-15*v**3 - 145*v**2
Let y(p) = -24*p**3 + 66*p**2 - 2075*p - 50. Let n(l) = 8*l**3 - 24*l**2 + 692*l + 18. What is 11*n(r) + 4*y(r)?
-8*r**3 - 688*r - 2
Let w(y) = -70*y - 14. Let k(t) be the second derivative of -7*t**3/3 - 3*t**2/2 - 15*t - 14. Calculate -14*k(s) + 3*w(s).
-14*s
Let s(c) = 13*c + 13. Let b(q) = -5*q - 5. Let t(z) = 8*b(z) + 3*s(z). Suppose -5 = -3*n - 8. Let d(i) = 2*i - 2*i - 6*i - 4. Give n*d(a) + 3*t(a).
3*a + 1
Let p(k) = -1396*k + 1396*k + 12 - 20 - 12*k**3 - 55*k**2 + 47*k**2. Let o(v) = -v**3 + v**2 + 1. Give 8*o(l) + p(l).
-20*l**3
Let l(w) = 5*w**2. Let y(x) = -3*x**2. Let f(h) = h. Let o be f(7). Let i = -161802 + 161806. What is i*l(s) + o*y(s)?
-s**2
Let l(m) = -11*m**3 + 1347*m**2 - 5. Let g(i) = 9*i**3 - 1346*i**2 + 4. What is 5*g(d) + 4*l(d)?
d**3 - 1342*d**2
Let x(m) = -5*m. Let z(t) = 11*t. Let g(q) = 3*q. Let v(a) = -5*g(a) + z(a). Determine -6*v(k) + 5*x(k).
-k
Let v(l) = -3*l - 5. Let t be (2*(-1)/2)/(-2 - -3). Let u(b) be the third derivative of b**4/24 + b**3/6 - 6*b**2 - 57. Calculate t*v(a) - 6*u(a).
-3*a - 1
Let m(n) be the first derivative of -5*n**2 - 2*n - 6. Let j(a) = 8*a - 10281 + 2*a + 16*a - 16*a + 10284 - a**2. Determine -2*j(i) - 3*m(i).
2*i**2 + 10*i
Let f(h) = 81*h**3 - 8*h**2 + h - 13. Let a(b) = b**3 - 2*b**2 - 3. Give 4*a(n) - f(n).
-77*n**3 - n + 1
Let b(x) = -4*x - 3. Let l be (21/9)/((-224)/(-576)). Let h(g) be the second derivative of 6*g**3 + 13*g**2 - 6*g. Give l*h(z) + 52*b(z).
8*z
Let r(a) = 2*a**3 - 1805*a**2 + 8*a + 16. Let d(i) = i**3 - 602*i**2 + 3*i + 6. Give -8*d(x) + 3*r(x).
-2*x**3 - 599*x
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let j(v) be the third derivative of -9*v**6/40 + v**5/60 - 11*v**4/24 - 7*v**3/6 + 7*v**2 + 4*v. What are the prime factors of j(-4)?
13, 137
Let l(s) = 44*s**2 + 20*s + 73. Let u(t) = -4*t**3 + 8*t - 7. Let q be u(1). What are the prime factors of l(q)?
409
Let z(t) = -6*t**3 + t**2 - 9*t + 12. Let l be z(5). Let q = -515 - l. What are the prime factors of q?
3
Suppose 580*f - 578*f - 3*d - 18414 = 0, -2*f + 2*d + 18410 = 0. List the prime factors of f.
3, 3067
What are the prime factors of 288/2400 + 2265610/125?
5, 29
Let z(p) = 4*p**2 - 157*p - 3319. List the prime factors of z(-27).
2, 7, 137
Let n(w) = w**2 + 106*w - 1922. What are the prime factors of n(123)?
5, 29, 181
Let q(u) = -u**3 + 19*u**2 + 2*u - 36. Let i be q(19). Suppose -f + 0*v + 2*v = -439, i*v - 1746 = -4*f. What are the prime factors of f?
19, 23
Suppose -r = -8*m + 7*m + 2936, 2*m - 5*r = 5869. What are the prime factors of m?
3, 11, 89
Let b = 6520 - -11902. List the prime factors of b.
2, 61, 151
Suppose 4*q - 8 + 0 = 0. Suppose 0*u - q*y + 16 = u, -3*u = 3*y - 36. Suppose 0 = u*z - 157 - 139. What are the prime factors of z?
37
What are the prime factors of (-200970)/(-16) + 3 - 7 - 9/(-24)?
29, 433
List the prime factors of (2 + -8 + 5)*5 + 11779.
2, 7, 29
Suppose -4*g + 3*g + 3 = 0. Suppose 2*i = 2*z + 26, z - 6*z - 1 = g*i. Suppose i*s + 2*s = 450. What are the prime factors of s?
3, 5
Let c(w) = 38*w + 1017. List the prime factors of c(29).
13, 163
Let r = -651 + 167. Let q = 1069 + r. List the prime factors of q.
3, 5, 13
Suppose -178*h - 563735 = -209*h. What are the prime factors of h?
5, 3637
Let c = -72 - -83. Let y be 3/2*(-23 + c). Let j(l) = -l**3 - 20*l**2 - 43*l - 4. List the prime factors of j(y).
2, 61
Suppose -91*n + 344850 = -16*n. List the prime factors of n.
2, 11, 19
Suppose 0 = 5*h - 2*b - 26, -5*h + 2*h + b = -16. Suppose -h*t + 7 = -17. Suppose 0 = -t*i - 3*n + 196, -i + 5*i - 3*n - 220 = 0. List the prime factors of i.
2, 13
Suppose d + 10*d = 0. Suppose -4*h - r + 1496 = 3*r, d = r + 1. List the prime factors of h.
3, 5
List the prime factors of -4306*2/(-8) - (-68)/(-136).
2, 269
Let f = -87 - -86. Let x be 30/(-4)*((-1292)/(-6))/f. What are the prime factors of (-1)/(-2) + (x/2)/5?
2, 3
Let m(j) = 8*j - 18. Let l be m(-6). Let f = l + 36. What are the prime factors of 79 - (f/5)/3?
3
Suppose h + 3*o - 11 = -0, 4*h - 3*o - 29 = 0. Suppose 0 = -h*f + 13*f - 215. What are the prime factors of f?
43
Suppose 3*z = r + 10056, r = 2*z - 2*r - 6711. What are the prime factors of z?
3, 1117
Let n = 21231 - 18531. What are the prime factors of n?
2, 3, 5
Let d(b) = b**3 - 26*b**2 - 92*b + 1677. List the prime factors of d(50).
57077
Suppose 5*h + q - 74067 = 0, -4*h - q + 26500 = -32753. What are the prime factors of h?
2, 3, 823
What are the prime factors of 103548/8*(276/(-690))/(6/(-50))?
5, 8629
Let u be (-1)/(-3) - 60/(-36). Suppose u*t = -3*t - 10. What are the prime factors of (-9 - t/1)*(-5 - 4)?
3, 7
Suppose -80*h - 33543 + 1054903 = 0. List the prime factors of h.
17, 751
Suppose -166 = -4*n + 655 - 97. What are the prime factors of n?
181
Suppose 5*m + 16 = 3*b - 19, 0 = -5*b + 3*m + 69. Let g(k) = 35*k - 1048. Let x be g(30). Suppose o - 129 = 4*r, -b = x*r + r. What are the prime factors of o?
109
What are the prime factors of (39934/2435)/((-4)/(-16970))?
41, 1697
Suppose 4613 + 6074 = 3*h - 2*t, 0 = 5*h + 3*t - 17780. What are the prime factors of h?
3559
Let l(j) = -j**2 + 31*j + 109. Let r be l(33). Suppose 7*s + v = 6*s + r, -2*v = 3*s - 132. List the prime factors of s.
2, 23
Suppose f - 8 + 7 = 0. Let j be 12*(28/12 + f). Suppose -o - j = -6*o. List the prime factors of o.
2
Suppose 0 = -2*f - 5*h + 2612, f - 534 = 4*h + 811. List the prime factors of f.
1321
Let g be 1142/(-2) + -2 - 1. Let u = -356 - -344. What are the prime factors of 8/48 + g/u?
2, 3
Suppose -3*b + 3*x = -12, -b = -0*b + 3*x + 12. Let r(s) = 54*s**2 - s. Let z be r(-1). Suppose b = -n, -3*n + z = 2*v - 9. What are the prime factors of v?
2
Suppose 2*y - i - 29 = 0, y = -4*y + 3*i + 75. Suppose 4*p - 20 = 0, 4*a - 10*p = -y*p + 1626. List the prime factors of a.
2, 101
Suppose 31 = 4*n + t - 7, -5*t - 17 = -3*n. Let y(l) = -4 + 33*l**2 - 34*l**2 - 15*l + 4 - n. List the prime factors of y(-10).
41
Let o(f) = 4*f**2 - 90*f + 162. What are the prime factors of o(40)?
2, 1481
Let w(t) = -143*t + 16. Let b be 2/(-10) - 72/15 - -4. What are the prime factors of w(b)?
3, 53
Let m be (-22)/18 + 20/90. What are the prime factors of ((-18)/12)/(3*m/1036)?
2, 7, 37
Let l(c) = 464*c + 7990. List the prime factors of l(69).
2, 83, 241
Let o = -818 + 1556. Suppose -5*v + o + 7 = 0. Let s = v - 69. List the prime factors of s.
2, 5
Let k be -2 - ((-9)/18)/(2/260). Suppose -74 + 11 = -3*q. Let m = k - q. What are the prime factors of m?
2, 3, 7
Let r = 667 - 604. What are the prime factors of 2/9 + 37534/r?
2, 149
Suppose 54*x + 24416 = 62*x. List the prime factors of x.
2, 7, 109
Suppose j - n = -60, 2*n = -j - 22 - 44. Let t = 67 + j. Suppose -3*q + t = -52. List the prime factors of q.
19
Let z(b) = -94*b + 122. Let l be z(9). Let c = l + 1536. List the prime factors of c.
2, 7, 29
Let r = 59 + -56. Let l be 0/(-1*(-2 + r)). Suppose 3*d - 1 = -2*x, -3*d = -x - l + 5. List the prime factors of x.
2
Suppose -1633 = -9*y - 2308. Suppose 2*j = -3*d + 866, d - 2*j = -0*d + 278. Let x = d + y. What are the prime factors of x?
211
Suppose -720*t + 97959 = 5*i - 723*t, -4*i = -5*t - 78349. List the prime factors of i.
2, 3, 23, 71
Let j = 49 - 15. Let s = -26 + j. Suppose 0 = s*o - 4*o - 160. What are the prime factors of o?
2, 5
Let v(j) = -26*j**3 + 8*j**2 + j - 11. Let n be v(-3). Let s = 1446 - n. List the prime factors of s.
2, 7
Suppose 21*p = 15*p + 120. Let r = -8 + p. What are the prime factors of (-28)/r*(-2 - 34)?
2, 3, 7
Let l(f) = -f**3 - f**2 + 4*f + 4. Let p be l(-2). Suppose -g - d - 5 = -p*d, d = -2*g - 6. List the prime factors of 59 + (0/(-1) - g).
2, 3, 5
Suppose -2*t + 82 = d - 1497, 0 = 3*t + d - 2369. List the prime factors of t.
2, 5, 79
Suppose 3*g - s = g + 1, 5*g - 7 = s. Suppose 767 = g*x + d, -4*d + 0*d - 20 = 0. What are the prime factors of x?
2, 193
Let b(w) = -208*w - 1535. List the prime factors of b(-8).
3, 43
Suppose -1702108 = -2*y - 10*y - 22*y. List the prime factors of y.
2, 25031
Suppose 2*j = -3*r + 11, 4*j - 12 = -5*r + 3. Let a(l) = -8*l + 3*l**2 - l - r*l**2 + 5*l**2. What are the prime factors of a(12)?
2, 3
Suppose 13*g = 5*g + 3032. Let q = 762 - g. What are the prime factors of q?
383
Suppose r + 2 = 0, 0 = 4*f + 4*r + 1987 - 831. Let h = f + 1324. List the prime factors of h.
17, 61
Suppose 0*z + 88 = 5*x + 3*z, 2*x + z = 36. Let q be (-177)/(((-48)/x)/4). Let i = q - 198. What are the prime factors of i?
97
What are the prime factors of (-5)/5*(39 + -23515 + 10/2)?
7, 479
Let g be (-48190)/55 + (-14)/(-77). Let r = g + 1237. What are the prime factors of r?
19
Let z(a) = -5*a**2 - 11*a - 13. Let o(p) = -p**2 - p + 1. Let u(q) = 4*o(q) - z(q). Let y be u(-6). Suppose -28 + 105 = y*x. List the prime factors of x.
7
Suppose 0 = -113*y + 84125 + 42661. List the prime factors of y.
2, 3, 11, 17
Suppose 7*x - 4*x = 6. Let g be -2*x/(-1)*(-28)/8. Let w(s) = -4*s + 20. What are the prime factors of w(g)?
2, 19
Let y(o) = -o**3 + 11*o**2 + 17*o + 18. Let p = -236 - -247. What are the prime factors of y(p)?
5, 41
Let a(s) = 24*s**2 - 28*s + 51. List the prime factors of a(15).
3, 13, 43
Let q(r) = 303*r**3 - 9*r + 8. Let f = 249 - 248. List the prime factors of q(f).
2, 151
Let r(y) be the first derivative of 135*y**2 - 117*y + 121. What are the prime factors of r(4)?
3, 107
What are the prime factors of -4 + 83400 - (5 + -18)?
3, 27803
Suppose k - 25 = -4*k. Suppose -k*x + 1257 = -683. Suppose 5*i - s - 264 = 0, 5*i + 5*s + 148 = x. List the prime factors of i.
2, 13
Let q(a) = 1068*a - 2546. What are the prime factors of q(9)?
2, 3533
Let z = 10862 - -562. List the prime factors of z.
2, 3, 7, 17
Suppose 30 = -2*g + 416. Let l = 807 - g. What are the prime factors of l?
2, 307
Let k(i) = i**3 - 13*i**2 + 9*i + 11. Let g(b) = -b + 24. Let r(d) = 12*d**3 - d**2 + d - 1. Let a be r(1). Let t be g(a). List the prime factors of k(t).
2
|
{
"pile_set_name": "DM Mathematics"
}
|
in increasing order.
s, k, v
Suppose 9 = -2*x + 1, -5*x - 26 = -2*a. Suppose -2*c = -a + 5. Sort 4, 5, c in increasing order.
c, 4, 5
Let w be (2*(-3)/(-4))/3. Let u = 28 - 24. Let r be 5*u*3/45. Sort -0.4, w, r in descending order.
r, w, -0.4
Let c = 145 - 144.8. Put -4, 1, c, 5 in descending order.
5, 1, c, -4
Let j = 0 + -7. Let i = 7.07 + j. Let k = -2066 - -2070. Sort k, i, 2.
i, 2, k
Let l = -2/5 + -4/15. Let h = 14 + -15. Sort 0, l, h in ascending order.
h, l, 0
Let p = -163 + 161. Let i = -0.93 + -0.07. Sort p, i, -0.3.
p, i, -0.3
Let n = 210.8 - 87.1. Let p = n + -124. Sort 0.4, 4, 3/7, p.
p, 0.4, 3/7, 4
Let i = 68 - 73. Sort i, 2, -2 in descending order.
2, -2, i
Suppose 66 - 38 = 7*o. Sort o, -3, 2, 5 in increasing order.
-3, 2, o, 5
Let h(t) = -7*t + 10. Let b be h(2). Let j = -6 - 4. Let f = -5 - j. Put -1, b, f in increasing order.
b, -1, f
Let w = 1230 + -1230.5. Sort 1, w, 62 in descending order.
62, 1, w
Let y(i) = i**2 - 17*i + 28. Let w be y(15). Let m = 8 + -12. Put m, -0.1, w in decreasing order.
-0.1, w, m
Let y = -7 - -6.7. Let q = -0.92 + -0.08. Sort y, q, 0.3.
q, y, 0.3
Let s = -0.066 - -0.166. Let x be (2/6)/(5/9). Sort s, -2/11, x in ascending order.
-2/11, s, x
Let t(m) = m**3 - 4*m**2 + 2*m + 3. Let i be t(3). Suppose -4*q + 4*z + 18 = -18, 2*q + 3*z = -2. Suppose -q*x + 10 = -3*x. Sort -4, i, x in decreasing order.
x, i, -4
Suppose -3*j - 178 = 13*t - 14*t, -3*j = -5*t + 194. Sort 0, -1, j in descending order.
0, -1, j
Let i be (-32)/20*5/(-2). Let d = -9 + 5. Let k be 1*-2 + (15 - 12). Sort k, d, i in increasing order.
d, k, i
Let f = 196 - 194. Sort f, 5, -14 in descending order.
5, f, -14
Let x = 42 + -38. Suppose 4*z + 19 = 7. Sort x, 8, z in decreasing order.
8, x, z
Let g = 0.47 - 0.57. Let v = -1243/7 + 178. Put v, -1/2, 2/3, g in decreasing order.
2/3, v, g, -1/2
Suppose 2*z = 3*t - 9, -3*t - 2*t + 15 = -2*z. Suppose b + 6 = w, z = -w + 5*b - 2 + 12. Let p be (-84)/30 - 1/w. Put p, 3, 4 in ascending order.
p, 3, 4
Let v = -14/15 - -32/45. Put v, 0, 0.4, -2/63 in decreasing order.
0.4, 0, -2/63, v
Let v = 79.8 + -64. Let n = 16 - v. Let x be (-2)/8*8/22. Sort -2, x, n in increasing order.
-2, x, n
Let h = -3.375 + -0.205. Let c = h - -3.4. Let z = -1.82 + c. Sort -5, 0.2, z.
-5, z, 0.2
Let j = -6 + 4. Let b = -59 + 45. Let v = -10 - b. Put j, -3/2, v in decreasing order.
v, -3/2, j
Suppose 54 = 5*m + c, 2*m - 5*c = 3*m - 6. Suppose -4*d - 9 = m. Suppose 2*i = 4*i - 6. Sort d, i, -4 in decreasing order.
i, -4, d
Suppose 25 = -n + 6*n. Let g = 100 - 100.029. Let y = 5.971 - g. Sort y, n, 2 in decreasing order.
y, n, 2
Let c = -293 + 300. Put c, -9, -3, -2 in ascending order.
-9, -3, -2, c
Suppose -3*t - 2 = -8. Let g be 1 - t*(3 - 4). Let i be (12/g)/(-6 - -20). Sort -2, -3/5, i in ascending order.
-2, -3/5, i
Suppose 0 = -5*r - 4 - 6. Let o be 17/(-4)*(-8 + 1 + 3). Suppose 15*m - o*m - 6 = 0. Put m, r, -5 in ascending order.
-5, m, r
Suppose -5*x = -2*p + 3*p - 12, -2*x + 12 = 4*p. Sort 41, 3, x in ascending order.
x, 3, 41
Let h = -4 - -18. Let w = h - 22. Let m be 6/w - 18/8. Sort 5, m, -1 in ascending order.
m, -1, 5
Suppose 6 = 3*p - 3. Let u be (-6)/(-9) - (4 + (-8)/6). Put p, -4, u in decreasing order.
p, u, -4
Let j = -257/20 + 58/5. Let f = 2 - 1.6. Sort -3, j, f.
-3, j, f
Let c = -6 + 11. Sort -5, c, 0, 23.
-5, 0, c, 23
Let d be 24/(-16) - (-152)/80. Sort -25, 0.5, d in increasing order.
-25, d, 0.5
Suppose -3*j - 4 = -19. Let r = -2 - -4. Suppose 12 - 36 = -3*v + 3*q, -r = -4*v - 2*q. Sort v, 1, j in increasing order.
1, v, j
Let h = 38 - 54. Let d be (h/(-20))/((-1)/5). Let x = -339/5 + 68. Put 2, d, x in descending order.
2, x, d
Suppose -2*c = -4*u - 0 + 6, -4*c - 3 = -5*u. Let f be ((-10)/2)/(2 - c). Put f, 1, -2, -3 in ascending order.
-3, -2, 1, f
Suppose -2*l - 9 = -d, -3*l - 10 = d + d. Put -2, 2, d, -3 in increasing order.
-3, -2, d, 2
Suppose -5*g + 8*g = 9. Suppose 4 = -4*k + 2*d + 2*d, -g*k = 2*d - 12. Let j be 9/3 + -2 + 0. Put k, j, 11 in descending order.
11, k, j
Let l = -197/455 + -9/65. Sort -4, l, -0.2, 1/6.
-4, l, -0.2, 1/6
Let r be -4 + 70/7 + -3 + 0. Put 12, r, -3 in ascending order.
-3, r, 12
Let w = 0.4518 + 0.0482. Let u = -0.1 + -0.9. Sort 0.03, w, u.
u, 0.03, w
Suppose 5*j - 55 = 25. Let i = j - 6. Suppose 2*d + 3*r - 7 = 0, -2*d + 6*r = 2*r. Put d, 0, i in descending order.
i, d, 0
Suppose -v = v + 2. Let r be 454/140 + (-4 - -1). Let j = 9/14 - r. Sort j, -5, v in increasing order.
-5, v, j
Let p = -119.78 + 118. Let q = -0.78 - p. Put -5, 4, q in increasing order.
-5, q, 4
Let n(m) = m**3 + 5*m**2 + 4*m + 3. Let i be n(-4). Let u(t) = -4*t**2 - 25*t - 28. Let y be u(-5). Put -5, i, y in increasing order.
-5, y, i
Let a be 1 - -1 - (-2 - -1). Suppose 5*r + 25 = -g - 0*r, 15 = -3*g - a*r. Suppose 4*s + s + 20 = g. Put -2, s, -5 in descending order.
-2, s, -5
Suppose 5*o + 10 = -0*x + x, 5*o = 5*x - 30. Suppose 0 = r - 5 + 6. Put r, 1, -5, x in decreasing order.
x, 1, r, -5
Let m = 45 + -32. Let d = -8 + m. Sort d, 4, -11 in decreasing order.
d, 4, -11
Let l be (0/5 - 4)/(-6). Put -1, l, -2/3 in decreasing order.
l, -2/3, -1
Let h = -240 + 244. Let s be (-1)/(-2)*(17 - 11). Sort h, -5, 2, s.
-5, 2, s, h
Suppose 2*a + 55 = 5*q, 4*a = -5*q - 0*q + 55. Suppose 4 = q*o - 10*o. Suppose -s = -4*l - 18, -3*s - 15 = 3*l + 6. Sort -3, o, l in ascending order.
l, -3, o
Let i be (4/10)/(92/20). Let c = 0.022 + 0.054. Let q = -4.924 - c. Sort i, q, 0.5 in increasing order.
q, i, 0.5
Suppose 4*s - 3*s = 2. Suppose 0 = m - 4*d + 6, s*d = 4*m - 3*d + 13. Sort 2, -3, m in decreasing order.
2, m, -3
Let o = -289840/181953 - 10/7911. Let y = -6/23 - o. Let t = -648/13 - -50. Sort y, t, 0.2.
t, 0.2, y
Let k(m) = 3*m**2 - 9*m + 8. Let o be k(3). Let x(p) = -5*p**2 - 3*p - 2. Let i be x(-1). Sort o, 1, i.
i, 1, o
Let p = 12581/11 + -1141. Sort 0.3, 2/3, p, 3 in descending order.
3, p, 2/3, 0.3
Let b(r) = -2*r**2 + 4*r - 3. Let c be b(2). Let h = c + 2. Let q be (-2)/5*(1 - 2). Sort h, 3/4, q in decreasing order.
3/4, q, h
Suppose 607 = -10*o - 1113. Let g be 8/(-36) + o/36. Let q(z) = z**2 - z + 1. Let t be q(2). Sort 2, g, t in descending order.
t, 2, g
Let n(a) = 2*a - 12. Let v be n(8). Let y = 20 + -19.6. Let h = y + 0.1. Put -5, v, h in increasing order.
-5, h, v
Let y = -8 + 8.2. Let k = -0.0563 - 4.9437. Let b = 4.1 - 0.1. Sort b, k, y in ascending order.
k, y, b
Suppose -5*y + 3 = 18, -5*y - 27 = -3*t. Suppose -2*s + s + 4*r + 6 = 0, 5*s - 3*r + 4 = 0. Put s, -3, t, 1 in ascending order.
-3, s, 1, t
Let v = 400 - 423. Sort v, -3, 0 in decreasing order.
0, -3, v
Let b = -4 + 10/3. Let s = 4/3 + b. Sort s, 0, -0.2 in decreasing order.
s, 0, -0.2
Let j = 8 - 4. Let c = 17 - 14. Suppose c*r - 10 = -2*r. Put 3, r, j in increasing order.
r, 3, j
Let q = -5 + 7. Let n(d) = -q*d - d**3 - d + 5 + 4*d. Let k be n(0). Put k, 3, -3 in descending order.
k, 3, -3
Let m be 2/(-6) + (-4 - (-102)/(-18)). Sort 3, m, -3, -5 in decreasing order.
3, -3, -5, m
Let n = -123/92 + 25/23. Sort 0.2, -2, n, 4/9 in descending order.
4/9, 0.2, n, -2
Let z be (16/5)/(-2)*10/(-4). Let w = -22/5 + z. Sort -1/2, -5, 0.04, w in increasing order.
-5, -1/2, w, 0.04
Let d = -0.12 + -0.18. Let g = -5.2 - -0.2. Let n = g + 5.05. Sort -3, d, n.
-3, d, n
Suppose 0 = -30*l + 105 + 15. Suppose -13 = 2*r - 3. Suppose -8 = -k - 2*p, -2*k + 9 = k + 3*p. Sort l, k, r in decreasing order.
l, k, r
Let p be 2/(-3) - 5/(-3). Let m be -5*(1 + -1 + p). Suppose 0 = -34*w + 17*w + 17. Put m, w, 5 in increasing order.
m, w, 5
Let s = -0.9 + -4.1. Let g = 304 - 305. Put g, s, 0.1 in descending order.
0.1, g, s
Suppose -7*t = 4*t - 55. Suppose 0 = -2*i + 6*i. Suppose i = -3*r + 3*v - 3, -5*v = 2*r + r - 29. Sort t, r, -5.
-5, r, t
Let y = 28 + -55/2. Sort 0.05, y, -4 in descending order.
y, 0.05, -4
Let z be ((-50)/20)/(-2 - (-20)/8). Let y = -4 + 9. Suppose u - 1 + y = 0. Sort 2, u, z in decreasing order.
2, u, z
Let o be 6/(-9) + 39/(-9). Suppose 56*m - 227 = -451. Sort o, 0, m.
o, m, 0
Suppose 0 = -2*l - 0*p + 2*p + 2, 3*l - 31 = -4*p. Suppose 2*n = 2*n + 5*n. Sort l, n, 1.
n, 1, l
Let y = 34 - 32. Let t(d) = -d**2 + d**2 - d**2 + 15*d + 0*d**y - 12. Let s be t(14). Put 5, 0.3, s in decreasing order.
5, s, 0.3
Let i = 43 - 43.1. Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-2*b**2 + 14
Let w(x) = 10*x - 25. Let a(v) = -185*v. Calculate w(a(n)).
-1850*n - 25
Let t(w) = -w. Suppose 24*b = 19*b. Let j(r) be the second derivative of 0*r**2 + r + 0 + b*r**3 + 17/12*r**4. Calculate j(t(o)).
17*o**2
Let u(g) = -9765*g**2. Let o(n) = 18*n**2. Determine u(o(y)).
-3163860*y**4
Let j(c) = 23*c - 34. Let i(v) = 3*v**2 + 14. Calculate j(i(m)).
69*m**2 + 288
Let l be (-24)/(-18)*(-1 - -7). Let j(v) = 15*v - l*v - 5*v. Let f(z) be the third derivative of -13*z**4/24 + 3*z**2. What is j(f(a))?
-26*a
Let k(m) = 3*m. Let c(h) be the third derivative of 19*h**5/60 - 220*h**2. What is k(c(x))?
57*x**2
Let o(i) = 12*i**2. Let c(a) be the first derivative of -a**5/20 - 24*a**2 - 25. Let v(g) be the second derivative of c(g). Calculate o(v(y)).
108*y**4
Let s(b) = 1797*b. Let z(y) = -10*y**2 - 2*y. Calculate s(z(u)).
-17970*u**2 - 3594*u
Let d(r) = -101*r**2. Let y(w) = 45*w**2. Let p(v) = -4*d(v) - 9*y(v). Let o(n) = -209*n**2. Calculate o(p(c)).
-209*c**4
Let j(k) be the second derivative of k**4/4 + 2*k - 3. Let v(r) = r**2 + 2. Let h(s) = -s**2 - 1. Let f(a) = 2*h(a) + v(a). Determine f(j(d)).
-9*d**4
Let o(l) = 0*l + 4*l - 3*l. Let m(g) be the third derivative of -7*g**4/24 + 430*g**2. Determine o(m(x)).
-7*x
Let r(g) = 47999 - 47999 - g. Let t(o) = 813*o**2. Calculate r(t(w)).
-813*w**2
Let j(a) = 9*a - 865 + 865. Let q(t) = -13*t**2. What is q(j(v))?
-1053*v**2
Let a(k) = 14538*k**2. Let s(w) = 11*w + 4. What is s(a(u))?
159918*u**2 + 4
Let a(y) = -y**2 - 12508*y. Let b(w) = 2*w. Calculate b(a(p)).
-2*p**2 - 25016*p
Let l(d) be the first derivative of -d**3 + 3. Let w(f) be the third derivative of 1/24*f**4 + 10*f**2 + 0 + 0*f + 0*f**3. Determine l(w(b)).
-3*b**2
Let i(g) be the first derivative of -7*g**3/2 - 36*g - 19. Let v(y) be the first derivative of i(y). Let r(b) = 2*b + 2 - 2. What is r(v(w))?
