ivided by 8.
3
Let l be 2/15 - (-6467)/435. Suppose 11*z + 34 = m + l*z, -2*m + 5*z + 81 = 0. Calculate the remainder when m is divided by 4.
2
Suppose 0 = -8*x - 20*x + 420. Calculate the remainder when x is divided by 2.
1
Suppose -2*a + 592 = 4*o + 56, 527 = 2*a + o. What is the remainder when a is divided by 23?
9
Suppose -6*b = 885 + 171. Let l = b + 55. Let u = 12 - l. What is the remainder when u is divided by 34?
31
Suppose -256 = -2*f + 2*k, -f - 2*f - 4*k + 391 = 0. Let z = 197 - f. What is the remainder when z is divided by 4?
0
Suppose 207 = 2*r - 5*q, q - 201 = 267*r - 269*r. What is the remainder when 2220 is divided by r?
99
Let m(r) = -r**2 + 24*r - 125. Let j be 51/(-136) + (-201)/(-24). Calculate the remainder when 11 is divided by m(j).
2
Suppose 3*t = 481 - 145. Suppose -173 = -l + t. Suppose -120 = -7*w + 4*s, 115407 - 115337 = 4*w - 3*s. What is the remainder when l is divided by w?
13
Suppose q - 5*m - 155 = 239, -5*m = 3*q - 1282. What is the remainder when q is divided by 167?
85
Let z = -2046 + 1223. Let u = 833 + z. What is the remainder when 116 is divided by u?
6
Let u be (-1644)/(-108) - (-2)/(-9). Let f be (-1 + -3)*(u + -16). Suppose r - x + 73 = f*r, -3*r + 2*x + 61 = 0. What is the remainder when 45 is divided by r?
22
Suppose -18*w + 14*w + 4*y = -20, 5*y = 0. Suppose 6*v + w*z = 3*v + 79, 5*v + 3*z = 121. What is the remainder when 81 is divided by v?
12
Calculate the remainder when 157 is divided by -18*6/(-24)*(-240)/(-27).
37
Calculate the remainder when 1995 is divided by (-170)/21 + 8 - (-83588)/252*3.
5
What is the remainder when 428 is divided by 484/(-121)*(-4 - 0)?
12
Let i(h) = 5*h - 4. Let t be i(4). Suppose -26 = -6*n + t. Suppose -n*q - 48 = -9*q. What is the remainder when 94 is divided by q?
22
Let p(d) = 8*d**2 + 5*d + 7. Let x be p(-2). Suppose 7*q + x - 85 = 0. What is the remainder when 37 is divided by q?
5
Let y = -16421 + 16484. Calculate the remainder when 1030 is divided by y.
22
Suppose 7*r - 1487 = -5190. Let f = r - -542. What is the remainder when 636 is divided by f?
12
Let g(x) = -4*x - 77. Let v be g(-20). Suppose 2*j - v*l - 2*l = 223, -4*l = -4*j + 416. Let n = -22 + 56. Calculate the remainder when j is divided by n.
31
Let f(q) = q**3 - 2*q**2 - 29*q + 102. Calculate the remainder when 759 is divided by f(3).
15
Suppose -4*t = 48 - 24. Let i be (-3*(-1)/2)/((-1)/t). Suppose -i*l + 6*l + 165 = 0. What is the remainder when l is divided by 28?
27
Let o = 66 + -21. Let a = -13506 + 13513. Calculate the remainder when o is divided by a.
3
Suppose 7872 = -218*a + 226*a. Let o = a - 782. Calculate the remainder when o is divided by 21.
13
Let y be 34/(-153) + 76/18. Suppose -y*p = 2 - 18. Suppose -p*m = -m - 132. What is the remainder when m is divided by 15?
14
Let w(d) = 5*d**2 + 16*d - 206. What is the remainder when w(13) is divided by 21?
7
Suppose 119*a + 180 = 124*a. What is the remainder when 374 is divided by a?
14
What is the remainder when (1 + 21/(-9))/(8/(-1236)) is divided by 24?
14
Suppose 0 = 4*y + 11*y - 420. Calculate the remainder when 62 is divided by (-2)/7 + 904/y.
30
Suppose -3*j + 66 = -0*j. Let l = 19 - -19. Suppose -y + 2*o - 2 = 0, 2*y + 3*y = -2*o + l. What is the remainder when j is divided by y?
4
Suppose 7*u = 16*u - 306. Calculate the remainder when -3 - (-7 - -2)*(-1062)/(-45) is divided by u.
13
Suppose -990 + 518 - 1047 = -7*j. Calculate the remainder when 4546 is divided by j.
206
Let c(g) = -105*g - 3436. What is the remainder when c(-38) is divided by 27?
14
Suppose -315*b + 55*b = 69*b - 323736. What is the remainder when b is divided by 261?
201
Let l(r) = -r**3 - 36*r**2 - 20*r - 96. Let u be l(-35). Let k = u + 641. Calculate the remainder when 297 is divided by k.
17
Suppose -6*x + 178 = -26. Let m be (x/6 - -2)*45. Suppose m = 15*r + 45. Calculate the remainder when 31 is divided by r.
11
Suppose 2*q - 36 = -q. What is the remainder when -33 - -33 - (-185 - 14) is divided by q?
7
Suppose w = -i + 750, 8 = -i - 4*w + 731. What is the remainder when i is divided by 16?
7
Suppose -48*q + 12 - 60 = 0. What is the remainder when 78 is divided by -12 + 17 - 2*q*2?
