i?
23
Suppose 152 = 4*x + 2*a, -5*a + a = -2*x + 56. What is the remainder when 77132/14024*(188/11)/2 is divided by x?
11
Suppose -r + 36 = -5*g - 55, -2*g = -2*r + 206. Suppose -101*s + r*s - 15 = 0. Let z(m) = m**2 - m + 6. What is the remainder when z(0) is divided by s?
0
Suppose 34*h - 2312 = 20468. Calculate the remainder when h is divided by 8.
6
Let f = -214 + 214. What is the remainder when (f + (-110)/(-4))*30/25 is divided by 8?
1
Suppose 112 = 4*q - 224. Let i be 12/(-20) - q/(-15). Suppose 3*a - 12 = 0, 0 = i*f - a - 4*a - 45. Calculate the remainder when f is divided by 5.
3
Let f(a) = -a + 47. Let u be f(-7). Suppose 84 - u = z. What is the remainder when 82 is divided by z?
22
Let c = 69 + -151. Let p = c + 112. What is the remainder when 82 is divided by p?
22
Let l(a) = -a**3 + 3*a**2 + 6*a - 4. Let i be l(4). Let t = 2 + i. Let n(z) = 462*z + 3706. Calculate the remainder when n(-8) is divided by t.
4
Suppose -118 = -4*b + 3*b. Suppose 2*k - r - 45 = k, -2*k - 5*r = -b. Calculate the remainder when k is divided by 25.
24
Suppose -895*v - 204 = -897*v + b, 0 = b + 6. Calculate the remainder when 2672 is divided by v.
98
Let k = 4791 - 2785. What is the remainder when k is divided by 667?
5
Let s = -1463 - -1775. What is the remainder when s is divided by 92?
36
Let o(m) = 54*m - 959. What is the remainder when 90 is divided by o(18)?
12
Suppose -24 = -h + 5*k, -h + k + 12 = -0. Let g(b) = 9*b - 5. Let m be g(2). What is the remainder when ((-3)/(-4))/(m/572) is divided by h?
6
Suppose 0 = 3*t - i - 3151, -81*t - 4*i = -77*t - 4164. What is the remainder when t is divided by 170?
28
Let s(z) = -19*z**3 + z**2 - 28*z + 14. What is the remainder when s(-4) is divided by 16?
14
Suppose y - 4*y = -4*p + 459, 5*p - 530 = -5*y. Suppose -973*j + 896 = -909*j. Calculate the remainder when p is divided by j.
13
Let u(k) = 2*k**2 - k + 4. Suppose -j + 47 = -31*l + 35*l, l = -j + 47. Calculate the remainder when j is divided by u(-3).
22
Suppose -276 - 284 = -2*h. Suppose 0 = -y + 4, h = 4*p + 3*y + y. Let k = 6755 - 6738. Calculate the remainder when p is divided by k.
15
Suppose -289*y + 2632 - 175 + 1011 = 0. Let d(g) = -62*g - 1. What is the remainder when d(-1) is divided by y?
1
Let y = -83 + 83. Suppose 1357 = 4*t + f, -t + y*t + 343 = -f. Suppose -6*n + 2*n + t = 0. Calculate the remainder when n is divided by 29.
27
Let w(f) = f**3 - 21*f**2 - 78*f + 206. What is the remainder when 863 is divided by w(24)?
57
Let t = -157 - -160. Suppose t*o + 6 = 0, -o = -b + 3*o + 75. What is the remainder when b is divided by 7/(7/2 + -3)?
11
Suppose 42*k - 835 = 5. Calculate the remainder when 2 + 182/2 + 2 + -1 is divided by k.
14
Let n = 8430 + -8294. Calculate the remainder when n is divided by 25.
11
Let a(n) = 88*n**2 - 434*n + 16. Calculate the remainder when 1134 is divided by a(5).
30
Suppose 655 = -16*n + 4191. Suppose n = 11*p + 6*p. What is the remainder when p is divided by 7?
6
Let n = -8 - -19. Let i be (8/(-32) - 7/(-12))*786. Let l = i + -220. What is the remainder when l is divided by n?
9
Let j(l) = -88*l + 9. Let h be j(-1). Let k = -65 + h. Suppose 10 = 2*s - 0*s. Calculate the remainder when k is divided by s.
2
Let d = -89 + 157. Let n be 12/27 + 2924/(-18). Let m = n + 197. What is the remainder when d is divided by m?
33
Suppose -3*y = -l - 100, -3*y + 9*l = 5*l - 85. Suppose y = -4*n + 271. Suppose d + 51 = 3*c - 2*d, -d = 4*c - 58. What is the remainder when n is divided by c?
14
Let c(j) = 175*j**2 + j + 1. Suppose 6*t + 19*t = 221 - 21. What is the remainder when c(-1) is divided by t?
7
Let m(n) = 4*n**2 - 5*n**2 + 10 + n - 8*n. Let k be m(-8). Suppose -4 + 14 = k*l. Calculate the remainder when 23 is divided by l.
3
Let i(c) = -c**3 + 2*c**2 + 2*c + 46. Suppose 12 = 8*f - 5*f. Suppose 0*r + 5 = s + r, -3*r + 15 = -f*s. What is the remainder when i(s) is divided by 13?
7
Suppose 6*z - 21 = 3. Suppose -z*s = -8*s. Suppose 183 = 3*m - 3*g, -3*m + 2*g + 0*g + 185 = s. Calculate the remainder when m is divided by 16.
15
Suppose 5*j = -5*l + 35 + 190, 2*j - 2*l = 94. Calculate the remainder when 1741 is divided by j.
