- 4*a, 4*m - 4*a = 24. Suppose -y + v = -m. What is the remainder when y is divided by 10?
7
Let s be -3 - (0 - (-12)/(-4)). Let a be (-332)/(-6)*12/8 - s. Let y = -72 + a. Calculate the remainder when 43 is divided by y.
10
Let i(x) = x + 10. Suppose -6*z + 26 + 70 = 0. Calculate the remainder when (-9 + (-261)/(-36))/((-2)/z) is divided by i(0).
4
Let a(q) = -13*q**2 + 46*q - 10. Let c(h) = 4*h**2 + 3*h + 4. What is the remainder when c(-3) is divided by a(3)?
9
Suppose 17*g = 2*g + 75. Suppose -8*z - 5*b + 119 = -4*z, -2*b = g*z - 170. Let h = z - 19. What is the remainder when h is divided by 7?
3
Suppose -86 = 4*d - 146. What is the remainder when (d - 7) + -5 + 156 is divided by 8?
7
Suppose 68*u + 183*u = -12*u + 38924. What is the remainder when 322 is divided by u?
26
What is the remainder when (5 + -8)/(2/(-268)) is divided by 32?
18
Suppose -30*r + 26*r + 1316 = 0. Suppose -4*s + 7 + r = 0. Let v = -35 + s. Calculate the remainder when v is divided by 10.
9
Suppose -15*u + u = -1036. Suppose 38 = g - 74. Calculate the remainder when u is divided by (-4)/(-3) + g/6.
14
Let x = 707 - 496. Suppose 0 = -6*n + 137 + x. Calculate the remainder when n is divided by 7.
2
Suppose 2*s + 0*s - a - 22 = 0, 3*s - 3*a = 27. Calculate the remainder when (-2)/3 + (-8 - (-1210)/6) is divided by s.
11
Suppose -5*s - 3 = -8*s. Suppose 3*n + 7 = 5*u + 20, 3*u = 4*n + s. Calculate the remainder when (14/6)/(u/(-45)) is divided by 3.
0
Suppose j = 2*d + 12, 157*d + 1 = 158*d. What is the remainder when 655 is divided by j?
11
Suppose -631 = -2*r + d, -5*r + 260*d + 1555 = 265*d. What is the remainder when r is divided by 272?
42
Suppose 0 = -8*d - 8*d + 5*d. Calculate the remainder when 75 is divided by (81 + -85)*((-1 - 4) + d).
15
Let n = -48 + 50. Suppose -n*h = -w + 2*w - 149, 3*w = 4*h + 467. What is the remainder when w is divided by 26?
23
Let b = -121 - -68. Let a = -50 - b. Suppose 42 = t + 3*x, 197 = 4*t + a*x + 20. Calculate the remainder when t is divided by 12.
9
Suppose -1660 + 841 - 1176 = -19*n. What is the remainder when n is divided by 80?
25
Let g = -236 + 233. What is the remainder when 282 is divided by (-226)/g - (-1)/(-3) - 4?
69
Let r(f) = 2*f**2 + 141*f - 549. Calculate the remainder when 6814 is divided by r(4).
46
Let w(r) = -15*r - 171. Suppose -28 - 128 = 13*f. Calculate the remainder when 85 is divided by w(f).
4
Suppose -2*o = 3*b + 611, -2*o + 1517 = -7*o - 4*b. Let z = -123 - o. What is the remainder when z is divided by 45?
43
Let k = 10376 + -10166. What is the remainder when k is divided by 44?
34
Suppose 5*w + 18*y = 14*y + 430, -4*y - 144 = -2*w. What is the remainder when w is divided by 38?
6
Let h(q) = -2*q**2 - 31*q - 14. Let l be h(-19). Let v = l - -159. Calculate the remainder when 55 is divided by v.
7
Let w(o) = 22*o**2 - 264*o - 1548. What is the remainder when w(-6) is divided by 20?
8
What is the remainder when (167 + 14)*(-12 - -55) is divided by 14?
13
Suppose i + 1633*z - 208 = 1634*z, 5*i = 4*z + 1040. What is the remainder when 817 is divided by i?
193
Let n = -15357 + 16227. What is the remainder when 2632 is divided by n?
22
Let i = 1843 - 1790. Let r = -4 - -4. Suppose -4*u + t + 39 = r, -t = u + 2*t. What is the remainder when i is divided by u?
8
Suppose -10*x = -21*x + 77. Let v(t) = -2*t**2 + 14*t + 7. What is the remainder when 60 is divided by v(x)?
4
Let g = -621 - -645. What is the remainder when 80 is divided by g?
8
Suppose -5*o = -3*h + 57 + 104, -4*h - 14*o = 54. Let n(u) = -u**3 - u**2 + 4*u - 4. What is the remainder when n(-5) is divided by h?
12
Let f be (0 - (-1 + 3)) + -24. Let m = 35 - f. Suppose 132*u + 337400 = 777*u + 755*u. Calculate the remainder when u is divided by m.
58
Let a be 100/3 - 172/129. Suppose 4*h + 72 = 4*s, 5*s = 5*h + s + 92. Let c = a + h. Calculate the remainder when 57 is divided by c.
9
Suppose 275 = u + 3*r + 153, u + 5*r - 112 = 0. What is the remainder when 881 is divided by u?
59
Let v(y) = 38*y**2 - 1111*y - 4445. Calculate the remainder when 1831 is divided by v(-4).
10
Let m be (9/(-3) + 6)*-21. What is the remainder when 4/(-16)*-12 - m is divided by 37?