6
Suppose 3*r - 5*k = 182, -5*k = 3*r - 9*k - 187. Suppose -6*s = -70 - 56. Calculate the remainder when r is divided by s.
6
Let d(z) = 4*z + 13. Suppose -5*m - r = 2, 4*r + 2 + 6 = 0. Let a be d(m). Let j(k) = k**2 - 12*k - 2. Calculate the remainder when 22 is divided by j(a).
0
Suppose 188 = 4*m + 6*j, 0*m - 3*j = -3*m + 156. What is the remainder when 618 is divided by m?
18
Suppose -17*s - 55*s = -4*s - 1020. What is the remainder when 244 is divided by s?
4
Let c(v) = -v + 6. Let n be c(3). Suppose -8*i = -n*i - 375. Let k = -386 - -424. What is the remainder when i is divided by k?
37
Let o(k) = 85*k + 355. Calculate the remainder when 1333 is divided by o(-4).
13
Let m = 25008 + -11209. What is the remainder when m is divided by 115?
114
Suppose -9685 = -44*r + 17595. Let x = r + -495. Calculate the remainder when x is divided by 35.
20
Let z be (12/(-8))/((-27)/180). Suppose 0*i - z*i = -680. What is the remainder when 133 is divided by i?
65
Suppose 0 = -870*s + 889*s - 13338. Calculate the remainder when 2119 is divided by s.
13
Let d = 13 + -11. Let s be 2 + d + 3 + 3. Calculate the remainder when 0 + (-4)/s + (-3934)/(-35) is divided by 29.
25
Let c(n) = n**3 - 13*n**2 + 50*n - 19. Calculate the remainder when 225 is divided by c(9).
11
Let j(z) = 55*z - 30. Calculate the remainder when j(44) is divided by 63.
59
Let l(i) = -39*i + 106. What is the remainder when l(0) is divided by 41?
24
What is the remainder when ((-13965)/75)/(28/30 - 1) is divided by 5?
3
Suppose -2*g + 5*a = -39, -g = 2*a + 2 + 1. Suppose g*b = -0*b - 315. Let q = 75 + b. Calculate the remainder when q is divided by 11.
8
Let s(g) = -g**2 + 106*g + 1843. What is the remainder when 1168 is divided by s(-13)?
280
Suppose 0 = 5*b - 15. Suppose m = -2 + b. Calculate the remainder when (113 - 4) + (m - -2) is divided by 23.
20
Suppose -670*m + 668*m = 46. What is the remainder when (m/3)/(22/(-1650)) is divided by 16?
15
Let w(x) = -x**2 - 9*x + 4. Let c = 8 - 16. Calculate the remainder when w(c) is divided by ((-20)/90)/((-10)/180).
0
Let d(z) = 30*z**2 + 6*z - 18*z**2 + z + z + 1. Calculate the remainder when d(-4) is divided by 15.
11
Suppose 4*a - 3*p = -2*p - 11, 0 = -3*a + 4*p + 8. Suppose -1 - 5 = -f. Calculate the remainder when -3 + (-2691)/(-99) - a/(-22) is divided by f.
0
Suppose -2*c + 2*j + 316 = 0, 94*c - 98*c + 637 = -3*j. Calculate the remainder when c is divided by 14.
9
Let t be (-808)/(-40) + 1/(-5). Let s = t - 18. Suppose 0 = k - s*w - 11, -33 = -3*k - 2*w. What is the remainder when 75 is divided by k?
9
Let k = 5870 - 5530. Calculate the remainder when k is divided by 133.
74
What is the remainder when 224 is divided by 12600/270 - 4/6?
40
Let k = -67 - -67. Suppose 0*l + 2*l - b = 8, k = 2*b + 4. Let n(p) = 6*p**2 - 8*p + 7. What is the remainder when n(l) is divided by 13?
11
Let l(h) = h**3 - 10*h**2 - 19*h - 39. Suppose 4*g - 693 = -5*n, g - 2*n - 170 = -0*n. Suppose -5*m + 28 = -g. What is the remainder when m is divided by l(12)?
19
Calculate the remainder when (-2317)/(-2)*320/280 is divided by 312.
76
Let n = -61939 - -61963. Let x = -7 - -3. Calculate the remainder when (-89)/3*(x - -1) is divided by n.
17
Let x(j) = 72*j - 7481. What is the remainder when 394 is divided by x(105)?
78
Suppose -7*s + 2*s = 0. Suppose 2*l = h - 21 - 23, 3*h - 4*l - 126 = s. What is the remainder when (-5)/((-20)/12) + (-10 - -119) is divided by h?
36
Let v(g) = g**3 + 23*g**2 + 65*g - 156. What is the remainder when v(-19) is divided by 24?
5
Let o(l) be the third derivative of -5*l**4/4 - 12*l**3 - 32*l**2 + 3. What is the remainder when 358 is divided by o(-3)?
16
Let s be -6*(7/3 - (-8)/2). Let h be (-1995)/s - (-2)/4. Let i = h + -29. Calculate the remainder when 45 is divided by i.
21
Suppose 3*m = 12, 362 = z + 3*m + 102. Calculate the remainder when z is divided by 18.
14
Let a = 158 - 60. Suppose 5*f + a = -2*l, -52 = 3*f - l - 2. Let c = f - -32. What is the remainder when 48 is divided by c?
6
Suppose 88*h - 30*h - 10125 = -67*h. What is the remainder when 378 is divided b