(2). Let u = s + -15. What is the remainder when 20 is divided by u?
6
Suppose -n + 0*n + 17 = 0. Suppose n*o = 12*o. Suppose o*y + 153 = 3*y. Calculate the remainder when y is divided by 11.
7
Suppose 20 = -5*j, 11 = -u - 5*j - 5. Let i = 10 - 22. Calculate the remainder when 31 is divided by (-102)/i - 1*(-2)/u.
4
Let o = -1052 - -1115. Suppose w + 4 = -1, -2*a - 4*w = 28. What is the remainder when o is divided by (-25)/(-2) + a/(-8)?
11
Suppose 254 = 4*w + 3*h, 74 = 108*w - 107*w - h. Calculate the remainder when w is divided by 7.
5
Suppose 5*w - 14*m + 17*m + 15 = 0, -w + 25 = -5*m. Suppose w*c + 22 = 2*c. Calculate the remainder when 31 is divided by c.
9
Let o(u) = u**3 + 7*u**2 - 2*u - 33. Let x be o(-6). Let a = 62 - x. Suppose 2*q + 4*s = 44, q = -q + 3*s + 9. Calculate the remainder when a is divided by q.
11
Suppose -322 = -4*h - 3*d, -3*h = 5*d - 340 + 104. Suppose -38 = -2*v - 5*z, -3*v - 3*z = -0*v - 84. What is the remainder when h is divided by v?
14
Calculate the remainder when 39 - (-1 - -41) - 35*-35 is divided by 15.
9
Suppose 36753 = p + 2*v, 2*p + 4*v - 73509 = -v. What is the remainder when p is divided by 14?
11
Suppose -3*m + 5*c + 391 = 0, 3*m - 536 = 4*c - 144. Calculate the remainder when m is divided by 42.
6
Suppose -60*u - 37*u + 10*u + 12876 = 0. Calculate the remainder when 865 is divided by u.
125
Let d(u) = 2*u**2 - 19*u - 37. Let x be d(11). What is the remainder when 118 is divided by (-96)/(-20)*2 + x/(-10)?
8
Suppose 0 = -8*c + 14 + 26. Suppose b = 2*m - 160, c*m - 407 = -b - 0*b. Calculate the remainder when 242 is divided by m.
80
Let p = -3917 + 3934. Let c(g) = -17*g - 4. Calculate the remainder when c(-3) is divided by p.
13
Let q be (-3)/((-1)/(6/1)). Let d = 21 - q. Suppose 2*l - 4*b - 56 = 0, 33 = d*l + 5*b - 84. Calculate the remainder when l is divided by 18.
16
Suppose -9*f + 29736 = -7*f + 6*f. Calculate the remainder when f is divided by 24.
21
Suppose -312 = 3*q - 15*q. Suppose n - 5*h = q, 4*n = h + 33 + 52. Suppose 269 = 5*f - 246. Calculate the remainder when f is divided by n.
19
Let b(m) = 21*m**2 - 307*m - 111. Calculate the remainder when b(18) is divided by 24.
15
Let n(x) = -2*x**2 - 92*x - 284. Calculate the remainder when n(-41) is divided by 8.
6
Let z = 25 + -10. Suppose -2*h - 34 = 2*w, -z + 62 = -3*w - 2*h. Let d(j) = -9*j + 2. What is the remainder when d(w) is divided by 15?
14
Let k = -9106 + 9136. Calculate the remainder when 169 is divided by k.
19
Let c(l) = 2*l**2 - 8*l - 11. Let v(z) = -z**2 + 10*z + 10. Let w be v(10). What is the remainder when c(-3) is divided by (-6 - 0)*w/(-3)?
11
Let w be ((-36)/(-5))/((-8)/(-20)). Suppose -15 = 3*m - 2*m. Calculate the remainder when 151 is divided by (w/m - -2)/((-8)/(-380)).
37
Suppose -1107 = 5*x + 12*a - 14*a, 0 = 4*x - 2*a + 884. Let h = x - -234. Calculate the remainder when 12 is divided by h.
1
Let a = -407 - -415. Let i(x) = 2*x**2 - 5*x - 4. Let s be i(-3). Let m = a + s. Calculate the remainder when m is divided by 13.
11
Let q be 8*(6 + (-459)/72). What is the remainder when 168 is divided by (-69 + -5)/(5/5 + q)?
20
Let v(c) = c**3 - 19*c**2 - 146*c - 73. Let i(g) = 4*g + 9. Let r(x) = x + 1. Let m(k) = -i(k) - 3*r(k). What is the remainder when m(-9) is divided by v(25)?
24
Let t(i) = i**3 - 9*i**2 + 31*i - 66. Let s be t(5). Let q = -4 + 16. Let d = q + s. What is the remainder when 5 is divided by d?
0
Suppose -s + 2 = a, -s - 6 = 3*s - 3*a. Suppose s = b - 18 + 11. Calculate the remainder when 19 is divided by b.
5
Let f(g) = 24*g - 141. Let h be f(6). Suppose 4*q + 2*c = 954, 0 = h*q - 2*c - 378 - 334. Calculate the remainder when q is divided by 11.
7
Suppose 5*f = -1308*h + 1310*h + 157, 0 = -5*f - 5*h + 150. What is the remainder when 106 is divided by f?
13
Suppose 9*f - 11*f - l = -106, -2*l - 118 = -2*f. Let o = 0 + 19. Let n = o + -5. Calculate the remainder when f is divided by n.
13
Suppose 160 = 38*c - 33*c. Calculate the remainder when (-222)/(32/8 + -7) is divided by c.
