ivided by 16.
6
Let z(l) = 51*l - 4. Let h(x) = 4539*x - 357. Let n(s) = -4*h(s) + 357*z(s). Calculate the remainder when n(1) is divided by 13.
12
Let l = 26 - 11. Let q = -9 + l. Let f(p) = p**3 + 5*p**2 + 6*p + 12. What is the remainder when q is divided by f(-4)?
2
Let l be (-8)/(-28) - 2812/(-7). Suppose 8*k = l + 334. Suppose 0 = 4*d - 75 - 21. What is the remainder when k is divided by d?
20
Let i(b) = -10*b - 48. Let q(v) = -v**3 + 7*v**2 + 3*v + 7. What is the remainder when i(-13) is divided by q(7)?
26
Suppose -4*x - 60 = -5*x. Suppose 2*q - x = 38. What is the remainder when q is divided by (2 + 0)/(5/65)?
23
Suppose 0 = v + 2*c - 38, -8*v = -9*v + 5*c + 3. Let j = -21 + 131. Calculate the remainder when j is divided by v.
26
Suppose 1 - 33 = -4*t. Suppose t*g - 10*g = -194. Calculate the remainder when g is divided by 20.
17
Let m = 234 + -187. What is the remainder when 140 is divided by m?
46
Let w be (1 - -2)*8/12. What is the remainder when 4 is divided by ((-12)/(-15))/(w/5 - 0)?
0
Let n(c) = 3*c - 3. Let t(z) = z**2 - 49*z + 302. Calculate the remainder when n(5) is divided by t(42).
4
Suppose 6 = 5*o - 9. Suppose 3*k + r - 219 = -2, -311 = -4*k + o*r. Calculate the remainder when k is divided by 38.
36
Calculate the remainder when (-360)/(-144) - 411/(-2) is divided by 48.
16
Suppose 16*v = 12*v + 80. What is the remainder when 93 is divided by 13 + v - (2 - (0 - -1))?
29
Suppose 4*u - 5*u = 4. Let o(l) be the third derivative of l**5/30 + l**4/4 + l**3/2 + 3*l**2. What is the remainder when 42 is divided by o(u)?
9
Let q = -14 + 1. What is the remainder when (13/q)/(1/(-46)) is divided by 25?
21
Let d = -3610 - -5063. Calculate the remainder when d is divided by 16.
13
Suppose 0 = 19*f - 18*f - 26. What is the remainder when 44 is divided by f?
18
Let m = -481 - -508. What is the remainder when 161 is divided by m?
26
Let l(r) be the first derivative of 11/2*r**2 - 4 - 22*r + 1/3*r**3. What is the remainder when l(-16) is divided by 15?
13
Let m(c) = c**2 + 24*c + 40. Calculate the remainder when 164 is divided by m(-23).
11
Suppose 5*q + 4*w = 3, 0 = -q - 0*q - w. Suppose 0*h - q*h + 93 = 0. What is the remainder when 61 is divided by h?
30
Suppose -5*x - 3*u - 510 = -2325, 0 = -4*u. Suppose 5*z + 78 = x. Calculate the remainder when z is divided by 22.
13
Let d = -157 + 175. What is the remainder when d is divided by 4?
2
Let d = -240 + 246. Calculate the remainder when 115 is divided by d.
1
Suppose l + 3*l = 0. Suppose -2*q - 2 = l, 0 = -4*k + 2*q - q + 21. Suppose -4*g = 4*r + 12, k*r + 3*g + 4 = -1. What is the remainder when 5 is divided by r?
1
Suppose -v = 4*x - 51, -63*x = -60*x + 5*v - 17. Calculate the remainder when 671 is divided by x.
13
Suppose 47 = 5*s + 202. Let z = -22 - s. Let n = 30 + -14. What is the remainder when n is divided by z?
7
Suppose g + 36 - 40 = 0. Suppose 524 = g*c - 0*b + b, b - 264 = -2*c. What is the remainder when c is divided by 22?
20
Let j = 172 + -45. What is the remainder when j is divided by (-19)/(1/(3 - 4))?
13
Suppose 35*w - 24 = 32*w. What is the remainder when 22 is divided by w?
6
Suppose 3*x - 2 + 34 = -5*o, 3*x = o - 8. Let u = 10 + o. What is the remainder when 14/(7 - 7/((-42)/(-36))) is divided by u?
2
Suppose -4*s + 28*o + 77 = 25*o, 4*s - 84 = -4*o. Suppose -3*i - i + 52 = 0. Calculate the remainder when s is divided by i.
7
Let y(x) = x**2 + 27*x - 143. Suppose 5*k = 3*z - 169, -5*k - 18 = 7. What is the remainder when y(-34) is divided by z?
47
Suppose 5*p = -0*o - o + 27, -3*p + 4*o = -7. Let k(b) = 3*b**2 - 66*b + 8. Calculate the remainder when k(22) is divided by p.
3
Suppose -26 = -7*c + 177. What is the remainder when 197 is divided by c?
23
Suppose -4*b = -5*n + 41, -38 = -4*n - 24*b + 22*b. Calculate the remainder when 181 is divided by n.
1
Suppose 0 = 8*s - 6*s + 3*g - 39, -4*s = -g - 113. Calculate the remainder when 131 is divided by s.
23
Suppose 0 = -r - 2*r + f + 901, 5*f + 893 = 3*r. Calculate the remainder when r is divided by 63.
49
Let i(z) = z**2 + 108*z - 531. Calculate the remainder when 52 is divided by i(5).
18
Let y(l) = -4*l**2 + 73*l - 58. Calculate the remainder when y(17) is divided by 16.