-42*w
Let f(b) = 10*b. Let g(v) be the first derivative of -5*v**3/3 + v**2 + 2*v + 14. Let z(k) = 16*k**2 - 7*k - 7. Let m(j) = 7*g(j) + 2*z(j). Calculate m(f(i)).
-300*i**2
Let n(b) be the second derivative of -2*b**4/3 + b**3/3 + 92*b. Let v(c) = -c. Determine v(n(w)).
8*w**2 - 2*w
Let k(i) = 3*i. Let a(b) = -41*b - 6. Let f(r) = 14*r + 2. Let s(n) = 4*a(n) + 14*f(n). Give s(k(p)).
96*p + 4
Let u(c) be the third derivative of -c**5/60 + 47*c**4/24 - 187*c**2. Let y(x) = -2*x**2. Calculate y(u(g)).
-2*g**4 + 188*g**3 - 4418*g**2
Let x(u) = -u. Let z(i) = i - 66330. Determine x(z(d)).
-d + 66330
Let k(r) be the second derivative of -r**3 + 41*r + 2. Let t(o) = -3*o. What is t(k(p))?
18*p
Let i(v) = -33*v + 28*v + 6*v + 0 + 0. Let y(k) = 4*k. Calculate i(y(c)).
4*c
Let c(p) be the third derivative of -1/24*p**4 + 0*p + 0*p**3 + 68*p**2 + 0. Let f(z) = -19*z - 2*z + 4*z. Calculate f(c(o)).
17*o
Let q(h) be the third derivative of h**5/60 + 43*h**2. Let y(j) = -10*j**2 - 1. What is q(y(f))?
100*f**4 + 20*f**2 + 1
Let t(l) = -2*l. Let f(v) be the third derivative of -15*v**4/8 - 487*v**2. Calculate t(f(m)).
90*m
Let a(g) = 2*g**2. Let i(p) = p + 2. Let q(r) = 18*r - 18. Let s(m) = -45*i(m) - 5*q(m). What is s(a(w))?
-270*w**2
Let q(n) = 3*n + 0*n + 2 + 0*n. Let x(p) = 16*p + 11. Let s(m) = -22*q(m) + 4*x(m). Let w(z) = 412*z + 2*z**2 - 412*z. Calculate s(w(u)).
-4*u**2
Let u(g) = 132*g - 77. Let y(b) = -7*b + 4. Let q = 215 + -138. Let c(h) = q*y(h) + 4*u(h). Let o(r) = r**2. Give c(o(z)).
-11*z**2
Let c(g) = 5*g**2 + 3*g. Let z(p) be the first derivative of -p**3/3 - 120. Give c(z(y)).
5*y**4 - 3*y**2
Let l(h) = -283*h**2. Let k(j) = -6*j**2 - 4*j + 10. Let y(x) = 13*x**2 + 10*x - 25. Let w(r) = 5*k(r) + 2*y(r). Calculate l(w(c)).
-4528*c**4
Let p(k) = -444383*k. Let c(a) = 2*a. Give p(c(t)).
-888766*t
Let n be (-4)/(-24)*3/3. Let r(p) be the second derivative of 0*p**3 + 0*p**2 + 0 + 5*p - n*p**4. Let d(h) = -4*h. Give d(r(t)).
8*t**2
Let s(l) = -4*l. Let x(v) be the second derivative of 5*v**3/6 - 5*v + 1. What is s(x(a))?
-20*a
Let b(n) = -n**2. Let w(i) = -18*i + 5. Let h(p) = -45*p + 12. Let o = -60 + 65. Let z(k) = o*h(k) - 12*w(k). What is z(b(g))?
9*g**2
Let s(q) be the second derivative of -q**4/6 - 99*q - 2. Let k(n) = 150*n. What is s(k(a))?
-45000*a**2
Let d(f) = 14*f**2 - 715*f. Let x(c) = -2*c**2. Calculate d(x(q)).
56*q**4 + 1430*q**2
Let m(n) = 42*n**2 + 550*n. Let u(y) = -y. Give m(u(i)).
42*i**2 - 550*i
Let r(m) = -1086*m**2 - 1103*m**2 + 2117*m**2. Let u(t) = 3*t**2. What is r(u(j))?
-648*j**4
Let u(i) = -i. Let c(k) be the first derivative of -2 + 0*k + 1/2*k**2. Let t(y) = c(y) + 2*u(y). Let f(w) = -w**2. What is f(t(q))?
-q**2
Let n(z) = 2*z. Let l(w) = -6 - 2 + 29 - 25 + 68*w. Give l(n(x)).
136*x - 4
Let f(c) be the first derivative of 19*c**5/60 - 15*c**2/2 + 18. Let k(y) be the second derivative of f(y). Let a(p) = -2*p**2. Determine a(k(t)).
-722*t**4
Let a(h) = 380*h - 24. Let i(s) = -379*s + 18. Let r(c) = -3*a(c) - 4*i(c). Let d(k) = -2*k**2. What is d(r(o))?
-282752*o**2
Let o(z) = 3*z**2 - 198*z + 16*z**2 + 198*z. Suppose 2*i = 4*i - 4. Let b(n) = 4*n**2 + 0*n**i - 6*n**2. Calculate b(o(m)).
-722*m**4
Let d(f) = -f - 8. Let w(j) = -42*j + 52. What is w(d(o))?
42*o + 388
Let u(p) = -4449*p. Let c(o) = 22*o. Give u(c(b)).
-97878*b
Let a(z) = -62*z**2. Let q(n) be the second derivative of -n**7/2520 + 25*n**4/12 + 21*n. Let b(w) be the third derivative of q(w). Calculate b(a(t)).
-3844*t**4
Let v(t) = -4*t. Let g(j) = 7 - 7 - 2*j - 7*j - 21*j. Determine g(v(s)).
120*s
Let a(d) = 10*d**2. Let j(y) be the third derivative of 0*y + 0 + 0*y**3 + 0*y**4 - 6*y**2 + 1/60*y**5. What is a(j(t))?
10*t**4
Let i(g) = -635*g**2 - 6*g + 1. Let t(m) = 5*m. Calculate i(t(o)).
-15875*o**2 - 30*o + 1
Let k(v) = 9*v. Let i(o) = -2*o**2 - 7. Let m = 79 + -74. Let c(g) = -g**2 - 5. Let q(l) = m*i(l) - 7*c(l). What is k(q(p))?
-27*p**2
Let j(r) = -5*r**2 + 4*r. Let w(g) = 4*g**2 - 3*g. Let k(y) = -3*j(y) - 4*w(y). Let l = 22 + -20. Let f(a) = 11 - 11 + l*a. Give f(k(t)).
-2*t**2
Let n(l) = 24*l**2. Let z(u) be the second derivative of -u**3/6 + 23*u. What is z(n(o))?
-24*o**2
Let z(k) = 60*k - 122*k + 61*k. Let p(a) be the first derivative of a**3/6 - 2*a + 1. Let r(w) be the first derivative of p(w). Determine r(z(o)).
-o
Let m(l) = -145755 + 145755 - 2*l. Let x(t) = -15*t - 2. Determine m(x(q)).
30*q + 4
Let d(c) = 4*c - 9. Let r(g) = g - 3. Let t(j) = 4*d(j) - 12*r(j). Let n(f) = 180*f. Calculate t(n(p)).
720*p
Let q(s) be the first derivative of -s**2/2 + 323. Let i(d) = -6*d**2 + 5. Let c(b) = b**2 - 1. Let n = -5 - 0. Let p(k) = n*c(k) - i(k). Calculate q(p(m)).
-m**2
Let f(q) = -q. Let i(d) = 11*d. Let p(c) = -c + 2*c + 5*c. Suppose 3*o + 0*j = -4*j - 7, 0 = 4*o - 5*j + 30. Let t(r) = o*p(r) + 3*i(r). Determine f(t(s)).
-3*s
Let q(u) = 3*u**2. Suppose 4*w - 20 = k - 22, 0 = -2*w - k + 2. Let x(z) be the third derivative of 0*z - 5*z**2 + w*z**3 - 1/3*z**4 + 0. Determine q(x(f)).
192*f**2
Let p(l) be the first derivative of -21*l**3 + 18. Let c(b) = -b + 0*b + 25 - 25. What is p(c(y))?
-63*y**2
Let t(k) = -3*k. Let s(v) = -3561*v**2. Calculate s(t(j)).
-32049*j**2
Let a(z) = 19*z**2. Let y(w) be the first derivative of -w**3/3 + 3. Let q(f) = a(f) - 2*y(f). Let i(x) = -x. Give q(i(l)).
21*l**2
Let p(f) = 159*f**2. Let x(q) = -3*q + 69. Calculate x(p(v)).
-477*v**2 + 69
Let d(q) = 22*q. Let r(o) = -6*o. Let z(c) = -2*d(c) - 7*r(c). Let y(p) = p**2 + 1. Determine y(z(h)).
4*h**2 + 1
Let p(t) = 7*t. Let i(m) = 154471*m. Calculate i(p(n)).
1081297*n
Let z(u) = -4*u**2 - 7*u. Let d(q) = 4*q**2 + 6*q. Let c(m) = 7*d(m) + 6*z(m). Let s(v) = -309*v**2. What is c(s(k))?
381924*k**4
Let s(a) be the first derivative of a**2 + 63. Let q(z) be the first derivative of 7*z**3 + 2. Give q(s(o)).
84*o**2
Let j(k) be the second derivative of 7*k + 0 + 1/3*k**3 + 0*k**2. Let p(f) = -26*f**2. Calculate j(p(u)).
-52*u**2
Suppose 2*z - 12 = -z. Let r(t) = -t + t - z*t**2. Let y(l) = 8*l - 8*l + l. Give y(r(a)).
-4*a**2
Let d(a) = 1120*a**2. Let x(b) = 253*b**2 - 2*b. What is x(d(c))?
317363200*c**4 - 2240*c**2
Let x(r) = 2*r - 205. Let d(z) = 2*z**2 - 31*z. Calculate x(d(n)).
4*n**2 - 62*n - 205
Let c(m) = 84*m. Let u(l) = 297*l. Calculate c(u(q)).
24948*q
Let q(k) = -36*k - 10. Let a(r) = -11*r - 3. Let t(m) = 10*a(m) - 3*q(m). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
of picking 4 x.
0
Calculate prob of picking 4 k when four letters picked without replacement from {s: 1, n: 6, k: 11}.
11/102
Three letters picked without replacement from olmoxyyw. What is prob of picking 2 l and 1 y?
0
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from jju.
2/3
Two letters picked without replacement from lpplpl. Give prob of picking 2 l.
1/5
Calculate prob of picking 3 h and 1 z when four letters picked without replacement from zzzzzhhzhhhzzzhzhzz.
35/323
Four letters picked without replacement from scncnncccn. Give prob of picking 1 s and 3 c.
1/21
Two letters picked without replacement from {a: 16, n: 2}. What is prob of picking 1 a and 1 n?
32/153
What is prob of picking 2 k when two letters picked without replacement from qkykhqqqq?
1/36
Calculate prob of picking 2 b when two letters picked without replacement from btyyyiobtpyi.
1/66
What is prob of picking 2 f and 2 z when four letters picked without replacement from {p: 1, y: 3, z: 7, f: 3}?
9/143
Calculate prob of picking 3 d when three letters picked without replacement from {j: 14, d: 5}.
10/969
Three letters picked without replacement from qyqbqqqpry. What is prob of picking 1 b, 1 y, and 1 p?
1/60
Two letters picked without replacement from {r: 1, d: 2}. What is prob of picking 2 d?
1/3
Calculate prob of picking 1 z and 1 g when two letters picked without replacement from {g: 4, u: 1, z: 1, q: 11}.
1/34
What is prob of picking 1 r and 1 m when two letters picked without replacement from {b: 3, r: 3, m: 1, w: 2, e: 1, f: 1}?
3/55
What is prob of picking 2 z when two letters picked without replacement from gzzqzqq?
1/7
Four letters picked without replacement from {s: 1, f: 2, d: 12, u: 4}. What is prob of picking 1 s, 1 u, and 2 d?
22/323
Four letters picked without replacement from caqqoqaioiokaoaiq. What is prob of picking 3 i and 1 a?
1/595
Two letters picked without replacement from {w: 1, y: 1, c: 1, l: 2, d: 1, t: 1}. What is prob of picking 1 w and 1 t?
1/21
Calculate prob of picking 1 l and 1 g when two letters picked without replacement from ldldllgd.
1/7
What is prob of picking 2 n and 2 o when four letters picked without replacement from nookuonvuuukdnuunuko?
12/1615
What is prob of picking 1 s and 1 j when two letters picked without replacement from {j: 3, l: 3, k: 5, d: 1, s: 6, m: 1}?
2/19
What is prob of picking 1 e, 1 x, and 1 i when three letters picked without replacement from {i: 1, y: 3, x: 5, e: 4, j: 1}?
5/91
Four letters picked without replacement from {n: 1, a: 3, j: 2, f: 5, x: 1}. Give prob of picking 3 f and 1 n.
2/99
What is prob of picking 1 q and 1 m when two letters picked without replacement from {e: 1, m: 1, z: 1, q: 1, h: 1}?
1/10
Calculate prob of picking 2 m and 1 x when three letters picked without replacement from xxfxxxmmxx.
7/120
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from jzjjdhqqj.
1/21
Calculate prob of picking 2 t and 2 r when four letters picked without replacement from {m: 1, r: 2, h: 1, l: 1, t: 2}.
1/35
Three letters picked without replacement from {z: 3}. What is prob of picking 3 z?
1
Four letters picked without replacement from vmyamayxtaam. Give prob of picking 1 t, 1 a, and 2 y.
4/495
Three letters picked without replacement from {z: 10}. What is prob of picking 3 z?
1
What is prob of picking 3 u and 1 f when four letters picked without replacement from {f: 3, m: 1, u: 3, z: 2, l: 6}?
1/455
What is prob of picking 2 o when two letters picked without replacement from ooooooooo?
1
Four letters picked without replacement from wwwjnnw. What is prob of picking 4 w?
1/35
Calculate prob of picking 4 j when four letters picked without replacement from {j: 7}.
1
Three letters picked without replacement from opopoo. What is prob of picking 1 p and 2 o?
3/5
Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ldllllllldll.
9/22
What is prob of picking 1 y, 1 n, and 1 o when three letters picked without replacement from oossnysysysjyyyjsys?
14/969
Calculate prob of picking 1 g, 1 z, and 1 b when three letters picked without replacement from {b: 2, g: 3, i: 2, z: 1, q: 4}.
3/110
What is prob of picking 1 n and 1 z when two letters picked without replacement from bznswzp?
2/21
Four letters picked without replacement from ffffffffffffv. Give prob of picking 3 f and 1 v.
4/13
What is prob of picking 2 e and 2 w when four letters picked without replacement from wewnwwwwnwe?
7/110
Calculate prob of picking 1 w and 1 k when two letters picked without replacement from spkkawk.
1/7
What is prob of picking 2 s when two letters picked without replacement from {y: 12, s: 3, a: 1}?
1/40
Three letters picked without replacement from {g: 3, e: 3, f: 1, w: 2, o: 2, k: 4}. What is prob of picking 1 w and 2 e?
6/455
Calculate prob of picking 1 p and 2 x when three letters picked without replacement from xwxpxxxxxxxxxxxx.
13/80
Calculate prob of picking 3 q when three letters picked without replacement from {n: 3, q: 13}.
143/280
Three letters picked without replacement from {q: 16, i: 2}. What is prob of picking 1 i and 2 q?
5/17
Two letters picked without replacement from {d: 2, n: 1, j: 1, k: 5}. What is prob of picking 1 j and 1 d?
1/18
Four letters picked without replacement from {u: 1, a: 2, d: 2, j: 6}. What is prob of picking 1 u, 2 j, and 1 d?
1/11
Two letters picked without replacement from {v: 2, x: 3, k: 2, h: 2, a: 2, p: 1}. What is prob of picking 2 k?
1/66
Calculate prob of picking 1 p, 1 v, and 1 c when three letters picked without replacement from vccprookvopp.
3/55
Four letters picked without replacement from kprwwvgrwwrvgk. What is prob of picking 2 k, 1 w, and 1 g?
8/1001
Three letters picked without replacement from {c: 7, b: 1}. Give prob of picking 1 c and 2 b.
0
Four letters picked without replacement from {l: 6, r: 4}. What is prob of picking 4 r?
1/210
What is prob of picking 4 d when four letters picked without replacement from {j: 10, d: 10}?
14/323
What is prob of picking 2 k when two letters picked without replacement from {j: 3, s: 4, k: 6}?
5/26
Three letters picked without replacement from {h: 1, g: 1, k: 1, q: 4, r: 4}. Give prob of picking 1 r, 1 h, and 1 k.
4/165
Three letters picked without replacement from puomouppm. Give prob of picking 2 p and 1 o.
1/14
Calculate prob of picking 2 k when two letters picked without replacement from {s: 2, j: 5, p: 1, w: 5, k: 5}.
10/153
Three letters picked without replacement from {c: 1, z: 4, d: 3, k: 1, a: 4, f: 6}. Give prob of picking 1 d, 1 f, and 1 z.
24/323
What is prob of picking 1 t and 1 v when two letters picked without replacement from {b: 1, d: 1, t: 1, x: 2, v: 1, y: 1}?
1/21
Two letters picked without replacement from bguugi. What is prob of picking 1 b and 1 u?
2/15
Two letters picked without replacement from {u: 18, l: 2}. Give prob of picking 2 u.
153/190
Two letters picked without replacement from {g: 1, k: 1, a: 3, b: 1, o: 3, p: 2}. What is prob of picking 1 b and 1 g?
1/55
Four letters picked without replacement from iieiiieijieieeiiiij. Give prob of picking 3 e and 1 i.
10/323
Calculate prob of picking 4 m when four letters picked without replacement from {m: 17, p: 1}.
7/9
Two letters picked without replacement from rrvmbrpvrmrbmbrrb. Give prob of picking 1 p and 1 v.
1/68
What is prob of picking 3 t and 1 i when four letters picked without replacement from ziziztiittt?
8/165
Calculate prob of picking 3 j and 1 y when four letters picked without replacement from {j: 4, y: 2, x: 4, d: 1}.
4/165
What is prob of picking 1 v, 1 q, and 1 h when three letters picked without replacement from {v: 1, k: 2, q: 1, h: 1}?
1/10
Three letters picked without replacement from kqqiiqqqkqkqkq. Give prob of picking 1 i and 2 q.
2/13
What is prob of picking 1 k and 1 l when two letters picked without replacement from {g: 8, c: 1, k: 1, s: 1, l: 1}?
1/66
Two letters picked without replacement from tfoftyftyaf. Give prob of picking 2 y.
1/55
What is prob of picking 1 e and 1 j when two letters picked without replacement from {b: 3, w: 5, j: 2, d: 5, e: 5}?
1/19
Calculate prob of picking 2 i when two letters picked without replacement from oioioigioo
|
{
"pile_set_name": "DM Mathematics"
}
|
336) + (sqrt(336) - (-2*sqrt(336) + sqrt(336)) - sqrt(336)) + sqrt(336))*-5 - sqrt(336))/(sqrt(1008) + sqrt(1008)*-2)).
12 + 16*sqrt(3)
Simplify (-1*(sqrt(2) + 1) + sqrt(2) + 4 + sqrt(72) + -1 + sqrt(242) + -4 + -1 + sqrt(242) + 2)**2.
-56*sqrt(2) + 1569
Simplify ((-4*(sqrt(119) + 2*sqrt(119)))/(sqrt(84)/sqrt(432)))**2.
88128
Simplify 0 + 5 + -3 + (-5 + 1*sqrt(931))**2 + sqrt(931).
-63*sqrt(19) + 958
Simplify ((-1*sqrt(96) - sqrt(96) - sqrt(6)) + sqrt(66)/(1*sqrt(11)))/((-1*sqrt(1936))/sqrt(8)).
8*sqrt(3)/11
Simplify -3*((sqrt(5200) - (sqrt(5200)*-2)**2) + sqrt(5200) + 4).
-120*sqrt(13) + 62388
Simplify (-2 + (2 + sqrt(425) + 4 - (-4 + -3*(sqrt(17) + sqrt(34)/sqrt(2)))))**2.
176*sqrt(17) + 2121
Simplify (-6*((sqrt(104) + sqrt(104)*1)*-1)/((sqrt(56) + sqrt(224))/sqrt(7)))**2.
208
Simplify ((sqrt(567) - (sqrt(567) + -4 + sqrt(567)))*6 + sqrt(567))*-3*-2.
-270*sqrt(7) + 144
Simplify (-3*sqrt(350)*2)/sqrt(7) + sqrt(300)/(1*sqrt(216)).
-175*sqrt(2)/6
Simplify 2*(sqrt(637) + sqrt(637) + (sqrt(637)*-1 + sqrt(637) - sqrt(637)) + -4) + ((1*sqrt(637))**2 - 2*sqrt(13)*3).
8*sqrt(13) + 629
Simplify (-3 + sqrt(931)*3 - (3*sqrt(931) - sqrt(931))*-1)**2*-3.
-69852 + 630*sqrt(19)
Simplify (-1 + (sqrt(363) - (sqrt(363)*-1 + sqrt(363)) - sqrt(363)) + (1 + sqrt(363))*3)**2*-2.
-6542 - 264*sqrt(3)
Simplify (-1*((sqrt(102) - sqrt(102)*1) + sqrt(102)) - (sqrt(102) - (sqrt(102) - sqrt(102)*-2*-6)))/(((sqrt(24) + sqrt(24) + sqrt(24)*-1)*-1)/sqrt(4)).
13*sqrt(17)
Simplify -3*(4 + ((sqrt(242) + (sqrt(242) - (sqrt(242) + 1 + sqrt(242))))**2 - sqrt(14)/sqrt(63)) + 0).
-15 + sqrt(2)
Simplify ((2*sqrt(1584) + (sqrt(11) + -2 + sqrt(11))*-5)**2 - (((sqrt(176) - (sqrt(176) + 1*sqrt(176) - sqrt(176))) + sqrt(44))/sqrt(4))**2)*6.
1680*sqrt(11) + 13470
Simplify 2*(4 + 1 + sqrt(242))**2*-3*-2.
1320*sqrt(2) + 3204
Simplify (3*sqrt(325))**2 + (sqrt(52)*-3)**2 + -4*(sqrt(1872) + (2*sqrt(1872) - sqrt(1872))*-2).
48*sqrt(13) + 3393
Simplify (sqrt(30)/(sqrt(216)*-5 + sqrt(6)))**2 + (-5*(sqrt(5) + (sqrt(20) + 2*sqrt(20))/sqrt(4)))**2.
1682005/841
Simplify (2*(sqrt(567)*-2*-2 - (3 + 1 + sqrt(567) + sqrt(567))))**2 + -2.
-576*sqrt(7) + 9134
Simplify sqrt(27)/((sqrt(9) - (sqrt(9) + sqrt(81)*-2)) + sqrt(9)) + -2 + (sqrt(12)*1)**2*-1*-4.
sqrt(3)/7 + 46
Simplify (5 + 4 + ((2 + sqrt(343))*-6 - sqrt(343)) + -5)**2.
784*sqrt(7) + 16871
Simplify ((sqrt(128)*3 + sqrt(8) - sqrt(8))*-5)/((sqrt(144)/(sqrt(6)*2))/sqrt(6)).
-120*sqrt(2)
Simplify ((sqrt(198) + sqrt(198)*1)*-4)/(sqrt(5324) - 2*sqrt(5324)).
12*sqrt(2)/11
Simplify (sqrt(432)*-2*-4 - sqrt(432)*1*2)**2.
15552
Simplify -6*(sqrt(343) + -2) - (-1*sqrt(1400))/sqrt(2).
-32*sqrt(7) + 12
Simplify ((sqrt(792)*4 + sqrt(792))*-3)/((sqrt(144)/(sqrt(8) - sqrt(128)))/sqrt(9)).
270*sqrt(11)
Simplify ((sqrt(637) + 0 + sqrt(637))**2*-6 + 5*sqrt(39)/sqrt(3)*2)*3.
-45864 + 30*sqrt(13)
Simplify (-6*-1*sqrt(33) + sqrt(363)/(sqrt(22)/sqrt(2) + sqrt(11)))/(sqrt(15)/(sqrt(55)/sqrt(704))).
13*sqrt(11)/16
Simplify (4*(sqrt(9)/sqrt(3) - sqrt(3)))**2 + sqrt(21)/(sqrt(14)/sqrt(2)) - ((-5*sqrt(36)*1)/sqrt(12))**2.
-75 + sqrt(3)
Simplify (2*sqrt(1100) + sqrt(1100) - sqrt(308)/(sqrt(14)/sqrt(2)))/(sqrt(576)*2*5).
7*sqrt(11)/60
Simplify ((-4 + -1*1*sqrt(208) + 3)*5)**2.
200*sqrt(13) + 5225
Simplify (-6*(sqrt(250) + sqrt(250)*1 - sqrt(250)))/(sqrt(18)/(sqrt(27)/sqrt(3)*1)).
-30*sqrt(5)
Simplify -4 + 0 + (2*sqrt(18)*2)/(sqrt(486) - sqrt(486)*2).
-4 - 4*sqrt(3)/9
Simplify (sqrt(6) - sqrt(42)/sqrt(63))/sqrt(2) + 2 + -4 + sqrt(15)/sqrt(5).
-2 + 5*sqrt(3)/3
Simplify ((2*sqrt(60))/sqrt(10) - sqrt(6) - sqrt(24)/(2*sqrt(4)))/((sqrt(36) + (2*sqrt(36)*5 - sqrt(36)))/sqrt(12)) + -4.
-4 + sqrt(2)/20
Simplify ((sqrt(121) + 5*1*sqrt(121) + ((sqrt(121) + sqrt(121)*-1)*-3 - sqrt(121)))/(sqrt(704) - (sqrt(704) + (sqrt(704) - -5*(sqrt(704) + 2*sqrt(704))))))**2.
275/16384
Simplify (1 + (-4 + (sqrt(448) - sqrt(448)*-1)*3)**2)*4*-2.
-129160 + 3072*sqrt(7)
Simplify ((sqrt(180)*-2 + -2 + -2*(-2 + sqrt(180)))*4)**2.
-1536*sqrt(5) + 46144
Simplify 2 + (sqrt(35)*-2*-2)/(2*sqrt(35)/sqrt(5)).
2 + 2*sqrt(5)
Simplify (-3*(sqrt(1300)*5*-6 - sqrt(1300)*-2*-3))**2.
15163200
Simplify ((sqrt(342)*-1*-2)/sqrt(9))/(sqrt(288)*2*-5 - sqrt(288)).
-sqrt(19)/66
Simplify (4 + sqrt(128) + 3)**2 + (-5*((sqrt(126) - sqrt(14)) + sqrt(14)))/sqrt(7).
97*sqrt(2) + 177
Simplify -2 + ((4 + (sqrt(245) + 1 - sqrt(245)) + sqrt(245))*-4)**2*6.
6720*sqrt(5) + 25918
Simplify -6*(sqrt(168)/((sqrt(84)/sqrt(4))/sqrt(7)))/(-1*sqrt(32)*-4).
-3*sqrt(7)/4
Simplify (-1*sqrt(1377)*2 + -2)**2 + -5*(-4 + sqrt(1377)*1 - sqrt(1377)).
72*sqrt(17) + 5532
Simplify (4*(sqrt(119) + sqrt(119)*1*-1))/(6*(sqrt(7) + sqrt(7)*3)*2).
0
Simplify (-2*((sqrt(80) - -3*(sqrt(80) + 1 - sqrt(80))) + (-2*sqrt(80) - sqrt(80)) + 3 - 4*(1 + sqrt(80))*-4))**2.
9856*sqrt(5) + 64656
Simplify ((sqrt(1404) + sqrt(1404)*-1)/sqrt(3))**2 + -5 + ((sqrt(832) - (0 + sqrt(832) + sqrt(832) + sqrt(832))) + sqrt(832))**2.
827
Simplify -1 + (sqrt(75) - (-2 + (-3*sqrt(75) - sqrt(75))))**2 + sqrt(75) + 5.
105*sqrt(3) + 1883
Simplify -6*((sqrt(42)/sqrt(48) - sqrt(14))/((-1*sqrt(56))/sqrt(8))*-4*5)**2.
-2700
Simplify (sqrt(384) - (sqrt(384) + sqrt(384) + sqrt(384)*-2) - sqrt(216)/(1*sqrt(9)))/(sqrt(56)/(sqrt(175)*-2)).
-30*sqrt(3)
Simplify -6*(sqrt(272)*1 + 5)**2*4.
-7128 - 960*sqrt(17)
Simplify (((sqrt(136) - (1*sqrt(136) + sqrt(136) + sqrt(136)))*2)/(sqrt(2352)/sqrt(6))*-4)**2.
4352/49
Simplify (-3 + (sqrt(351)*2)/sqrt(3) + sqrt(52)/((sqrt(144)*1 - sqrt(144)) + sqrt(144)))**2.
-37*sqrt(13) + 18121/36
Simplify (2 + ((-1 + sqrt(192) - sqrt(192)) + 5 - (3 + -2 + sqrt(192)))*-5)*3.
-39 + 120*sqrt(3)
Simplify (1*sqrt(152)*-1*-3)/(-4*(-6*sqrt(24)/sqrt(3) - sqrt(8))).
3*sqrt(19)/28
Simplify 2 + -6*((-3*(sqrt(99)*1 + sqrt(99)) - ((1 + sqrt(99))**2 + -2)) + -1).
144*sqrt(11) + 596
Simplify 0 + 5 + sqrt(1125) + 2 + 2 + -5.
4 + 15*sqrt(5)
Simplify (0 + -1 + sqrt(19) + sqrt(19) + 0 + -3)**2 - (sqrt(684)*-1 + sqrt(190)/(sqrt(10) + sqrt(60)/sqrt(6))).
-21*sqrt(19)/2 + 92
Simplify (sqrt(200)/sqrt(5)*1)/(1*(sqrt(16)/sqrt(2) + sqrt(8)))*2*-5.
