. Suppose 9 = f*a - 3. Calculate the remainder when 10 is divided by a.
2
Let j = 2 - -2. Suppose j*t - 199 = 197. Suppose 0 = y - 12*y + t. What is the remainder when 18 is divided by y?
0
Let h = -75 - -89. Let p(g) = -h + 6*g - 6 + 0. Calculate the remainder when 154 is divided by p(10).
34
Let y(h) = 29*h**2 + 27*h + 28. Calculate the remainder when 707 is divided by y(-1).
17
Let q(m) = m**3 - 50*m**2 + 233*m - 140. Calculate the remainder when q(45) is divided by 5.
0
Let a(d) = 18*d - 104. Let r be -3 - (-5)/2*72/20. What is the remainder when 91 is divided by a(r)?
3
Let m = -43 - -52. Suppose -5*k - 25 = 0, -n + 5*k + m = -3*n. Let a = 69 + -41. What is the remainder when a is divided by n?
4
Let a = 26 - 26. Suppose a = -w - w - g + 145, -349 = -5*w + 2*g. Calculate the remainder when w is divided by ((-18)/(-7))/((-3)/(-14)).
11
Let h = 8868 + -8385. What is the remainder when h is divided by 54?
51
Let i = 25 - 5. Let n(q) = -18 + i*q**2 + 17 + 24*q**2. Calculate the remainder when 128 is divided by n(-1).
42
Let u = -160 + 140. Let j(x) = -x + 15. What is the remainder when j(7) is divided by -6*((-3)/(-6) + u/24)?
0
Let w(l) = 259*l - 6200. What is the remainder when w(26) is divided by 137?
123
What is the remainder when (-25482675)/(-675) + (-30)/27 is divided by 143?
142
Suppose 3*n - 711 = -4*m, 14*n - 13*n + 5*m = 215. Calculate the remainder when n is divided by 193.
52
Let b = 3635 + -3556. Calculate the remainder when 123 is divided by b.
44
Let x = -434 - -433. Let w(r) = 19*r**2 + 7*r + 7. Calculate the remainder when w(x) is divided by 3.
1
Let s = 9160 - 9113. Calculate the remainder when s is divided by 11.
3
Suppose -77 - 111 = -4*p. Suppose 0 = -10*z - 6*z + 4*z + 1668. Calculate the remainder when z is divided by p.
45
Suppose 0 = 2*u - l + 802, -l - 3*l = 4*u + 1580. Let d = u + 403. What is the remainder when 39 is divided by d?
3
Suppose -85*n + 141 = -89*n + 525. Calculate the remainder when 453 is divided by n.
69
Let v = -268 - -429. Let r = -107 + v. What is the remainder when 207 is divided by r?
45
Let c be ((-9)/(-2))/(2/(-8)). Let y be (-2)/3 - c/27. Suppose 2*j - 188 - 36 = y. What is the remainder when j is divided by 23?
20
Let l(f) be the third derivative of f**4/12 - 17*f**3/6 + 19*f**2. Let r be l(10). Suppose 0 = -r*n + 110 + 421. What is the remainder when n is divided by 30?
27
What is the remainder when 1 + -9*4122/(-162) is divided by 64?
38
Suppose 657 = 32*g - 131 - 2444. What is the remainder when 801 is divided by g?
94
Let n be 136/(-340) + (-4734)/(-10). Let f = -453 + n. Calculate the remainder when f is divided by 14.
6
Let u = 163 - 153. Suppose -u*d + 9*d - 3 = 2*x, 5*d - 9 = 2*x. Calculate the remainder when 3 is divided by d.
0
Let t be 240/(3 + 63/(-24)). Let b = -314 + t. Let h = b + -220. Calculate the remainder when h is divided by 27.
25
Let q(p) = -p**3 - 13*p**2 - 28*p + 13. Let w be q(-10). Let g(i) = -i**3 + 6*i**2 + 2*i. What is the remainder when g(5) is divided by (-4 - -3 - w)*3?
17
Let h(v) be the third derivative of v**5/60 + v**4/3 + 19*v**3/3 + 242*v**2. What is the remainder when h(-5) is divided by 10?
3
Suppose 981 + 111 = 45*p + 46*p. Suppose 423 = 3*q - 0*q. What is the remainder when q is divided by p?
9
Let z be 28/(-5)*(-5 + 5 + 5). Let a = z - -45. What is the remainder when 57 is divided by a?
6
Let f = 53 + -31. Let x(d) = 4*d - 73. Suppose -3*i = 2*q - 63, -2*q - 3*i - 72 = -5*q. Calculate the remainder when q is divided by x(f).
12
Calculate the remainder when (-84)/(-48) + (-1133)/(-4) is divided by 27.
15
Let h be -441 - 7/(-14)*8. Let i = h - -550. What is the remainder when i is divided by 37?
2
Let i = -8490 - -9165. What is the remainder when i is divided by 306?
63
Let z = 5113 + -5102. What is the remainder when 1670 is divided by z?
9
Suppose 2*d - b + 2*b - 21 = 0, 51 = 3*d - 5*b. Let s(c) = -c**2 + 32*c - 40. What is the remainder when s(17) is divided by d?
11
Suppose n - 570 = -5*i, -456 = -4*i - 36*n + 35*n. Calculate the remainder when i is divided by 35.
9
Suppose -8*b = 672 + 336. Let w = -112 - b. Calculate the remainder when 82 is divided by w.