11
Let b(o) = 2*o**3 - 7*o**2 + o - 1. Let z be b(6). Suppose -10*i + z = -5*i. Let c = 58 - i. What is the remainder when c is divided by 8?
5
Suppose -4*z - 8 = -y, 19*y = 20*y + 2*z - 20. Calculate the remainder when 73 is divided by y.
9
Suppose 5*c - t - 1856 = 0, -t + 190 = 3*c - 930. What is the remainder when c is divided by 95?
87
Let y(b) = -92*b + 1. Let q be y(-1). Let h = -63 + q. Calculate the remainder when (10 + (-380)/(-50))/((-1)/(-5)) is divided by h.
28
Suppose 0 = 3*h - 4*r + 209, 2*h - 6*h = r + 304. Let a = 26 - h. What is the remainder when a is divided by 34?
33
Let n = 4 - -1. Let o = -1 + 3. Calculate the remainder when n is divided by o.
1
Suppose -69 = -3*n + 5*t - 25, -5*t + 94 = 3*n. Suppose 0 = 5*o + 4*a - 235, 101 = -o + 3*o + 3*a. What is the remainder when o is divided by n?
20
Let w = 307 - 165. Let n = w - 72. Suppose -15*y + 252 = -y. Calculate the remainder when n is divided by y.
16
Let s(u) = -u**2 - 15*u - 29. Let q be s(-8). Let x = 51 + q. Calculate the remainder when x is divided by 8.
6
Suppose 0 = -4*s + 5*l + 192 + 10, -58 = -s + 5*l. Suppose y - s = -y. What is the remainder when 94 is divided by y?
22
Let t be (-4)/(-8)*1*8. Suppose 2 = -h + t. Suppose h*m + 0 - 14 = 0. Calculate the remainder when 20 is divided by m.
6
Suppose -i = -o + 1, i - 5 = -2*o + 2*i. Suppose -o = -6*t + 4*t. Suppose 5*c + 2*u = 14 + 12, t*c - 23 = -5*u. What is the remainder when 7 is divided by c?
3
Let b be 2/(1 + 1) + 1. Suppose -54 = -2*n + b*p, 3*p = -n - 0*n + 47. What is the remainder when n is divided by 18?
14
Let d = -1116 + 1141. What is the remainder when 41 is divided by d?
16
Suppose -3*d + 4*o + 52 = 8*o, -d = o - 18. Calculate the remainder when d is divided by 13.
7
Calculate the remainder when 4 - (-28 - 2) - 2/(-2) is divided by (0 - -3) + 15 + (-7 - -7).
17
Let r = -127 - -149. What is the remainder when 151 is divided by r?
19
Let x = 25 - 17. Suppose 0 = 12*a - x*a - 244. Calculate the remainder when a is divided by 16.
13
Let t = -143 + 174. What is the remainder when 55 is divided by t?
24
Suppose 2*c - 2*n + n + 1345 = 0, 4*c - 3*n + 2687 = 0. Calculate the remainder when c/(-10) - 9/(-15) is divided by 10.
8
Let k = 142 - 49. Let h(j) = 4*j**3 + 29*j**2 - 30*j - 24. What is the remainder when k is divided by h(-8)?
21
Let a be (-6 - -7) + 1 + 4. Suppose -4*b + a*b = 6. Suppose 0 = f + b*f - 4*w - 24, -60 = -4*f - 5*w. What is the remainder when f is divided by 6?
4
Let n(y) = -y**2 + 50*y - 458. Calculate the remainder when n(35) is divided by 42.
25
Suppose v + 5*h = -0*v + 10, h = 1. Suppose -10 = -7*l + 2*l. Suppose -13 = -l*a + 11. Calculate the remainder when a is divided by v.
2
Let x(s) = s**2 + 26*s + 50. Let r be x(-24). Suppose -5*y + u = -2*y - 14, -r*u = y + 7. Calculate the remainder when y is divided by 1.
0
Let s = 304 + -283. Suppose h - 1 = 0, q + 5*h = 6*q - 195. What is the remainder when q is divided by s?
19
Suppose -281*y = -278*y - 306. Calculate the remainder when y is divided by 57.
45
Suppose 3*w = -0 - 3, -d + 3*w + 12 = 0. Let r(o) = -o**3 - 8*o**2 - 7*o + 5. What is the remainder when d is divided by r(-7)?
4
Suppose 9*v = 14*v - 60. Let i(d) = 3*d - 1. What is the remainder when v is divided by i(2)?
2
Let q(m) = -m**3 + 7*m**2 - 4*m - 5. Let w be q(4). Let s = -10 + w. Suppose 34*p - 2201 = 43. What is the remainder when p is divided by s?
15
Let s(d) = -52*d + 479. Calculate the remainder when s(5) is divided by 29.
16
Let f(k) be the second derivative of -k**4/12 - 3*k**3 - 26*k**2 + 14*k. What is the remainder when 167 is divided by f(-8)?
27
Suppose 11*c = 4*m + 6*c - 751, 4*c + 174 = m. Calculate the remainder when m is divided by 28.
26
Let m be 16 - 2 - (2 - 5). Let o = 0 + m. Calculate the remainder when 33 is divided by o.
16
Let u(j) = -j**2 - 2*j + 15. Calculate the remainder when 58 is divided by u(0).
13
Suppose m = -n + 8, -m + n + 3 + 5 = 0. Calculate the remainder when (-18 - (-1 + 0))/(-1) is divided by m.
1
Suppose -45 = -3*i + 3*p, 7*i + 3*p - 8