-5*sqrt(5)
Simplify ((sqrt(130) - (sqrt(130) + sqrt(130) + sqrt(130) + -1*sqrt(130) + sqrt(130)))*-4 + sqrt(130))/(sqrt(30)/sqrt(3)*3 + sqrt(10)).
9*sqrt(13)/4
Simplify (-1*(4*((sqrt(288) + -1)*2 - sqrt(288)) - (6*-1*sqrt(288) + 2)))**2.
-2400*sqrt(2) + 28900
Simplify ((3*sqrt(80)*-2 - sqrt(80))/(sqrt(490)*2)*-6*1)**2.
72
Simplify -2*(-5 + sqrt(1700) + (sqrt(1700) + sqrt(1700) + 1)**2) + (6*-3*(sqrt(1700) + 1))**2.
6380*sqrt(17) + 537532
Simplify ((sqrt(384) - sqrt(384)*-4)*4)/(sqrt(384)/sqrt(8))*5.
200*sqrt(2)
Simplify (((sqrt(1400)*1 + sqrt(1400))*3 + sqrt(1400))/(1*sqrt(567) - sqrt(7) - (sqrt(7) - sqrt(21)/sqrt(3)*3)))**2.
98
Simplify ((sqrt(102) + sqrt(102)*1)*-4*3)/((sqrt(6) - (1*sqrt(66))/sqrt(11) - sqrt(6))*3).
8*sqrt(17)
Simplify sqrt(143)/(sqrt(88)/sqrt(72)) - (sqrt(13)*2 + 0 + 2 + sqrt(26)/sqrt(2) + sqrt(13)).
-sqrt(13) - 2
Simplify ((sqrt(432) + -1)*2 + -2*sqrt(300) + sqrt(3) + 1 + sqrt(48))**2.
-18*sqrt(3) + 244
Simplify (5*2*sqrt(156) - (1*sqrt(156)*1 - sqrt(156)))/(-1*2*sqrt(972)).
-5*sqrt(13)/9
Simplify (-1*-2*sqrt(66) + -4*2*sqrt(66))/(1*(sqrt(24) - sqrt(384)))*-2.
-2*sqrt(11)
Simplify ((sqrt(114) + 3*sqrt(114)*2 - sqrt(114))*-5)/(sqrt(36)/(sqrt(294) + 2*sqrt(294))).
-630*sqrt(19)
Simplify (sqrt(90)/(sqrt(14)/(-3*sqrt(7))))/(((-4*sqrt(90) + sqrt(90))*-1)/sqrt(10)).
-sqrt(5)
Simplify 3*((sqrt(1700) + 2 + sqrt(1700) + sqrt(1700)*-2 + sqrt(1700) - sqrt(1700)) + (sqrt(833) + sqrt(833)*-2)*3)**2.
-252*sqrt(17) + 22503
Simplify (3*sqrt(144)*4)/(((1*sqrt(1728) - sqrt(1728) - sqrt(1728)) + sqrt(1728) - sqrt(1728))*5).
-2*sqrt(3)/5
Simplify (sqrt(77) - (-4*sqrt(77)*-5 - sqrt(77)))/(sqrt(84)/(-4*sqrt(12)))*-6.
-432*sqrt(11)
Simplify (-3*(sqrt(325) + sqrt(325) + 5*(-3 + sqrt(325)))*3)**2.
-85050*sqrt(13) + 1308150
Simplify (1*(sqrt(350) + sqrt(350)*2) - sqrt(350) - sqrt(350))/(-3*(-4*(sqrt(18) + sqrt(2)) + sqrt(2)))*3.
sqrt(7)/3
Simplify -2*((sqrt(190)*-1*5)/sqrt(10) - ((sqrt(76)/sqrt(4))**2 + -3)*-3).
-96 + 10*sqrt(19)
Simplify (-1*-6*sqrt(153)*2)/((sqrt(9) - 2*sqrt(36)/sqrt(4))*-1).
12*sqrt(17)
Simplify (1 + sqrt(112) + 2 - -5*(sqrt(112) - -1*sqrt(112))) + 6*(sqrt(252) - sqrt(252)*-1)*-2.
-100*sqrt(7) + 3
Simplify 2 + (sqrt(4400)*-3)/((sqrt(36)/sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
he third derivative of 19764*z**6 + 495*z**2 wrt z.
2371680*z**3
What is the second derivative of 850*v*x**2 - 324*v*x + 5 wrt x?
1700*v
Find the third derivative of -2*c**5*j**3 - 552*c**5*j + 2*c**2*j**3 + 4*c**2*j**2 - 56*c*j**2 - 2*c wrt c.
-120*c**2*j**3 - 33120*c**2*j
Differentiate 3233*r**2*t**2 - r*t**2 + 2*t**2 + 221*t - 2 wrt r.
6466*r*t**2 - t**2
Find the second derivative of 3*a**3*t**2*u - 2*a**3*t*u**2 - 1088*a**3*u**2 + 3*a**2*t**2*u**2 + 59*t**2 - 2*u**2 wrt t.
6*a**3*u + 6*a**2*u**2 + 118
What is the derivative of -87*f**4 + f**2 + 600?
-348*f**3 + 2*f
What is the second derivative of 4030*m**2 + 4309*m wrt m?
8060
What is the first derivative of 3*k*s**4 - 2*k*s - 4495*k + 1 wrt s?
12*k*s**3 - 2*k
Find the first derivative of -17486*u*z + u - 2*z - 943 wrt z.
-17486*u - 2
Find the third derivative of -3*r**5 - 561*r**4 - 1892*r**2.
-180*r**2 - 13464*r
Differentiate 869*z**4 + 1748 with respect to z.
3476*z**3
What is the first derivative of -112*o**3 + 145?
-336*o**2
Find the second derivative of 6*b**2*y**2 + 75*b**2*y - 4*b**2 - b*y**2 + 20*y**3 + 5*y wrt y.
12*b**2 - 2*b + 120*y
Differentiate 93*d*l**4 + 194*d + 5*l**4 with respect to l.
372*d*l**3 + 20*l**3
Find the third derivative of -3165*g**4 - 297*g**2 - 3*g + 2 wrt g.
-75960*g
What is the third derivative of -4338*n**3*s**3*u + 3*n**3*u**3 - 18*n**2*s**3*u + 5*n**2*s*u**2 + 5*n*s**3*u**3 wrt n?
-26028*s**3*u + 18*u**3
Find the second derivative of -165*q**2 + 2*q - 107 wrt q.
-330
Find the third derivative of 492*h**3 + 6*h**2 + 46*h.
2952
What is the third derivative of 221*g**6 + 2*g**3 + 5*g**2 + 148*g wrt g?
26520*g**3 + 12
Find the third derivative of -22118*q**3 + 7911*q**2 + q wrt q.
-132708
What is the second derivative of -13*i**5*l + 4*i**5 - 2*i + 10*l - 1 wrt i?
-260*i**3*l + 80*i**3
Find the third derivative of 7*f**2*k**3 - 2*f**2*k**2*z - f**2*k**2 - 9*f**2*z + 90*k**3*z - 4*k**2*z wrt k.
42*f**2 + 540*z
Find the second derivative of -1445*a**2*f**3 - 9*a*f**3 - 319*f**3 wrt a.
-2890*f**3
Find the second derivative of 13322*n**4*z**3 - 33*n*z**3 - n*z + 2*n - 18*z wrt n.
159864*n**2*z**3
What is the third derivative of -m**3*r*v + m**3*r + m**3*v - 465*m**3 - m**2 - 2*m*v - 30*m - 2*r wrt m?
-6*r*v + 6*r + 6*v - 2790
Differentiate 3969*d*u + 20*u - 14 wrt d.
3969*u
What is the second derivative of -1221*t**5 + t - 637?
-24420*t**3
What is the derivative of -2*l**2*s - 2*l**2 + 27*l*s**3 + 2*l - 11589*s**3 wrt l?
-4*l*s - 4*l + 27*s**3 + 2
Find the third derivative of -4*i**6 + 83*i**4 - 1483*i**2.
-480*i**3 + 1992*i
What is the third derivative of -38*c*u**3 + 2*c*u - 4*c - 2*u**5 - 18*u**2 wrt u?
-228*c - 120*u**2
What is the second derivative of -3241*j**4*z - 2*j**3*z + 26*j*z - j wrt j?
-38892*j**2*z - 12*j*z
Find the third derivative of 3*m**2*w*z**3 - 5*m**2*w*z**2 - 7*m**2*z**3 + 27*m*w*z**2 - 288*m*z**4 + 4*m*z**2 wrt z.
18*m**2*w - 42*m**2 - 6912*m*z
What is the derivative of 3599*m*t - 985*t wrt m?
3599*t
What is the derivative of 2*b*f**3 - 1453*b - 2915*f**3 - 3*f wrt b?
2*f**3 - 1453
Find the third derivative of -1942*n**4 + 33*n**2 + 54 wrt n.
-46608*n
Find the third derivative of i**3*m*q + 8*i**3*q**2 - 2*i**3 + 3*i**2*q + 12*m*q**2 + 2*m*q + 2*q**2 wrt i.
6*m*q + 48*q**2 - 12
What is the derivative of -10*z**2 - z + 444?
-20*z - 1
What is the derivative of -2367*a - 1678 wrt a?
-2367
What is the first derivative of -411*j**2 + 43?
-822*j
Find the third derivative of 558*f**3*h**2*q**2 + 5*f**3*q**2 - 2*f**2*h**2*q**2 + 3*f**2*h - 4*f**2*q**2 - 25*f*q**2 - 2*h**2*q**2 wrt f.
3348*h**2*q**2 + 30*q**2
Differentiate 2468*a*p**3 + 2*a*p**2*y**3 - 163*p**3*y + 8*p**2*y**3 with respect to a.
2468*p**3 + 2*p**2*y**3
Find the second derivative of -1230*s**5 - 108*s wrt s.
-24600*s**3
What is the third derivative of -16*s*w**4 + 75*s*w**2 - 3*w**4 + 2 wrt w?
-384*s*w - 72*w
What is the third derivative of -12*u*w**4 - 3*u*w + 2*w**4 + w**3 + 87*w**2 wrt w?
-288*u*w + 48*w + 6
Find the second derivative of -24*v**4 + 161*v**3 - 24836*v - 1 wrt v.
-288*v**2 + 966*v
Find the third derivative of -62*f**3*p**3*s**3 + 2*f**3*p**2 + f**3*s**3 - 43*f**3*s**2 wrt p.
-372*f**3*s**3
What is the third derivative of -o**6 - 71*o**5 + 2*o**2 - 424*o wrt o?
-120*o**3 - 4260*o**2
Find the third derivative of -125*d**3 - 194*d**2 wrt d.
-750
Find the first derivative of -3088*b - 5203 wrt b.
-3088
What is the third derivative of 21*d**3*o**3 - 55*d**3 - d**2*o**3 + 3*d*o**2 wrt o?
126*d**3 - 6*d**2
What is the third derivative of -d*k*x**4 - d*k*x**3 - 2*d*k*x**2 - 61*k*x**4 + 2*k*x**2 + 2589*k*x wrt x?
-24*d*k*x - 6*d*k - 1464*k*x
What is the third derivative of 134*a**3*c**2*g**2 - 2*a**3*c*g + a**2*c**2*g - a**2*g - a*c*g**2 - 2*c wrt a?
804*c**2*g**2 - 12*c*g
Find the second derivative of -3030*z**5 + 1477*z.
-60600*z**3
What is the third derivative of 106*c**6 - c**4 + 934*c**2?
12720*c**3 - 24*c
Find the second derivative of -2*o**2*z**3 - 134*o**2*z**2 + o**2*z - 3*o*z - 2*z wrt z.
-12*o**2*z - 268*o**2
What is the derivative of 2*o*w**3 + 3*o*w + 2769*o - 308*w**4 wrt w?
6*o*w**2 + 3*o - 1232*w**3
What is the first derivative of -60*g*k**3*u + 21*g*k**2*u - 3*k**3 + 17*k**2*u - 88*u wrt g?
-60*k**3*u + 21*k**2*u
What is the first derivative of 570*v + 698 wrt v?
570
What is the second derivative of 43*m**2*s**2*w - 25*m**2*s**2 - 2*m**2*w + 19*m**2 + 5*m*s*w + 2*s*w wrt s?
86*m**2*w - 50*m**2
What is the second derivative of -464*j**3*t**2 - 4*j**3 + j**2*t**2 - 53*t wrt t?
-928*j**3 + 2*j**2
What is the second derivative of -g**3 + 70*g**2*o - g*o - 366*g + 2*o wrt g?
-6*g + 140*o
What is the derivative of 2*a*g*x - 2*a*n**2*x + 3*a*n**2 - 3*a - 14*g*n**2*x - 4*g wrt x?
2*a*g - 2*a*n**2 - 14*g*n**2
Differentiate -5398*i**4 - i**2 - 3*i - 5483 with respect to i.
-21592*i**3 - 2*i - 3
What is the derivative of -163*c - 378?
-163
What is the third derivative of -688*u**6 - 11*u**4*y + 1381*u**2*y - u*y - 2 wrt u?
-82560*u**3 - 264*u*y
What is the second derivative of 391*b**5 + 224*b wrt b?
7820*b**3
What is the first derivative of 10735*k**4 - 22998?
42940*k**3
What is the derivative of 131*f**4 - f**3 - 19*f + 979?
524*f**3 - 3*f**2 - 19
Differentiate -40*y**3 - 37*y + 9418.
-120*y**2 - 37
Find the first derivative of 347*c**2*r - 6*c*r**2 - r**2 + 2*r - 1 wrt c.
694*c*r - 6*r**2
Find the first derivative of -10*q*s**2 + q*s - 80*q + 2 wrt s.
-20*q*s + q
Find the second derivative of 7*g**3*o**2 - 8*g**3*o*s - 52*g**2*o**2*s - g*o**2*s + 24*o*s wrt o.
14*g**3 - 104*g**2*s - 2*g*s
What is the third derivative of 5163*w**5 - 5926*w**2?
309780*w**2
What is the first derivative of 339*j**3*z**2 - 2*j**3 - 190*j**2 wrt z?
678*j**3*z
Find the second derivative of -6144*w**5 - w + 583 wrt w.
-122880*w**3
Differentiate -n*z**2 - 421*n + 9*z**4 with respect to z.
-2*n*z + 36*z**3
Find the second derivative of -9*r**3*u*w - r**3 + 2*r**2 - r*u*w - 2*r*w - 6*u wrt r.
-54*r*u*w - 6*r + 4
What is the third derivative of 6*c**2*f**3*n**2 + c**2*f**2*n**2 - 53*c**2*n + 12*c*f**3*n**3 - n**3 wrt f?
36*c**2*n**2 + 72*c*n**3
What is the derivative of 774*j**3 - 607 wrt j?
2322*j**2
Find the second derivative of -2*c**3*q + c**3 + 877*c**2*q - 495*c*q wrt c.
-12*c*q + 6*c + 1754*q
Find the third derivative of 3*i**3*j**3 - 5*i**3*j - 9*i*j**6 + 2*i*j**2 + 9 wrt j.
18*i**3 - 1080*i*j**3
Differentiate -46*h**3 + h**2 + 80 wrt h.
-138*h**2 + 2*h
Find the second derivative of 27*h**2*o**2 - 19*h**2*o + 3*h*o - 15*o**4 - 2*o wrt o.
54*h**2 - 180*o**2
Differentiate -28266*w**2 - 3896.
-56532*w
Find the second derivative of -372*i**2*n - 9*i - 36*n wrt i.
-744*n
Find the second derivative of -19*p**5 - p**3 - 127*p.
-380*p**3 - 6*p
What is the derivative of -13*f**4*z - 4*f + 56*z wrt f?
-52*f**3*z - 4
Find the third derivative of r**5 + 249*r**4 - 2137*r**2.
60*r**2 + 5976*r
What is the second derivative of -6*h**5 - 2*h**4 - 4*h + 6?
-120*h**3 - 24*h**2
Differentiate -7*g**2*j - 202*g**2*u - 15*g*j*u - g*u wrt j.
-7*g**2 - 15*g*u
What is the third derivative of 2*o**3*q**3*t - 3*o**3*q**2*t + 2*o**3*q*t - 10*o**2*q**3*t - o**2*q*t + 3*q**2*t wrt o?
12*q**3*t - 18*q**2*t + 12*q*t
Differentiate 24*w**4 + 2*w**3 - 403 with respect to w.
96*w**3 + 6*w**2
What is the derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
4*d - t + 1004 - 987 = 0, 5*d - t = -21 for d.
-4
Solve 4*b - k = 9, -34*b + 32*b - 27 = 3*k for b.
0
Solve 4*p + c = 144 - 289 + 140, 3*p = 2*c - 12 for p.
-2
Solve -3*j + 5*p - 5480 = -5482, 5*j + 2*p + 7 = 0 for j.
-1
Solve 75 = 5*u + 427*j + 949, u + 1 + 1 = j for u.
-4
Solve 7*g - d + 1812 = 1778, g + 3*d = 14 for g.
-4
Solve 0 = -31*v + 68*h - 73*h - 26, v + 5 = 4*h for v.
-1
Solve 2*b = -2*n - 2, -4*n + 5*b = 2*b + 11 for n.
-2
Solve -145991*x + 9 = -4*s - 145992*x, s - x = 19 for s.
2
Solve 10*i - 50 = 0, -9*h + 10*h + 18 = 4*i for h.
2
Solve -m - 4*h = 3294 - 3304, 0 = -5*m - 3*h - 1 for m.
-2
Solve 3*r - 60 = 0, r = -5*x - 13 + 8 for x.
-5
Solve 0 = -4*u + b + 46, -u + 26*b = 31*b - 1 for u.
11
Solve -428*u = 27*n - 427*u - 2, -3*n = -4*u + 8 for n.
0
Solve 3*n + 5 = 5*h, 0 = -75*h + 73*h + 11*n + 51 for h.
-2
Solve -3*y = 4*v - 1, -454 + 453 = 2*v + y for v.
-2
Solve -3*u = -4*z - 27, -129*z + 127*z + 3*u = 9 for z.
-9
Solve -3*y + 3*x = -6, -4227*x - 4 = 19*y - 4232*x for y.
-1
Solve 31 = -4*o + f - 0*f, o + 4*f - 5 = 0 for o.
-7
Solve -178*g + 277 = -4*w + 34*g - 551, -33 = -5*w - 2*g for w.
5
Solve 4*f = 5*b + 19, 0 = -f - 535*b + 532*b + 9 for f.
6
Solve 5 = -3*k - c, -k + 0*c = 2*c for k.
-2
Solve 0 = -10*l + 5*f + 85 - 45, -4 = -l + 2*f for l.
4
Solve -7*t - 57 + 64 = -4*d, 2*d = -4*t - 26 for d.
-7
Solve 0 = 3*d + 4*t - 37, 0 = -98*t + 53*t + 48*t - 30 for d.
-1
Solve -3*w = -4*p - 23, 60*w = 62*w + p + 3 for w.
1
Solve 4*i - 12 = 0, -226*i + 247*i = -2*a + 51 for a.
-6
Solve -1617*r = l - 1612*r + 39, 5*l = -4*r - 48 for l.
-4
Solve -2*k = 3*u - 20, 0 = 7*u + 35*k - 36*k - 24 for u.
4
Solve 16*x - 12 = 17*x - 2*j, 4*x - 11*j = -66 for x.
0
Solve 3*t - 5*d = -15, 29 = -2*t - 2*d + 19 for t.
-5
Solve -30*z + 33*z - 3 = 4*l, 0 = 5*z - 5*l - 10 for z.
5
Solve -2*c = 5*z - 4, -441*c + 4*z = -436*c - 10 for c.
2
Solve -k = 5*z - 21, -5*z + 122 = 5*k + 77 for k.
6
Solve -y - 4*o - 1899 + 1891 = 0, 0 = 5*y + 2*o - 14 for y.
4
Solve -4*g + 27 = -4593*j + 4590*j, -g + 3*j + 18 = 0 for g.
3
Solve 42*t - 38*t = -5*p - 37, p + 8 = -t for t.
-3
Solve 2*d + 2*d = 5*y + 19, -4*d = 4*y + 8 for y.
-3
Solve -2*c + 6*m - 24 = 0, 0 = -2*c + 11*c - 7*c + m - 4 for c.
0
Solve -4*r + 132 = 5*u, 0 = -44*r + 48*r - 2*u + 64 for r.
-2
Solve 34*y - 35*y + 0*k - 10 = 3*k, -5*y + 2*k = -18 for y.
2
Solve -5*q + 22 = l, 9*l + 4*q + 5*q = 6*q + 30 for l.
2
Solve -5*d + 62*g - 63*g = -52, 0 = -3*g + 6 for d.
10
Solve -3*x = -r + 7, -10*r + 563 - 595 = 4*x for x.
-3
Solve -l - 171447 = -2*y - 171456, 5*l = -3*y - 20 for l.
-1
Solve -32015*m + 32013*m + 2*f - 20 = 0, 8 = m + 5*f for m.
-7
Solve 2*g + c = -7, 0 = 4*g - 20*c + 17*c - 1 for g.
-2
Solve 44 = 4*z - 80*s + 84*s, 26 = -5*z + 4*s for z.
2
Solve -2*y = -2*t - 7*y + 37, 0 = -2*t - 2*y + 22 for t.
6
Solve -3*q - 344 = 5*o - 386, 11*o - 94 = -5*q for o.
9
Solve 42 = -4*r - 2*r, 10*r = 2*d + 13*r + 23 for d.
-1
Solve 4*p - 186*h + 190*h = 4, p = 3*h - 3 for p.
0
Solve 5*u + 2*q = 23, 468*u - 466*u + 2*q = 14 for u.
3
Solve -2*t - 4*h + 8 = 0, -19765*t + 19768*t - 12 = h for t.
4
Solve 5*v = -231*y + 229*y - 3, -4 = y + 5*v for y.
1
Solve -4*k + 40 = 0, 43*x + 5*k = 41*x + 50 for x.
0
Solve 200 = 4*n - 2*i + 212, -2*n - 2*i = -12 for n.
0
Solve -6*r + 10*v + 38 = -5*r, 5*r - 3*v - 2 = 0 for r.
-2
Solve 1538*v + 2*h - 2 = 1541*v, 2*h + 10 = 0 for v.
-4
Solve 0 = 113*d - 114*d - y, 5*d - y + 12 = 0 for d.
-2
Solve -136*m - 8 = k - 135*m, 3*m = k + 20 for k.
-11
Solve 0 = u + 4*f - 10, f + 18 = -4*u + 28 for u.
2
Solve 2*j + 5*c - 11 = 0, 2*c + 64 = -3*j + 75 for j.
3
Solve 2*t + 24 = 2*f, -1058*f = t - 1070*f + 45 for t.
-9
Solve -a - 3*c - 4 = 0, -121 = -5*a - 3*c - 129 for a.
-1
Solve 2*v + 31 = -7*l, -l - 531*v = -534*v - 58 for l.
1
Solve 0 = -14*v + 4*r - 22, 13*v = 12*v - r + 1 for v.
-1
Solve 0 = -h + 8, -4 = 10*b - 7*b + h for b.
-4
Solve 5 - 3 = -5*k - n, 0 = -4*k - n - 1 for k.
-1
Solve -3*d - 428 = -u - 422, -2*u = -d - 12 for u.
6
Solve -1234*y + 6 = -3*a - 1226*y, 3*y - 10 = 5*a for a.
-2
Solve -5*r + 3*g + 227 - 240 = 0, -5*r - 6*g = -0*g - 41 for r.
1
Solve 2*b = 2*s - 6, -7*b - 1361*s + 1362*s = 3 for b.
0
Solve -1 = 6511*v - 6507*v - 3*b, -2*b = -4*v - 6 for v.
-4
Solve -3*y - 18 = 3*w, 9*y + 2*w + 139 = 92 for y.
-5
Solve 0 = -8*o - 2*l - 83 + 127, -2*o = -l - 8 for o.
5
Solve -y + 5 = -u, -129*u = -128*u + 3 for y.
2
Solve 109*j = 3*c + 107*j - 6, -4*j = -5*c + 10 for c.
2
Solve -4*g + 31 = b, -35*b + 42 = 5*g - 37*b for g.
8
Solve 0 = p + u - 175 + 169, -3*u = -p - 2 for p.
4
Solve -3*u = -4*w - 6, -3*u - 1138 = 9*w - 1144 for w.
0
Solve 5*x = -2*b + 19, 1197*x - 3*b = 1199*x - 12 for x.
3
Solve 16 = 4*d, 4*d + 43 - 56 = -3*u for u.
-1
Solve -64*k + 63*k + 26 = -i, -15*k - i + 326 = 0 for k.
22
Solve -r = 5*s - 16, -5*s + 40 = 114*r - 119*r for r.
-4
Solve -3*x + 82 = 10*m + 138, x = m + 3 for x.
-2
Solve 2678*f - 2673*f + c - 22 = 0, 4*f - 12 = 2*c for f.
4
Solve -w - 4*l = 24, -18 = 484*w - 488*w + 3*l for w.
0
Solve 10*j + 38 = w + 2*j + 20, 3*j + 10 = 2*w for w.
2
Solve -5*u - 2*t - 64 = -105, -61 = -3*u - 4*t for u.
3
Solve 65*z - 66*z = 7*f - 26, -3*z - 2*f = -21 for z.
5
Solve -162 + 152 = 3*q + 4*w, -3*q = 2*w + 2 for q.
2
Solve 10*q = 9*q, -b + 2*q = 2 for b.
-2
Solve -2*g = -4*r + 30, -5*r + 2*g = -8 - 31 for r.
9
Solve 4*v - 8 = 5*l, -3*v - 2*l - 23 = -6 for v.
-3
Solve 347*o - 347*o = -2*l + 14, 104 = -3*o + 17*l for o.
5
Solve -2*t = 33*l - 38*l - 15, -2*l + 10 = 0 for t.
20
Solve 2*w + 2*d + 74 = 68, -w = 3*d + 11 for w.
1
Solve 2*t = -5*w + 20, -41485*t = -41488*t - w + 4 for t.
0
Solve 148*d = 150*d - 3*c + 39, -11*d + 5*c - 157 = 0 for d.
-12
Solve 4*b + 7*s = -1, -4*b + 7*s = 3*s + 12 for b.
-2
Solve a = -5*z + 38, -87*z + 2*a - 13 = -88*z for z.
7
Solve -2*j = -2*k - 12, 5*k + 4*j - 22 + 25 = 0 for k.
-3
Solve -5*v + 251*b = 253*b - 13, 0 = -v - b + 5 for v.
1
Solve 0 = 3*s + 5*x + 36, -2472*s + 2476*s + 3*x = -15 for s.
3
Solve 957*j = -6*p + 952*j + 40, 0 = -2*p - 4*j + 18 for p.
5
Solve 64*m + p - 14 = 67*m, -m = -3*p + 10 for m.
-4
Solve -2*b - 10 = 4*x, 3*b + 5 = -5*x - 10 for b.
-5
Solve 0 = -10*q - 3*s + 104, -4*q = -2050*s + 2049*s - 46 for q.
11
Solve -3*c = -b + 28, -4*c - 29*b - 59 = -26*b for c.
-11
Solve 4*l = -644*h + 645*h - 12, 0 = 3*l - 5*h + 9 for l.
-3
Solve -2*y - 223 = -i - 224, 5*y - 6 = -i for y.
1
Solve -2*r = -z + 14, -4*z = 6*r - 5*r - 29 for r.
-3
Solve 0 = -4*b + 5*m - 37, -57447*m = -5*b - 57445*m - 25 for b.
-3
Solve -5*m - 35 = -5*b, -174*b - 4*m + 4 = -170*b for b.
4
Solve -5*c - 5*d + 9 + 31 = 0, 0 = -4*d - 14 + 2 for c.
11
Solve -t = 2*h + 2, 4*t - 74 = -387*h + 420*h for t.
2
Solve r = -4*a + 11, -137*a = 4*r - 135*a - 16 for r.
3
Solve 50*n = 52*n - 6, 3*j = -3*n - 3 for j.
-4
Solve 2*b = -4*f, 110*f = -b + 37*f for b.
0
Solve -584*w + m = -585*w + 2, m + 7 = -4*w for w.
-3
Solve -4*c + 2024 - 2023 = -p, 5*c = 4*p + 26 for p.
-9
Solve 0 = -2*c + 3*b - 9, -c + 10 = -3*b + 19 for c.
0
Solve -4*y = 12*c - 120, 486*c - 485*c = -2*y + 35 for y.
15
Solve -3*h - 42 = -3*q, 4*q - 753*h + 10 = -755*h for q.
3
Solve 2*a + 2*u = -2, 66 = a + 4*u + 73 for a.
1
Solve -7*s - 3858*o + 3854*o = 35, 4*s + 5*o = -20 for s.
-5
Solve 11 = -2*s + 3, -23*p + 17*p = -2*s + 34 for p.
-7
Solve 0 = 8*o + 4*r - 8, 2*o = -5*r + 30 - 20 for o.
0
Solve -o = 4*j + 2, -4*o + 15 = -16*j - 41 for o.
6
Solve -3*z + 4267 = 3*y + 4225, 4*y + 8*z = 96 for y.
4
Solve -5*t + 18 = -p, -5*t - 3*p = 211 - 217 for t.
3
Solve 0 = 2*j + 2, 4*i - 380*j = -383*j - 7 for i.
-1
Solve 2*a - 20 = -2*b + 6*b, -2*a + 3*b + 15 = 0 for a.
0
Solve 0*x - 7*x = -4*d - 29, 15 = -6*x + 11*x for d.
-2
Solve 39 = -3*x + 3*r, -x - 76*r + 74*r = 7 for x.
-11
Solve -4*r + 8*v - 3*v = -5*r, -3*r + v = 0 for r.
0
Solve 4*i = -3*d - 17, 4*i - 5*d + 56 = 31 for i.
