- 1) + (-29 - -35) is divided by 9.
5
Suppose 3*n + 53 + 120 = 5*c, -2*n + 4*c - 114 = 0. Let s = 105 + n. Calculate the remainder when s is divided by 23.
21
Suppose 0 = 3*o + 3*v - 54, -5*v + 25 = 3*o - 19. Let g(z) = -4*z**2 - 224*z + 7. What is the remainder when o is divided by g(-56)?
2
Suppose 18*o = 12556 + 21611 + 11841. Calculate the remainder when o is divided by 3.
0
Let v(t) = t**3 - 26*t**2 - 27*t + 1. Let x be v(27). Calculate the remainder when 156 + x/(-6)*0 is divided by 20.
16
Suppose -34*h = -38*h + 400. What is the remainder when 8597 is divided by h?
97
Suppose 0 = h + 2*j - 13, 6*j - 47 = -5*h + 2*j. Let f = -4 - -6. Suppose 27 + h = f*t. Calculate the remainder when t is divided by 9.
8
Let s = 6186 + 9099. Calculate the remainder when s is divided by 14.
11
Let k(q) = q**3 - 9*q**2 - 8*q + 17. Let u be k(7). Let y = u + 140. Calculate the remainder when 17 is divided by y.
2
Suppose -6*z - 1014 = -58*z + 2678. Suppose -4*p = -l - 555, -2*p = 3*p + 3*l - 698. Calculate the remainder when p is divided by z.
68
Suppose 4*d = -10*k + 11*k - 20, -2*d = -4*k + 136. Calculate the remainder when 57 is divided by k.
21
Let c be 5*((-5 - -2) + 0). Calculate the remainder when (140/c)/(6/(-63)) is divided by 21.
14
What is the remainder when 101 is divided by 3/(6/136) - (-20 - -15)?
28
Let w = 134 + -142. Let m(v) = -3*v + 31. Calculate the remainder when m(w) is divided by 31/2 + (-3)/6.
10
Let s(o) = 25*o - 28. Let w(p) = 26*p - 29. Let f(g) = 4*s(g) - 3*w(g). What is the remainder when 122 is divided by f(4)?
59
Let z(s) = -34*s + 851. Calculate the remainder when 661 is divided by z(24).
31
Suppose -14*d - 2 + 1980 = -682. Calculate the remainder when d is divided by 85.
20
Suppose -3*a + 5*n = -6*n - 94, 0 = -n + 4. Calculate the remainder when 159 is divided by a.
21
Let o(d) = -d**3 - 10*d**2 - 6*d - 13. Let p be o(-10). Let x = 46 - p. Calculate the remainder when (17 - x) + (-1)/(3 + -2) is divided by 7.
3
Suppose 362*w - 431*w = -4623. What is the remainder when 588 is divided by w?
52
Suppose 3*k - 5*t - 200 = 0, -4*t - 91 = -3*k + 111. Calculate the remainder when 2024 is divided by k.
64
Let d be (81/(-4) - 3)*(-40)/6. Let t = -140 + d. Calculate the remainder when 25 is divided by t.
10
Suppose 0 = -3*j + 3, -2*y + 5*j + 90 = 3*y. Let z(f) = -f**2 + 5*f - 3. Let h be z(4). What is the remainder when (440/(-4))/(h*-1) is divided by y?
15
Suppose -147 = 7*h - 4*h. Let o = h - -49. Suppose 5*a = 6*q - 2*q - 1, 3*q - 4*a = o. Calculate the remainder when 13 is divided by q.
1
Let w = -14912 - -15018. Calculate the remainder when 240 is divided by w.
28
Let f = 122723 - 122702. Suppose 0 = -t + 5*t - 24. Calculate the remainder when f is divided by t.
3
Let o(j) = -j**2 - 6*j + 2. Let x be (-2)/3 + 48/(-9). What is the remainder when (-32 - -31) + (-1)/(-1 - (5 - 282/48)) is divided by o(x)?
1
Suppose 0 = -11*h + 12*h. Suppose -4*m + 6 = 3*x - 179, h = -x - 1. Calculate the remainder when 140 is divided by m.
46
Let s be (-51)/4 - (-2)/(-8). Let d be -9*((-3)/9 - (1 + 3)). Let a = d + s. Calculate the remainder when 76 is divided by a.
24
Let b = -25546 + 25564. Let w be (-6 + -4)/((-2)/(-20)). Let j = w - -169. Calculate the remainder when j is divided by b.
15
Let q be ((-1)/5)/(17/(-5695)). Suppose 2*m + 5*t = q, 18*m - 2*t = 21*m - 117. Calculate the remainder when m is divided by 4*(-9)/21*-7.
5
Let g = 116 - 91. Calculate the remainder when -1 - -5 - (3 - 455/13) is divided by g.
11
Let g(z) = 40*z**3 - z**2. Let q be (31/4)/(4/16). Suppose -25*a = -531 + q. What is the remainder when g(1) is divided by a?
19
Let s(y) = -y**2 + 2*y + 13. Let j be s(-2). Suppose j*t = 4*h - 148, 2*t = -h + 51 - 14. What is the remainder when 184 is divided by h?
36
Suppose 0 = f - 0*h - 4*h - 874, 4*h - 24 = 0. What is the remainder when f is divided by 36?
34
Suppose -4311*d - 6588 = -4347*d. What is the remainder when 357 is divided by d?
174
Let c(n) = -n**3 + 11*n**2 - 10*n. Let k be c(10). Let z(b) = 46 - 2*b - 192*b**3 + 326*b**3 - 135*b**3. What is the remainder when z(k) is divided by 12?