39
Suppose -4*t = -40 - 32. Calculate the remainder when ((-4565)/110)/((-1)/2) is divided by t.
11
Let m(h) = h + 11. Let y be m(-7). Let c(r) = 12*r - 19. Calculate the remainder when 114 is divided by c(y).
27
Suppose -1052*m + 1049*m = -189. Let f(l) = -4*l**3 - 4*l**2 - 7*l - 4. Calculate the remainder when m is divided by f(-2).
11
What is the remainder when 128 is divided by (5/20)/((-6)/(-1992))?
45
Suppose 0 = -10*g + 8*g - 5*r + 583, -g = -r - 288. Let i = 310 - g. Calculate the remainder when 418 is divided by i.
19
Let s = -4623 + 3033. Calculate the remainder when 1216 is divided by 24/(-60)*s/12.
50
Let c = 34 - 30. Suppose s - c*s = -3*d - 15, -4*s - 4*d = 20. Suppose 0 = r - 73 - s. What is the remainder when r is divided by 19?
16
Let x(h) = h**3 - 2*h**2 + 11*h - 94. Calculate the remainder when 112 is divided by x(5).
4
Let a = -6482 + 6491. What is the remainder when 384 is divided by a?
6
Suppose 3*n - 42 - 18 = -3*c, 8 = -2*n. Calculate the remainder when 349 is divided by c.
13
What is the remainder when ((-8)/(-28))/(7 - (-36)/1533*-298) is divided by 39?
29
Let y(t) be the first derivative of t**3/3 + 23*t**2/2 + 44*t + 136. What is the remainder when 191 is divided by y(-22)?
15
Let c = 583 - 500. What is the remainder when 426 is divided by c?
11
Let x = 6549 + -2671. Calculate the remainder when x is divided by 10.
8
Let q(z) = 1580*z - 11036. What is the remainder when 10844 is divided by q(7)?
20
Suppose 3*x - 6 = 0, 3*x = 3*l + 2*x - 88. Let f(m) = -2*m**3 + 61*m**2 + 71*m + 964. What is the remainder when f(32) is divided by l?
14
What is the remainder when (112/60)/((-36)/(-270)) is divided by 8?
6
Let m(f) = 20*f**2 - 42*f**2 - 108 + 21*f**2 + 30*f. Calculate the remainder when 64 is divided by m(25).
13
Suppose 3*m - 5*w - 219 = 0, 0*m + 2*w + 219 = 3*m. Calculate the remainder when -6 - (1 + (-1 - 2)) - -587 is divided by m.
72
Suppose 2*t + 18 = 5*q, 2*t = -q - 3*q. Suppose 2*r - 10 = -q. Suppose r*v = -v + 55. Calculate the remainder when 38 is divided by v.
5
Suppose 106048 = 91*c - 33546. What is the remainder when c is divided by 44?
38
Suppose -3*i = 5*a - 37, 4*a - 32 = -3*i - 0. Let m = -21574 - -21588. Calculate the remainder when m is divided by i.
2
Let b be (-112)/(-24)*(-1296)/84. Suppose -n + 29 - 140 = 0. Let j = b - n. What is the remainder when 115 is divided by j?
37
Let j(l) = -2*l**2 + 16*l + 14. Let t(m) = m**2 - 17*m - 14. Let v(f) = 2*j(f) + 3*t(f). Let u = -21 + 45. What is the remainder when v(-15) is divided by u?
22
Let j(u) = 19*u**2 - 6*u + 14. What is the remainder when j(5) is divided by 151?
6
Suppose -5*k - 10*k + 375 = 0. What is the remainder when ((-90)/k*1)/((-2)/45) is divided by 12?
9
Suppose -10*i + 72*i - 7153 = 3511. What is the remainder when i is divided by 93?
79
Suppose 15 = 4*r - 3*q - 62, -r = -2*q - 13. Suppose -r*s + 366 = -17*s. Calculate the remainder when s is divided by 32.
29
Let w = -36 - -48. Let c(t) = 4*t**2 - 33*t - 137. What is the remainder when c(-4) is divided by w?
11
Suppose -a + 5*l + 18 = 0, -3*a + 7 + 25 = -4*l. Let m be 180/(-21) - ((-68)/(-28) - 2). Calculate the remainder when m*(4 - 664/24) is divided by a.
5
Let q(v) = -v**2 + 444*v - 46763. Calculate the remainder when 53 + (-1 + 3 - 0) is divided by q(172).
13
Let g = 121 - 63. Suppose -110 = -24*h + 2530. What is the remainder when h is divided by g?
52
Suppose 5*h + 4*b = 2, -h + 3*h + 2 = -3*b. Let c be 23/h*(7 - 6 - -3). Suppose -c*o + 49*o - 90 = 0. Calculate the remainder when o is divided by 16.
14
Suppose 0 = -6*w - 201 - 345. Let t = w + 234. Let j = 514 - 496. What is the remainder when t is divided by j?
17
Let a = 216 + -212. Suppose -x - 4*y + 13 = -45, -18 = -x + a*y. What is the remainder when (2/2 - -73)*2 is divided by x?
34
Suppose 20885 + 20334 = 95*m + 11009. Calculate the remainder when 3187 is divided by m.
7
Let y = -109 - -285. Let k = y + -157. What is the remainder when 37 is divided by k?
18
Let x = 42544 + -42501. What is the remainder when 2448 is divided by x?
40
Let v = 1758 + -1747. Suppose -2*p - 3*w + w = 