-5
Solve 0 = 5*w + 4*j + 44, 16*w = 19*w - 3*j - 60 for w.
4
Solve -4*k - 249*i + 245*i = 28, 8*k = -2*i - 62 for k.
-8
Solve y = -5*q + 19, -26*q = -y - 24*q + 5 for y.
9
Solve 2*z - a = -2, a - 10 = -8 for z.
0
Solve -395*k + 16 = -398*k - 2*f, 3*f + 25 = -5*k for k.
-2
Solve -4*y - 7*r - 51 = 0, 3*r - 16 - 36 = 5*y for y.
-11
Solve 0 = -3*x + 5*j + 24, -3532*j + 9 = -2*x - 3537*j for x.
3
Solve -2*x = 2*k + 18, -4*k - 449 = x - 428 for
|
{
"pile_set_name": "DM Mathematics"
}
|
is the value of (0 + 79 - -4) + (-52 - -36) - -10?
77
What is -3 + (10 - (-1 + 9) - -2 - 9) + -14?
-22
-29 - (4 + -17) - (42 + (30 - 9))
-79
Calculate (14 - (5 - 11) - 14) + -2 + -35.
-31
Evaluate (24 - -8) + 5 - (10 + 2 - -1).
24
Calculate -6 - ((-59 - -27 - -24) + (0 - -2) + -30).
30
What is 25 - (-3 - (-4 - (11 - 6 - 11)))?
30
(66 - (54 - 48)) + -146
-86
Evaluate 19 + -27 + 13 - (-1 + (64 - -13)).
-71
Calculate 0 - -5 - (-742 - -764) - 3.
-20
What is -5 + 31 + -16 + (1 - 18) + 15 + 7?
15
What is (-23 - -20) + -3 - (7 - 71 - -8)?
50
Evaluate -98 + 8 + (19 - 0 - 7) + (0 - 8).
-86
0 - 69 - (83 + -28 + -49 - (3 + 1))
-71
What is 264 - 351 - (-6 - 79)?
-2
Calculate (8 - -14) + -8 + (7 - 136) + 0.
-115
What is (225 - 255) + (40 - -3) + 1 + -90?
-76
20 + (-52 - -101 - 91)
-22
What is -133 + 41 + 126 - 84?
-50
19 - 1 - (5 + -38 - -4)
47
Calculate -27 + (9 - (-21 - -32)) + 2.
-27
Evaluate -13 + 26 + -43 + 23 + (-3 - 49).
-59
What is the value of (9 - (-15 + 28)) + -11?
-15
Evaluate 362 - 365 - (14 + 0) - -17.
0
What is the value of -41 - (-3 + 0 + 7 + 5 + 12 + -24)?
-38
What is the value of 17 - (29 + 10 + -9) - (-124 + -1)?
112
Calculate (-19 - -50) + -21 - 1 - (-1 - 5).
15
-10 + -3 + -60 - (-9 - (-13 + -2)) - -7
-72
Evaluate 1 - -13 - ((2 - -48) + 8).
-44
-4033 + 3989 + (-5 - 2) + 3
-48
Evaluate 21 - 1 - (-12 - (-29 - (-28 - -27))).
4
Evaluate -83 - (70 + -85) - -144.
76
Calculate (40 - -6 - 2) + -20 + 35 + -13.
46
Calculate 10 + (12 - ((37 - -17) + -3)).
-29
Evaluate (23 - (8 - -8 - 22)) + 1.
30
What is the value of (0 - -1) + -7 + 16 + (29 + -84 - -57)?
12
What is (11 - -11) + -10 + (17 - 7 - 3) + -136?
-117
Calculate (-111 + 106 - (1 + 4)) + (147 - 7) + -8.
122
What is the value of (-50 - -84 - 4) + -15?
15
-9 + 16 - (-78 + 40 - -111)
-66
What is the value of -45 + 0 + 8 + (-35 - -39) - 19?
-52
What is the value of (-4966 - -4890) + 84 + 1?
9
Calculate -18 - -88 - (172 + -106).
4
Evaluate -17 + ((45 - 30) + 60 - (-1 + 4)).
55
What is the value of -41 - (-44 - 33) - -11?
47
Calculate 23 - -4 - (53 - -20).
-46
Evaluate 1 + -12 - (18 + -21 + -36 + 25).
3
Evaluate -3 - -1 - -3 - (-2686 - -2700).
-13
Calculate -93 + -4 + 88 - (-50 - (1 + -1)).
41
-7 - (-2 + (13 - 18)) - 27
-27
(1 - (57 - (-6 + -17))) + 18
-61
15 + 7 + -30 - 9 - -26
9
Evaluate 60 - (10 - 30) - 74 - (1 - (1 + -26)).
-20
Calculate (1 - -5) + 3 - (29 + (-90 - -63)).
7
What is 23 + 7 + -5 + -14 - (67 + 2 + -1)?
-57
Calculate (159 - 78) + -132 + (-2 - 19).
-72
1 - (-84 + -8 + 43)
50
(-25 - -57) + -14 + (2 - -8)
28
465 - 440 - (126 + -7) - (0 + 15 + 0)
-109
Calculate (4 + 3 - ((-15 - -19) + 1) - -4) + -21.
-15
Calculate (-202 - -229) + -17 + 2 + (0 - -12).
24
Calculate 10 + -6 - 44 - -25.
-15
Evaluate (3 + -3 - -13) + -3 - (-62 + 84 + -123).
111
-112 + -11 - -112 - (1 + 25 + (-3 - -1))
-35
Evaluate 19 + 12 + (7 - 1 - (-15 - -12)).
40
Evaluate 20 - (-32 + 34) - -17.
35
54 - ((-4 - -3) + (-41 + 20 - (9 - 26)))
59
Calculate 18 + -43 + -115 - -65.
-75
What is the value of -26 - -5 - ((47 - 158) + 44)?
46
Calculate 31 + -57 + 17 + (-3 - (37 + -3)) + 0.
-46
What is (-16 - -40) + -16 + 5 + -26?
-13
Evaluate -16 + 58 + (38 - 33) - 27.
20
What is 34 + (50 - 8) + -94 + 132 + -1?
113
Calculate (1 - (6 - 4) - 4) + (-103 - -97).
-11
What is the value of (7 - 13) + (7 + (-3 - -4) - (-1 + -15))?
18
Evaluate -15 - (-114 + 9 - -50).
40
What is -1 + (18 - (-16 + 24 + -11)) + 12?
32
6 + (29 - (-20 - (-18 + 14)))
51
What is 2019 - 1984 - (1 + 26)?
8
What is the value of -1 + (-20 - 1) + (5032 - 5011)?
-1
What is the value of 79 - 1 - (8703 + -8559)?
-66
What is 56 + (-2 + 19 + -149 + 118 - -12)?
54
Calculate (4 - 1) + (-2 + -7 - -11 - 0) + 46.
51
What is 466 + -484 - (-1 - -5) - (-2 + (12 - -2))?
-34
What is the value of -61 - (-85 - -28) - 25?
-29
Calculate ((6 - 1) + (32 - 31) - -32) + (-1 - -3).
40
What is the value of -8 + (-5 - (-107 - -86 - (-8 + -2))) - -57?
55
36 + -76 + 10 + -54
-84
Calculate 23 + (15 - 30) + (-1 - (-28 + 1)).
34
Calculate -35 + (136 - 143) - -109.
67
Evaluate -6 - -4 - (2615 + -2539).
-78
Calculate -297 - -420 - (5 - -41).
77
1 + (-79 - ((-38 - -24 - -25) + -6 + -1))
-82
Calculate (12 - (0 - (-2 - (16 - 17)))) + (19 - -1).
31
Evaluate -29 + 27 + (-20 - -5) - (-36 + -98).
117
What is the value of 15 - ((-42 - -20 - -29) + -7)?
15
Evaluate 120 + (-226 - (-21 - 92)).
7
Calculate -15 + -5 + (77 - 18).
39
Calculate (-2 - 32 - -82) + -75.
-27
Calculate 1 + -97 + 93 - ((0 - -1 - 2) + 6).
-8
Calculate -97 + -28 + (12 - -5) + 27.
-81
Evaluate (13 - (7 + -7) - 5) + (89 - 137).
-40
Calculate (136 - 129) + (5 - -68 - ((-2 - 2) + 0)).
84
2 - (5 - 18 - -19 - 21)
17
-65 + 90 + -74 + 80
31
Evaluate (4 - (-3 + (-1 - (6 - 22)))) + -9 + -4.
-21
Evaluate (-8 - 14) + (-39 - -48) - -20.
7
Calculate 74 - 25 - 42 - (-44 + -19).
70
What is the value of (-146 + -1 - -149) + -50 + 0?
-48
Calculate 60 + 0 + (351 - 480).
-69
Evaluate 6 + -19 - -25 - -28 - (-4 + 9 - 13).
48
-101 + (78 - 76 - -247)
148
What is the value of 17 + (-54 - -12) + 24 + 42?
41
What is the value of 6 + -8 + 10 + 3 - 38 - 5?
-32
Calculate (2 - -5) + (-23 - -10) - (-121 + 89).
26
(-4 - 27) + 12 - 41
-60
Calculate -95 + (11 - (-17 - (-32 + 17))).
-82
What is the value of 0 + 116 - (691 + -632)?
57
What is the value of (-8 - -5) + -28 + (-19 - -13) + -11?
-48
What is the value of 91 + (-35 + 1 - -28)?
85
What is 15 + 2 + 52 + -105 + 50?
14
Calculate -2 - 8 - -20 - ((-7 + -2 - 3) + 5).
17
Evaluate 15 + (78 - 85) + 34.
42
Evaluate -2 + 2 - ((-36 - (1 + -21)) + 54).
-38
Evaluate 32 + 1 - (88 - 44).
-11
Calculate 20 + 0 + 1 + 8 + 8.
37
Calculate 29 - (46 + (-38 - 3)).
24
Calculate 10 + -1 - (8 - (-174 + 180)).
7
-223 + 217 + 10 + -1 + (-4 - -2)
1
What is the value of 260 - (-143 - -239) - 100?
64
What is the value of 68 - (-45 + 62) - 37?
14
Calculate -250 + 288 + (-34 - -3 - -1) + -110 + 0.
-102
What is the value of -39 + (-36 - 7) + 83?
1
Calculate 35 + 1 + 0 + (100 - 252 - -142).
26
Calculate 16 + 7 + -30 + 2 + 60 + -59.
-4
What is the value of (-14 + 12 - 17) + (-17 - -30 - 100)?
-106
Calculate -80 - (-13 + -95) - (-8 + (-1 - 2)).
39
-2 + 24 - (-382 - -193 - -112)
99
What is -1 + -2 + 1 + 0 + (0 - -227) + -285?
-60
Evaluate 17 + 0 - (-13 + (-13 + -2 - -25 - 4)).
24
Evaluate (-48 - -23) + -2 + 15 + -34.
-46
What is the value of (-76 - -21) + 4 + 20?
-31
What is (454 - 475) + (2 + 4 - (3 + 2))?
-20
What is (-25 - 2) + (-142 - -170) + -102?
-101
Evaluate 7 - (-7 + 6) - (-12 + -20 + 20).
20
Calculate (-16 - (-3 + 6 + 10)) + -8.
-37
What is the value of -6 + -1 + -31 + (-61 - (-112 + 67))?
-54
(25 - 33) + (5 - (5 + -4 + (23 - 32)))
5
Evaluate 6 + 4 + (33 - 89 - -31).
-15
Evaluate -23 + (-6 + 1 - (-70 + -6 + 58)).
-10
Calculate 183 + (43 + -173 - -7).
60
Evaluate -11 + (33 - (-37 - -100) - (0 - 15)).
-26
What is the value of 2 + (-7 - (-4 + 3)) - (-742 + 754)?
-16
Calculate -1 + 16 + -23 + -13 + -1.
-22
What is 702 - 711 - ((-1 - (0 + 0 - -3)) + 24)?
-29
What is the value of -1 - (-198 - -31) - 44?
122
-1499 + 1434 - (2 + -129)
62
What is (3 - (68 + -16)) + (-1 - (9 + 0))?
-59
(8 - -16) + -33 + -55
-64
What is (10 - 10) + 14 + 92 + -63?
43
What is -69 + (59 - -20) + 36?
46
What is the value of (9 - (2 - 13 - -17)) + -32 + -58?
-87
What is (3 + -1 - 32) + (-19958 - -19964)?
-24
What is the value of (-116 - -187) + 104 + -156?
19
What is (-4 - 0) + -26 + (6 - -8) + 40?
24
Evaluate (43 - (119 - 95)) + -66 + -1.
-48
0 + 49 - (2857 + -2880)
72
What is 1 + (0 - 1) - 9 - (-9 - 23 - -35)?
-12
Calculate (37 + -42 - (-12 + 12)) + (0 - -33).
28
What is 158 + -67 + (-9 + 86 - 28)?
140
35 + -21 - (5 - (-15 + 13 + -59))
-52
What is -50 + 98 + -112 + -1 + 17?
-48
Evaluate 5 + ((1 - 8) + -2 - 0) + 66 + -71.
-9
What is the value of -51 - (11 + -42) - ((-85 - 5) + 1)?
69
What is the value of -3 + 0 - ((20 - (25 - -51)) + 10)?
43
35 - (1 + 0 + -33 - -14)
53
What is -16 - (13 - (9 + -10))?
-30
Evaluate -46 - (14 - 31) - -8.
-21
10 + (9 - 18) + 12 + -19 - (-71 + -1)
66
What is the value of (5 - 21) + (243 + -228 - (-2 - -1))?
0
What is the value of 37 + -30 - (-7 + 9 + 1 - -8)?
-4
Evaluate (-16 - -31 - 5) + -14 - -34.
30
What is (-7 - 3) + 8 + (-4 - (15 + -26))?
5
Calculate 99 - (22 + 5 - 7) - 7 - -17.
89
What is the value of (-497 - -531) + -22 + 0 - (-29 + -1)?
|
{
"pile_set_name": "DM Mathematics"
}
|
(y) be the first derivative of a(y). Find the third derivative of x(i) wrt i.
180*i**2
Let m be 2/(-6) - 50/(-15). Differentiate 3*j**4 - 3 - m*j**4 - 3*j**4 wrt j.
-12*j**3
Let z(i) = -5*i. Let o be z(-1). Find the first derivative of -o*m + 4 + 2 + m - 4 wrt m.
-4
Let v(z) be the first derivative of -28*z**5/5 - 49*z + 44. What is the first derivative of v(h) wrt h?
-112*h**3
Suppose 0 = 4*q + 24 - 8, 0 = -2*f + 4*q + 24. What is the third derivative of 5*y**2 - 2*y**3 - 3*y**f + 0*y**3 + 2*y**3 wrt y?
-72*y
Suppose s = -2*s. Suppose 3*l = h + 12, s*l + 8 = 2*l - 2*h. Differentiate -2 - 6*i**3 + l*i**3 + 0*i**3 with respect to i.
-6*i**2
Let q(t) = -t**2 - 11*t + 14. Let f be q(-12). Find the third derivative of -5*n**3 + 2*n - n - n - 3*n**f wrt n.
-30
Let y be (-60)/35 + 2 + 8/21. Let u(s) be the first derivative of -y*s**3 - s - 3 + 0*s**2. Differentiate u(b) with respect to b.
-4*b
What is the second derivative of -21*n**3 + 87*n - 34*n - 41*n wrt n?
-126*n
Differentiate m**3 - 5*m**3 - 4*m**3 - 9 + 4*m**3 with respect to m.
-12*m**2
Let i(m) be the second derivative of -m**10/2520 - m**6/90 + 2*m**3/3 - m. Let v(y) be the second derivative of i(y). Find the third derivative of v(q) wrt q.
-240*q**3
Let b(r) = -r**2 - 4*r + 5. Let y be b(-4). What is the second derivative of -2*k**3 + 0*k**3 - 2*k + y*k wrt k?
-12*k
Let u(t) be the second derivative of -t**5/40 + t**4/24 - t**3/3 + 3*t. Let h(s) be the second derivative of u(s). Differentiate h(d) with respect to d.
-3
Let r(b) be the first derivative of 0*b + 0*b**2 - 4 + 1/3*b**3 - 1/4*b**4. Find the third derivative of r(t) wrt t.
-6
Let c(z) be the first derivative of -z**5/10 - z**4/12 + 4*z - 4. Let v(n) be the first derivative of c(n). What is the third derivative of v(a) wrt a?
-12
Find the second derivative of 3*m**3 - 17*m**2 + 29*m**2 - 12*m**2 - 8*m wrt m.
18*m
Let a(j) = j**2 - 6*j - 4. Let q be a(7). Find the first derivative of 56 - 57 + k**q + 2*k**3 wrt k.
9*k**2
Let r(t) = t**2 - 6*t + 4. Let d(n) = -18*n + 2*n**2 + 2 + 9 + n. Let m(o) = -6*d(o) + 17*r(o). Find the first derivative of m(a) wrt a.
10*a
Let c(r) be the third derivative of -2/3*r**3 - 1/6*r**4 - 4*r**2 + 0 + 0*r. Find the first derivative of c(x) wrt x.
-4
Let d = -4 + 7. Differentiate -d + 3*c - 4 + 6 wrt c.
3
Suppose 4*m - 8 + 0 = 0. Find the second derivative of 5*t - 2*t + t**2 - m*t**2 - 2*t**2 wrt t.
-6
Let a be (-228)/(-54) - 2/9. Let r = a + -3. Find the second derivative of 0*g - 1 - 3*g + 3*g**2 + r wrt g.
6
Let i(v) = -12*v**4 - 4*v**3 - 4*v**2 - 15. Let b(f) = -48*f**4 - 15*f**3 - 15*f**2 - 60. Let m(l) = 4*b(l) - 15*i(l). Differentiate m(o) with respect to o.
-48*o**3
Let m(t) be the third derivative of 0*t**3 + 0 + 0*t + 4*t**2 - 1/12*t**4 - 1/20*t**5. Find the second derivative of m(z) wrt z.
-6
Suppose -3*n + 4 = -2*y - 0, -4 = 4*n + 2*y. Suppose p + n*p = 2. Find the second derivative of -2 - 2*w**5 + p*w + 2 wrt w.
-40*w**3
Let r(g) = 24*g**5 - 2*g**4 - 14*g**2 - 2*g. Let k(c) = 48*c**5 - 5*c**4 - 27*c**2 - 5*c. Let b(m) = 2*k(m) - 5*r(m). Find the third derivative of b(s) wrt s.
-1440*s**2
Let o(r) be the first derivative of -8*r**4 + 13*r**3/3 + 4. What is the third derivative of o(y) wrt y?
-192
Let f(g) = -g**2 + 7*g - 2. Let d be f(6). Suppose 4*t - 4*a + d = 0, 2*t + 0*a = a + 1. Differentiate 2 + y**t + 4*y - 4*y wrt y.
2*y
Suppose -5*j = -2*j + m - 13, -2*j + m = -2. Find the third derivative of -2*y**4 - 5*y**2 + j*y**4 + y**2 wrt y.
24*y
Let h(o) = -6*o + 7*o + o**3 - 6*o**2 + o**2 - 3. Let d be h(5). Find the second derivative of -5*z**d + 2*z**4 + 11*z**2 - 6*z**2 + 2*z wrt z.
24*z**2
Suppose 2*c = -2*c + 20. What is the third derivative of 5*v**2 + 3*v**3 - v**3 - 5*v**c - 2*v**3 wrt v?
-300*v**2
Let b be (-2)/(-2*(-1)/(-5)). Find the second derivative of y - 2*y + 2*y**b + 0*y wrt y.
40*y**3
Find the first derivative of -25*t + 35 - 1 + 18*t wrt t.
-7
Suppose 3*i - i = 6. Suppose z = 4*b - 3*z - 24, z - 2 = -i*b. What is the second derivative of t - t - b*t**3 - t wrt t?
-12*t
Let t(l) be the second derivative of 4*l**6/5 - l**5/10 + 5*l**4/4 + l**2/2 - 5*l + 3. Find the third derivative of t(a) wrt a.
576*a - 12
Suppose 3*o - 9 = -u - 0*u, 0 = 5*u - 3*o - 9. What is the second derivative of -b**u + 3*b + 4*b**5 + b**3 wrt b?
80*b**3
Let h(c) = -2*c**3 + 7*c**2 - 4*c. Let j be 8*(-1)/(-2*1). Let r(p) = p**3 - 6*p**2 + 3*p. Let k(a) = j*r(a) + 3*h(a). Find the third derivative of k(x) wrt x.
-12
Let t(p) = 69*p**2 + 80*p + 17. Let x(q) = -23*q**2 - 27*q - 6. Let s(r) = 6*t(r) + 17*x(r). What is the second derivative of s(d) wrt d?
46
Let v(l) be the second derivative of 0*l**2 + 2/3*l**4 + 0*l**3 - 11/30*l**6 + 0*l**5 + 0 + 4*l. Find the third derivative of v(p) wrt p.
-264*p
Let w(t) = t**4 - t**3 + 1. Let f = -4 - -3. Let r(b) = -4*b**4 + 3*b**3 - 5. Let y(m) = f*r(m) - 3*w(m). What is the first derivative of y(i) wrt i?
4*i**3
Let p(t) be the second derivative of 7*t**6/30 + t**2 + 5*t. What is the derivative of p(k) wrt k?
28*k**3
Find the third derivative of 6*v**2 + 4*v**3 + 14*v**3 - 6*v**3 wrt v.
72
Let h = -77 - -81. Let a(v) be the second derivative of 1/3*v**3 + 2*v + 1/4*v**h + 0 + 0*v**2. Find the second derivative of a(c) wrt c.
6
Let h(x) be the third derivative of x**8/6720 + x**5/20 - x**4/24 + x**2. Let v(k) be the second derivative of h(k). What is the first derivative of v(z) wrt z?
3*z**2
Let u(f) be the first derivative of -35*f**3/3 - f**2 + 5. Find the second derivative of u(l) wrt l.
-70
Suppose 5*z = 3*z. What is the first derivative of -2 - 1 + z*h**3 - h**3 wrt h?
-3*h**2
Let c be (-7)/(-3) + (-1)/3. Suppose z + c*z = 6. What is the derivative of -4*r**2 - 2*r**3 + 4*r**2 + 0*r**z + 3 wrt r?
-6*r**2
Let y(v) be the third derivative of v**6/120 + v**5/15 - 6*v**2. What is the third derivative of y(n) wrt n?
6
What is the second derivative of -4 + 2 + 7 - 3*t**3 - t + t**5 + 0*t**5 wrt t?
20*t**3 - 18*t
Let x be (-2)/((-2)/(-3)*1). Let z = 0 - x. What is the second derivative of k - 3*k**3 + 0*k**3 + k**z wrt k?
-12*k
Let j(s) be the third derivative of 11*s**5/60 + s**4/4 + 12*s**2. Find the second derivative of j(h) wrt h.
22
What is the first derivative of 6 - 15 + 6 + 6 - 4*p**2 wrt p?
-8*p
Let m(k) = 1. Let j(v) = 8*v**3. Let a(q) = -j(q) + m(q). Find the first derivative of a(o) wrt o.
-24*o**2
Let a be (12/(-15))/(4/(-10)). Find the third derivative of q**4 - q**4 - a*q**2 + q**4 wrt q.
24*q
Suppose -2*w + 7*w - 10 = 0, -4*c - 3*w + 70 = 0. Let b be (-6)/(-4)*c/12. Find the third derivative of -3*m**2 + m**3 + b*m**2 + 0*m**3 - m**2 wrt m.
6
Let m(j) = -62*j**4 + 7*j**3 + 68*j - 7. Let l(w) = 31*w**4 - 4*w**3 - 34*w + 4. Let q(t) = 7*l(t) + 4*m(t). Find the second derivative of q(h) wrt h.
-372*h**2
What is the third derivative of -5*o**2 + 5*o**2 - 36*o**3 + 9*o**3 - 16*o**2 wrt o?
-162
Let t(s) = 14*s**2 - 18*s + 5. Let c(d) = -14*d**2 + 17*d - 4. Let b(i) = 5*c(i) + 4*t(i). Find the second derivative of b(o) wrt o.
-28
Let o(m) be the second derivative of 0*m**2 + 0*m**4 + 3/20*m**5 - m - 1/6*m**3 + 0. What is the second derivative of o(u) wrt u?
18*u
Let j(k) be the second derivative of k**8/84 + k**4/8 + k**2/2 - 3*k. Let a(d) be the first derivative of j(d). Find the second derivative of a(c) wrt c.
80*c**3
Let h(i) = -22*i**2 - 19*i. Let u(n) = -109*n**2 - 97*n. Let r(w) = -22*h(w) + 4*u(w). What is the second derivative of r(v) wrt v?
96
Let o(k) be the second derivative of -k**6/30 + 3*k**5/10 + k**4/6 + 23*k**2/2 + 4*k. What is the third derivative of o(g) wrt g?
-24*g + 36
Let q(v) = 4*v**3 - 5*v**2 - 5*v. Let m(a) = 2*a**3 - 2*a**2 - 3*a. Let n(f) = -5*m(f) + 3*q(f). What is the third derivative of n(d) wrt d?
12
Let x(h) be the first derivative of 0*h**5 + 1 - 1/2*h**6 - 2/3*h**3 + 0*h**2 + 0*h + 0*h**4. Find the third derivative of x(g) wrt g.
-180*g**2
Let u = -5 - -8. Find the second derivative of -2*p - 11*p**u + 5*p**3 + 5*p**3 wrt p.
-6*p
Let b = -1 + 3. What is the second derivative of -k + 0*k**2 + 0*k + k**b wrt k?
2
Let s be 5*(0 - (-3)/5). What is the third derivative of -2*c**2 + 8*c**6 + s*c**2 - 11*c**6 wrt c?
-360*c**3
Let w(s) be the third derivative of -s**5/30 + s**4/6 + 5*s**2. Find the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*x**2. Let d(p) be the first derivative of a(p). What is the derivative of d(w) wrt w?
4*w
Let t be (9/6)/((-3)/(-4)). What is the derivative of w - w + 2 - t*w wrt w?
-2
Differentiate 13 + 66*q**2 + 3*q - q - 67*q**2 with respect to q.
-2*q + 2
Suppose -4*i + 3 = -21. Differentiate -4*r + 13*r - 9*r + 7 + i*r**4 with respect to r.
24*r**3
Suppose 0 = v - 0*a - a, 5*v - 3*a = 10. What is the second derivative of -4*t + t + t + 6*t**2 - v*t**2 wrt t?
2
Let l = 0 + 4. Differentiate -2*x + 3 + 0*x - 4*x + l*x with respect to x.
-2
Let q(r) be the first derivative of 3*r**4/4 - 17*r**3/3 + 19. Find the third derivative of q(j) wrt j.
18
Let s be 9/(243/6) - (-2)/(-9). Let k(d) be the first derivative of s*d**2 + 2*d + 3/4*d**4 + 1 + 0*d**3. Differentiate k(l) with respect to l.
9*l**2
Let x = -1 + 7. What is the second derivative of -1 + 1 + 4*p**3 - 15*p**3 + x*p wrt p?
-66*p
Let w(b) = -b**3 + 5. Let m be (-2 + 1)/(10/160). Let s(q) = 4*q**3 - 26. Let g(v) = m*w(v) - 3*s(v). What is the first derivative of g(j) wrt j?
12*j**2
Let d(z) = -z - 1. Let l(r) = 3*r**2 - 25*r - 2. Let c(w) = 2*d(w) - l(w). Find the second derivative of c(i) wrt i.
-6
Let l be (-2 - -3) + 2/1. Suppose l = 3*o - 0. Differentiate t + 3 - 5 + o wrt t.
1
Let r(h) be the second derivative of -7*h**4/12 + 5*h**3/6 + h. Find the second derivative of r(b) wrt b.
-14
Suppose 2*f - 6 = -f. What is the third derivative of -2*a**3 + 6 - 2*a**f - 6 wrt a?
-12
Let z(q) = q**2 - 5*q - 9. Let o be z(7). What is the second derivative of -6*v + o*v**4 + 3*v + 2*v + 3*v wrt v?
60*v**2
Find the first derivative of 2 + 27*x**3 - 2*x**3 + 0 wrt x.
75*x**2
Let k(g) = -g**2 - 1. Let u be -1 + (1*-8)/(-2). Let y(o) = -6*o**2 + o - 3. Let a(s) = u*k(s) - y(s). Find the second derivative of a(t) wrt t.
6
Let p(g) be the first derivative of g**5/5 - g**4/6 - g + 7. Let t(b) be the first derivative of p(b). What is the third derivative of t(q) wrt q?
24
Find the second derivative of 5*f**5 - 7*f**5 + 9*f + 6*f**5 wrt f.
80*f**3
Let u(i) = 2*i + 21. Let t(v) = v + 7. Let w(f) = 7*t(f) - 2*u(f). What is the first derivative of w(l) wrt l?
3
Let k(v) be the third derivative of -v**7/21 - v**5/30 + 12*v**2. What is the third derivative of k(c) wrt c?
-240*c
Let p(a) be the second derivative of 0 + 3/2*a**2 - 1/4*a**4 + 0*a**3 + 3*a. What is the first derivative of p(b) wrt b?
-6*b
Let g(o) be the first derivative of -2 + 0*o - 1/3*o**3 + 0*o**4 + 0*o**2 + 3/5*o**5. Find the third derivative of g(k) wrt k.
72*k
What is the second derivative of 4*f - f + 3*f**4 - 7*f**4 wrt f?
-48*f**2
Find the first derivative of -1 + 3 + g**3 + 3*g**3 - 3*g**3 wrt g.
3*g**2
Let k(i) be the first derivative of 17*i**2 + 17*i + 10. Find the first derivative of k(z) wrt z.
34
Suppose 0 = -k - 0*k + 12. Suppose -8*r + 4*r + k = 0. What is the second derivative of x**2 - 3*x**2 + r*x**2 + x wrt x?