29
Suppose x - 277 - 1737 = -3*f, 4*x - 3*f = 8101. What is the remainder when 4047 is divided by x?
1
Suppose 4*o - 362 = -2*w, 5*w + 1 = -o + 105. What is the remainder when 179 is divided by o?
1
Let z = -7309 + 7330. What is the remainder when 2393 is divided by z?
20
Let z(a) = -101*a**3 - 2*a**2 + 6*a + 10. Calculate the remainder when 2875 is divided by z(-1).
94
Let g = -3640 - -4881. What is the remainder when g is divided by 208?
201
Suppose 423 = 6*k - 5*f, 5*f + 603 = k + 445. Let c = 1 - 1. Suppose -2*g + 19 + 35 = c. What is the remainder when k is divided by g?
26
Let j(w) = 2*w**2 + 16*w + 6. Let v be j(-7). Let r = v - -11. Suppose -3*i + 78 + 24 = r*n, -97 = -3*n - 4*i. What is the remainder when n is divided by 10?
9
Let x(z) = -z - 7. Let f be x(-5). Suppose 0 = -18*n + 14*n - p + 37, 0 = 5*n + 4*p - 38. What is the remainder when (f + 16)/(2/7) is divided by n?
9
Let y be ((8 + -8)/(-4))/2. Calculate the remainder when 76 is divided by (-2 - -38) + (-1 - (-6 - y)).
35
What is the remainder when 1987 is divided by (-42)/8*(-32)/6?
27
Let p = 48201 + -45887. Calculate the remainder when p is divided by 18.
10
Let i(x) = 15*x + 109. Calculate the remainder when i(16) is divided by 10.
9
Suppose 2*r - 17*r + 6*r + 63 = 0. Suppose 5*z = -4*l - 56 + 400, 63 = z - 5*l. What is the remainder when z is divided by r?
5
Let n = 114952 + -114909. What is the remainder when 1*2/(-2) + 109 is divided by n?
22
Suppose h + 29 = 3*v - 14, -4*h - 55 = -3*v. Suppose 161 = v*z - 450. What is the remainder when 179 is divided by z?
38
Suppose -251*v - 49*v - 244*v = -23392. Suppose 5*f - 4 = -5*s + 56, 61 = 5*s + 4*f. What is the remainder when v is divided by s?
4
Suppose -7*o = -1 - 41. What is the remainder when 113 - o/(-9)*3 is divided by (23 - -12) + 1 + 6/2?
37
Suppose 0 = 13*q - 2388 + 2128. Suppose -3*y = -2*j - 71, -20 = -2*y - 2*j + 44. What is the remainder when y is divided by q?
7
Let y be (-6)/8 - 1989/36. Let d = y + 92. Suppose 24*t - 70 = 19*t. What is the remainder when d is divided by t?
8
Suppose -5*h + 64*w - 63*w = -67, 0 = -4*h + w + 53. Calculate the remainder when 48 is divided by h.
6
Let b = 196 + -192. Suppose -5*k = -p - 57, -b*k + 2*p - 3*p + 42 = 0. Calculate the remainder when 84 is divided by k.
7
Suppose 0 = -11*g + 441 + 428. What is the remainder when 538 is divided by g?
64
Suppose -2*k - 17 = -y, y + 4*k + 6 - 17 = 0. Calculate the remainder when 6400 is divided by y.
10
Suppose 3*s = 8*q + 121, -8*s + q + 200 = -4*s. Calculate the remainder when 942 is divided by s.
24
Suppose -9*j + 2516 = 25*j. Calculate the remainder when j is divided by (-2 - 75/(-9))/((-4)/(-12)).
17
Let l(u) = 3*u**3 - 71*u**2 + 48*u - 38. Calculate the remainder when 1191 is divided by l(23).
7
Let b(t) = -5*t + 23. Let d(q) = 23*q - 91. Let m(w) = -9*b(w) - 2*d(w). Calculate the remainder when m(-48) is divided by 10.
3
Suppose 0*t - 139 = -3*a + t, -4*t = a - 55. Let x(q) = q**2 + q + 8*q + q - 16 - q. Calculate the remainder when a is divided by x(-11).
5
Let p = 8 + -2. Let x = -21817 + 22021. What is the remainder when 100 is divided by ((-3)/p)/((-6)/x)?
15
Suppose 2*z - 27 = 159. Let i = -30 + z. Calculate the remainder when i is divided by 5.
3
Let s be (18*(-10 - -3))/(-1). Let b = -88 + s. Suppose 10*f = 112 + 88. Calculate the remainder when b is divided by f.
18
Let s = 174 + 36. Suppose -2*v - 4 = -s. Suppose 0*l - l = 4*p - v, 5*p = -5*l + 110. What is the remainder when 53 is divided by p?
26
Let n be 9/(-4)*(-48)/(-9). Let k(d) = d**2 + 11*d + 4. Let w be k(n). Suppose 0 = 4*o - 2*g - 15 - 1, 4*g = w. Calculate the remainder when 9 is divided by o.
3
Let u(j) = -88*j - 50. Let r(l) = 164*l + 98. Let x(s) = -6*r(s) - 11*u(s). Let d = 9 + -15. What is the remainder when x(d) is divided by 21?
16
Suppose 8 = o - 3*k, 0 = -4*o + 5*k + 2 + 2. Let t(x) = -x**2 + 14*x + 237. Calculate the remainder when t(20) is divided by ((-15)/o)/((-1)/(-8)).
27
Suppose -l = -10 + 97. Let p = l - -46. Let k = p + 77. What is the remainder when k is divided by 19?
17
Let q = 148 - 80.