is divided by 8?
6
Let x = 427 + -317. Calculate the remainder when x is divided by 91.
19
Let z(h) = 5*h**3 - 4*h**2 - h + 6. What is the remainder when 110 is divided by z(2)?
26
Let a = -271 + 300. What is the remainder when 109 is divided by a?
22
Suppose l = -3*q + 470, -l - 145 = -q + 9. Suppose 0*a = 2*a + q. Let t = a + 124. Calculate the remainder when t is divided by 12.
10
Suppose 16*i + 246 = 870. Calculate the remainder when 77 is divided by i.
38
Let f = 27 - -32. Suppose 2*p + q = 23, 5*p - f = -5*q + 3*q. What is the remainder when 14*(2 - (-5)/2) is divided by p?
11
What is the remainder when ((-14)/12)/((-2)/24) is divided by 4/(-30) + 959/105?
5
Let t(i) = 3*i**2 + i - 2. Let x be t(-2). Suppose -28 = -2*c + 2*f, 2*f - x = -4*c + 36. Calculate the remainder when 64 is divided by c.
4
Suppose 0 = 8*o - 137 - 95. Calculate the remainder when 49 is divided by o.
20
Let j(f) = 4*f**2 + 2*f - 64. Let h(l) = -l**2 - l + 1. Let x(k) = -2*h(k) - j(k). Let y(o) = 4*o - 11. Calculate the remainder when x(0) is divided by y(6).
10
Let l(y) = 18*y**2 + 2*y - 3. Suppose -2*p - 41 = -3*u - 218, u + 3*p + 48 = 0. What is the remainder when l(2) is divided by (1 - -2)/(-3 + (-180)/u)?
16
Suppose 3*y - 5*i = 41, -3*y - i + 59 + 12 = 0. What is the remainder when 522 is divided by y?
16
Let w(h) = -h - 3. Let x(q) = -2*q - 5. Let c(g) = 5*w(g) - 2*x(g). Let b be c(-9). Calculate the remainder when (-999)/(-36) + 1/b is divided by 15.
13
Let z = -53 - -91. Let w = -27 + z. What is the remainder when (0 - -1) + 30 + 0 is divided by w?
9
Let o = 221 - 159. What is the remainder when 181 is divided by o?
57
Suppose 3*g - 15 = 0, -4*z + 9*z = 3*g + 150. What is the remainder when z is divided by 19?
14
Let p(t) be the first derivative of -t**4/4 - 2*t**3 - 9*t**2/2 - 6*t - 10. Calculate the remainder when p(-6) is divided by 13.
9
Suppose 6*o + 13 = 7*o. Let a(i) = 6*i**3 + 2*i**2 - 2*i - 1. What is the remainder when a(2) is divided by o?
12
Let a(f) = f**3 - f**2 + 5. Let w be a(0). Suppose 11 - w = -3*b. What is the remainder when 4 + -2 - 40/b is divided by 5?
2
Let j(m) = 9*m + m**2 - m + 3 + 9. Calculate the remainder when j(-9) is divided by 6.
3
Suppose -3*p = 4 - 55. What is the remainder when 270 is divided by p?
15
Let a(t) = -7*t**3 + 1. Suppose 8 + 6 = 3*y - 5*u, -6 = -y + 2*u. Let k(c) = 12*c**2 + 2*c - 6. What is the remainder when k(y) is divided by a(-1)?
6
Suppose 0 = -3*g - 5*m + 26, g + m - 10 = -4. Suppose -5 = -g*k + 5. Let q = -8129 + 8145. Calculate the remainder when q is divided by k.
1
Let d = -20 - -22. What is the remainder when d/3 - 1236/(-36) is divided by 20?
15
Suppose 4*m + 7 = 83. Suppose 5*w + 570 = 5*l, -4*w - 465 = 4*l + 7. Let c = -62 - w. What is the remainder when c is divided by m?
16
Let p(w) = w**3 - 5*w**2 - 4*w + 2. Let d be p(4). Suppose -1334 = -3*t - 4*z, 16 = 4*z - 4. What is the remainder when 6/d - t/(-15) is divided by 10?
9
Calculate the remainder when 216 is divided by 34 + (3/(-6))/((-10)/(-60)).
30
Let q = -75 + 79. What is the remainder when 42 is divided by q?
2
Suppose -46*i - 264 = -49*i. Calculate the remainder when i is divided by 18.
16
Suppose 6*s = 5*s + 17. Let y(t) = -t**3 - 28*t**2 - 26*t + 33. What is the remainder when s is divided by y(-27)?
5
Suppose -10 = -y - 2*k, y + 2*k - 10 = 5*k. Suppose y*r - 687 + 217 = 0. What is the remainder when 93 is divided by r?
46
Let d(f) = -6*f**3 - 25*f**2 - 47*f - 5. Calculate the remainder when d(-2) is divided by (-36)/(-8) + 1/(-2).
1
Let x(v) = 2*v**2 - 33*v + 55. Calculate the remainder when 148 is divided by x(16).
31
Suppose k + 5*r = 33, r - 2*r - 27 = -4*k. Suppose 5*u + k = 53. Calculate the remainder when -2*(-3)/2*5 is divided by u.
6
Let n = -56 - -94. Suppose 57 = 5*z + f - 5, -3*z = f - n. What is the remainder when (1 - -1)*-1 - -47 is divided by z?
9
Suppose 4*r - 160 = -2*s, -152 - 263 = -5*s - 5*r. Calculate the remainder when s is divided by 22.
20
Let w(j) = -j**3 + 8*j**2 + 15*j - 18. What is the remainder when 286 is divided by w(9)?