2
Let o(b) be the third derivative of 11*b**5/60 + 4*b**3/3 + 31*b**2. Differentiate o(k) with respect to k.
22*k
Differentiate -234 + 220 + 22*b + 0*b wrt b.
22
Let x be (-4)/(3 - (-10)/(-2)). Find the second derivative of -3*d**x + d**2 + 3*d**2 + 4*d wrt d.
2
Let r be 8/(-6) + (-175)/(-21). Find the second derivative of -9*y**4 + r - 9*y - 7 wrt y.
-108*y**2
Let n(c) be the first derivative of -7*c**3/3 - 8*c - 1. Find the first derivative of n(g) wrt g.
-14*g
Let v(w) be the second derivative of 0*w**2 - 1/5*w**5 + 0 + 0*w**3 + 1/6*w**4 - 2*w. What is the third derivative of v(y) wrt y?
-24
Let t(c) be the third derivative of 0*c**3 + 0 + 0*c - 1/8*c**4 - c**2 + 0*c**5 + 1/40*c**6. Find the second derivative of t(y) wrt y.
18*y
Let k(h) be the second derivative of -7*h**6/15 + h**4/6 + 14*h**3/3 + 4*h + 8. What is the second derivative of k(b) wrt b?
-168*b**2 + 4
What is the second derivative of -17*m**2 + 10*m**2 + 14*m + 24*m**2 + 21*m**2 wrt m?
76
What is the third derivative of w**3 + 3*w**3 - 6*w**2 - 4*w**3 + 5*w**4 wrt w?
120*w
Let l(n) be the first derivative of 14*n**5/5 - 37*n + 5. What is the derivative of l(r) wrt r?
56*r**3
Let o(r) be the first derivative of r**6/40 - r**4/24 - r**2/2 - 2. Let x(b) be the second derivative of o(b). What is the second derivative of x(h) wrt h?
18*h
Let a(h) = h**2 + 5*h - 7. Let q be a(-7). Differentiate -3*g + 5*g + 5 + q*g wrt g.
9
Let y(b) be the second derivative of b**7/42 - b**4/12 - 3*b. Find the third derivative of y(d) wrt d.
60*d**2
Find the first derivative of 25*s**4 + 2*s - 203 + 211 - 2*s wrt s.
100*s**3
What is the second derivative of -4*z + 5*z + 4*z + 8*z**2 wrt z?
16
Differentiate 6*b - 91 + 6*b + 96 wrt b.
12
Let u(r) = r**2 - 2*r - 3. Let n be u(4). Let l be 7/4 - (-2)/8. What is the second derivative of l*o + 2*o**2 - 2*o**2 - 3*o**n wrt o?
-60*o**3
Let b = -8 + 10. Let w be 0 + 1 + 0 + b. What is the first derivative of -w*r + 0*r + 3*r - r + 2 wrt r?
-1
Let n(j) be the third derivative of 23*j**9/504 + j**5/15 - 5*j**2. What is the third derivative of n(d) wrt d?
2760*d**3
Differentiate -4*n - 9 + 6*n - 12*n wrt n.
-10
Let g be (0 + 1 + 1)*2. Suppose -j + 7 = -g*p, 3*j - 3 = 3*p + 9. Find the second derivative of j*v - 6*v + 5*v - 2*v**3 wrt v.
-12*v
Let r = -17 - -52/3. Let a(w) be the second derivative of 3*w + 0 + r*w**3 - 3/2*w**2. What is the derivative of a(h) wrt h?
2
Let h(g) = -g + 1. Let b(t) = -t**2 - 6*t + 8. Let i be b(-7). Let f(u) = -u**2 - 4*u + 7. Let x(m) = i*f(m) - 4*h(m). Differentiate x(l) with respect to l.
-2*l
Let i(q) = -72*q**3 + 126*q. Let j(a) = -13*a**3 + 23*a. Let n(y) = -5*i(y) + 27*j(y). What is the second derivative of n(o) wrt o?
54*o
Let w(z) be the third derivative of 0*z**5 + 0 + 0*z**4 + 1/6*z**3 + 1/20*z**6 + 0*z + 2*z**2. What is the first derivative of w(k) wrt k?
18*k**2
What is the second derivative of -98*m + 6*m**2 + 123*m - 32*m**2 wrt m?
-52
Let p(w) be the second derivative of -w**9/3024 - w**5/20 - w**4/6 - 3*w. Let j(a) be the third derivative of p(a). What is the derivative of j(d) wrt d?
-20*d**3
Suppose 4*w - 12 = -2*s, 4*w + s + 0*s = 14. Suppose w*q + 0*q - 8 = 0. What is the third derivative of -2*u**6 + q*u**2 + u**6 + 0*u**6 wrt u?
-120*u**3
Let r(p) = 90*p**3 + 36*p**2 + 24*p - 24. Let i(n) = 18*n**3 + 7*n**2 + 5*n - 5. Let w(j) = -24*i(j) + 5*r(j). Find the third derivative of w(z) wrt z.
108
Let w(g) be the first derivative of 0*g**2 + g - 1 + 0*g**3 + 1/4*g**4. Differentiate w(x) wrt x.
3*x**2
Differentiate 172 - 7*l**2 - 11*l**2 - 162 with respect to l.
-36*l
Let o(y) = -9*y**3 - 9*y**2 + 21*y - 21. Let q(m) = -2*m**3 - 2*m**2 + 5*m - 5. Let s(p) = -5*o(p) + 21*q(p). Find the third derivative of s(k) wrt k.
18
Let a(l) = -l**2 + 6*l - 4. Let f be -1*(0/(-1) - 4). Let y be a(f). Find the second derivative of 3*x + 2*x**y - 5*x**4 + x**4 wrt x.
-24*x**2
Let f = 1537/12 - 128. Let g(x) be the second derivative of 0 - 1/3*x**3 + 0*x**2 - f*x**4 + x. What is the second derivative of g(h) wrt h?
-2
Find the second derivative of 13*n - 30*n**2 - 9*n + n**2 wrt n.
-58
Let d(l) = 9*l**4 - 5*l**3 - 11*l + 5. Let i(a) = -5*a**4 + 2*a**3 + 6*a - 2. Let o(q) = -6*d(q) - 11*i(q). What is the first derivative of o(t) wrt t?
4*t**3 + 24*t**2
What is the third derivative of 19 - 4*j**5 - 7*j**5 - 19 + 4*j**2 wrt j?
-660*j**2
Let c = 9 + -7. Find the first derivative of -6 + 2 + c - 2 - k**3 wrt k.
-3*k**2
Let d(n) be the second derivative of -11/2*n**2 + 2*n + 0 + 3/10*n**5 + 0*n**4 + 0*n**3. What is the first derivative of d(y) wrt y?
18*y**2
Let u(v) = v + 12. Let t be u(-9). Suppose d + d = 0. Find the second derivative of -q**3 - q**3 + 3*q**3 + t*q + d*q wrt q.
6*q
What is the second derivative of -16*l - 3*l**5 - 9*l**5 + 5*l**5 - l**5 wrt l?
-160*l**3
Let s be (-8 + 7)*-1*5. What is the third derivative of -c**2 - 7*c**s + 0*c**5 + 4*c**5 wrt c?
-180*c**2
Let m(u) = -u**4 - 3*u + 4. Let i(j) = -j - 1. Let f(t) = 3*i(t) - m(t). What is the derivative of f(g) wrt g?
4*g**3
Let a(g) be the third derivative of -g**5/10 + g**4/8 + 8*g**2. What is the second derivative of a(t) wrt t?
-12
Find the second derivative of 77*i**3 - 77*i**3 + 8*i**4 - 2*i**4 + 17*i wrt i.
72*i**2
Suppose 0 = 5*c + 7 + 28. Let j = c - -11. Differentiate j*m**3 - 2*m**3 - m**3 - 2 with respect to m.
3*m**2
Suppose -5*n + 44 =
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{
"pile_set_name": "DM Mathematics"
}
|
*k - 2*d - 2*d + 84, 2*d - 54 = -2*k. Let v be ((-18)/k)/(9/(-48)). Solve -2*z + 4 = -3*c + 5*c, 0 = -4*z + v*c for z.
1
Let g be 3*(-11)/((-66)/40). Let l be g/4 - (1 - -2). Suppose 3 = x - l. Solve x*s - 2*b - 2*b = -37, 5*b = s + 20 for s.
-5
Let u(n) = -n**3 + 39*n**2 - 77*n + 117. Let j be u(37). Solve 3*w + 5*o = 4*o - 8, -w = o + j for w.
-1
Suppose -3*a = -o - 9, -2*a - 4*o = 10 - 2. Solve -5*x = -3*q - 7, 3*x + a*q = -0*q + 8 for x.
2
Let q(y) = 4*y**2 + 37*y + 13. Let i be q(-9). Solve -4*k + 8 = -i*s, 18 = 2*k + k + s for k.
5
Suppose -5*h - 33 - 27 = 0. Suppose 75 = 2*l + 3*l + 4*x, 4*l - 60 = 5*x. Let z = h + l. Solve 2*d = -5*f - 9, -4*d - 16 = 5*f - z for d.
-2
Let g = 60 - 58. Suppose -17 = -3*d - g. Solve 5*y + 5*q + 24 = q, -y - d*q - 9 = 0 for y.
-4
Let y(p) = 2*p - 17. Let s be y(10). Suppose -6 = -s*v + v. Let j = -4 + 6. Solve v*i = -j*w + 15, -5*i = -0*w - 4*w - 3 for i.
3
Let m(l) = l. Let n be m(12). Let f(g) = g**3 - 10*g**2 - 25*g + 12. Let d be f(n). Solve v - 8 = -v + 2*b, d = 2*b for v.
4
Let u = -90 + 93. Solve -3*l = 2*s - u, 2*l = 3 - 5 for s.
3
Let t be (9/21)/((15/70)/1). Solve -2*h - 4*k = -6*h - 28, t*h = 5*k - 20 for h.
-5
Suppose s - 4 + 5 = -n, -2*s - 5*n = 8. Let x be (10 - 7)*(s - 0). Solve 3*b = j + 2*j - 12, -5*b = -x*j + 10 for b.
1
Suppose 4*a = 2*a + 10. Suppose -2*s - 11 = -3*m + 62, -m = 3*s - 39. Suppose 3*b - m - 12 = 0. Solve 3*d = 2*g + g + 15, -d + a*g = -b for d.
3
Let s(n) = -n + 1. Let f be s(-2). Let d be (5/25)/((-15)/(-375)). Solve 4 = -t - i, f*t + d*i + 11 = 3*i for t.
-3
Let b = -141 + 141. Solve -x + h + 2*h = -3, b = -4*x + 4*h + 12 for x.
3
Let l(j) = -21*j - 229. Let u be l(-11). Suppose 3*g - 30 = 5*t, 2*g - 2 = -3*t - 1. Solve -3*i = -0*c + 5*c + g, u*c = -2 for i.
0
Let w = -69 - -77. Suppose 5*u + 10 = 0, -5*j - 5*u + 17 - 7 = 0. Solve -5*a + 5 = -3*p, -w*a + 4 = 2*p - j*a for p.
0
Suppose -4 = -g + 1. Suppose -1 = 2*z + u - 0, -3*z = 4*u + 14. Suppose -3*v + 17 - z = 0. Solve g*m - 17 = 4*o - 1, 3*m - v*o = 20 for m.
0
Let a = -121 + 131. Suppose 8*t - 3*t = a. Solve 5*q = -t*k - 0*q + 7, -3*k = -3*q + 21 for k.
-4
Let v(q) = 12*q + 7*q - 17*q - 2. Let t be v(5). Let p be 2/(-2) - (t - 11). Solve -3 = -i - 2*y, 3*y - 10 = -3*i + p for i.
5
Let o(j) = 7*j - 30. Let w be o(5). Solve z + 3 = 0, -4*b + 5*z = -w - 10 for b.
0
Suppose -2*g = 3*x - 3, 7 = -4*x + 11. Solve -5*f = -g*s + 5*s, -s = 0 for f.
0
Let j = -81 + 106. Suppose -21*t + j*t = 20. Solve -5*a = 20, -t*n = -2*a - 0*a - 13 for n.
1
Suppose -4*y - 6 = -k, -2*k = -6*k + 2*y + 24. Let n be ((-70)/6)/(-5) + (-2)/k. Solve -b = 2*x - 5, 2*x + 5 = b - n*x for b.
5
Let x be 2*5*12/40. Suppose 5 = -4*n - 11. Let j = n - -9. Solve j*c = -5, -c = -x*b + 2*c for b.
-1
Let t(n) = -n**3 - 4*n**2 - 7*n - 4. Let y be t(-4). Let u be (y/36)/(2/6). Solve 3 = 4*o + a + 20, -u*o - 19 = -3*a for o.
-5
Suppose 6*d - 2*d = 0. Let a be d - (-3)/6*-4. Let s be (a - (-11)/3)*3. Solve 3*u = s*k - 4, 2*u + 0 = -k + 6 for k.
2
Let s(h) = h**3 - 4*h**2 + 3*h - 7. Let l be s(4). Solve -4*y = 5*c + 15, l*y - 9 = c + 2*c for y.
0
Suppose -6*p - 3*p = -36. Suppose 5*r + p*r = 18. Solve -r = 5*s - 4*u - 21, 3*s - 2*u = 11 for s.
3
Suppose 2*c + 140 = 144. Let r = -12 - -16. Solve c*u - r*w + 3 = -w, -4*u + 2*w - 10 = 0 for u.
-3
Let y = 25 - 22. Suppose 4*v - 4*s = 3*v + 35, -5*s = y*v - 20. Solve -3*l = -2*l, v = 3*b + l for b.
5
Let b(j) be the second derivative of j**3/3 - 4*j**2 + 19*j. Let m be b(5). Solve 2*t - 9 = 3*u - 2*t, 5*u - m = t for u.
1
Let z(d) = d**3 + 23*d**2 - 23*d + 26. Let q be z(-24). Solve 3*f = -4*y - 14, -4*f = -q*y + 1 + 3 for f.
-2
Let p be (-3 - 27/(-15))/(3/(-80)). Let c be ((-3)/(-6) + 0)*p. Solve -c = -4*a + 4*w, -a - 5*w = 6 + 8 for a.
1
Suppose -5*k - 2*z = 4, -66*k - 5*z - 10 = -64*k. Solve 6*w + 20 = w - 4*g, k = -w + 3*g - 4 for w.
-4
Let x(w) = -7 - w + w - w. Let m(q) = 5*q + 1. Let h be m(-2). Let a be x(h). Solve -2*f - 14 = p, -a*p + 3*p = 3*f + 11 for f.
-5
Let g(h) = -h**3 + 9*h**2 - 10*h + 12. Let y be g(8). Let x be 0/(7 + -4) - y. Suppose x*t = -t. Solve t = -2*l - 2*a - 0*a - 4, 3*a = 2*l - 16 for l.
2
Let u be (-5)/(-2)*(1 + 1). Let d be ((3/9)/(-1))/((-4)/12). Suppose y - u = -k + d, -6 = -3*k. Solve y = 2*m + 5*o + 8, 2 = -o for m.
3
Let t = 8 + -1. Let n be 83/(1*(-5 + 4)). Let y = n + 108. Solve 3*d - t*d = h + 15, d - 4*h + y = 0 for d.
-5
Suppose c = q + 8, 2*q - 20 = -3*c + 4*q. Solve 3*m + 2*r = -2*m - 30, 4*r + 4 = c*m for m.
-4
Suppose 373 = 49*g + 128. Solve -2*o - 10 = -3*r, -g*o + 4*o - 11 = -3*r for r.
4
Let h = -46 + 72. Suppose -2*x - h = -15*x. Solve -l = -w, 0 = l - 0*l - 2*w + x for l.
2
Let b be 6/14 + ((-46206)/126)/(-17). Solve -3*c = 9, 5*n + 3*c - 2*c = b for n.
5
Suppose 2*d = -w + d + 1, -9 = -2*w + 5*d. Let c be 1170/10*2/(-3) - 1. Let i = 82 + c. Solve -w*x + x = p + 5, i*p = -4*x - 16 for p.
-4
Let z(d) = 8*d - 3. Suppose -4*t + 14 = -2*j, -2*t + 3*t = 3*j + 1. Let a be z(j). Solve a*y - 2*p - 37 = 2*p, 6 = 3*y + 3*p for y.
5
Let a be (-10)/(-12) - (220/(-24) - -9). Solve -b + 3*t + a = t, -b + t - 2 = 0 for b.
-5
Suppose -11 = -3*c - 2*i, -3*c - 4*i = 2 - 9. Suppose -c = 4*a - 5*a. Solve -5*m = -2*x - a - 4, -3*x + 5*m = 6 for x.
3
Let k be 16*(-6)/(-15)*(-10)/(-2). Let v = -27 + k. Solve -3*d = 2*d + 5*x - 20, v*x - 20 = 2*d for d.
0
Let s(y) = y**3 - 4*y**2 + 3*y + 3. Let q be s(3). Suppose 56*k = 67*k - 220. Solve 3*w + k = q*l - w, 4*w + 16 = 2*l for l.
4
Let q be 3*10/45*(-504)/(-14). Let u be (-27)/(-1 + (0 - 0)). Solve 0*k - 4*k + 3*z - q = 0, -5*k - u = -3*z for k.
-3
Let k = -6 + 18. Suppose 0 = 5*g - 2*g - 45. Suppose -5 = 5*x + 2*j - 3*j, -5*x - 3*j + g = 0. Solve 0*f = -2*m + 5*f - k, x = m + 3*f - 16 for m.
4
Suppose 0 = -4*z - 31 + 3. Let y = z - -4. Let n be y/(-2*1/2). Solve -3 = 5*q - 2*k - 2, 3*k + n = 3*q for q.
-1
Suppose -2*t - 15 = -5*t. Suppose 5*w - 5 = 0, -4*m + 3 = 3*w - 8*w. Let l = 655 + -653. Solve -t*f - 2 = -m*d, 3*f + l*f + 5*d = -30 for f.
-2
Let l be (-3 + 5/3)/(3/(-54)). Solve -2*u + 0*u - 8 = -4*p, l = 4*p + 2*u for p.
4
Let d(z) = -2*z - 1. Let u be d(0). Let k(r) = -17*r - 3. Let f be k(u). Solve 0 = -2*l + m - f, 0*l + 2*m + 7 = -3*l for l.
-5
Let h = 101 + -96. Let s = -1 + 3. Let n be 48/18 + s/6. Solve -4*q - 3 - 1 = -h*k, n*k - 2 = 2*q for k.
0
Suppose 0 = -b + 4*b - 6. Let o be (9 - 9)/(0 - b). Suppose -4*w + 0*w + 8 = 0. Solve 0*a = 3*a + w*j + 14, o = 5*a - 2*j + 2 for a.
-2
Suppose 0 = 7*i - 2*i - 20. Let a be -1 + -2*i/(-8). Suppose 3*q - 7 - 5 = a. Solve -4*t = s + 1 + 8, -q*s - 6 = t for s.
-1
Suppose -12*z = -14*z + 8. Let x be (z - 5)*(-1 - 4). Let i = -2 + x. Solve -2*s + 4 = 0, 1 + 22 = i*c + 4*s for c.
5
Suppose 124*j = 122*j + 50. Solve 3*w + 0*w = -3*g, 0 = 4*g - w + j for g.
-5
Let p(i) = i - 1. Let h be p(-7). Let l be (-18)/(-8) - h/(-32). Let u be (-3)/(-2) - l/(-4). Solve 5*k - 4*j + 45 = 18, -4*k + u*j - 18 = 0 for k.
-3
Suppose 0 = -o - 11*h + 8*h - 9, -h = 3*o - 5. Solve 2 = 2*j + 2*n, 3*n - 7 = -o*j + n for j.
5
Suppose 2*u - 84 = 5*u. Let z = u + 28. Suppose q + q = z. Solve -j - 3 = 3*k, q = -4*j - 2*k - 12 - 0 for j.
-3
Let d = 54 - 47. Let l(h) = -h**2 + 10*h - 16. Let q be l(d). Suppose -t = 5, i + i - 3*t - 23 = 0. Solve q*c = 4*r - 21 + 5, 0 = -i*r - 2*c - 12 for r.
-1
Let x be 2*-19*3/(-6). Suppose -x = -5*b + 3*r, -b - 6*r + 15 = -r. Suppose -3*p - 8 = -6*n + 2*n, -3*p + 37 = b*n. Solve 14 + 1 = -5*h, 3*h = m - p for m.
-5
Suppose -3*i = -52 - 38. Suppose -3*c + 13*c - i = 0. Solve -2*u + c*u + 2 = -3*h, 4 = 2*u - 2*h for u.
1
Let i(d) = d**3 + 3*d**2 - 3*d + 1. Let x be i(-3). Suppose 35 = 5*b - 4*g, x = -3*g + g. Solve 8 = 5*y - 0*l + b*l, -3*l - 2 = -5*y for y.
1
Suppose -10 = -49*i + 44*i. Suppose 57*u - 56*u - i = 0. Solve -b - 15 = -5*v, -6*b - u*v = -4*b - 18 for b.
5
Suppose -y + a = -12, 9*y - 5*a - 4 = 11*y. Let l(h) = -2*h - 3. Let o be l(-4). Solve g - o*s + 3 = 0, 4*g = s - y - 4 for g.
-3
Let a be 7*(-1 + 0 + (-18)/(-14)). Let c be (0 - -1)*0/(-2). Suppose -z + c*z = -2*r - 6, 5*r = -z - 1. Solve -a = -3*d + z*d + u, -2*d = 5*u + 19 for d.
3
Let c be (-5)/(20/16) - -7. Let g(p) = -8 + 3*p - 10*p**2 - p**c + 3 - 4*p - 1. Let n be g(-10). Solve 0 = n*y + 3*d + 19, 2*d = -1 - 1 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
5*i - 15 - 11, -2 = q - 3*i. Suppose 3*g + 0*z = -q*z + 329, -g = -2*z - 123. Is g a prime number?
False
Let t = -6 - -13. Let z be 2/t + 20175/21. Suppose -2*h = -5*u + z, -u + 388 = u - 2*h. Is u a prime number?
True
Let c = 1516 + 364. Suppose -9*a - 215 + c = 0. Is a composite?
True
Suppose 156225 = 10*x + 8315. Suppose -2*y - 8877 = -5*y + 3*l, -x = -5*y + 3*l. Is y prime?
True
Let g = -19407 - -82672. Is g a prime number?
False
Suppose 4 = 4*h + 5*n - 24, h - 22 = -5*n. Suppose 0 = 2*t + h*t - 1284. Is t a prime number?
False
Let d be -2 - (9/(-3) - 18). Suppose 2*j - 9 = -i + d, -3*j + 52 = 4*i. Let y = 33 - j. Is y composite?
True
Suppose -n + 7147 = -3306. Is n a prime number?
True
Suppose 42*m - 6 = 39*m. Is ((-471)/5)/(m/(-10)) prime?
False
Suppose 0*x + x - o - 11 = 0, -4*x + 49 = -5*o. Suppose 505 = m + 4*n, -n + x*n = -5*m + 2495. Is m prime?
False
Let l(a) = -a**3 + 4*a**2 - 2*a + 2. Let z be l(3). Let y(k) be the second derivative of 3*k**5/10 - k**4/12 + 2*k**3/3 - k**2 - 27*k. Is y(z) a prime number?
True
Let d(y) = 1807*y**2 + 36*y + 199. Is d(-6) a composite number?
True
Suppose 0 = b - 5*u + 2 + 2, -4*b + 3*u = -18. Let y(n) = 17*n**2 + 3*n - 1. Is y(b) prime?
False
Suppose 32*a - 6 = 35*a. Suppose -5*z - 6 = 9. Is (5/a)/(z/978) a prime number?
False
Suppose 4 = 3*i + n + 4*n, 2*n - 14 = 5*i. Let r be 6/(-4) - 13/i. Suppose k = -2*h + 152, r*h + 2*k - k - 383 = 0. Is h prime?
False
Is 8/52 + 2405466/182 composite?
False
Let n = 11 - 14. Is n/(-5) - ((-12066)/15 + -4) a composite number?
False
Suppose -12 = -0*n - 2*n + 4*g, 4*n = 4*g + 20. Let p be (2/7)/(n/28). Suppose o + 490 = 3*q, 0 = -0*q - 2*q - p*o + 324. Is q composite?
False
Let f(l) be the second derivative of -l**5/20 + l**4/2 - 7*l**3/6 + 9*l**2/2 - 6*l. Let r be f(5). Is (r/1 - 0) + 150 a composite number?
False
Suppose 0 = -3*g - z - 2*z + 9, -2*z = -10. Let p be g/1 - (6 + -8). Suppose u = 5*s + 188, p*u + s + 331 = 2*u. Is u composite?
False
Suppose 4*h - 2*d + 4 = 18, 19 = 5*h - 3*d. Suppose -2*v - 725 = -b - 3665, b = h. Is v prime?
True
Let b be -1 + 24/4 + 3. Let m = b + -7. Is (m/1)/((-2)/(-898)) prime?
True
Suppose 0 = 16*k - 72696 + 17416. Is k composite?
True
Let v be 16/24*122*-3. Let f = -77 - v. Is f prime?
True
Let q = -11353 + 41016. Is q composite?
False
Suppose -d - 24 = d. Is (-440 - d)/(0 - 2) prime?
False
Is 19732/5 + 10*(-42)/(-700) a composite number?
False
Let g(o) = 13*o**2 - 5*o + 5. Let c(w) = 3*w**2 - w + 1. Let f(t) = 9*c(t) - 2*g(t). Let u(r) = 8*r**2 + 4*r. Let v(a) = -5*f(a) + u(a). Is v(-4) composite?
True
Suppose -3890 = 8*t - 13*t. Let r = -547 + t. Is 2 - 2/((-6)/r) prime?
True
Suppose 10*x = 3010 + 10560. Is x composite?
True
Let j = -1 - -3. Suppose -14518 = -30*x - 2218. Suppose y - x + 44 = -4*p, -j*p = 8. Is y a prime number?
False
Let p be (4/(-6))/(3/(-9)). Suppose -3*y - p*y - 5*w = -10, 0 = 4*y - 3*w + 6. Suppose y = 3*x + x - 868. Is x a composite number?
True
Is (-1)/(-2) - 169962/(-52) a prime number?
False
Suppose 0 = -3*n + 2*n + 2*i + 871, 0 = -4*n + i + 3484. Is n a composite number?
True
Suppose 5300 = 55*y - 357645. Is y a composite number?
False
Is (454/(-84) + 38/(-399))*-422 prime?
False
Suppose 0 = -4*y - 1 + 25. Let d(p) = 8*p + 17. Is d(y) composite?
True
Let v = -162 + 158. Let m(a) = 3*a**2 + 0*a**2 - 6*a - 2*a**2 - 1. Is m(v) prime?
False
Let d(s) = 134*s**3 + 10*s**2 + 21*s - 19. Is d(6) a prime number?
True
Suppose 596*u = 591*u + 130265. Is u a composite number?
False
Let d = -23 - -22. Is 154/8 - d/(-4) a composite number?
False
Let l = 6417 - -8714. Is l prime?
True
Let n(t) = -t - 1. Let x(z) = 18*z + 11. Let l(m) = -5*n(m) + x(m). Is l(3) a prime number?
False
Let q = 114 + -117. Is 2/6 + -1 + (-1760)/q composite?
True
Let m = 15 + -23. Let w be 4/m - (-891)/6. Suppose 5*s + w = 9*s. Is s a prime number?
True
Let f(k) = -4*k**3 + 13*k**2 + 7*k + 30. Let b(y) = -7*y**3 + 26*y**2 + 15*y + 61. Let i(t) = -3*b(t) + 5*f(t). Is i(17) a prime number?
True
Suppose -1074 = 2*m - 8*m. Is m composite?
False
Let d = -7839 + 12550. Is d composite?
True
Suppose -t + 37*t - 3443364 = 0. Is t prime?
False
Suppose 0*l - 8 = 2*l. Let c be ((-1)/l)/((-2)/(-40)). Suppose -3082 - 2973 = -c*o. Is o a prime number?
False
Let x = -515 - -832. Is x a composite number?
False
Let t(d) = 7*d**2 - d**3 + 5*d - 10 - d + 0*d**2 - 2*d. Let y be t(7). Suppose -48 = -y*z + 340. Is z composite?
False
Suppose 6815 + 46636 = 9*f. Is f a prime number?
True
Let b(u) = -u**3 - 7*u**2 - 7*u - 4. Let s be b(-6). Suppose 0 = -0*r - s*r. Suppose r = 4*k + 5*y - 576, -3*k + 4*y = -7*k + 580. Is k composite?
False
Suppose 3203 = 17*h - 54410. Is h composite?
False
Let f = 385 - 83. Let z = f - 106. Suppose -2*m + 5*h = -5*m + 275, 3*h = 2*m - z. Is m a composite number?
True
Let j be (-18)/(-8) - (-6)/(-24). Suppose 4*q = j*g - 74, -3*g - q = 2*q - 102. Is g a composite number?
True
Suppose -2*l + 28261 = -5*y, -10*l = -12*l - 5*y + 28311. Is l prime?
True
Let r(z) be the second derivative of z**6/180 + 11*z**5/120 - 7*z**4/12 - 3*z. Let p(t) be the third derivative of r(t). Is p(14) a prime number?
True
Let l be (-3)/(-6)*6*133. Suppose l - 4 = 5*b. Suppose 4*u = 3*u + b. Is u composite?
False
Suppose -2*p + 515 + 4751 = 0. Is p a composite number?
False
Suppose -4*x - 3*s + 117644 = 0, 8223 = x + 5*s - 21188. Is x composite?
False
Let w(b) = b**3 + 22*b**2 - 24*b - 17. Let h be w(-23). Is h/3*1*(-506)/(-4) prime?