12
Suppose -4*u - 239 = -39. Let m = u - -39. Calculate the remainder when (-436)/(-22) + (-2)/m is divided by 7.
6
Let t(u) = -6*u**3 + u**2 - 2*u - 2. Let p be t(-1). Suppose 0 = -m - 4, -3*m - 34 + p = -5*k. Calculate the remainder when 291/21 - 1/(-7) is divided by k.
2
Let o = 105 - 103. Let h be (o/2 - 9)*(-3)/12. Suppose -h*d = -2*i - 34, 0 = 3*d - 2*i - 50 + 2. Calculate the remainder when 64 is divided by d.
8
Suppose 135*y - 40066 = 68069. What is the remainder when y is divided by 58?
47
Let j be ((-7)/3)/7*-6. Suppose -j*g + 14 = -r - 26, 0 = 2*r. What is the remainder when 53 is divided by g?
13
Suppose -38*h - 2*h = -16280. What is the remainder when h is divided by 83?
75
Let p(j) = 43*j - 622. What is the remainder when 1379 is divided by p(15)?
22
Let x(g) = 3*g - 7. Let b be x(16). Let n = b - 23. Let r = -33 - -66. Calculate the remainder when r is divided by n.
15
Let s be (-217950)/(-400) + 1 + 7/(-8). Let p = s - 527. What is the remainder when 84 is divided by p?
12
Suppose -2520*v = -1260*v - 1250*v - 8840. What is the remainder when v is divided by 33?
26
Suppose -4*l - 394 = -2*z, -2*z - 10*l = -7*l - 373. What is the remainder when 1705 is divided by z?
177
Let k be -1 - 4/(-12) - 4/3. Let z be k/4 + 1/(14/35). Let f(g) = 10*g**2 - 4*g - 2. What is the remainder when f(z) is divided by 16?
14
Suppose 0 = c + 3*h - 53, 11*c - 21 = 10*c + h. Suppose -y - 3*z + 124 = -28, -5*z = -4*y + 540. Calculate the remainder when y is divided by c.
24
Let y = -65 - -96. Let n = 351 + -213. Suppose -2*x = 5*q - 285, 2*q - 4*x + 0*x - n = 0. Calculate the remainder when q is divided by y.
28
Let a = 0 + 2. Let t = 164 - 160. Suppose 4*u + 2*b - 61 = 1, -t*u - 3*b = -65. Calculate the remainder when u is divided by a.
0
Suppose -2*y = -7*y. Suppose 2*w = -4 - y. What is the remainder when 56 is divided by ((-5)/w)/(7/42)?
11
Let l = -94 + 184. Calculate the remainder when l is divided by 59 - 116/((-7308)/(-2835)).
6
Suppose 1565*n = 1573*n - 4352. What is the remainder when n is divided by 140?
124
Let h(o) = 4*o - 30. Let q(b) = -3*b + 29. Let f(v) = 5*h(v) + 6*q(v). Let u be 2/4 + (-21)/42 - 6. What is the remainder when 42 is divided by f(u)?
6
What is the remainder when 435 is divided by -423*-8*11/264?
12
Suppose 0 = 5*x - 3*p - 64, 0 = -p + 2 - 0. Let z be -314 + (-4 + 1 + 3)/(-1). Let a = z - -319. What is the remainder when x is divided by a?
4
Let z be -1 + (-1)/2*18*2. Let t = 27 + z. What is the remainder when 33 is divided by 16 + (12/(-18) - t/(-3))?
15
Calculate the remainder when 24 is divided by 24/2 - (-9)/((-72)/(-32)).
8
Let o = 23 - -25. Calculate the remainder when o is divided by (-6)/(5 - 6)*35/42.
3
Let p(i) = 5*i**2 + 10*i - 345. Calculate the remainder when p(11) is divided by 102.
64
Suppose 0 = 3*b + 2*z - 7, -3*z = -4*b + 6 + 26. Calculate the remainder when 301 is divided by 184/b + (-72)/(-60).
35
Suppose o = 1130*h - 1125*h - 2514, -5*h - o = -2506. Calculate the remainder when h is divided by 251.
0
Let o = 2365 + -2014. Calculate the remainder when o is divided by 289.
62
Suppose 0 = -52*k + 55*k - 180. Let c be 66/5 - (-48)/k. Let u(b) = b**2 - 5*b - 25. Calculate the remainder when u(c) is divided by 34.
33
Let b = 8 + -2. Let w(i) = 3*i - 7. Let k(h) = -2*h + 4. Let d(f) = 5*k(f) + 2*w(f). Calculate the remainder when b is divided by d(1).
0
Suppose 758 = 2*r - 1838. Suppose -6*b + b + z = r, 0 = -4*b - z - 1042. Let u = b + 404. Calculate the remainder when u is divided by 21.
18
Let p be (-3)/(6/350) + -63 + 58. Suppose -30 = 5*s - 150. Calculate the remainder when (-1016)/(-30) - s/p is divided by 4.
2
Let w = -159 - -239. Let n = 149 - w. Calculate the remainder when n is divided by 14.
13
Suppose -86*h + 90*h + 6*p - 82 = 0, 0 = 3*h - 5*p - 128. Let i = 5 + -2. Suppose 6*z = i*z + 12. Calculate the remainder when h is divided by z.
3
Let m = 39639 - 35203. What is the remainder when m is divided by 403?
3
Let m = 499 - 54. Suppose -25*h - m = -30*h. What is the remainder when 272 is divided by h?
5
Calculate the remainder when ((384/(-