e the remainder when y is divided by w(4).
17
Suppose 82*q - 1664 = 18*q. Calculate the remainder when 302 is divided by q.
16
Let r(g) = -g + 32. Let n be r(14). Let w(p) = p**2 - 17*p - 8. Calculate the remainder when w(n) is divided by 6.
4
Let p(r) = -4*r + 36. Calculate the remainder when 237 is divided by p(-6).
57
Let p(r) = -2*r - 5. Calculate the remainder when p(-34) is divided by 13.
11
Suppose 5*k = 4*k + 101. Let c = 60 + -59. Calculate the remainder when k is divided by -26*((-1)/c + 0).
23
Suppose 0 = -5*u - 0*u + 15. Suppose -5*p + u*c = 54, 4*c - 26 = 3*p + 13. Let n = 14 + p. What is the remainder when 12 is divided by n?
2
Calculate the remainder when ((-4074)/(-35))/(-5 - (-265)/50) is divided by 15.
13
Suppose 2*y - 4*y - 50 = 0. Let n = 9 + y. Let u = 22 + n. Calculate the remainder when 23 is divided by u.
5
What is the remainder when ((-56)/2)/((-25)/150) is divided by 63?
42
Suppose -16*q = -15*q - 173. Let n = -58 - -83. What is the remainder when q is divided by n?
23
Calculate the remainder when 69 is divided by (-1184)/(-84) + 4/(-42).
13
Suppose -543 = b - 850. What is the remainder when b is divided by 104?
99
Suppose -3*x + 125 + 136 = 3*n, 173 = 2*x + 3*n. Suppose v = -b + 33, 4*v - 24 = b + x. Let i = v - 19. Calculate the remainder when i is divided by 4.
2
Let i(u) = 7*u**3 - u**2 - u - 5. Let g(q) = q**3 - 1. Let d(s) = -6*g(s) + i(s). Let k be d(2). Calculate the remainder when 17 is divided by k*(-2)/3 + 8.
5
Calculate the remainder when (-5 - 18/(-3))*46 - 4 is divided by 23.
19
Suppose -x + 8 + 18 = 0. Suppose d + 2*y = -0*y + 73, 5*y = -4*d + 295. What is the remainder when d is divided by x?
23
Let r = -48 - -57. Calculate the remainder when 15 is divided by r.
6
Let z = 508 + 84. What is the remainder when 54 is divided by 3/(-5) + -3*z/(-60)?
25
Suppose 2*h - 12 + 10 = -r, 3*h + 3 = 0. Let u(y) = -y**3 - y**3 + 1 - y**2 + 13*y**3. What is the remainder when u(1) is divided by r?
3
Suppose 60*h - 5032 = 26*h. Calculate the remainder when 305 is divided by h.
9
Suppose 63 = 3*h - s, -8 = -h + 4*s + 2. Let g = h - 10. Calculate the remainder when 20 is divided by g.
8
Let j = 1505 - 1167. What is the remainder when j is divided by 27?
14
Let b = 10 + -10. Suppose 2*z - 149 = -4*y - 3*z, -4*y + z + 143 = b. Let a = 64 - y. Calculate the remainder when a is divided by 15.
13
Let o(x) = x**2 - 37*x - 239. What is the remainder when 176 is divided by o(43)?
5
Suppose -3*o = m - 55, -5*o + 0*o = -2*m + 110. Let c = -35 + m. Suppose 0 = 5*h - c - 5. Calculate the remainder when h is divided by 3.
2
Calculate the remainder when 15/(0 - -1) - -4 is divided by 4/(-14) + 195/21.
1
Let i(z) = -5*z**2 + 3*z + 6. Let r(p) = 6*p**2 - 4*p - 7. Let k(v) = -5*i(v) - 4*r(v). Suppose -20 = b + 4*b. What is the remainder when 18 is divided by k(b)?
8
Suppose 1209 = 52*y - 455. Suppose -4*z - 31 + 5 = -5*o, -2*z - 2 = 3*o. Let h = o + 7. Calculate the remainder when y is divided by h.
5
Let v(w) = 12*w + 66. Calculate the remainder when 2751 is divided by v(3).
99
Let n be ((-155)/(-20))/((-1)/(-4)). Let h = -29 + n. What is the remainder when h is divided by 1?
0
Suppose -7 = -2*a + 19. Let r(m) = 10*m**2 + 26*m - 43. What is the remainder when r(2) is divided by a?
10
Let z = -435 - -458. Calculate the remainder when 136 is divided by z.
21
Let m = -12 - -15. Let u(n) = m*n**2 + n**2 - n + 3 + 3*n. Calculate the remainder when 57 is divided by u(-2).
12
Suppose -5*n = -3*n - 54. Suppose n*a - 26*a - 45 = 0. What is the remainder when 176 is divided by a?
41
Let q = -4 + 14. Let f = -579 + 580. What is the remainder when -1 + f/1 + q is divided by 7?
3
Let k = -14 + 31. Let l(o) = 61*o**2 - 2*o - 1. Calculate the remainder when l(-1) is divided by k.
11
Let g be (5/(-10))/((-2)/8). What is the remainder when (1 + g)/((-5)/(-25)) is divided by 4/(-1) + 1 - -7?
3
Suppose 0 = -g + 3*m + 57, 3*m - 41 = -g + 10. Let j(t) = -t**3 + t**2 + 14. What is the remainder when g is divided by j(0)?
12
Let o = -74 - -306. What is the remainder when o is divided by 26?
24
Let k(s) = s + 2. Let b be k(6). What is the remainder when 92 is divided by 33 + (b/4 - 7)?