False
Let g(y) = -y + 15. Let t be g(12). Let i(p) = p**3 + 13*p**2 - 14*p + 2. Let h be i(-14). Suppose -t*z + 223 = -h*z. Is z a prime number?
True
Let r = -2 + 2. Suppose 0 = -0*u - 5*u + 475. Suppose 0*q + u = 3*y + 2*q, -5*y - 4*q + 159 = r. Is y composite?
False
Let d = 8 + -12. Is (d - 39/(-9))*1137 a composite number?
False
Let k(l) = l**3 + 2*l**2 + 16*l + 6. Let w be k(-9). Let a = 1672 + w. Is a composite?
False
Suppose 0 = 4*n + 6755 - 47091. Suppose 3*f = 7*f - n. Is f prime?
True
Suppose 2268 = 5*o - x, -3*x - 2 = -8. Let h = 831 - o. Is h prime?
False
Suppose -4*u = -8*u - z + 15772, 0 = -2*z. Is u a composite number?
False
Let q = 687 + -114. Let c be (2/(-1))/(1/167). Let p = q + c. Is p a prime number?
True
Let q = 31 + -27. Suppose 0 = -4*v + h - 5*h + 3992, q*h = 20. Is v a composite number?
True
Let x(j) = -4*j**3 + 5*j**2 - 6*j + 16. Let c(l) = 12*l**3 - 16*l**2 + 18*l - 47. Let o(h) = 6*c(h) + 17*x(h). Is o(7) a prime number?
False
Is (1 + 2 - 2)/((-32)/(-25184)) a composite number?
False
Let p(w) = 23*w**2 - 7*w - 2. Let s(n) = -n - 1. Let u(y) = -p(y) - 6*s(y). Let h(x) be the first derivative of u(x). Is h(-9) a composite number?
True
Let d(t) = -t**3 + t**2 - 2*t + 395. Let j(a) = -a**2 + 9*a - 8. Let h be j(8). Is d(h) a prime number?
False
Let k(l) = 11*l**2 - 30*l - 43. Is k(22) a prime number?
True
Suppose -5*o + 11 = -14. Suppose o*g + 3*g - 5960 = 0. Is g prime?
False
Let t(h) be the second derivative of -3*h**5/5 + h**4/6 + h**3/6 - 25*h**2/2 + 2*h + 2. Is t(-6) a composite number?
False
Suppose q + 4*r = -4, 9*q - 5*q + 4*r + 16 = 0. Is 2*251/q*-1*14 a composite number?
True
Suppose -4*b = 21 + 15. Let m be -267*((-3)/b - 1). Suppose 9*d - 7*d - m = 0. Is d composite?
False
Let u be (16/48)/((-2)/(-24)). Is (131/(-4))/(u/(-16)) prime?
True
Suppose -3*x - 5*y = -10846, -4*x + 14194 = -3*y - 219. Is x composite?
False
Let r = -396 - -74. Let i(f) = -f**3 + 15*f**2 + 7*f + 11. Let o be i(10). Let u = o + r. Is u a composite number?
True
Suppose -3*u + 12 = u. Suppose s = u*s - 574. Suppose 0 = r + 5*w - 275, -r = -0*w + 2*w - s. Is r a composite number?
True
Suppose 2*w - 429 = 47. Is (-12)/8*w/(-3) a prime number?
False
Let x = -12763 + 21992. Is x prime?
False
Suppose -3*s + 33 = 8*s. Is s*1/((-9)/(-1902)) prime?
False
Let j = -8960 - -19257. Is j composite?
True
Suppose 0 = 4*r + 3*p - 5*p - 14844, -2*r + 7422 = p. Is r + 3 + 40/8 a composite number?
False
Let n be -1*298*4/1. Let y(g) = -19*g**2 - 248*g - 14. Let p be y(-13). Is (p/4)/(2/n) a prime number?
True
Suppose -5*k + 5*l = -24295, 5*k - 3*l - 36050 = -11751. Is k prime?
True
Let s = -15 - -7. Let n be 4/(-16) + (-2)/s. Suppose n = i + 21 - 76. Is i composite?
True
Let z = -24342 + 36995. Is z composite?
False
Let g = 4 + 1. Su
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{
"pile_set_name": "DM Mathematics"
}
|
Let s be (-176)/(-77) - 4/14. Calculate s*v(x) - 3*a(x).
7*x**3
Suppose 41 = -5*p + 11. Let z(l) = -1. Let x(n) = 9*n + 6. Let t(a) = -x(a) - 2*z(a). Let f(k) = -1968 + 1973 + 19*k - 9*k. Determine p*t(q) - 5*f(q).
4*q - 1
Let f(p) = -2*p**3 - 3*p**2 + 3. Let h = 331 + -152. Let o = h + -176. Let b(r) = r**3 - r**2 + 1. What is o*b(i) - f(i)?
5*i**3
Let d(g) = 6*g**2 - 38*g + 29. Let v(m) = -4*m**2 + 20*m - 15. What is -4*d(q) - 7*v(q)?
4*q**2 + 12*q - 11
Let v(q) = -q**3 - q**2 + q + 1. Let k(l) be the second derivative of -l**5/10 - l**4/4 + 4*l**3/3 + 2*l**2 - 2122*l. Give k(r) - 4*v(r).
2*r**3 + r**2 + 4*r
Let p(f) = 10*f - 2617. Let n(k) = -7*k + 1746. Determine -7*n(w) - 5*p(w).
-w + 863
Let x(v) be the second derivative of v**4/12 - v**3/6 + v**2/2 + v. Let d(c) = 2*c - 1. Suppose 3*t - 97*a = -102*a - 7, -5 = 3*t + 4*a. Give t*d(y) + x(y).
y**2 + y
Let v(d) = -2*d**2 - d + 5. Let c(u) = -u**2 - u + 1. Let w = -2101 + 2102. What is w*v(g) - 5*c(g)?
3*g**2 + 4*g
Let j(f) = 208*f**3 + 3*f**2 + 6. Let b(a) = 205*a**3 + 4*a**2 + a + 10. Give 2*b(t) - 3*j(t).
-214*t**3 - t**2 + 2*t + 2
Let r(v) = 8*v + 11. Let x(n) = -42*n + 1157. What is -5*r(u) - x(u)?
2*u - 1212
Let q(n) = 9*n**3 - 24*n**2 - 6*n - 4. Let i(s) = s**3 - s. Calculate 6*i(o) - q(o).
-3*o**3 + 24*o**2 + 4
Let c(z) = 4*z**2 - z - 1. Let b(q) = 2*q**2 - 7*q - 1. Let y(m) = 15*m**2 - 35*m - 6. Let v(t) = 5*b(t) - y(t). Give -7*c(d) - 6*v(d).
2*d**2 + 7*d + 1
Let r = 7655 + -7659. Let q(d) = d**3 + d - 1. Let k(g) = 3*g**2 - 4*g + 2. Determine r*q(o) - k(o).
-4*o**3 - 3*o**2 + 2
Let b(q) = 18*q. Let h = 2711 - 2716. Let a(k) = -7*k. Give h*b(w) - 12*a(w).
-6*w
Let t(k) = 4*k**3 + k**2 - 3. Let m(z) be the second derivative of z**5/10 + z**4/12 - z**2/2 + 224*z - 2. Give -5*m(c) + 2*t(c).
-2*c**3 - 3*c**2 - 1
Let b = 14 + -17. Let y(s) = -4*s - 5. Suppose 7*v - 10*v + 11 = -k, -4*v - 4*k + 36 = 0. Let o(i) = -3 + 3 - v*i - 6. Determine b*o(q) + 4*y(q).
-q - 2
Let v(y) = 16 - 5*y - 20 - 4*y**2 - y + 2*y + 3*y**2. Suppose -10*r - 4*r = 42. Let q(i) = -3*i**2 - 9*i - 9. Calculate r*q(b) + 7*v(b).
2*b**2 - b - 1
Let j(r) = r**2 + 4*r + 10. Let a(c) = 4238*c - 2122*c - 11 - 2119*c - 2*c**2 + 2. Give 4*a(f) + 3*j(f).
-5*f**2 - 6
Let k(s) = s - 5. Let g(j) = -292*j + 15. What is -g(i) - 4*k(i)?
288*i + 5
Let t(k) = 11*k**3 - 25*k**2. Let y(n) = 2*n**3 - n**2. Determine -t(l) + 5*y(l).
-l**3 + 20*l**2
Let b(o) = -53213*o + 5715. Let j(x) = 251*x - 27. Give 3*b(u) + 635*j(u).
-254*u
Let u(g) = 605*g**3 + 43*g**2 - 14*g + 7. Let s(y) = 302*y**3 + 22*y**2 - 6*y + 3. Determine 7*s(x) - 3*u(x).
299*x**3 + 25*x**2
Let f(x) = -7*x**2 + 34*x - 4. Let t(h) = -30*h**2 + 138*h - 16. Calculate 9*f(a) - 2*t(a).
-3*a**2 + 30*a - 4
Let x(c) = -4*c**3 - 3*c - 4. Let t = -367 + 370. Let g(p) = -2*p + 2*p**t - 19876 + 3*p + 19878. Give -5*g(d) - 2*x(d).
-2*d**3 + d - 2
Let n(a) = 17*a**3 - 12*a**2 + 8*a + 9. Let x(d) = -4*d**3 + 3*d**2 - 2*d - 2. Let s = 8915 - 8906. Give s*x(p) + 2*n(p).
-2*p**3 + 3*p**2 - 2*p
Let w(k) = k**2 + 21*k - 19. Let j be w(1). Let t(x) = x**2 + 1. Let b(v) = -2*v**2 - 2*v - 4. What is j*t(m) + b(m)?
m**2 - 2*m - 1
Let h(q) = -5*q**2 + 15*q - 70. Let x(y) = -3*y**2 + 6*y - 34. Give -2*h(p) + 5*x(p).
-5*p**2 - 30
Let p(a) = 3429*a**2 - 9*a + 3. Let r(i) = 58292*i**2 - 156*i + 52. Give 52*p(k) - 3*r(k).
3432*k**2
Let y(m) = 3*m - 9. Let g(p) = 4*p - 13. Let n be 549/99 - (-30)/(-55). Calculate n*g(c) - 7*y(c).
-c - 2
Let t(x) = 22*x**3 + 246*x**2 - x - 2. Let u(s) = -49*s**3 - 486*s**2 + 2*s + 4. What is 9*t(g) + 4*u(g)?
2*g**3 + 270*g**2 - g - 2
Let w = -12 + 10. Let s(y) = -12*y**2. Let g(v) = -15*v**2 - 10. Let t(u) = -u**2 + 1. Let i(f) = -g(f) - 10*t(f). Determine w*i(n) - 5*s(n).
10*n**2
Let i(x) = -1427*x**2 - 2*x**3 - 3*x + 8 - 1439*x**2 + 2863*x**2. Let l(b) = -b**3 - 2*b**2 - 2*b + 7. Determine -2*i(v) + 3*l(v).
v**3 + 5
Let t(x) = -6*x + 11. Let c = -66 - -67. Let i(h) = 1 + 9 + 4*h - 3*h - 16 + 5. Determine c*t(b) + 5*i(b).
-b + 6
Let i(t) = -7*t**2 - 5. Let y be (7330/15)/(4/6). Let x(c) = -9*c**2 - 740 - c**2 + y. Let v be (-4)/(-6) + (-46)/6. Determine v*i(j) + 5*x(j).
-j**2
Let o(v) = 3*v**2 - 54*v + 2890. Let y(f) = 2*f**2 - 34*f + 1927. What is -5*o(l) + 8*y(l)?
l**2 - 2*l + 966
Let w be 5 - (-56*55/220)/(2 + (-4 - 0)). Let i(q) = 18*q + 47. Let p(x) = -3*x - 8. Let l(c) = 6*i(c) + 34*p(c). Let f(u) = 2*u + 3. Give w*l(k) + 7*f(k).
2*k + 1
Let p(f) = -6*f + 2. Suppose 14*d = -4221 - 1253. Let g = d + 390. Let s(z) = -z. What is g*p(b) + 5*s(b)?
b - 2
Let p(r) = 8460*r**3 - 4*r**2 + 5*r + 15. Let t(a) = -8461*a**3 + 2*a**2 - 4*a - 10. What is -2*p(d) - 3*t(d)?
8463*d**3 + 2*d**2 + 2*d
Let o(x) = -x + 7. Let p(y) be the second derivative of y**2/2 + y. Suppose 2*a - 1 = f, 21*f + 6*a = 3*a + 24. Determine f*o(u) - 6*p(u).
-u + 1
Let k(f) = 2*f**3 + 7*f - 2. Let o(p) = -17*p**3 - 3*p**2 - 3*p + 3*p**2 + 16*p**3 + 1. Let l be -2 - (7 - 45/3). Give l*k(i) + 13*o(i).
-i**3 + 3*i + 1
Let j(l) = -l**2 - l + 1. Let s(h) = 36*h**2 + 45*h - 45. Let y be -1 + 26/22 + (-2485)/55. Let q = 228 - 229. What is q*s(c) + y*j(c)?
9*c**2
Let g(m) = 13*m**2. Let f be (-1918)/685 + (-2)/10. Let p(c) = c**2 + c. Calculate f*p(q) + g(q).
10*q**2 - 3*q
Let a(n) = -45*n**2 + 36*n + 8. Let c(r) = -21*r**2 + 20*r + 4. Let j(q) = -4*a(q) + 7*c(q). Let u(x) = -x**2 - x - 1. What is j(w) - 4*u(w)?
37*w**2
Let g(i) = -2*i**3 + i**2 - 3*i - 1. Let z(o) = 733*o**3 - 3*o**2 + 9*o + 3. Calculate 6*g(d) + 2*z(d).
1454*d**3
Suppose 198 = 3*h + 186. Let g(v) = 77*v**3 - 7*v + 7. Let y(f) = 38*f**3 - 4*f + 4. Calculate h*g(i) - 7*y(i).
42*i**3
Let j(w) = 42*w - 580. Let x(o) = -10*o + 147. Give -2*j(p) - 9*x(p).
6*p - 163
Let d(s) = 641*s + 3. Let p(z) = 638*z + 3. Calculate -6*d(f) + 5*p(f).
-656*f - 3
Let f(x) = 7*x**2 + 43*x + 5. Let b be (-7 - 270/(-40)) + 7/(-4). Let w(g) = -3*g**2 - 21*g - 2. Determine b*f(y) - 5*w(y).
y**2 + 19*y
Let z(x) = -115*x. Let y = 547 + -545. Let g(f) = -29*f. Give y*z(t) - 9*g(t).
31*t
Let k(m) = 7*m + 16*m**2 - 2852 - 2855 + 5700. Let h be (-4)/(-10) + (-23)/(-5). Let v(b) = -11*b**2 - 5*b + 5. Give h*k(s) + 7*v(s).
3*s**2
Let m(n) = -n - 1. Suppose 19 - 28 + 20 = 11*f. Let u(r) = 5*r - 4. Determine f*u(t) + 4*m(t).
t - 8
Let i(m) = 44*m - 34. Let v be i(2). Suppose -4*o + v - 26 = 0. Let q(z) = 28*z**2 + 7*z - 10. Let y(u) = -9*u**2 - 2*u + 3. Give o*y(h) + 2*q(h).
-7*h**2 + 1
Let n be (8 + -7)/((3 + -4)/(-359)). Let m(v) = 7 - 351*v - n*v + 725*v. Let z(s) = 5*s + 2. Let c = 4 + -11. Give c*z(g) + 2*m(g).
-5*g
Let m be 217/(-62) + (-9)/(-2). Let d(i) be the second derivative of -i**4/3 - i**3/2 - i**2/2 + 4*i. Let c(v) = v**2 + v + 1. Calculate m*d(k) + 3*c(k).
-k**2 + 2
Let c = 240 - 324. Let o be (-60)/c - (-2 + 24/14). Let s(q) = 1. Let p(m) = 6*m + 36. Calculate o*p(w) - 36*s(w).
6*w
Let q(t) = -968*t + 33. Let d(k) = 247*k - 8. What is -9*d(l) - 2*q(l)?
-287*l + 6
Let a(x) = -5*x**2 - 9*x - 6. Suppose 36*i + 8*i = 2*i + 546. Let c(t) = 11*t**2 + 19*t + 13. What is i*a(p) + 6*c(p)?
p**2 - 3*p
Let g(x) = -4*x**3 + 6*x**2 - 22*x - 9. Let s(a) = a**3 + 4*a + 1. Calculate -g(w) - 5*s(w).
-w**3 - 6*w**2 + 2*w + 4
Let w(a) = -2*a**2 - 2*a. Suppose -6*v + 2*v - 18 = -7*v. Let b(l) = -2*l**2 - l**2 - 2*l + 2*l**2. Calculate v*b(r) - 5*w(r).
4*r**2 - 2*r
Suppose -6*u + 18 = -6. Suppose 0*i - 5*i - 13 = -2*z, u*z = -5*i + 11. Let y(t) = 5*t + 4. Let c(b) = -6*b - 5. Calculate z*c(a) + 5*y(a).
a
Let a(s) = -34*s**3 - 3*s + 3. Suppose -3*n + 4*l = -1, 3*l = 5 - 17. Let y(q) = 67*q**3 + 5*q - 5. Calculate n*a(u) - 3*y(u).
-31*u**3
Let v(s) = 48*s**3 - 20*s - 8. Suppose -4 = -3*d - 4*h - 25, -9 = 5*d - 2*h. Let w(t) = -7*t**3 + 3*t + 1. Calculate d*v(j) - 20*w(j).
-4*j**3 + 4
Let f(u) = 4107*u - 28. Let p(t) = 4106*t - 23. Give -5*f(x) + 6*p(x).
4101*x + 2
Let u(c) = -319*c - 175. Let o(q) = 320*q + 132. Determine 4*o(m) + 3*u(m).
323*m + 3
Let z(y) = 1 + 5*y - 6*y**2 + 2*y**3 + 4*y**2 + 3. Let l(s) = -4*s - s**3 - 1571972 + s**2 - s**3 + 1571969. Determine 4*l(j) + 3*z(j).
-2*j**3 - 2*j**2 - j
Let z(w) = -w - 1. Let a(u) = 30*u + 2. Give a(o) + 4*z(o).
26*o - 2
Let h(m) = m**3 + m**2 - 3*m - 1. Let a be (4 + 1)*(1 - 0). Let j(r) = -1 + 2*r**3 + 2*r**2 - 1 + 6499*r - 6504*
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{
"pile_set_name": "DM Mathematics"
}
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- 11*c = 6*c for c.
0
Let k be -3*(-132)/189 - (-30)/(-315). Suppose -3*y + 4*n = -6*y + 38, -4*n - k = -y. Solve 0 = y*x - 11 + 1 for x.
1
Let p(z) = -2*z - 26. Let h be p(13). Let j = h + 50. Let d be (9/21)/(j/(-14)). Solve -16 = -w - d*w for w.
4
Let r = -212 - -359. Solve 151 - r = 4*q for q.
1
Suppose -2*x = 4*n + 2 + 4, 5*x = n + 29. Suppose 5 - x = -5*p. Suppose p = -0*q - 4*q + 12. Solve j = q - 6 for j.
-3
Let c = 9704 - 9576. Solve -40*i - c - 32 = 0 for i.
-4
Let c be (52/(-12) - -5)/(-8*(-3)/1440). Solve 0 = u + 33 - c for u.
7
Let c = 329 + -326. Suppose -5*t + 11 = -w, -3*w + 6 = -c*t - 9. Solve 0 = -s - 2*s - w for s.
-3
Let u = 917 + -825. Suppose 32*y - u*y + 1080 = 0. Solve y*d = 3*d for d.
0
Suppose 43*u + 4089 = 184*u. Solve -u*h + 18 = -38*h for h.
-2
Suppose -4*s + 2*g = -22, -396*g + 25 = -5*s - 401*g. Let k(u) = 2*u**2 - 3. Let z be k(2). Solve z = -s*p + 13 for p.
4
Let r = -960 - -981. Solve 0 = 7*a - 35 + r for a.
2
Let w be (-68709)/(-444) + (-1)/(-4). Solve 88 = -w*r + 166*r for r.
8
Let m(c) = 36*c**3 - 3*c**2 - 7*c - 2. Let d be m(-2). Let i = d + 292. Solve -x + i = 5 for x.
-1
Let n = -12 + 20. Suppose 5*u + 51 = 3*r, -5*r - 207*u + 203*u + 11 = 0. Solve a + n = r for a.
-1
Let p(f) = -f**2 - 5*f - 6. Let x be 4/6 + (2 - (-51)/(-9)). Let g be p(x). Suppose g = -u + 2. Solve u*c + c = -15 for c.
-5
Let l = 602 + -597. Let w be 0*((-1)/12)/(l/15). Solve w = -4*y + 2*y - 4 for y.
-2
Suppose -3*v - 40*v = -7052. Suppose v*a + 10 = 174*a. Solve -a = -2*z + 9 for z.
5
Suppose 2*b + 249 = -3*m, 3*b + 2*b = -3*m - 627. Let l be ((-6)/(-8))/3 - b/8. Suppose -4 = 4*v - l. Solve -2*o = -v*o - 1 for o.
-1
Let i be (-4560)/5016*(-2 - (-7)/(-2)). Solve 4*z - 23 = i for z.
7
Suppose -692 = 10*o - 3422. Let p = 282 - o. Solve p*d + 12 = 3*d for d.
-2
Suppose -2*h = -2*o - 3*o - 18, -3*h + 3*o + 27 = 0. Suppose 267*f = -248*f + 23*f + 984. Solve -h + 9 = -f*b for b.
0
Let q(g) = -g - 9. Let j be q(-14). Let u(m) = -m - 25. Let o be u(j). Let z = o + 50. Solve 8*x - z = 3*x for x.
4
Suppose 2126*g - 382 = 1935*g. Solve 492 = -g*a + 478 for a.
-7
Let o be -2 + (5 + 101 - 0). Let s = 115 - o. Solve 0 = a - 16 + s for a.
5
Let a(f) = -f**3 + 2*f**2 - f - 4. Let j be a(2). Let r be (-2 - -2)*((-21)/j - 3). Solve n - 2*n = r for n.
0
Suppose -35 = 3*f - 10*f. Suppose 7 = -y - 0*y. Let r be (y - (-106)/6) + (-2)/(-6). Solve -r + 1 = -f*p for p.
2
Let q = 46 + -77. Let m = q - -42. Let l(s) = 5*s + 38. Let x be l(-7). Solve x*b + m = 2 for b.
-3
Let m(s) = 278*s + 5154. Let n be m(-18). Solve 108*k - 390 - n = 0 for k.
5
Suppose 0 = 22*l + 4*l - 104. Suppose 0*f = -3*f - l*f. Solve f = 4*b + 3*b - 14 for b.
2
Let j = 6718 - 6694. Solve -821*w = -825*w - j for w.
-6
Let r = -4331 + 4356. Solve 0 = -13*l + 12 - r for l.
-1
Suppose s = -4*s + 2*p + 121, p - 52 = -2*s. Solve 253 = s*h + 28 for h.
9
Let t(a) be the first derivative of a**3/3 + 4*a**2 + 7*a + 1. Suppose 4*m - 4*o = -16, -5*m - 3*o - 50 = 2*o. Let z be t(m). Solve -q + 1 - 2 = z for q.
-1
Suppose 0 = 4*u - u - 162. Let z = 58 - u. Suppose -z*r - 10 = -22. Solve 5*c = -8 + r for c.
-1
Suppose 17*z - 910 = -10396. Let a = -542 - z. Solve 0 = -5*p + 13*p - a for p.
2
Let o(d) = 42*d - 5*d**2 + 277 + 3*d**2 - 233. Let x be o(22). Solve -41*i + 43*i - 8 = x for i.
4
Suppose -o + 20 = 3*o. Suppose 4*y + 21*y + 34*y = 236. Solve -y*t + 5 = -o*t for t.
-5
Let y = 16 + -120. Let t be y/(-28) - 8/(-28). Solve -t*f + 24 = 4*f for f.
3
Let l = 12 - 10. Let h = 10698 - 10695. Solve l*z = -3 - h for z.
-3
Suppose -2*y + 1204 = 4*j, 3*y - 14*j + 9*j - 1817 = 0. Let x = -599 + y. Solve 5*n + 20 = x for n.
-3
Suppose -4*g = 2*n - 2*g, 2*n - 2 = -g. Suppose f - 4*f - 5*p - 8 = 0, 0 = 2*f + 3*p + 4. Let t(r) = -11*r - 1. Let x be t(-1). Solve -n - x = -f*y for y.
3
Suppose -28 = -2*p + c, -5*p + 3*c + 38 + 34 = 0. Let s be (-653)/(-7) - (2 + p/(-7)). Let w = s - 93. Solve -4*f = -w*f for f.
0
Let x be -40*(-16)/64 - 3. Solve x*v + 1442 = 1498 for v.
8
Let m be (-1078)/(-22)*((-20)/6)/(4/(-6)). Solve -m = 23*p - 268 for p.
1
Let p(r) = r**2 - 11*r + 12. Let w be p(11). Let f(g) = -g**3 + 25*g**2 + 182*g + 126. Let l be f(31). Solve l*u = 4 - w for u.
-4
Suppose 5*o - 18 - 32 = -3*v, v - 2*o = 24. Solve -14*s - v = -18*s for s.
5
Suppose -7*f + 5 = 103. Let b = -14 - f. Let p be (3/(-6))/(-1)*b. Solve p = -2*m - 0*m + 2 for m.
1
Let x(n) = 106*n**2 + 14*n - 1. Let b be x(1). Solve 11*y - b = -42 for y.
7
Suppose 0 = 3*v - 0*v - 6. Suppose -137 + 162 = 4*h + k, -h + 1 = 2*k. Solve 1 + h = v*o for o.
4
Suppose -5*r = u - 13, -r + 3 = -u - 2. Let m be 0 - 2/u*3. Suppose -58*l = -41*l. Solve l = j - m for j.
3
Let s(h) = -2*h**2 + 28*h - 15. Let y be s(14). Let f be (-129)/y - 8/(-20). Solve -5*a = 24 - f for a.
-3
Let s be (-860)/110 + (-2)/11. Let u be ((-20)/s + 1)/((-1)/(-4)). Solve 4*k + u = -3*k for k.
-2
Let f(o) = 12*o**2 + 14*o + 5. Let r be f(-2). Solve 0 = r*m + 8 - 33 for m.
1
Let c be 0 + 57 - 13/13. Solve -41 = -5*j - c for j.
-3
Let i be 8/(-4)*5/(-2). Suppose -i*q - 4*z + 7 = 0, -5*z = -5*q - 3*z + 19. Solve -5*d - q = -4*d for d.
-3
Suppose -4*h - 7980 = 16*h. Let p = h + 429. Solve -25*f + p*f + 25 = 0 for f.
-5
Let a(w) = 6*w - 8. Let c be 184/(-115)*(0 + 4 - -1). Let q be a(c). Let s = q - -57. Solve 0 = -x + s - 3 for x.
-2
Let y = 16 - 12. Let i be (9 - 9) + y + -2. Suppose 2 = p + f, f + 2*f + 4 = i*p. Solve a - p*a = 0 for a.
0
Let u = -159615 + 159619. Suppose -3*d + 0*d + 15 = 0. Solve -d*v = -u*v for v.
0
Suppose -c - 2*s + 112 = 0, -3*c + 5*s - 340 = -6*c. Let i = 125 - c. Suppose 4*p + y = -0*p + 4, -i*y + 20 = -p. Solve -2 = -p*a - a for a.
2
Let c(w) = 4*w**2 + 5*w + 6. Let k be c(-8). Let v = 223 - k. Solve v = -n - 0*n for n.
-1
Let v(h) = -h**3 + 21*h - 19. Let u be v(4). Solve m - u = 3 for m.
4
Let l be (-584)/(-6) + 4/(-12) - (3 - 6). Solve 28 = -9*b + l for b.
8
Let s(v) = 4*v + 60. Let r = 424 + -438. Let j be s(r). Solve j*z - 2*z + 2 = 0 for z.
-1
Let i = 283 + -279. Let c(y) = -y**3 + 3*y**2 + 4*y - 5. Let x be c(3). Solve i*z - 6 = x*z for z.
-2
Let g(h) = -h**2 - 5*h + 38. Let x be 7/((-448)/(-24)) + 150/(-16). Let l be g(x). Solve l*m = -m + 9 for m.
3
Let q(y) = -5*y + 93. Let x be q(15). Suppose 12 = -3*o + x. Solve -3*u - 8 + o = 0 for u.
-2
Let q be ((-14)/49)/(((-77)/(-588))/(-11)). Solve -11*m = -17*m - q for m.
-4
Let w(j) = -5*j + 80. Let i(u) = u**3 - 16*u**2 - 16*u - 4. Let z be i(17). Let a be w(z). Solve 2*r + 5 - a = 0 for r.
5
Let k = 6180 - 6172. Solve 0 = -k*q + 9*q - 6 for q.
6
Suppose t = 2*t - f - 3, 0 = -3*t + f + 9. Suppose -l + 5 = 2*m, t*m - 4*l = 16 - 3. Solve -m*x + 7 - 22 = 0 for x.
-5
Suppose -20 = -135*y + 139*y, 0 = -5*m - 3*y + 295. Solve -35*z = m*z - 388 for z.
4
Let j = 3555 - 3452. Solve -101*l = -j*l for l.
0
Let n(a) = -a**2 + 3*a. Let t be n(3). Let c be -5*((-16)/(-5) + t - 5). Solve 14*r = 11*r + c for r.
3
Let s be (2*(-18)/24)/(3/(-122)). Suppose 0 = 3*q + 2 + 1, s = -4*c - 5*q. Let b be -1 + 5 - c*1. Solve 4*i - b - 2 = 0 for i.
5
Let v be 2/4*-15*50/75. Let u = v - -29. Suppose 28*z - 30*z + u = 0. Solve z = -r + 4*r for r.
4
Let u(i) = -575*i + 2300. Let k be u(4). Solve 108*q - 100*q = k for q.
