 29. What is the remainder when 51 is divided by w(18)?
7
Let u(c) = c**3 - 9*c**2 - 12*c + 30. Calculate the remainder when 96 is divided by u(10).
6
Let n(m) = 5*m**2 - 31*m - 16. Calculate the remainder when n(9) is divided by 38.
34
Let y(z) = z**2 + z - 27. Let p be y(0). Let r be p/(-5) - (-28)/(-70). Let n = 22 + r. What is the remainder when n is divided by 7?
6
Suppose 5*y - z = 41, -3 + 39 = 5*y + 4*z. Calculate the remainder when 38 is divided by y.
6
Let y(l) = -2*l**3 + 16*l**2 + 12. Let c(q) = 3*q**3 - 15*q**2 - 13. Let r(z) = 3*c(z) + 4*y(z). What is the remainder when r(-19) is divided by 5?
4
Suppose 19*f - 31*f + 828 = 0. Suppose -4*k + 3*k = -35. What is the remainder when f is divided by k?
34
Suppose -2*h - 11 + 57 = 0. Calculate the remainder when ((-704)/66)/((-4)/30) is divided by h.
11
Let l be ((-225)/(-20))/(9/24). Suppose 6*m = 3*m + l. What is the remainder when 48 is divided by m?
8
Suppose 8*x - 108 = 11*x. Let d = 51 + x. What is the remainder when 19 is divided by (d/6)/((-3)/(-6))?
4
Let w(n) = 45*n - 92. Calculate the remainder when w(6) is divided by 61.
56
Suppose 5*y + 0*y - 59 = -k, -3*k + 4*y = -215. Calculate the remainder when k is divided by 6.
3
Suppose 0 = b - 3*w - 15, -b - 5*w - 20 = -w. Let l(y) = -y + 9 + b + 0 - y**2 + 10*y. Calculate the remainder when l(8) is divided by 10.
7
Let p(t) = -2*t - t - 1 + t - 20*t**3. What is the remainder when 40 is divided by p(-1)?
19
Suppose 210 = 4*f + 3*r, -106 = -2*f - 13*r + 12*r. Calculate the remainder when f is divided by 5.
4
Suppose 0 = 3*o - 4*k + 3*k - 166, 2*k + 2 = 0. Let t = -24 + o. Let q(l) = -9*l - 9. What is the remainder when q(-11) is divided by t?
28
What is the remainder when 41 is divided by ((-154)/(-35))/((-3)/(-15))?
19
Let d(j) = 28*j - 12. Let m(u) = u. Let r(t) = d(t) - 10*m(t). Let z be r(11). Suppose 2*h - 5*h = -z. What is the remainder when h is divided by 21?
20
Let g(p) = -p + 4. Let q be g(2). Suppose 2 - 14 = -2*t - b, 4 = q*b. Suppose t*m - m = 136. What is the remainder when m is divided by 9?
7
Let p(x) = 4 + 2*x - 41 + 2*x - x. What is the remainder when 12 is divided by p(15)?
4
What is the remainder when (-9)/(-15)*500/5 is divided by 15?
0
Let f(m) = -30*m - 8. Let l be f(-6). Let v = l + -122. What is the remainder when v is divided by 26?
24
Let j(l) = -l**3 - 3*l**2 - 3*l - 3. Suppose -4*g + 127 = -f, -46 = -2*f - 36. Calculate the remainder when g is divided by j(-3).
3
Suppose 0 = -11*m - m - 60. Let k(t) = -26*t - 38. What is the remainder when k(m) is divided by 19?
16
Let l = -2 + -12. Let g(p) = 30*p**3 + p - 1. Let k be g(1). Let m = l + k. What is the remainder when m is divided by 9?
7
Let o(q) = -3*q + 9. Suppose 5*n = 6 - 66. Calculate the remainder when o(n) is divided by 8.
5
Let m = 26 + -38. Let q = m + 26. Let h = 3758 + -3749. Calculate the remainder when q is divided by h.
5
Let s = 22 - 31. What is the remainder when (-678)/s*6/4 is divided by 5/((-5)/3) + 32?
26
Let j(z) = z**3 + 9*z**2 - 2*z + 1. What is the remainder when -5 - ((-427)/7 - 5) is divided by j(-9)?
4
Suppose 0 = -1026*z + 1035*z - 468. What is the remainder when 517 is divided by z?
49
Let v be 2/1 + 0 - (-17 - 65). Let w = 120 - v. What is the remainder when 178 is divided by w?
34
Let z = -43 + 51. Suppose 0 = -2*i - 3*i + 2*s + 140, 4*s = -5*i + 170. Calculate the remainder when i is divided by z.
6
Let c(y) = 3*y**2 - 37*y - 62. What is the remainder when 910 is divided by c(14)?
6
Let k(y) be the third derivative of y**6/120 - y**5/30 + y**4/12 + 16*y**2. What is the remainder when k(4) is divided by 14?
12
What is the remainder when 88 is divided by (-184)/552 - (-28)/3?
7
Let d = 188 + -101. What is the remainder when d is divided by 10?
7
Suppose 0*a = a - 65. Let v be (-6)/4 - (-10)/4*5. Suppose 2*h = v + 23. Calculate the remainder when a is divided by h.
14
Let f = 1020 - 988. What is the remainder when f is divided by 20?
12
Let q be ((-14)/3)/((-4)/30). Let j = q - 7. Calculate the remainder when j is divided by (2 - 22)*(-2)/4.
