 142. What is the remainder when 289 is divided by w(22)?
13
Suppose -3*y + 4*j = -0*y - 454, -2*j = 5*y - 748. What is the remainder when y is divided by 10*((-156)/40)/13 - -22?
17
Suppose -3*a - a = -84. Let r = -45 + 76. Suppose -r*u + 180 = -26*u. Calculate the remainder when u is divided by a.
15
Suppose 0 = -249*u + 251*u - 286. Calculate the remainder when u is divided by 49.
45
Calculate the remainder when 8/48 - 24848/(-96) is divided by 31.
11
Let j be -6*(-4)/(-8)*-1. Suppose 2*y = y - 2*m - 30, -j*y = 2*m + 110. What is the remainder when 38 is divided by (10/20)/((-1)/y)?
18
Calculate the remainder when 272 is divided by (2366/(-98))/((-7)/49) + 7.
96
Let w be (-48)/72*(-2 - 484). Suppose 5*x = -t + 73, 5*t + 4*x - 104 = w. What is the remainder when t is divided by 12?
4
Let q(k) = k - 1. Let u be q(5). Let c(x) be the second derivative of 7*x**3/2 - 11*x**2 - 139*x. What is the remainder when c(u) is divided by 16?
14
Suppose 25980 - 2439 = 19*s. Calculate the remainder when s is divided by 74.
55
Let d = -4202 - -4342. Calculate the remainder when 1680 is divided by d.
0
Suppose -22*f = -16*f + 60. Let y(m) = m**3 + 8*m**2 - 19*m + 21. What is the remainder when 74 is divided by y(f)?
8
Let i = -4748 + 4972. What is the remainder when 397 is divided by i?
173
Suppose -2*l + 65 = 71. Let g(o) = 5 - 3*o + o**2 + 3*o. What is the remainder when 82 is divided by g(l)?
12
Let l be 25/(-4) - 9/12. Let a(b) = -2*b + 3. Calculate the remainder when a(l) is divided by (-20)/((-20)/(-7 - -17)).
7
Let n = 13798 + -13756. Calculate the remainder when n is divided by 17.
8
Suppose -y - 38*w + 37*w + 200 = 0, -4*y = 2*w - 786. What is the remainder when 526 is divided by y?
140
Let b = -8655 - -9568. What is the remainder when 2749 is divided by b?
10
Let g = -3 + 2. Suppose 11*m + 22*m = 495. Calculate the remainder when ((-41)/2)/(g/2) is divided by m.
11
Let r = 153 + -151. Suppose -9*d = -r*d - 315. What is the remainder when 134 is divided by d?
44
Calculate the remainder when 466 is divided by (0 - 1) + 13 + (-143)/(-1).
1
Let s(z) = -27*z - 2. Let t(u) = -13*u - 1. Let n(d) = -3*s(d) + 5*t(d). What is the remainder when n(5) is divided by (315/30)/((84/(-16))/7)*-2?
25
What is the remainder when 3749 is divided by (-1)/(14 + -1)*-143?
9
Suppose 5*v - 562 = -4*o, -o + 6 = 2*v - 223. What is the remainder when 808 is divided by v?
100
Let f = -237 - -74. Let s = f - -116. Let i = s + 52. What is the remainder when 8 is divided by i?
3
Suppose 8 = -0*d + 4*d. Let z be (6/(-4))/(3/(-16))*5. Suppose -i - d*c + 10 = -z, -5*i - 5*c = -275. What is the remainder when 177 is divided by i?
57
Let m = 5963 + -5911. What is the remainder when 449 is divided by m?
33
Suppose 0 = 3*y - b - 4011, 1332 = -32*y + 33*y - 2*b. Calculate the remainder when y is divided by 331.
14
Let s(t) = 100*t**2 + 14*t + 31. What is the remainder when s(-2) is divided by 4?
3
Suppose -p - 4*p - 390 = 0. Let l = -40 - p. Calculate the remainder when (12/15)/((55/450)/11) is divided by l.
34
Suppose -19*m + 24*m = 2600. Suppose -m = 2*k - 15*k. Calculate the remainder when 72 is divided by k.
32
Let j be ((-9)/(-36))/(6/8)*-9. Suppose 0 = 2*x - x + 3*k - 21, k + 58 = 4*x. Let d = x + j. Calculate the remainder when 34 is divided by d.
10
Suppose 5*k - 5*q = 680, 564*k - 559*k + 2*q = 729. Let j = 44 - 25. Calculate the remainder when k is divided by j.
10
Let v(w) = -w**3 - 11*w**2 - 7*w - 1. Let k = -19230 + 19355. What is the remainder when k is divided by v(-11)?
49
Suppose 0 = -4*r - 2*u + 6948, 20*r - 5225 = 17*r - 5*u. Calculate the remainder when r is divided by 7.
6
Let g = 231 - 194. Let u = 141 - 74. Calculate the remainder when u is divided by g.
30
Suppose 0 = 2*m + 1590*l - 1589*l - 49, 3*m - 49 = -5*l. What is the remainder when 712 is divided by m?
12
Suppose -7*q - 48 = -11*q. Suppose 3*a + 4*w = 10 + q, 20 = 2*a + 4*w. Suppose a*p + 2*p - 52 = 0. Calculate the remainder when 22 is divided by p.
9
Let w be (2/(-4) + -1)*-54. Let r(c) = 43*c + 42*c - w*c + 43. Calculate the remainder when 50 is divided by r(-8).