10
What is the remainder when 5336 is divided by -5332*10/(-600) + (-4 - 62/(-15))?
85
Suppose j + 4*a = 19, 4*j - 4 = -5*a + 17. Let f be 0/(j + -1 + 1). Suppose 5*m = -8 - 17, -4*n - m + 199 = f. Calculate the remainder when n is divided by 19.
13
Suppose -3*j + 2*i = -3*i - 15, -4*i = j - 5. Suppose -27*p + 26*p + j = 0. Calculate the remainder when 29 is divided by p.
4
Let x(a) = -3*a + 20. Let n(w) = -4*w**2 - 110*w + 23. Calculate the remainder when n(-27) is divided by x(-3).
19
Let z(s) = 15*s**2 + 11*s + 33. Let r be z(-4). Suppose r + 191 = 21*j. What is the remainder when 20 is divided by j?
0
Let k = 2 - -1. Let h = -176 - -168. Calculate the remainder when (h*(-1)/10)/((-2)/(-20)) is divided by k.
2
Suppose -11*t + 898 = 3*y - 9*t, -5*y - 3*t = -1497. Calculate the remainder when y is divided by 8.
4
Suppose 0 = 5*t - c + 3, -3*t - 4*c - 8 - 3 = 0. Calculate the remainder when (-84)/t + -26 + 27 is divided by 10.
5
Suppose -16*j = -4182 - 5738. Calculate the remainder when j is divided by 63.
53
Suppose 0*o = -4*o + 20, -4*h + 3*o = -449. Suppose 38*f - 42*f = -h. Calculate the remainder when ((-255)/6)/((-2)/4) is divided by f.
27
What is the remainder when 2556 is divided by 2/(-11) + 1274/147*(-69)/(-22)?
18
Suppose -3*s + 2*n - 39 = -0*n, -s + 2*n - 9 = 0. Let q = -30 - s. Calculate the remainder when 39 is divided by q*(1 - 36/20).
3
Let p(t) = t**3 + 4*t**2 + 6*t + 39. Let r be (-2 - -1)/((-12)/(-36)) + -1. Calculate the remainder when 47 is divided by p(r).
2
Let l(u) = 4*u**3 + 3*u**2 - 10*u - 30. Let c be l(-8). Calculate the remainder when ((-42)/49)/(18/c) is divided by 52.
34
Let w be (1 + -1)/((-8 - -12)/(-2)). Suppose 4*h + 81 = b, w = 5*b + 3*h - 0*h - 336. What is the remainder when b is divided by 8?
5
Let k(j) = 2*j + 4. Let z = 322 - 163. What is the remainder when z is divided by k(2)?
7
Suppose 0*r + 3*b = -r + 17, 5*r - 35 = -5*b. Let w(l) = 58*l**2 + 3*l - 6. Calculate the remainder when w(r) is divided by 24.
16
Let d = -2260 - -2363. What is the remainder when 219 is divided by d?
13
Suppose -11*o + 43*o + 4446 = 89*o. What is the remainder when 21215 is divided by o?
77
Suppose -4*u = -13*u + 243. Calculate the remainder when u is divided by 2/6*(47 + -5).
13
Suppose 1203*z = 1210*z - 966. What is the remainder when 412 is divided by z?
136
Suppose -9*s + 222 = -5*s - c, -4*s + 228 = 2*c. Suppose -68*u = -76*u + s. What is the remainder when 71 is divided by u?
1
Let b = -2919 + 4709. What is the remainder when b is divided by 16?
14
Let b(k) = -k**3 + 4*k**2 + 8*k - 25. Let d be b(3). Suppose -502 = -d*g + 26. Calculate the remainder when 329 is divided by g.
65
Suppose -20*s = -2348 - 14352. Calculate the remainder when s is divided by 44.
43
Suppose -41*k + 101924 = 125*k. What is the remainder when k is divided by 84?
26
Let f = -45 - -59. Let j = f + -82. Let c = j - -175. What is the remainder when c is divided by 12?
11
What is the remainder when 78045/220 - (21/(-56))/((-2)/4) is divided by 98?
60
Let g = 31 + -28. Suppose 0 = g*j - j - 6. Suppose -3*t = -5*f - 32, j*t - 30 = 3*f - 0*f. What is the remainder when 23 is divided by t?
5
Let n(p) = p**3 + 14*p**2 - 2*p - 27. Let f be n(-14). What is the remainder when 61 is divided by (f/2)/((-38)/(-1444))?
4
Let d be 4/8*(296/4)/1. Calculate the remainder when 299 is divided by (-15)/20*(-3 - d).
29
Let w(t) = 192*t - 1727. What is the remainder when 356 is divided by w(9)?
0
Let x = 7095 + -6984. Calculate the remainder when 2219 is divided by x.
110
Suppose 280 = -9*l + 838. Let g = 69 - l. What is the remainder when 14 is divided by g?
0
Let c(x) = -x**3 - 11*x**2 - 12*x - 16. Let r be c(-10). Suppose -9 = r*f - 65. What is the remainder when 110 is divided by f?
12
Let s(p) = -2*p**2 + 57*p - 276. What is the remainder when 371 is divided by s(19)?
31
Suppose -4*w = 24, 27*w - 28*w = 5*c - 609. What is the remainder when 308 is divided by c?
62
Suppose 5*z - k - 352 = -114, -k + 154 = 3*z. Suppose 4*q + 64 = 2*c, -86 = -3*c - 0*q + q. What is the remainder when z is divided by c?
21
Suppose -4*u - 4430 = -26*p + 21*p, 5*p - 5*u - 4425 