8
Suppose 5*h - 2 = 3*v, -v = -2*v - 4*h + 22. Let r(n) = 4*n - 9. Suppose -8*f = -39 + 7. What is the remainder when r(v) is divided by f?
3
Suppose b + b = 14. What is the remainder when ((-15)/(-9))/(6/(-18)) + 24 is divided by b?
5
Let k(y) = -2*y**2 + 43*y - 11. Calculate the remainder when 96 is divided by k(21).
6
Suppose -3*q = -3*x + 6, 3*q = -q - 8. Suppose x = -a + 7 + 36. What is the remainder when a is divided by 11?
10
Let m be (-1)/10 - 24888/(-80). Let y be (24/10)/((-3)/(-10)). Suppose -m = -y*r + 529. Calculate the remainder when r is divided by 27.
24
Suppose -2*n = 4*y - 662, 4*n - 3*y = -5*y + 1324. Calculate the remainder when n is divided by 67.
63
Suppose -7921 = -8*v + 2247. What is the remainder when v is divided by 19?
17
Let z(r) = -r + 22. Let x be (-12 + -3)*2/(-6). Let d = x - -7. What is the remainder when z(0) is divided by d?
10
Let f = -1252 + 1299. Calculate the remainder when f is divided by 27.
20
Let c(l) be the second derivative of l**4/12 + 8*l**3/3 - 21*l. Calculate the remainder when c(-20) is divided by 21.
17
Let v = 42 + -25. Let d = 2 + -2. Suppose 3*q - 2*q - 49 = d. Calculate the remainder when q is divided by v.
15
Suppose 13*w - 56 = 11*w. Let h(q) = 139*q**3. What is the remainder when h(1) is divided by w?
27
Suppose 0 = 8*n - 2*n - 1260. Suppose -j + 17 = 4*i - 13, -5*j + n = 5*i. Calculate the remainder when j is divided by 24.
22
Suppose -5*o = 5*g - 6 - 9, 2*g = -4*o + 12. Let u(q) = -6*q - q**3 + 1 - 5 - 6 + 2*q**o - 8*q**2. What is the remainder when u(9) is divided by 5?
2
Let r = 447 + -380. Calculate the remainder when r is divided by 14.
11
Let w = -187 + 231. What is the remainder when 350 is divided by w?
42
Calculate the remainder when 236 is divided by 10 - ((-108)/26 + 34/221).
12
Let r = 188 + -102. Let j(i) = i**3 + 9*i**2 + 12*i + 19. Let f be j(-8). Calculate the remainder when r is divided by (f - -2)/((-4)/16*2).
20
Suppose -2*p - 92 = 90. Let o = -70 - p. Calculate the remainder when o is divided by 6.
3
Suppose -58 = -5*y - 4*i, 4*y + 4*i - 5*i = 38. What is the remainder when 36 is divided by y?
6
What is the remainder when ((10/4)/(-5))/((-13)/1794) is divided by 25*1 + (-2)/2?
21
Let t = -44 + 52. Let y(w) = -w**3 + 10*w**2 - 10*w - 8. Calculate the remainder when y(t) is divided by 11.
7
Let m = 119 - 119. Suppose m*k - 3*k - 84 = -3*l, -5*l + 172 = 3*k. Calculate the remainder when 2/(-8) + (-498)/(-8) is divided by l.
30
Let x(o) = 2*o**2 - 18*o + 98. Calculate the remainder when x(7) is divided by 38.
32
Let n(k) = 54*k - 81. Calculate the remainder when n(7) is divided by 15.
12
Suppose -5*w + w = -4. Suppose 13*r + r = 14. What is the remainder when w is divided by r?
0
Let r(v) = 155*v**2 - 3*v + 3. Let x be r(1). Suppose 4*g + g - x = 0. Let s = 29 + -18. Calculate the remainder when g is divided by s.
9
Let y = 39 + -28. Let i = -1 + y. Calculate the remainder when 16 is divided by i.
6
Let t = -4 + 3. Let l be (-1 - 3) + -4 + -1 + 5. What is the remainder when 103 is divided by l*(13/2)/t?
25
Let d = -11 + 3. Calculate the remainder when 44 is divided by 22 - (d/4)/(2 + 0).
21
Suppose 197 - 27 = -2*i. Let d = i + 106. Calculate the remainder when d is divided by 12.
9
Let w(r) = 6*r + 3. Suppose 3*o = -12, -3*a + 10 = 5*o - 3. Suppose 0*g - g + a = 0. What is the remainder when w(3) is divided by g?
10
Suppose 0 = -12*v + 9*v + 129. Let p be 5/2*20/25. What is the remainder when v is divided by 22 + (1 + p)/3?
20
Let j(l) be the first derivative of -11*l**2 - 13*l + 23. What is the remainder when j(-6) is divided by 30?
29
Let b = 1171 + -1044. Calculate the remainder when b is divided by 66.
61
Suppose -2*i = u - 99, 2*u - 107 = u - 4*i. Calculate the remainder when u is divided by 16.
11
Let q(i) = -156*i + 1. Let c be q(1). What is the remainder when (-4)/(-8) + 1/((-2)/c) is divided by 23?
9
Suppose 0 = -5*u - 163 + 878. What is the remainder when u is divided by 33?
11
Suppose -z - 30 = -5*m, 0 = z - 0 + 5. Calculate the remainder when ((-24)/(-7))/((-2)/(-14)) is divided by m.
4
Let z = 213 - 128. What is the remainder when z is divided by 44?
41
Suppose 4*y - 12 = 0, 2*q - 326 = y + 663. Cal