6
Let j = -32 - -32. Suppose -27*s + 22*s + 180 = j. Calculate the remainder when s is divided by 28/(-49) - (-102)/7.
8
Let h(w) = w - 47. Let k(s) = 41*s**2 + s - 1. Let y = 7 + -6. What is the remainder when k(y) is divided by h(56)?
5
Let z(c) = 13*c**2 + 42*c - 172. Calculate the remainder when 367 is divided by z(5).
4
Let q(o) be the second derivative of 3/2*o**4 - 5*o + 1/2*o**3 + 3/2*o**2 + 0. Calculate the remainder when q(-2) is divided by 35.
34
Let f = -47 - -85. Suppose 0 = 146*a - 341*a + 6045. What is the remainder when f is divided by a?
7
Let o = 3737 - 3701. Let p(z) = 3*z**2 - 6*z - 3. What is the remainder when p(8) is divided by o?
33
Suppose -73*w + 1894 = 215. What is the remainder when 2436 is divided by w?
21
Let q(c) = -2*c**2 + 8*c. Let k be q(4). Let x be k*(12/3 + -5). Suppose -2*s + 8 + 22 = x. What is the remainder when s is divided by 9?
6
Let u = -269 + 412. Calculate the remainder when 69 is divided by -14*(2/(-13) + (-550)/u).
13
Let m(y) be the first derivative of y**4 - 5*y**3/3 - 3*y**2/2 + 9*y + 2. Suppose 14*j - 15 - 41 = 0. What is the remainder when m(j) is divided by 44?
41
What is the remainder when 110/(-14) - -8 - 4491/(-21) is divided by 90?
34
Let t = -5435 + 6079. What is the remainder when t is divided by 4?
0
Let s = 3 - -3. Suppose o - 8 = -2*d, 2*d = -0*o - 2*o + s. Let z = -230087 + 230096. Calculate the remainder when z is divided by d.
4
Let s be 25/(((-20)/648)/(-5)). Suppose 0 = -26*u - 19*u + s. Suppose -14 = -3*q + 55. Calculate the remainder when u is divided by q.
21
Suppose 26*n = 33*n - 112. Suppose 426 = n*x - 230. Calculate the remainder when x is divided by 9.
5
Let x(c) = 7 + 18*c - 47*c + 19*c. Suppose 4*u = 38 + 298. Calculate the remainder when u is divided by x(-1).
16
Let x = 350 - 355. What is the remainder when 82 is divided by 93/9*3/(-5)*x?
20
What is the remainder when 372 is divided by 7*8560/392 + 6/(-7)?
68
Let g(d) = 11*d**2 - 22*d - 2. What is the remainder when g(4) is divided by 7?
2
Let j = 1289 + -1249. What is the remainder when j is divided by 19?
2
Let u = 31 - 28. Suppose 0 = o - 5, 2*y + 5*o = 48 - 13. Suppose -u*p - n = -y*n - 44, -15 = -p + n. What is the remainder when 46 is divided by p?
14
Suppose -1312 = -2*h + 4*o, -h - h + 1318 = -o. Calculate the remainder when h is divided by (-13*(-11)/286)/(4/(-5312)*-8).
79
Let o(n) = n**3 - 7*n**2 - 30*n + 243. Calculate the remainder when o(6) is divided by 9.
0
Calculate the remainder when (-10)/((-70)/24913) - (11 + -4) is divided by 45.
42
Suppose 5*y + 0 + 3 = 2*n, -3*y = 4*n - 19. Let m = y - -5. Suppose -m*p + 188 = -28. Calculate the remainder when p is divided by 19.
17
Let u(v) = -6*v + 2*v - 3346 + 3429. Calculate the remainder when u(0) is divided by 42.
41
Let z(v) = 2*v**3 + 158*v**2 - 3*v + 56. What is the remainder when z(-79) is divided by 4?
1
Let f(g) = -g**3 - 16*g**2 - 33*g - 39. Let p be f(-14). Suppose 3*h + 104 = 7*h. Let k = p - h. What is the remainder when 23 is divided by k?
3
Let w = 583 - 571. Let i be 4/28 - 690/(-21). Let k = 65 - i. Calculate the remainder when k is divided by w.
8
Let f = 99134 + -99056. Suppose -2*h - 2*h = -40. What is the remainder when f is divided by h?
8
Let f = 557 - 516. Calculate the remainder when 626 is divided by f.
11
Suppose 2*r + 13*g - 12*g = 464, 0 = -5*g - 10. What is the remainder when 669 is divided by r?
203
Let f(o) = -o**2 - 3*o + 508. What is the remainder when f(21) is divided by 2*(4 + -2 + 0)?
0
Suppose 35*n - 128 = 31*n. Let f be (12/27)/(4/18). Suppose 2 = f*y - 34. Calculate the remainder when n is divided by y.
14
What is the remainder when 749 is divided by 4/42 + 23 + 2872/(-168)?
5
Calculate the remainder when (-4)/2 - 36*-1 is divided by ((-1892)/(-20) + (-2)/(-5))*39/195.
15
Suppose 4*s - 30 = -4*b + 2*b, 2*s + 5 = 3*b. Suppose -3*t = 0, h + s*t = -0*h + 58. Calculate the remainder when h is divided by 45.
13
Suppose -2*c + 2*j + 196 = -2*j, -196 = -2*c + 3*j. Let i = 76 - 60. Suppose -i = -a + 9. Calculate the remainder when c is divided by a.
23
Suppose -z = 4*a - 60, -4*a + 168 = 4*z - 24. Calculate the remainder 