0
Let r(y) = -155*y - 305. Let h be r(-2). Suppose d - 17 = 2*b, -3*b = 3*d - 36 - 15. Solve -12*v - h = -d for v.
1
Let i be -13 + (220 - 12/(-3)). Solve i + 34 = 49*r for r.
5
Suppose -100 = -9*x - 11*x. Suppose -2*n = 3*v - 21, -x*n + 4*v - 7 = -2. Solve 5 = 2*g + n for g.
1
Let r = -26115 + 26400. Solve -r + 173 = 14*h for h.
-8
Let v = -85 + 98. Suppose -5*z - 35 = -a, -3*a - z - v = -38. Solve 11*c - 6*c = -a for c.
-2
Suppose 3*r = 3*l + 6, 2*l + 1 = 4*r - 3. Suppose -3*w - 2*w + 2*p = -6, r = -p - 3. Suppose 3*q = 2*o + 19, o - 12 + 5 = -4*q. Solve w*n = -q*n + 12 for n.
4
Let n be -8 + (18/(-36))/(1/(-16)). Suppose 18 - 4 = 7*f. Solve n = -f*l + 7 - 3 for l.
2
Let z = 13869 + -13867. Solve -z*q - 511 = -505 for q.
-3
Suppose 3*x = 3*z - 24, -16 = 5*x + 9. Suppose -z*i - 2 = -2*n, 4*n - n - 12 = 0. Solve -i*v = -v + 5 for v.
-5
Suppose j - 3*s + 2 = 5, s + 85 = 5*j. Suppose j = -23*t + 32*t. Solve t*b - 6*b - 20 = 0 for b.
-5
Suppose 8 = 27*n - 25*n. Suppose 4*q + 1 = s, 3*s + n*q - 15 = 68. Solve 5*k + 6 =
|
{
"pile_set_name": "DM Mathematics"
}
|
x**3 - 8*x**2 + 9*x - 2. What is the units digit of t(5)?
8
Suppose q + 3*q - 12 = 0. What is the tens digit of (7 - 4)/(q/26)?
2
Suppose -k - 1 = 0, -6*l + k = -l - 16. What is the units digit of -4 + (-4 - (-33)/l)?
3
Let k(a) be the second derivative of a**5/20 - a**4/12 - a**3/2 + a**2 + 3*a. What is the tens digit of k(3)?
1
Let t be -1 + (2 - -1) + 2. Suppose -c + t*c = 15. What is the units digit of c?
5
Let n = -25 + 45. What is the units digit of n?
0
Let d(x) = x**2 + 2*x - 9. Let a be d(9). Let p = -57 + a. What is the tens digit of p?
3
Let y be ((-5)/2)/(1/(-2)). Suppose 4*n - 3*n = y*q - 260, 0 = -n + 5. What is the tens digit of q?
5
What is the hundreds digit of 6/(-9)*(-1812)/8?
1
Suppose -2*d - 16 = -3*d. Let o(z) = z**3 + 3*z**2 - 4*z + 2. Let q be o(-4). Suppose q*p - d = -0*p. What is the units digit of p?
8
Suppose 3*t + 9 = 2*d + 8*t, -3*d = -2*t - 4. Suppose 4*c - 22 = -2. Suppose -c*q + 65 = 5*v - 0*q, 2*v + d = 5*q. What is the units digit of v?
9
Let r(p) = 2*p. Let t be (-4)/(-10) - 46/(-10). Let l be r(t). What is the units digit of 1*(3 - l)*-1?
7
Let a(d) = 6*d + 8. What is the units digit of a(4)?
2
Suppose 0 = 4*k - 2*y - 234, 0 = 2*k + y + 4*y - 123. What is the tens digit of k?
5
Let n(r) = 5*r**2 + r - 1. Let f be n(1). Suppose -2*j + 4*j - 34 = -4*v, -f*v = 15. What is the units digit of j?
3
Suppose 0 = -0*q + 2*q - 24. Let y = 23 - q. What is the tens digit of y?
1
Let v(z) = z + 4. Let i be v(-2). What is the tens digit of ((-20)/(-8))/(i/8)?
1
Let r be 16/(3 + -1 - 0). Suppose -5*l - 3*m = -l + 3, -r = -l + m. What is the units digit of l?
3
Suppose 0 = -10*l + 6*l + 620. What is the hundreds digit of l?
1
Suppose -r = 4*o - 41, 169 = 6*r - r + 2*o. Suppose 5*w - r = 37. Suppose 0*i - 4*v - w = -i, -18 = -3*i + 4*v. What is the units digit of i?
2
Let h(u) = 2*u - 7. Let z be h(5). Let x be ((-24)/16)/(z/(-8)). What is the tens digit of (-7)/x*(2 + -14)?
2
Let o(i) = i**3 + 7*i**2 + 5*i - 7. Let y be o(-5). Suppose 3*a + 0*a + 5*q = 38, -5*a + 18 = -3*q. Suppose -3*l + y - a = 0. What is the units digit of l?
4
Suppose u + 0*w - 3*w = 12, 0 = -2*u + 2*w + 12. Suppose -2*p + 4*n = 8, -u*n + 8 = p + n. Let o = 1 + p. What is the units digit of o?
1
Suppose -j - 16 = -62. What is the tens digit of j?
4
Let b be 20/30 + 43/3. Let q = 23 - b. What is the units digit of q?
8
Let r(v) be the second derivative of 5*v**3/6 - 3*v**2/2 - 3*v. Let x be r(3). Let j = 3 + x. What is the units digit of j?
5
What is the units digit of (-6)/(-72)*3 - (-262)/8?
3
Let p = 624 + -419. What is the hundreds digit of p?
2
Suppose 3*z + 2 = 5. What is the units digit of (11/(-1))/(z/(-4))?
4
Suppose -4*l = x - 2 - 12, 5*x = -5*l - 5. Suppose 2*p - p = -3. Let h = p - x. What is the units digit of h?
3
Suppose 0 = -2*q + q + 4. Let v(r) = r**3 - 3*r**2 - 2*r - 1. Let b be v(q). Suppose 0 = -3*y - h + 22, -b*y + 5*h + 4 = -3*y. What is the units digit of y?
6
Let w(c) = -2*c - 3. Suppose 0 = 4*x + f + 39, 4*x - 4*f + 53 = x. Let m be w(x). Suppose -m = -3*l + 29. What is the tens digit of l?
1
Suppose -3*k + 81 = -m - 4*m, 2*k = 2*m + 58. What is the units digit of k?
2
Let w(t) = 4*t. Let z be w(1). Let c(u) = z*u**2 + 2*u + 0*u**3 - 3*u**3 + 4*u**3 + 3. What is the units digit of c(-3)?
6
Suppose b = -4*x + 56, 0 = -x - 4*b + 5 + 24. What is the units digit of (x/2)/((-3)/(-6))?
3
Suppose 3*d + 15 = 0, -r - 26 = -2*r + 4*d. Suppose r*v = 3*v + 6. What is the units digit of v - (2 - 11 - -2)?
9
Let i be (-2120)/70 - (-2)/7. Let d = -12 - i. What is the units digit of d?
8
Let i be ((-50)/(-15))/((-2)/3). Let x = 24 - i. What is the tens digit of x?
2
Suppose 14 = 3*u + 4*k, 5*u - 2 = 3*k + 2. Let y = 2 + u. What is the units digit of y?
4
Let g(c) = 63*c + 6*c**2 - 39*c**2 - 16*c**2. Let n(a) = -3*a**2 + 4*a. Let v(y) = -4*g(y) + 63*n(y). What is the units digit of v(1)?
7
Let y(u) = 6*u + 1. Let d be y(5). Let c = -19 + d. What is the units digit of c?
2
Suppose 20 - 110 = -p. Let n = -44 + p. What is the units digit of n?
6
Let f = -18 - 4. Let t = 48 + f. What is the units digit of t?
6
Let c(q) = -q + 14. What is the units digit of c(8)?
6
Suppose -p + i = -1 - 63, -2*p = 3*i - 123. Suppose f + p = -2*f. Let w = 30 + f. What is the units digit of w?
9
Suppose 0 = -5*d - y - 2*y - 44, -4*y - 33 = 3*d. Let w(j) = -8*j + 0*j - j**3 + 1 - 4 - 8*j**2. What is the units digit of w(d)?
4
Suppose k = -2*k + 24. What is the units digit of 8*(-2 - (-26)/k)?
0
What is the tens digit of ((-30)/(-12))/(2/20)?
2
Let a = -80 + 124. Suppose a = -o + 3*o. What is the tens digit of o?
2
Let w be (12/(-21))/(2/(-7)). Suppose -48 = -2*z - w*z. What is the units digit of z?
2
Let h(z) = z**2 - z + 3. Let x be h(6). Suppose 2*y = -0*y + 5*r + 46, 5*r + x = y. What is the units digit of y?
3
Suppose -4*y + 1 = -c - 3, 8 = 2*y + c. Suppose 4*r - 8 = 5*l, -y*r = -3*r + 2. What is the units digit of (l - -1)*(2 + 0)?
2
Suppose -1 - 19 = -5*l. Suppose 48 = -f + l*f. What is the tens digit of f?
1
Let y = 4 - -9. Let o = y + 1. What is the units digit of o?
4
Suppose 0 = -4*o - 6 - 10. Let v = o - -5. What is the units digit of v?
1
Let t(l) = -l**3 + 8*l**2 - 6*l - 7. Let p be t(5). Let k = 64 - p. What is the units digit of k?
6
Let w(x) = x + 3. Suppose -3*v + y + 28 = 0, -v - 4*y = 2*v - 53. What is the units digit of w(v)?
4
Let n(x) = 11*x**2 + 13*x + 9. Let u(h) = -6*h**2 - 7*h - 5. Let d(r) = -3*n(r) - 5*u(r). Let v be d(-2). What is the units digit of -2 + (-2 - (v + 1))?
1
Let w(y) be the second derivative of 11*y**3/6 - y**2/2 - y. Let p be w(1). Suppose 5*j = -0 + p. What is the units digit of j?
2
Let i(h) = -2*h**3 - 5*h**2 - 3*h + 2. What is the units digit of i(-4)?
2
Suppose -l - 4*l = -250. Suppose 2*n - l = -3*n. What is the tens digit of n?
1
Let v(d) = -6*d + 11. What is the tens digit of v(-7)?
5
Suppose -17 + 82 = 5*c. Let k = -7 + c. What is the tens digit of (-39)/(-12)*(-2 + k)?
1
Let x be 2 + -3 - (-51 - 0). Suppose 0 = -5*n - 0*n + x. What is the units digit of n?
0
Let t be (-2)/(-10) - (-38)/10. Let q = -2 + t. What is the units digit of -3*q/(-3)*1?
2
Suppose -12 - 2 = -2*m. Let v(n) = -n**2 + 7*n. Let u be v(m). Suppose u = 3*q - 3 - 12. What is the units digit of q?
5
Suppose -31 - 14 = -w. What is the tens digit of w?
4
Let u(c) = -c + 9. Let w be u(6). Suppose -3*j = -w*p + 42, -34 = -3*p + 2*j - j. What is the tens digit of p?
1
Let z(w) = -w**3 + 6*w**2 + w + 4. What is the tens digit of z(6)?
1
Let y = -5 - -5. Suppose y = q + 3*q - 20. What is the units digit of q?
5
Let m(x) = -x**2 - 5*x + 7. Let p = -13 - -7. What is the units digit of m(p)?
1
Let m(l) = 4*l + 7. What is the units digit of m(10)?
7
Suppose -4*z + 4*c = 7*c - 153, 2*z - 57 = 5*c. What is the tens digit of z?
3
Let o(n) = -n**3 + 7*n**2 + 8*n - 5. Let w be o(8). Let c(t) = t**3 + 6*t**2 + 2*t - 3. Let u be c(w). What is the units digit of (u/(-5))/(12/(-90))?
8
Suppose -5*q + q + f = -45, -2*q - 5*f = -39. What is the units digit of -1 + (-4)/(q/(-99))?
2
What is the units digit of (-30)/15*-2*(-114)/(-8)?
7
Let u be 48 + (-1 + 6 - 2). Suppose -3*w = -u + 21. What is the tens digit of w?
1
Let d(y) = y + 2. Suppose 0 = 3*c + c. Let h be d(c). Suppose 0 = -4*i + 5*l + 15, 4*l = h*i - 5*i + 19. What is the units digit of i?
5
Suppose 0 = -5*q - 5*f + 100, 2*q - 4*f - 34 = -0*f. Suppose 2 = -a + q. What is the units digit of a?
7
What is the units digit of -3 + ((-144)/(-4) - 3)?
0
Let z(o) = o**3 + o**2 + o + 15. Suppose 0*c = -c. What is the tens digit of z(c)?
1
Let n(k) = k**2 + 3*k + 4. Let d(c) = -c**3 - c**2 - 5. Let u be d(0). What is the tens digit of n(u)?
1
Let b(t) = t**3 - 4*t**2 + 3*t. Let s be b(3). Suppose s = -5*h + h - 24. What is the units digit of ((-2)/(-3))/(h/(-27))?
3
Let p be (-190)/12 + (-2)/12. Suppose -2*q + n + 0 = -7, 0 = 3*q + 4*n - 27. What is the units digit of (p/q)/(2/(-5))?
8
Let d(p) = -p**3 + 3*p**2 + 2*p - 12. What is the hundreds digit of d(-5)?
1
What is the hundreds digit of ((-185)/1)/(-5 - -4)?
1
Let r = 5 + 76. What is the units digit of r?
1
Suppose 0 = -i + 3*i - 12. What is the units digit of (20/(-6))/((-2)/i)?
0
Suppose -4*j + 10 = -0*j - h, -3*h + 12 = 2*j. Let d(p) = p + 1. Let q be d(j). Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
-21, 3, 65, 177?
2*k**3 + k**2 - 19*k - 3
What is the m'th term of -58, -109, -160, -211, -262, -313?
-51*m - 7
What is the n'th term of -6, -18, -32, -42, -42, -26, 12, 78?
n**3 - 7*n**2 + 2*n - 2
What is the d'th term of -638, -635, -632, -629?
3*d - 641
What is the c'th term of -247, -261, -277, -295, -315, -337, -361?
-c**2 - 11*c - 235
What is the q'th term of 33, -9, -123, -309?
-36*q**2 + 66*q + 3
What is the y'th term of 817, 810, 803?
-7*y + 824
What is the c'th term of -5, -14, -35, -74, -137, -230?
-c**3 - 2*c - 2
What is the a'th term of 2132, 4263, 6392, 8519?
-a**2 + 2134*a - 1
What is the u'th term of 10, 7, -2, -17?
-3*u**2 + 6*u + 7
What is the o'th term of -3596, -3595, -3594, -3593, -3592, -3591?
o - 3597
What is the s'th term of -1319, -1325, -1331, -1337, -1343?
-6*s - 1313
What is the z'th term of -14, -72, -162, -278, -414, -564, -722, -882?
z**3 - 22*z**2 + z + 6
What is the p'th term of 55, -14, -133, -308, -545, -850, -1229, -1688?
-p**3 - 19*p**2 - 5*p + 80
What is the q'th term of -16, -46, -96, -166?
-10*q**2 - 6
What is the q'th term of -210, -211, -212, -213, -214?
-q - 209
What is the y'th term of 76, 103, 166, 283, 472, 751, 1138?
3*y**3 + 6*y + 67
What is the i'th term of -4, -14, -38, -82, -152?
-i**3 - i**2 - 2
What is the q'th term of 155, 301, 447?
146*q + 9
What is the p'th term of -52, -144, -262, -418, -624, -892, -1234, -1662?
-2*p**3 - p**2 - 75*p + 26
What is the b'th term of 189, 267, 345, 423, 501, 579?
78*b + 111
What is the h'th term of -67, -287, -653, -1165?
-73*h**2 - h + 7
What is the a'th term of -25, -28, -33, -40, -49, -60?
-a**2 - 24
What is the q'th term of 4417, 8833, 13249, 17665, 22081?
4416*q + 1
What is the a'th term of -1, -31, -75, -139, -229?
-a**3 - a**2 - 20*a + 21
What is the i'th term of -51, -39, -31, -33, -51, -91, -159?
-i**3 + 4*i**2 + 7*i - 61
What is the q'th term of 88, 54, 44, 70, 144?
2*q**3 - 48*q + 134
What is the w'th term of 2, -6, -24, -58, -114?
-w**3 + w**2 - 4*w + 6
What is the h'th term of 4, 16, 36, 64?
4*h**2
What is the z'th term of -536, -535, -534, -533?
z - 537
What is the w'th term of 2050, 2042, 2022, 1984, 1922, 1830?
-w**3 - w + 2052
What is the j'th term of 69, 101, 165, 273, 437, 669, 981, 1385?
2*j**3 + 4*j**2 + 6*j + 57
What is the v'th term of -13, -20, -37, -70, -125, -208, -325, -482?
-v**3 + v**2 - 3*v - 10
What is the i'th term of 63, 132, 211, 300, 399, 508, 627?
5*i**2 + 54*i + 4
What is the g'th term of -59, -68, -91, -134, -203?
-g**3 - g**2 + g - 58
What is the d'th term of 4639, 9281, 13925, 18571, 23219, 27869, 32521?
d**2 + 4639*d - 1
What is the n'th term of -25, -43, -57, -55, -25?
2*n**3 - 10*n**2 - 2*n - 15
What is the w'th term of 542, 530, 516, 500, 482?
-w**2 - 9*w + 552
What is the s'th term of -268, -266, -264, -262?
2*s - 270
What is the r'th term of -9, -21, -35, -45, -45, -29, 9?
r**3 - 7*r**2 + 2*r - 5
What is the x'th term of 0, 8, 22, 42, 68?
3*x**2 - x - 2
What is the v'th term of 166, 135, 104, 73, 42?
-31*v + 197
What is the t'th term of 704, 713, 728, 749, 776, 809, 848?
3*t**2 + 701
What is the y'th term of 3308, 6627, 9946, 13265?
3319*y - 11
What is the z'th term of -498, -499, -502, -507, -514?
-z**2 + 2*z - 499
What is the c'th term of 10, 2, -10, -26, -46, -70?
-2*c**2 - 2*c + 14
What is the o'th term of -30, -31, -32, -33, -34?
-o - 29
What is the d'th term of -1130, -1115, -1090, -1055, -1010, -955, -890?
5*d**2 - 1135
What is the v'th term of -18, -69, -160, -297, -486?
-v**3 - 14*v**2 - 2*v - 1
What is the o'th term of -766, -775, -784, -793, -802?
-9*o - 757
What is the w'th term of -179, -166, -143, -110, -67, -14, 49?
5*w**2 - 2*w - 182
What is the o'th term of 13, 34, 91, 202, 385, 658, 1039, 1546?
3*o**3 + 10
What is the f'th term of -72, -146, -220, -294, -368, -442?
-74*f + 2
What is the n'th term of -159, -208, -243, -258, -247, -204, -123, 2?
n**3 + n**2 - 59*n - 102
What is the r'th term of 357, 262, 157, 36, -107, -278?
-r**3 + r**2 - 91*r + 448
What is the s'th term of -1504, -1512, -1522, -1534, -1548?
-s**2 - 5*s - 1498
What is the n'th term of 53, 61, 79, 113, 169, 253?
n**3 - n**2 + 4*n + 49
What is the m'th term of -6441, -6440, -6439?
m - 6442
What is the n'th term of -69, -75, -91, -123, -177, -259, -375, -531?
-n**3 + n**2 - 2*n - 67
What is the c'th term of 11, 29, 65, 125, 215, 341?
c**3 + 3*c**2 + 2*c + 5
What is the s'th term of -37, -30, -19, -4?
2*s**2 + s - 40
What is the k'th term of 16, 97, 232, 421, 664, 961, 1312?
27*k**2 - 11
What is the t'th term of 3982, 3983, 3984?
t + 3981
What is the x'th term of 6, 4, 0, -6, -14?
-x**2 + x + 6
What is the j'th term of 7, -2, -23, -62, -125, -218?
-j**3 - 2*j + 10
What is the a'th term of 31, 56, 73, 82?
-4*a**2 + 37*a - 2
What is the u'th term of 5, -11, -51, -127, -251, -435?
-2*u**3 - 2*u + 9
What is the p'th term of -12, -7, -2, 3, 8, 13?
5*p - 17
What is the b'th term of 14, 17, 22, 35, 62?
b**3 - 5*b**2 + 11*b + 7
What is the d'th term of 81, 126, 161, 180, 177?
-d**3 + d**2 + 49*d + 32
What is the a'th term of -22, -17, -16, -25, -50, -97, -172?
-a**3 + 4*a**2 - 25
What is the b'th term of 43, 39, 31, 19, 3, -17?
-2*b**2 + 2*b + 43
What is the l'th term of 15, 86, 203, 366, 575, 830?
23*l**2 + 2*l - 10
What is the z'th term of 39, 139, 307, 543, 847, 1219, 1659?
34*z**2 - 2*z + 7
What is the i'th term of 224, 450, 676, 902, 1128?
226*i - 2
What is the c'th term of 588, 585, 582, 579?
-3*c + 591
What is the d'th term of 53, 222, 391, 560, 729, 898?
169*d - 116
What is the z'th term of 53, 50, 47?
-3*z + 56
What is the m'th term of -52, -231, -408, -583, -756?
m**2 - 182*m + 129
What is the v'th term of 61, 65, 69?
4*v + 57
What is the w'th term of 2931, 5861, 8791, 11721?
2930*w + 1
What is the s'th term of -4, 1, 8, 17, 28?
s**2 + 2*s - 7
What is the m'th term of -66, -130, -194, -258?
-64*m - 2
What is the x'th term of -11, -11, 7, 55, 145?
2*x**3 - 3*x**2 - 5*x - 5
What is the q'th term of -1244, -2487, -3730, -4973, -6216, -7459?
-1243*q - 1
What is the p'th term of 296, 592, 888?
296*p
What is the y'th term of -43, -17, 9?
26*y - 69
What is the t'th term of -857, -838, -805, -752, -673, -562?
t**3 + t**2 + 9*t - 868
What is the c'th term of -3, 7, 23, 45, 73, 107?
3*c**2 + c - 7
What is the c'th term of -14851, -14848, -14843, -14836?
c**2 - 14852
What is the u'th term of 80, 84, 106, 158, 252?
2*u**3 - 3*u**2 - u + 82
What is the g'th term of 973, 1900, 2813, 3706, 4573, 5408, 6205, 6958?
-g**3 - g**2 + 937*g + 38
What is the d'th term of -28, -43, -56, -67?
d**2 - 18*d - 11
What is the z'th term of -814, -816, -818, -820, -822?
-2*z - 812
What is the j'th term of 14, 49, 126, 257, 454, 729, 1094?
2*j**3 + 9*j**2 - 6*j + 9
What is the j'th term of -426, -852, -1262, -1650, -2010?
j**3 + 2*j**2 - 439*j + 10
What is the y'th term of -10753, -10754, -10755, -10756, -10757, -10758?
-y - 10752
What is the d'th term of -166, -164, -164, -166, -170, -176?
-d**2 + 5*d - 170
What is the l'th term of 4, -20, -70, -158, -296?
-2*l**3 - l**2 - 7*l + 14
What is the u'th term of -153, -103, -53, -3, 47, 97?
50*u - 203
What is the z'th term of 128, 253, 378?
125*z + 3
What is the g'th term of -42, -45, -50, -57, -66, -77?
-g**2 - 41
What is the r'th term of -9, 15, 87, 231, 471, 831, 1335?
4*r**3 - 4*r - 9
What is the x'th term of -162, -636, -1426, -2532, -3954, -5692?
-158*x**2 - 4
What is the b'th term of 1552, 3104, 4654, 6202, 7748, 9292?
-b**2 + 1555*b - 2
What is the m'th term of 3412, 3412, 3410, 3406, 3400?
-m**2 + 3*m + 3410
What is the t'th term of 88, 177, 266, 355, 444?
89*t - 1
What is the m'th term of -67, -272, -613, -1090, -1703, -2452, -3337?
-68*m**2 - m + 2
What is the d'th term of 3, -18, -39, -60?
-21*d + 24
What is the r'th term of 10, 0, -10, -20?
-10*r + 20
What is the r'th term of 88, 87, 84, 79, 72?
-r**2 + 2*r + 87
What is the l'th term of -25, -27, -29?
-2*l - 23
What is the s'th term of -17, 7, 25, 31, 19, -17, -83?
-s**3 + 3*s**2 + 22*s - 41
What is the v'th term of -1476, -1478, -1480, -1482, -1484?
-2*v - 1474
What is the d'th term of 103, 97, 77, 37, -29?
-d**3 - d**2 + 4*d + 101
What is the u'th term of 164, 324, 500, 698, 924?
u**3 + 2*u**2 + 147*u + 14
What is the r'th term of 402, 444, 514, 61
|
{
"pile_set_name": "DM Mathematics"
}
|
-748, -619, -512, -433, -388, -383, -424?
-r**3 - 5*r**2 + 151*r - 893
What is the o'th term of 354, 71, -842, -2391, -4582, -7421, -10914?
-o**3 - 309*o**2 + 651*o + 13
What is the z'th term of -4026087, -8052148, -12078185, -16104198?
12*z**2 - 4026097*z - 2
What is the n'th term of 1344924, 1344923, 1344922, 1344921, 1344920?
-n + 1344925
What is the l'th term of 13328, 13846, 14364, 14882?
518*l + 12810
What is the u'th term of -2310295, -2310214, -2310133, -2310052, -2309971, -2309890?
81*u - 2310376
What is the c'th term of 377936, 755870, 1133804, 1511738?
377934*c + 2
What is the j'th term of -155336, -311665, -467988, -624305, -780616, -936921?
3*j**2 - 156338*j + 999
What is the g'th term of 7043, 29516, 66971, 119408, 186827, 269228, 366611?
7491*g**2 - 448
What is the r'th term of -8132, -33766, -76474, -136244, -213064, -306922, -417806?
2*r**3 - 8549*r**2 - r + 416
What is the g'th term of 121944, 121989, 122034?
45*g + 121899
What is the r'th term of 1422, 7536, 18358, 33894, 54150, 79132?
r**3 + 2348*r**2 - 937*r + 10
What is the n'th term of 496431, 992781, 1489145, 1985529, 2481939, 2978381, 3474861, 3971385?
n**3 + n**2 + 496340*n + 89
What is the i'th term of -6017351, -12034725, -18052099, -24069473?
-6017374*i + 23
What is the c'th term of -11883, -49118, -111699, -199626, -312899?
-12673*c**2 + 784*c + 6
What is the p'th term of -15833951, -15833945, -15833937, -15833927, -15833915, -15833901?
p**2 + 3*p - 15833955
What is the i'th term of -242450, -242376, -242302, -242228, -242154?
74*i - 242524
What is the b'th term of -271, -1949, -6389, -14935, -28931, -49721?
-224*b**3 - 37*b**2 + b - 11
What is the h'th term of -683016, -682983, -682950, -682917?
33*h - 683049
What is the q'th term of -998478, -998336, -998194, -998052, -997910, -997768?
142*q - 998620
What is the s'th term of 291, 793, 2199, 4959, 9523, 16341, 25863?
75*s**3 + 2*s**2 - 29*s + 243
What is the o'th term of -8475, -34718, -78449, -139668, -218375, -314570?
-8744*o**2 - 11*o + 280
What is the x'th term of -80866, -77740, -69250, -52714, -25450, 15224?
447*x**3 - 3*x - 81310
What is the r'th term of 4680, 9531, 14408, 19311, 24240?
13*r**2 + 4812*r - 145
What is the q'th term of 1309748, 2619502, 3929256, 5239010, 6548764, 7858518?
1309754*q - 6
What is the t'th term of 951379181, 951379183, 951379185?
2*t + 951379179
What is the r'th term of -3320270, -6640555, -9960840, -13281125?
-3320285*r + 15
What is the m'th term of 101592, 100798, 100002, 99204, 98404, 97602, 96798?
-m**2 - 791*m + 102384
What is the k'th term of 214584307, 214584309, 214584311, 214584313, 214584315?
2*k + 214584305
What is the i'th term of 341838, 683606, 1025310, 1366950, 1708526?
-32*i**2 + 341864*i + 6
What is the c'th term of -14049915, -14049869, -14049821, -14049771, -14049719, -14049665?
c**2 + 43*c - 14049959
What is the u'th term of 297246, 1188938, 2675076, 4755648, 7430642?
-2*u**3 + 297235*u**2 + u + 12
What is the i'th term of 92108, 92133, 92158?
25*i + 92083
What is the t'th term of 30098083, 30098085, 30098087, 30098089, 30098091?
2*t + 30098081
What is the l'th term of -40281, -52052, -71669, -99132, -134441, -177596, -228597?
-3923*l**2 - 2*l - 36356
What is the l'th term of 35463, 70908, 106345, 141774, 177195, 212608, 248013?
-4*l**2 + 35457*l + 10
What is the i'th term of 60187, 240701, 541547, 962725, 1504235, 2166077, 2948251?
60166*i**2 + 16*i + 5
What is the n'th term of -19085, -38479, -57873, -77267, -96661, -116055?
-19394*n + 309
What is the p'th term of -632665, -1265296, -1897927, -2530558, -3163189, -3795820?
-632631*p - 34
What is the x'th term of 1140854, 1140850, 1140846, 1140842?
-4*x + 1140858
What is the d'th term of -1774909, -1774926, -1774943, -1774960, -1774977, -1774994?
-17*d - 1774892
What is the i'th term of -403349, -1613955, -3631639, -6456407, -10088265?
-i**3 - 403533*i**2 + 185
What is the f'th term of 2072, 3877, 5422, 6707, 7732, 8497?
-130*f**2 + 2195*f + 7
What is the c'th term of 96207682, 96207683, 96207684, 96207685?
c + 96207681
What is the t'th term of -34823, -69748, -104769, -139892, -175123, -210468, -245933, -281524?