10
Suppose 3*d - 6258 = -4*r, 2406*d + 2100 = 2407*d - r. Calculate the remainder when d is divided by 20.
14
Let j be 60/21*245/14. Let v = j - 18. What is the remainder when v is divided by 30?
2
Suppose -k + 2*q - 44 = -3*k, -72 = -3*k - q. Suppose -2*d + 5*c - 56 = -255, -4*d = -2*c - 390. Calculate the remainder when d is divided by k.
22
Let q be (2082/15)/((-10)/(-25)) + 3. Suppose -q = -10*w + 120. Let o(c) = -c**2 + 7*c + 8. What is the remainder when w is divided by o(7)?
7
Suppose -4*p = -2*o + 102, -45 = -o + 3*p + p. Calculate the remainder when -2 - 0 - 98/21*-36 is divided by o.
52
Let a(x) = 2*x**2 + 10*x - 32. Let g be a(-8). Let i = g - 13. What is the remainder when 21 is divided by i?
0
Suppose 13*a - 15*a - 7398 = 0. Calculate the remainder when 3*1/12 - a/36 is divided by 53.
50
Let x = -2136 - -2359. What is the remainder when 460 is divided by x?
14
Suppose -9*a = -3*a - 1638. Suppose -1066 = -13*n - a. What is the remainder when 169 is divided by n?
47
Let n(p) = -13*p - 4. Let o = 90 - 91. What is the remainder when 16 is divided by n(o)?
7
Let c = -4837 + 5096. What is the remainder when c is divided by 77?
28
Suppose -50 + 155 = 3*p. Let c = -64 + p. Let r = c - -62. What is the remainder when r is divided by 18?
15
Suppose 2*o + 1400 = l, 0*o + 3*l = -o - 714. Let c = -610 - o. What is the remainder when 459 is divided by c?
91
Let l(u) = 24*u - 54. Let b be l(11). Let t = -203 + b. What is the remainder when 8 is divided by t?
1
Let j(t) = -t**2 + 92*t - 1287. Calculate the remainder when j(68) is divided by 100.
45
Let d = 2648 + -2630. What is the remainder when 70 is divided by d?
16
Suppose -30*n + 28864 = 14*n - 3*n. What is the remainder when n is divided by 73?
47
Suppose 0 = 13*l - 446 - 1309. What is the remainder when 45/l*540/2 is divided by 48?
42
Let m(f) = 2*f + 182. Let r be (-2)/9 - (-16)/72. Calculate the remainder when m(r) is divided by 37.
34
What is the remainder when 854 is divided by (36 + 2)/(-5 - -7)?
18
Suppose -7 = -5*d + 23, -2*d = r - 2579. What is the remainder when r is divided by 851?
14
Let g = -1391 + 940. Let o = g - -474. Let s(a) = -a + 11. What is the remainder when o is divided by s(6)?
3
Let r = 27456 - 26840. What is the remainder when r is divided by 20?
16
Suppose 6*u - 94*u = -7714 - 11910. Calculate the remainder when 2898 is divided by u.
222
Suppose 3*y = -5*r + 32, -8 + 4 = -4*r + 3*y. Suppose n + r*i = 3*n + 4, 5*i - 38 = -3*n. What is the remainder when 8 is divided by n?
2
Let y(t) = -t**2 - 15*t + 16. Let r be y(-16). Suppose 2*i - 2*s = r, 0*i = 4*i + 2*s - 18. What is the remainder when 13 is divided by (45/(-6))/(i/(-2))?
3
Let b be (-3)/(-9) - 80/(-48). Let o(j) = 31*j + 33. Calculate the remainder when o(b) is divided by 32.
31
Let o = 5056 - 3831. What is the remainder when o is divided by 14?
7
Suppose 17*r - 13*r = -16. Suppose 5*o = -3*j + 28, 2 = -5*j - 18. Let c = o - r. What is the remainder when 46 is divided by c?
10
Let y(x) = x**2 - 36*x + 22. Let i be 4/(-30)*-3 - 1281/(-35). What is the remainder when 99 is divided by y(i)?
40
Suppose 3*x + 5*r - 473 = 0, x - 205 = r - 50. What is the remainder when x is divided by 8?
4
Suppose 4247*v + 6995 = 4252*v. What is the remainder when 4197 is divided by v?
0
Let n(x) = x**3 + 5*x**2 + 4*x + 20. Let c be n(-5). Suppose -5*i = -h - 1693, -4*i - 2*h + c*h + 1360 = 0. What is the remainder when i is divided by 31?
29
Suppose -49*p = -51*p + 2*j + 50, 2*p - j = 46. Calculate the remainder when 4469 is divided by p.
17
Suppose 5*z + 9 - 51 = -4*a, 4 = -2*a. Calculate the remainder when ((-55)/(-25))/(-2 + 55/25) is divided by z.
1
Let q = 126 - 14. Suppose -8*o + 3*h = -3*o + q, 3*o + 5*h = -74. Let y = 49 + o. What is the remainder when 86 is divided by y?
8
Suppose s = -2*s + 60. Let k(j) = 22*j**3 + 152*j**2 - 16*j + 19. Calculate the remainder when k(-7) is divided by s.
13
Suppose -m = -3*k - 273 - 78, 4*m + 5*k - 1438 = 0. Suppose -9*t + 1776 = -m. Calculate the remainder when t is divided by 12.
9
Let y(i) = -i**3 + 14*i**2 - 26*i + 45. Let m be y(12). Suppose m - 13 = 8*u. What is the remainder when 8 is divided by u?
0
Calculate the remainder when 3937 is divided by 194*142/28 - ((-