8
Let g(b) = -b**2 - 30*b + 12. What is the remainder when g(-18) is divided by 33?
30
Suppose -4*m - y = -69, -59 = -4*m - 3*y + 4*y. Suppose -5*w + 343 - 52 = -3*x, x = -w + 55. Calculate the remainder when w is divided by m.
9
What is the remainder when (-7 - -3)*935/(-20) is divided by 94?
93
Suppose -40 + 68 = 2*s. What is the remainder when (-5)/(-3 - s/(-5)) is divided by 9?
7
Suppose 5*o + 1 - 7 = 2*l, -12 = -4*o + 4*l. Let n = -122 - -137. What is the remainder when n is divided by -2 + (o + 1 - -9)?
7
Let o = 15 + -12. Suppose -v + 4*v = 4*k + 49, -o*v + 53 = -5*k. Suppose w - 3*q = -0*q - 9, -w + v = 2*q. What is the remainder when 10 is divided by w?
1
Let w = 216 - 55. What is the remainder when w is divided by 34?
25
Suppose -120 = -3*x + 5*y, -10*y + 7*y - 216 = -5*x. Calculate the remainder when 674 is divided by x.
44
Suppose 3*n + 5*s = -62, -3*s - 20 = 2*n + 21. Let a(j) = j. Let h be a(-5). Let c = h - n. Calculate the remainder when 39 is divided by c.
11
Let b be (-240)/25 - 4/10. Let c be (-1)/(-5) + (-38)/b. Suppose 3*a + o + 71 = 6*a, a = c*o + 42. What is the remainder when a is divided by 12?
10
Let q = -202 - -209. What is the remainder when 14 is divided by q?
0
Let m(p) be the third derivative of 0*p - 1/6*p**4 + 16/15*p**5 - 10*p**2 - 1/2*p**3 + 0. What is the remainder when m(-1) is divided by 22?
21
Suppose 0*t - 2 = -2*t + 3*u, -t - 5*u + 1 = 0. Let q(v) = 9*v**2 - 2*v + 2. Let y be q(t). Let m(z) = -z + 11. What is the remainder when 5 is divided by m(y)?
1
Let o(m) be the first derivative of m**4/4 + 5*m**3/3 + 5*m**2/2 + 6*m - 2. Let n be o(-5). What is the remainder when 65 is divided by (-51)/(-17) - (-1 + n)?
19
Let h = 129 + -125. Calculate the remainder when 6 is divided by h.
2
Let v(b) = 17*b + 161. What is the remainder when 372 is divided by v(-8)?
22
Let y = 429 + -405. What is the remainder when 113 is divided by y?
17
Suppose -2*l + 2*k + 82 = 3*l, 5*k = l - 21. What is the remainder when l is divided by 13?
3
Suppose 0 = -3*o + 41 + 49. Suppose 0 = 4*c + 5*l - 64, -6*l - 53 = -3*c - 11*l. What is the remainder when o is divided by c?
8
Suppose -5*j = -a - 742, -3*j - a + 440 = -2. What is the remainder when j is divided by 51?
46
Suppose 9*k = 963 - 225. What is the remainder when k is divided by 28?
26
Suppose -8 = -2*g + 62. Suppose 0 = -2*i + 2*w + 16, 3*i + i - 5*w - g = 0. What is the remainder when i is divided by 4?
1
Suppose 3*d - 4*d + 31 = -5*h, 2*d - 4*h - 68 = 0. What is the remainder when 285 is divided by d?
33
Suppose 0*d = -j - 3*d + 37, -129 = -3*j - 3*d. What is the remainder when 87 is divided by j?
41
Suppose -155*l + 1015 = -126*l. Suppose -a + 0*a + 187 = -5*p, -3*p - 697 = -4*a. Calculate the remainder when a is divided by l.
32
Suppose 117*k - 102*k - 15585 = 0. Calculate the remainder when k is divided by 104.
103
Suppose -6*h - 33 = -3*h. Let z = h - -9. Let f(o) = 15*o**2 - 1. What is the remainder when f(z) is divided by 20?
19
Suppose 2*s = -4, -2*t + 9 = -4*s + 1. Suppose -10 = -5*k - j, t = 3*j - 11 - 4. Let f = 50 + k. What is the remainder when f is divided by 18?
15
Suppose 0 = -2*o - 5*c + 4*c + 38, 0 = 5*o + c - 95. What is the remainder when 1287 is divided by o?
14
What is the remainder when (-11 + -1)/(-12) + (-2 - -17) is divided by 16?
0
Let m be -4*(2 - 3) - -2. Suppose 0 = -0*n + m*n - 18. What is the remainder when n*(-4 + 3 + 28) is divided by 28?
25
Let g = -19 + 23. Suppose 4*u + g*p - 1 = 71, -5*u = p - 94. What is the remainder when 35 is divided by u?
16
Let t(x) = 11*x**2 - 49*x + 1. Calculate the remainder when 182 is divided by t(5).
27
Suppose -3*q + 91 = 2*u, 0 = 3*u - 0*u - 4*q - 162. Suppose 0 = -4*m + 2*m + 22. Suppose 0 = k - 2 - m. What is the remainder when u is divided by k?
11
Suppose 7*l + 3*v - 12 = 4*l, -2 = 2*l - 3*v. What is the remainder when 41 is divided by l?
1
Let x(k) = 2*k**2 + 2*k - 3. Suppose 70 = -12*y + 238. What is the remainder when y is divided by x(-3)?
5
Let b = 46 - 11. What is the remainder when 243 is divided by b?
33
Suppose 41 = -4*g - 7