-t**3 - 42*t**2 - 34792*t + 12
What is the z'th term of 4205, 8659, 13241, 17945, 22765, 27695, 32729, 37861?
-z**3 + 70*z**2 + 4251*z - 115
What is the w'th term of 6594, 7009, 8136, 10329, 13942, 19329?
59*w**3 + 2*w**2 - 4*w + 6537
What is the s'th term of -553424, -553389, -553282, -553067, -552708, -552169, -551414, -550407?
6*s**3 - 7*s - 553423
What is the t'th term of -2886, -3184, -3608, -4158, -4834, -5636, -6564?
-63*t**2 - 109*t - 2714
What is the w'th term of 6975580, 13951159, 20926738?
6975579*w + 1
What is the b'th term of -43010, -344212, -1161762, -2753834, -5378602, -9294240?
-43029*b**3 + b + 18
What is the g'th term of 12050, 12348, 12658, 12986, 13338, 13720, 14138?
g**3 + 291*g + 11758
What is the u'th term of 58530388, 58530397, 58530406, 58530415, 58530424, 58530433?
9*u + 58530379
What is the s'th term of -526278, -526039, -525800, -525561, -525322?
239*s - 526517
What is the a'th term of 96555, 193030, 289479, 385902, 482299, 578670, 675015?
-13*a**2 + 96514*a + 54
What is the x'th term of -697, -3539, -8295, -14965?
-957*x**2 + 29*x + 231
What is the q'th term of 187325, 376759, 566193?
189434*q - 2109
What is the r'th term of -1650733, -3301503, -4952273, -6603043, -8253813?
-1650770*r + 37
What is the w'th term of -328794, -657535, -986216, -1314807, -1643278, -1971599, -2299740, -2627671?
5*w**3 - 328776*w - 23
What is the q'th term of -93315, -186108, -278901?
-92793*q - 522
What is the m'th term of -78505708, -157011395, -235517080, -314022763?
m**2 - 78505690*m - 19
What is the q'th term of 1, 97, 229, 421, 697?
4*q**3 - 6*q**2 + 86*q - 83
What is the d'th term of 701, 4408, 14523, 34268, 66865, 115536, 183503?
537*d**3 - 18*d**2 + 2*d + 180
What is the a'th term of -115465, -113698, -110753, -106630, -101329?
589*a**2 - 116054
What is the i'th term of -23725, -44773, -65821, -86869?
-21048*i - 2677
What is the f'th term of -371, -2472, -8165, -19244, -37503, -64736?
-299*f**3 - 2*f**2 - 2*f - 68
What is the u'th term of 3076, 13378, 30550, 54592, 85504, 123286?
3435*u**2 - 3*u - 356
What is the x'th term of -7169, -56997, -192165, -455345, -889209, -1536429, -2439677, -3641625?
-7112*x**3 + 2*x**2 - 50*x - 9
What is the p'th term of 1531, 5902, 13207, 23464, 36691, 52906, 72127?
3*p**3 + 1449*p**2 + 3*p + 76
What is the x'th term of -129, -1951, -4983, -9231, -14701, -21399?
-x**3 - 599*x**2 - 18*x + 489
What is the h'th term of -697956, -697967, -697980, -697995, -698012?
-h**2 - 8*h - 697947
What is the z'th term of 5644384, 5644383, 5644382, 5644381, 5644380, 5644379?
-z + 5644385
What is the x'th term of 3841270, 3841277, 3841286, 3841297, 3841310?
x**2 + 4*x + 3841265
What is the d'th term of 577398, 2308553, 5193810, 9233169, 14426630, 20774193, 28275858?
577051*d**2 + 2*d + 345
What is the f'th term of 35983, 36009, 36023, 36001, 35919?
-4*f**3 + 18*f**2 + 35969
What is the q'th term of 10255, 20290, 30083, 39634, 48943?
-121*q**2 + 10398*q - 22
What is the z'th term of -2416, -9862, -22278, -39670, -62044?
-z**3 - 2479*z**2 - 2*z + 66
What is the l'th term of -1991442, -1991432, -1991408, -1991364, -1991294, -1991192, -1991052?
l**3 + l**2 - 1991444
What is the n'th term of -325, -45, 715, 2189, 4611, 8215?
39*n**3 + 6*n**2 - 11*n - 359
What is the k'th term of 26938079, 26938081, 26938083, 26938085, 26938087?
2*k + 26938077
What is the c'th term of 545, -1404, -4693, -9322, -15291, -22600?
-670*c**2 + 61*c + 1154
What is the t'th term of 1186870, 2373732, 3560594?
1186862*t + 8
What is the l'th term of 35965, 36323, 36681, 37039, 37397, 37755?
358*l + 35607
What is the j'th term of -215153, -430277, -645375, -860441, -1075469, -1290453, -1505387, -1720265?
j**3 + 7*j**2 - 215152*j - 9
What is the h'th term of 795966, 796725, 797480, 798231, 798978, 799721?
-2*h**2 + 765*h + 795203
What is the z'th term of -86047, -86060, -86077, -86098, -86123?
-2*z**2 - 7*z - 86038
What is the t'th term of -13671, -27296, -40949, -54630, -68339?
-14*t**2 - 13583*t - 74
What is the b'th term of 517294362, 517294364, 517294368, 517294374?
b**2 - b + 517294362
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
6). Let t(i) = -i + 2. Calculate t(p).
7
Let o(b) = -b**2 - 2*b. Suppose 0 = v + 7 + 1. Let u be 3/(2/(v/(-6))). Let j = u - 3. Give o(j).
1
Let n(z) = 7*z**3 + 4*z**2 - 5*z - 13. Let p(i) = 4*i**3 + 2*i**2 - 3*i - 7. Let h(x) = -3*n(x) + 5*p(x). Determine h(-3).
13
Suppose 68 = 4*w - 80. Let h = w + -26. Let j = 7 - h. Let o(p) = p**3 + 4*p**2 + p - 1. What is o(j)?
-5
Suppose 5*t - 5*q - 40 = 0, -3*t - 5*q - 11 = -3. Let c = 6 - t. Let k(h) = 2 - h**2 + h**2 - 4*h - h**c. What is k(-5)?
-3
Let o be -1*(1 - -1) + 5. Let a(m) = -8 - o*m - 4*m + 5*m + 3. Let x(f) = -f - 1. Let c(v) = a(v) - 3*x(v). Determine c(-2).
-4
Let p(z) = 5 - 3 + 21*z - 23*z. Give p(-2).
6
Suppose -3*q = q. Let y(u) = -2*u + 5 + u + q*u. What is y(5)?
0
Let o(g) = 0 - 3*g**2 + g**2 + 1. Let r = -6 - -7. Determine o(r).
-1
Let o(g) = 11*g**2 - g. Let m be 3*-1 + (-1 - -5). What is o(m)?
10
Let i(a) = -a**3 + 1. Let w(x) = -4*x - 5*x**2 + 2*x**2 - 1 + 2*x**2. Let h be w(-3). Let m be h/4*(1 - 1). What is i(m)?
1
Let t(x) = 2*x**2 + 6*x + 0*x - 3*x**2. Let v be (-63)/(-6) + (-1)/(-2). Suppose -5*u + v + 14 = 0. Calculate t(u).
5
Let s(a) = -4*a**2 - 6*a**3 + 0 + 3*a**2 - 1 - 2*a. Let l = -26 - -25. What is s(l)?
6
Let y(p) = 6*p**2 - 46*p - 36. Let i(j) = j**2 - 9*j - 7. Let n(x) = 16*i(x) - 3*y(x). Give n(-4).
-12
Let z(x) = -5*x**3 - x. Let r(m) = -5 - 2*m - 4*m**2 - 2*m - 1 + m**3. Let i be r(5). Determine z(i).
6
Let h(y) = 7*y - 9. Let b be h(-5). Let t be (55/b)/(2/(-8)). Let c(q) = -8 + 0*q**2 + q**2 - 4*q + 1. Determine c(t).
-2
Let j(a) = 5 + 2*a - 5 - 3 + 5. Determine j(-5).
-8
Suppose -3*r - 4 = 5*d, -r + 5*d + 1 - 9 = 0. Let y(o) = o**2 + 2*o + 4. What is y(r)?
7
Let q be 0/(-2) + (-2 - -4). Let d(l) = -6*l**2 + 13*l**2 - 4*l - q - 6*l**2. Give d(3).
-5
Let h(k) = -2*k**2 - 1 - 6 + 6 + 0. Determine h(-2).
-9
Let z = 8 - 6. Suppose -i = -z*x + 1, -3*i + 6*i = x + 7. Let v be 8/(-2 + 0) + x. Let d(u) = u**3 + 2*u**2 + 2*u - 1. Calculate d(v).
-5
Let y(h) = -2*h + 6. Let q = 18 + -24. Give y(q).
18
Let z(t) = t**3 - 15 - 2*t - 3*t - 5*t**2 + 13 - 2*t**3. Calculate z(-3).
-5
Let b(o) = -o + 11. Suppose 0 = 2*s, -3*s + 0*s = 4*j. Determine b(j).
11
Let p(j) = j + 10. Let r(u) = u**3 + 7*u**2 - 6*u + 4. Let v be r(-8). Let g be p(v). Let w(q) = -q + 2. What is w(g)?
4
Let j(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 + b**3 + 5*b**2. Determine j(0).
6
Suppose -8 = 4*t - 2*t. Let x be (6/t)/(9/24). Let y(f) = -8*f**2 + f + 9. Let s(c) = c**2 - c - 1. Let g(q) = 6*s(q) + y(q). Determine g(x).
-9
Let q(o) = o**2 + 7*o + 2. Let h(k) = 3*k**2 + 22*k + 7. Let g = -4 + 6. Let b(p) = g*h(p) - 7*q(p). Give b(-4).
4
Let r(k) be the first derivative of -k**7/840 - k**6/360 - k**5/120 - 11*k**4/24 + 2*k**3/3 - 1. Let q(b) be the third derivative of r(b). Determine q(0).
-11
Let n(p) = 3*p + 6. Let i(j) = 3*j + 6. Let b be i(-7). Let z = 10 + b. Give n(z).
-9
Let m be 15/(-4) + (-3)/12. Let o(b) = -b**3 + b**2. Let n(t) = t**3 - 6*t**2 + 2. Let q(g) = n(g) + 2*o(g). Give q(m).
2
Let h(x) be the second derivative of -x**5/60 - x**4/24 + 2*x**3/3 + 3*x**2/2 - 2*x. Let w(m) be the first derivative of h(m). Determine w(0).
4
Let x(u) = -u**2 + 1. Let c = 6 + -4. Suppose 5*g + 4*t = 2*t - c, -2*g = 5*t + 5. Suppose 2*n - 1 + 5 = g. Calculate x(n).
-3
Let t(r) = -2*r - 5. Let z(h) = -h - 4. Let w(n) = -2*t(n) + 3*z(n). Let o be w(6). Let s(m) = 4*m**2 + m - 2*m**3 + m**3 + m. Calculate s(o).
8
Let t(a) be the first derivative of -a**4/24 + 5*a**3/6 + 3*a**2 + 7. Let j(f) be the second derivative of t(f). Give j(4).
1
Let b(x) = x**2 + 2*x + 3. Let p(f) = 4*f**3 - 2*f**2 + 1. Let a be p(1). Let w = 10 + -8. Suppose a*z + w*z = -15. What is b(z)?
6
Let j be (-1 - 3/(-1)) + 0. Let y(r) = 2*r**2 - 3*r + 3. Let o be y(j). Let u(p) = -p**3 + 6*p**2 - 4*p + 2. What is u(o)?
7
Let o(h) be the second derivative of 1/2*h**3 - 3/2*h**2 - 2*h + 0. Suppose 3*i = q - 15, 4*i + 1 = -15. What is o(q)?
6
Let o(d) = d**2 - d + 2. Let n be (-1 - -1)/(1 + 0). What is o(n)?
2
Let p(a) = -26*a + 3*a**3 - 1 + 15*a - 2*a**3 + 10*a. Suppose 8 + 2 = 5*h. Give p(h).
5
Let y(i) = -5*i + 1. Let v(j) = 2. Let x(a) = 4*v(a) - y(a). Determine x(5).
32
Let s(f) be the second derivative of -f**4/12 - f**3/2 + 3*f**2/2 - 4*f. Let l(k) be the first derivative of s(k). Determine l(-5).
7
Suppose 82 = 4*m - 6. Let j be m/6 + 4/(-6). Let a(i) be the third derivative of i**4/12 - i**3/3 - 2*i**2. Calculate a(j).
4
Let b(c) = c**2 - 1. Let f(g) = 5*g**2 - 4*g - 3. Let v(i) = -3*b(i) + f(i). Determine v(3).
6
Let q(g) = g**2 + 3*g + 3. Let f be (4/(-6))/(10/(-15)). Suppose -3 = x - f. Let w be q(x). Let c(h) = -4*h**3 - h**2 + h. What is c(w)?
-4
Let i(y) be the third derivative of y**5/60 + y**4/4 - y**3/6 + 25*y**2. What is i(-7)?
6
Let c(j) be the second derivative of -j**6/240 - j**5/120 + j**4/12 - j. Let q(u) be the third derivative of c(u). What is q(-1)?
2
Let v(r) = r**2 + 8*r + 3. Let x(t) be the second derivative of -t**5/20 + t**4/12 + t**3/6 - 2*t**2 - 7*t. Let n be x(2). What is v(n)?
-9
Let t(p) = -p**3 - 3*p**2 + 4*p + 1. Let i be t(-4). Suppose 0 = -3*l + i + 2. Let n(w) = 0 + 0 - w + l. Give n(-3).
4
Suppose 0 = -5*q - 5*c - 10, 3*q - 6 - 13 = 2*c. Let d(p) = -3*p. Calculate d(q).
-9
Let l = 10 - 6. Let b(f) = -1 - 3 + 2*f - 1. Calculate b(l).
3
Let q(o) = 2*o - 2. Suppose -3*m + 7 = -2. Suppose 6 = x - m*x. What is q(x)?
-8
Let i = -9 + 12. Let j(r) = -r**3 + 4*r**2 - 2*r + 2. Determine j(i).
5
Suppose 0 = -15*f + 14 + 121. Let c(d) = -d**3 + 8*d**2 + 10*d + 6. Calculate c(f).
15
Let y(k) = 23*k - 21. Let p(f) = -8*f + 7. Let d(g) = 8*p(g) + 3*y(g). Let b(h) = 9*h - 13. Let i(s) = 6*b(s) - 11*d(s). What is i(-2)?
1
Suppose s + 4*x = 13, s - 22 = -s - 4*x. Let k(c) = c - 7. Determine k(s).
2
Suppose -m + 2*j - 4 = -j, m + 4 = j. Let q = m + 6. Let h(g) = -6*g**2 + 3*g + 4. Let y(z) = 6*z**2 - 2*z - 3. Let d(l) = q*h(l) + 3*y(l). Give d(1).
5
Suppose o - 4*o + 6 = 0. Suppose o*l + 2*p + 1 + 5 = 0, -3*p - 15 = 0. Let u(a) = 2*a - 2. What is u(l)?
2
Let n(q) = q + 3. Suppose -9*a + 7*a - 10 = 0. What is n(a)?
-2
Let b(s) = -s**2 - 3*s + 2. Let g be 2/9 + 276/(-27). Let d = g + 6. Let k be b(d). Let i(r) = -r**2 - 6*r - 3. Give i(k).
5
Let q(o) = o**2 + 3*o - 7. Let d = 0 + -5. Determine q(d).
3
Let j be -12*(4 + 44/(-12)). Let l(q) = -q**3 - 3*q**2 + 5*q + 5. Let x be l(j). Let p(m) = 9*m**3 - m**2. Calculate p(x).
8
Let u = 0 - 0. Suppose 4*q - 14 = r, u = 3*q - 7*r + 3*r - 4. Suppose 23 = -3*t - 4*d, -q*t - 7 = -5*d + 3. Let v(m) = m**3 + 5*m**2 + 3*m + 7. What is v(t)?
-8
Let a(q) = -q**3 + q**2 - q - 14. Let r(n) = n**3 + 15*n**2 - 15*n + 16. Let i be r(-16). What is a(i)?
-14
Let n(s) = -3*s - 10. Let h(w) = 2*w + 5. Let x(t) = 7*h(t) + 4*n(t). Let b = 15 - 9. Determine x(b).
7
Let c(r) = -r**2 - 2*r - 2. Let s(u) = -u - 3. Let g be s(-3). Suppose -5*i = -5, 10 = -g*t - 3*t + i. Let y be 1/((-2)/t - 1). What is c(y)?
-5
Suppose -4*p = -2*b + 6, -2*p = 3*b - 2*b + 17. Let s(d) = d - 1. Calculate s(b).
-8
Let y(v) be the second derivative of -v**8/6720 - v**7/1260 + v**6/240 - v**4/6 - 7*v. Let d(z) be the third derivative of y(z). Determine d(-3).
0
Suppose k - 18 = -2*k. Let z(n) = -n**2 + n + 1. Let u(b) = 5*b**2 - b - 3. Let h(f) = -u(f) - 6*z(f). What is h(k)?
3
Let u(x) = -x - 1. Suppose o + 2*m + 8 = 2*o, o - 4*m = 2. Suppose 2*a - 21 = l, -a = -4*l - 0*l - o. Let p be a/4*(6 - 4). Determine u(p).
-6
Let b = 7 + -4. Suppose 2*x + l - 25 = 4*l, 4*x - b*l = 35. Let n(q) = x*q - q**2 - 3 + 7 - 9*q. Determine n(-4).
4
Let j(t) be the second derivative of 11*t**4/6 + t**3/3 + t**2/2 - 12*t. Give j(-1).
21
Let i(g) = g**2 - 4*g - 7. Let h(c) = c + 2. Let o(v) = -7*h(v) - 2*i(v). Give o(3).
-15
Let a(w) = -w**2 + 3*w. Let h(q) be the third derivative of -q**5/30 + q**4/6 + q**2. Let l(x) = -3*a(x) + 2*h(x). What is l(0)?
0
Let r be (-1 + (-6)/(-10))*(-6 + -4). Let n(u) = u**2 - 5*u - 3. What is n(r)?
-7
Let s(d) = -85*d - 83*d + 169*d. Give s(3).
3
Let f = 18 + -12. Suppose -f*s - 3 = -s - 4*q, -2*s = q - 4. Let x(b) = -3*b + 0*b + s + 2*b. Determine x(4).
-3
Let a be 1 + -3 - (1 - 8). Let v = a - 3. Let y(r) = -4 - 3*r**2 + r**3 + 0*r**2 - r + 2. Calculate y(v).
-8
Suppose -9*p + 8*p + 7 =
|
{
"pile_set_name": "DM Mathematics"
}
|
= -124 - -126. Which is the second biggest value? (a) q (b) -3 (c) 11
a
Suppose -5*x - 20 = w - 5*w, -4*w - 8 = 2*x. Suppose -p - 3 = -w*p. What is the third biggest value in 0, 1, p?
p
Suppose -12*y = -3*y + 36. Which is the third smallest value? (a) 6 (b) y (c) -0.2 (d) 1.5
d
Let g be 3 + 112/(-36) + 20/(-90). Which is the third biggest value? (a) g (b) 0.4 (c) -48
c
Let d be (8/10)/((-16)/40) + -1. Which is the third biggest value? (a) d (b) 0.1 (c) 27
a
Let x = -360 - -360.2. What is the smallest value in 2, 2/13, 2/15, x?
2/15
Let k = 61 + -917/15. Let x = 0.4 - 0.2. What is the fourth biggest value in -0.3, x, k, 0.1?
-0.3
Let d = -3 - 0. Let k be (-226)/(-16) - 24/192. Let o(g) = -g + 9. Let r be o(k). Which is the biggest value? (a) r (b) 0 (c) d
b
Let j be (-5)/(100/(-85)) - 5. Which is the second biggest value? (a) j (b) 0.3 (c) 5
b
Let g = -4.6 + 5. Let r be 316/(-1422)*(-1 + 26/44). What is the second biggest value in g, 4, r?
g
Let s = 21/31 + -127/279. Let d = 397/4 + -100. Which is the second biggest value? (a) s (b) 0.2 (c) d
b
Let x = 130 + -129.95. Let h be (3/6)/(2/(-4)). Which is the third biggest value? (a) 0 (b) -1/4 (c) h (d) x
b
Let h = -1400 - -1397. Let y = 12 + -12.18. Which is the biggest value? (a) 1/3 (b) y (c) h
a
Let d be ((-48)/(-168))/(1 - 0). Let w = -0.2 - -0.4. Let x = w + -2.2. What is the second biggest value in -0.2, x, d?
-0.2
Let p = -3 + 3. Let j = 0.06 + -9.06. Let o = 7 + j. What is the smallest value in o, 2/7, p?
o
Let d = -3.6 - 0. Let j = 3.6 + d. Let w = j + -4. Which is the biggest value? (a) w (b) 5 (c) 0.2
b
Let z = 756 - 3782/5. What is the third biggest value in -1/6, z, 5, 1/4?
-1/6
Let j = 0.217 - 5.217. What is the biggest value in 0.1, j, -1?
0.1
Let m(s) = s + 3. Let q be m(-5). Suppose -3*z + 4*z - 2 = 0. Let r be z/(-6)*q/(-2). What is the second biggest value in -3, 5, r?
r
Let s(f) = -9*f**2 + 39*f - 17. Let m be s(4). Let o(z) = z**2 + 9*z + 11. Let l be o(-8). What is the third biggest value in l, 2, m, -4?
-4
Let o = 223/2 + -111. Which is the third biggest value? (a) -6/7 (b) o (c) -2
c
Let s = -15 - -15.14. Let t = -0.25 + s. Let m = t + 5.11. Which is the third smallest value? (a) 4/3 (b) m (c) -0.4
b
Let f = 2569 + -2567. Suppose -4*o - 3 = -w, 0 = -2*w - 5*o - 3 - 4. Which is the third biggest value? (a) f (b) 1 (c) w (d) 0.3
d
Let s = -5 + 5.3. Suppose r + 18 = 53. Let y be 8/5*r/42. Which is the third biggest value? (a) 0.2 (b) y (c) s
a
Let n = 0.01 - -9.99. Let r = n - 5. Let h = 0.89 - -0.11. Which is the second smallest value? (a) h (b) r (c) -0.3
a
Let l = -14 - -12. Let p = l - -6. Let t = -10 - -5. Which is the biggest value? (a) p (b) -3 (c) t
a
Let p = 17.002 - 0.002. Let v = 16.9 - p. What is the third biggest value in 17, v, 3?
v
Let r be 0 + (3 - (-16)/(-5)). Let n = 29/8 - 741/200. What is the third biggest value in 3, r, n?
r
Let u = -367 + 3304/9. Which is the third smallest value? (a) u (b) -0.077 (c) -1
a
Let r = 167123/48 - 3482. Let q = 1/48 + r. Which is the biggest value? (a) 1/4 (b) -4/5 (c) q
a
Let s = 28 - 28.17. Let h = s + 0.37. What is the second biggest value in -1/2, h, 0.3?
h
Let u = -4.4 + 2. Let p = 2 + u. Let f = -436.5 + 437. Which is the second biggest value? (a) 4 (b) f (c) p
b
Suppose 0 = -5*i + 5*w + 25, 0*w = 5*i - w - 45. Suppose -14*t = -i*t + 44. Which is the second biggest value? (a) 0 (b) -5 (c) 4 (d) t
a
Let h be ((-63)/(-168))/(-2*(-18)/16). Let a be (-5)/(-3)*2/(-5). What is the third biggest value in 4/7, -4/3, h, a?
a
Let d = -762.1 - -762. What is the second smallest value in 2, 6, d, -0.5?
d
Let x = 5.26 - 5.46. Let a be 143/55 + 0 + -2. What is the third biggest value in x, a, -2?
-2
Let x = 0.09 + 81.51. Let p = -82 + x. Which is the third biggest value? (a) p (b) -1/7 (c) -5
c
Let m = -132.7 + 133.2. What is the third smallest value in -7/3, m, 4/9, -0.2?
4/9
Let d = 760 - 759.6. What is the biggest value in -1/4, d, 0.15, -2/7?
d
Let w = 1.05 - 2.05. Let d = -2.8 + -0.2. Which is the biggest value? (a) w (b) d (c) -2
a
Let f = -1.9 + -0.1. Let k = 3.19 + -0.19. Let c = k - 3. What is the biggest value in f, -1/4, c?
c
Let j be 39/36 + (-6)/(-24). Suppose 10*r - 5*r + 3*i - 9 = 0, 3*r - 4*i = 17. Which is the second smallest value? (a) 0.5 (b) j (c) r
b
Let j = -69979/645 + -37/215. Let h = j - -107. Let n = -1.7 - -2. Which is the second smallest value? (a) n (b) h (c) -1/3
c
Suppose 5*c - 3*u + 145 = -293, 5*c + 446 = u. Let o be 2 - c/25*-5. What is the smallest value in -2/7, -0.4, o, 2?
o
Let j = 162.4 - 148. Let q = j + -15. Let k = 1 + q. Which is the third biggest value? (a) -3/7 (b) k (c) -4
c
Suppose -3 = 3*k, b = 3*b - 5*k - 23. Let f be (-1)/3 - (-3)/b. Suppose -3*p + 7 - 25 = f. What is the second biggest value in p, -2/3, 0?
-2/3
Let i = 5.748 + -0.748. Which is the smallest value? (a) 27 (b) i (c) -0.1 (d) 5/2
c
Let s = -168 - -170.01. Let x = s + -0.01. Suppose -2*g + 162 = 48*g - 338. What is the biggest value in g, 3/4, x?
g
Let j be (24/27)/(((-240)/(-36))/2). What is the biggest value in j, -2/9, -0.5?
j
Let u = 11 + -14. Let g be ((-2)/10)/(2/(-25)). Let a be 1/(-3)*(-18)/8. What is the second biggest value in u, a, g?
a
Let h = -1.9 - -2. Let n = -418.4 + 418. Which is the second biggest value? (a) 3/8 (b) n (c) h
c
Let m = 80/19 + -278/57. What is the smallest value in m, -6, 1?
-6
Let i = 996/7 - 14926/105. What is the biggest value in i, 0.8, -5, -3?
0.8
Let s = -94 + 94. Let x = 1.8 - 5. Let i = x - -0.2. Which is the second biggest value? (a) i (b) s (c) 0.4
b
Suppose -10 = 42*o - 47*o. What is the fourth biggest value in 2/15, 1/3, 5, o?
2/15
Let n = -398 - -396. Which is the smallest value? (a) n (b) 0.4 (c) -0.06
a
Let n = 1.3 - 1. Suppose -170*b + 178*b = -40. What is the second smallest value in n, 4, b?
n
Let s = 2.34 - 2.04. What is the second biggest value in -2, s, 4/5?
s
Let j(h) = h**3 - 5*h**2 + 3*h + 1. Let d be j(4). Let w = -33 + 33.04. Let z = w - -0.16. Which is the biggest value? (a) d (b) z (c) 0.1
b
Suppose h + 5*x = x + 13, -9 = -3*x. Which is the second smallest value? (a) -0.08 (b) h (c) 0
c
Let m(f) = 2*f**3 - 8*f**2 - 39*f + 2. Let s be m(7). Which is the smallest value? (a) s (b) -1/2 (c) 5
b
Let m = 1 - 1/2. Suppose 0 = 1067*a - 1070*a + 9. What is the third smallest value in a, m, -2/11?
a
Suppose 2*q - 74 = -5*v + 3*q, 4*v - 58 = 2*q. Suppose 10*s - 15 = v. What is the third biggest value in -27, s, 2/3?
-27
Let p = -3 - -8. Let s = -50 + 52. Let c = -2425/7 - -347. What is the smallest value in p, c, s?
c
Let d = -97.43 - -98. Let z = 0.86 - d. What is the second smallest value in z, -2, 5/2?
z
Let s = 59 + -26. Let m = 33.2 - s. Let h = -13 + 9. Which is the second smallest value? (a) m (b) -2 (c) h
b
Let k = -109 - -114.3. Let s = k - 9.3. What is the smallest value in -0.08, -0.3, -2/9, s?
s
Let f = -153.92 + 154. Let z = 1.928 + 0.072. Which is the second smallest value? (a) -0.3 (b) f (c) z (d) 1
b
Let n be (56/(-12))/(4/(-6)). Let x(c) = -c**3 + 2*c**2 + 6*c - 6. Let y be x(4). Let w = -12 - y. What is the third smallest value in n, w, -2?
n
Let b = -3022/9 - -336. What is the second biggest value in b, -16/3, -0.2, 0.5?
b
Let q be (162/(-24) - -8)*2/20. Which is the second smallest value? (a) q (b) -3 (c) 0.8 (d) 2
a
Let m = -0.65 + 0.15. Which is the second biggest value? (a) m (b) 8 (c) -1/10
c
Let u = 803 + -802.9. Let k = 4.9 - -0.1. Which is the second smallest value? (a) -3 (b) 8/5 (c) u (d) k
c
Let x = 1763/8 - 220. Which is the fourth biggest value? (a) x (b) 0.1 (c) 0.2 (d) 5
b
Suppose 4*v + 29 = 41. Which is the second biggest value? (a) 57 (b) v (c) -4 (d) 3/5
b
Let i be (1/(-126))/(-1 + 10/15). What is the biggest value in i, -3, -1/5?
i
Let l(s) = -s**3 + 9*s**2 - 10*s + 11. Let i be l(8). Let g be i/32 + 1/2. Let h = 1/32 + g. Which is the third biggest value? (a) 4 (b) -4 (c) h
b
Let h = 11 - 15. Let n = 2.9 - 3.4. Which is the third smallest value? (a) -5 (b) n (c) h
b
Let u = 0.02 + -4.02. Let w = u - -3. Let n = 5396 - 5401. What is the biggest value in 0.2, w, n?
0.2
Let p = 0.43 - 1.43. Let g = -2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
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