34
Suppose 0*q - 1 = -q. Let u(p) = 134*p + 1. Let y be u(q). Let t = -92 + y. What is the remainder when t is divided by 23?
20
Suppose -7*p + 605 + 375 = 0. Calculate the remainder when p is divided by 81.
59
What is the remainder when 0 - 6 - (8 - 147) - 0 is divided by 2?
1
Let k(v) = -v**2 - 20. Let n(y) = y**2 + 4*y. Let f be n(-4). Let x be k(f). Calculate the remainder when 42 is divided by 15/x*40/(-2).
12
Calculate the remainder when (-8)/(-3 - (-77)/28) is divided by 18.
14
Suppose f - o - 27 = 39, 2*o = f - 68. Let i = f - 19. What is the remainder when i is divided by 24?
21
What is the remainder when 1/4 - 249249/(-364) is divided by 99?
91
Suppose -7*w + 13*w - 396 = 0. What is the remainder when 203 is divided by w?
5
Suppose a + 2*a = 6, 3*a = x + 3. Let n = x - -27. Suppose j - n = -4*j. What is the remainder when 22 is divided by j?
4
Let y = 13 - 10. Let n = -15 - -23. Calculate the remainder when n is divided by y.
2
Suppose -2*t = 2*o - 40 - 26, 2*o - 2*t - 62 = 0. Let n(b) = b**2 + 2*b + 3. Calculate the remainder when o is divided by n(-4).
10
Let l be 4/(-12) - (-106)/3. Let c be (-10)/l - (-184)/7. Suppose -4*w + 62 = 2*b, 3*b = -0*w + w - c. Calculate the remainder when 32 is divided by w.
15
Let n(y) = y**3 + 5*y**2 - 2*y - 1. Suppose m = -4*o + 5 - 3, 4 = 2*m + 2*o. Suppose -3 = m*x - 49. Calculate the remainder when x is divided by n(-5).
5
Let i = -137 + 173. What is the remainder when i is divided by 27?
9
Let w(o) = -5*o - 11 + 3*o + 4*o. What is the remainder when w(10) is divided by (-297)/(-44) - 9/12?
3
Suppose 27*i = 763 + 263. What is the remainder when 81 is divided by i?
5
Let n = 40 + 237. Calculate the remainder when n is divided by 56.
53
Let q be (58/(-3))/(12/18). Let s = -7 - q. Suppose 0 = -3*l + 3 + 15. What is the remainder when s is divided by l?
4
Suppose -3*g + 20 - 14 = 0. Let y(t) = 3*t**2 + t. Calculate the remainder when 53 is divided by y(g).
11
Let f be 20 + -1 + 2 + 0/(-6). Suppose -112 = -7*w + f. Calculate the remainder when 35 is divided by w.
16
Suppose -9*k + 110 = -4*k. Calculate the remainder when -4*(120/144 - 795/36) is divided by k.
19
Let b be 82/(-8)*2*(-6)/3. Let l = 57 - b. What is the remainder when 78 is divided by l?
14
Let i(u) = 3*u + 1. Suppose -4*j = -w - 8 - 2, 4*w + 7 = 5*j. What is the remainder when 33 is divided by i(w)?
5
Suppose q + 1 - 22 = -4*w, 5*w = -3*q + 35. What is the remainder when 369 is divided by q?
4
Let d(z) = -22*z - 2. Let b be d(-1). Let k = b + -9. Calculate the remainder when 43 is divided by k.
10
What is the remainder when 971 is divided by 5 + 1 + 1 - (-111 - -10)?
107
Let w(d) be the first derivative of -2*d**2 - 32*d + 35. What is the remainder when 13 is divided by w(-11)?
1
Let f be 2*(0 - (-29 - 0)). Let b be f/(-5) + 2/(-5). Let v = b - -22. Calculate the remainder when v is divided by 7.
3
Calculate the remainder when (16/(-10))/(42/(-7035)) is divided by 9.
7
Let r = 0 + 17. Suppose -2*f + 5*f - 300 = 0. What is the remainder when f is divided by r?
15
Suppose 4*a + 342 = 10*a. What is the remainder when 263 is divided by a?
35
Suppose -5*v - 73 = -313. What is the remainder when v is divided by 23?
2
Let b be -2 - (-16 + (1 - 3)). Let u(i) = i**3 - 15*i**2 - 6*i + 25. What is the remainder when u(b) is divided by 47?
44
Suppose 0 = -10*x + 7*x + 9. Suppose 3*g - x*i = -i + 24, -4*i - 16 = -2*g. Calculate the remainder when 30 is divided by g.
6
Suppose -2 + 10 = 4*x. Suppose 2 - 3 = -p + g, g = x*p - 2. Calculate the remainder when 5 is divided by p.
0
Let z(b) = -6*b + 328. What is the remainder when 199 is divided by z(53)?
9
Let t = -314 - -321. Calculate the remainder when 1*(12 - 0 - 1) is divided by t.
4
Let t(r) = -7*r - 61. What is the remainder when 77 is divided by t(-12)?
8
Let s(j) = j**3 + 3*j**2 - j - 3. Let z be s(-3). Suppose i = 2, -4*r + z*r - 2*i + 8 = 0. Calculate the remainder when 72 is divided by r/((-2)/(50/(-1))).
22
Let a = 21 - 14. Suppose a*c - 221 = 2*c + t, 3*t + 213 = 5*c. Suppose -5*x - c = -3*m, -m + 0*m + 15 = -4*x. Calculate the remainder when m is divided by 9.
6
Let u(d) = 3*d + 15. Calculate the remainder when 0 - -4*(-5 + 63/4