21. Let l(k) = 17*w(k) + 6*z(k). Calculate the remainder when l(5) is divided by 18.
17
Let o(t) = 3*t - 20. What is the remainder when 39 is divided by o(10)?
9
Suppose -3*r = -22 - 14. Let y(n) = 23*n - 3. Let w be y(4). Suppose 2*d + 19 = w. What is the remainder when d is divided by r?
11
Let c = 82 + -66. Calculate the remainder when c is divided by 11.
5
Let y be -1*(8 - -2) - -1. Let i(d) = d**2 + 9*d - 2. Let n be i(y). Calculate the remainder when 1 - (-3)/(1 - n) is divided by 1.
0
Let u(x) = -3 - 6 + 5 - 5 - 3*x. What is the remainder when 47 is divided by u(-7)?
11
Let g(i) = 3*i + 9. Let y be g(7). Suppose 2*q + y = 3*n - 165, -n + 55 = -4*q. Calculate the remainder when n is divided by 17.
16
Let k(i) be the second derivative of -43*i**3/6 - i**2/2 - 5*i. What is the remainder when k(-1) is divided by 15?
12
Suppose 0 = 5*r - 11 - 14. Suppose 3*a - 29 = 5*i, -a + i - 9 = -16. What is the remainder when (-2)/5 + 42/r is divided by a?
2
What is the remainder when (-6)/(-6)*(-1 - -98) is divided by 25?
22
Suppose 61 = -0*x + x + 4*j, 2*j + 82 = 2*x. What is the remainder when x is divided by 7?
3
Let l = -100 + 158. Suppose 4*o + 3*b - 19 = 0, 2*o + 5*b - 6 - 7 = 0. Calculate the remainder when l is divided by (-12)/o*1*-5.
13
Let x(t) = 3*t + 25. Calculate the remainder when 46 is divided by x(-5).
6
Let p = -48 + 74. Calculate the remainder when p is divided by 6.
2
Suppose 4*m = -3*y + 267, -10 + 1 = 3*y. Suppose -2*r + 55 - 19 = 0. Calculate the remainder when m is divided by r.
15
Suppose 3*g + 3*h - 63 = 6*h, -4*h + 98 = 3*g. Calculate the remainder when 100 is divided by g.
22
Let w(d) = 12*d - 9. Calculate the remainder when w(4) is divided by 10.
9
Suppose 5*t - 66 + 6 = 4*b, 0 = 3*b. Let d(v) be the third derivative of -5*v**4/24 - 5*v**3/6 + v**2. What is the remainder when d(-8) is divided by t?
11
Suppose j = 5*s + 2, 0 = 2*s - 6*s + 12. Let h(b) = -b**3 + 7*b**2 + 18*b + 9. What is the remainder when j is divided by h(9)?
8
Suppose 0 = -0*z + z + b - 15, 4*z - 2*b = 42. Let t = -4 + z. Suppose 7*m - 3*m - 60 = 0. Calculate the remainder when m is divided by t.
7
Suppose -5*w + 4*l = -100, 4*w + 3*l - 54 = 57. Let n = w + -6. What is the remainder when 34 is divided by n?
16
Let f = -13 + 16. Suppose -f*k + 24 = -k. Calculate the remainder when 47 is divided by k.
11
Suppose -91 = -2*l + 5*u + 10, -5*l + 3*u + 243 = 0. Let q = l - 23. Let y = q - 15. Calculate the remainder when 29 is divided by y.
9
Let b = -2 - -2. Suppose b*l - 36 = -4*l. What is the remainder when ((-20)/(-6))/((-2)/(-15)) is divided by l?
7
Let a(c) = -c**2 + 4*c + 2. Let b be a(5). Let d = 1 - b. Suppose o + d*u - 15 = 5*u, 4*u - 39 = -5*o. What is the remainder when 21 is divided by o?
10
Let z(v) = -15*v**3 - v**2 - 2*v - 1. Let o be z(-1). Calculate the remainder when 40 is divided by 10/4*126/o.
19
Let g(u) = u - 5. Let d(k) = k**2 + 1. Let x be d(1). Suppose 3*n - 5 = -x. What is the remainder when g(6) is divided by n?
0
Let t(v) = -v**2 + 6*v + 4. Let z(c) be the first derivative of c**4/4 + 4*c**3/3 - c**2 - 6*c + 2. What is the remainder when t(6) is divided by z(-4)?
0
Suppose -5*o - 3*z + 49 = 0, 0 = -4*o - 0*z - 5*z + 47. Let g = -48 + 91. Suppose 0 = -4*m + g + 13. Calculate the remainder when m is divided by o.
6
Suppose -3*i + 6 = -96. Suppose i = b - 23. What is the remainder when b is divided by 15?
12
Suppose -52*i = -54*i + 16. Calculate the remainder when 60 is divided by i.
4
Let h(p) = -p + 12. Let y be h(8). Let k = y + 4. What is the remainder when 30 is divided by k?
6
Let x = 27 + -17. Let k = x - 4. What is the remainder when 9 is divided by k?
3
Let b = -6 - -4. Let i = b - -6. Let g = i + 27. What is the remainder when g is divided by 16?
15
What is the remainder when ((-175)/(-10))/(-5)*-22 is divided by 6?
5
Suppose -5*c = -5*g - 20, -3*g + 60 = 5*c + 2*g. What is the remainder when 23 is divided by c?
7
Suppose 3*g - 50 = -5*n, -66 = -4*g + g + 3*n. Suppose -308 = -0*b - 4*b. What is the remainder when b is divided by g?
17
Let u(a) = 10*a**3 - 8*a**2 - 2*a + 1. Suppose -2*l - 2*l = -48. What is the remainder when u(2) is divided by l?
9
Let q = 15 + -12. Calculate the remainder when 3 is divided by q.
0
Let a = 30 - 16. Calculate the remainder when 53 is divided by a.
11
Suppose -3*j + 127 = -143. What is the remainder when j is divided by 23?
21
Suppose -5*m + 0*m = 3*i - 28, -2*i + 7 = m. Calculate the remainder when m is divided by 4.
1
Suppose -3*a - 4*f + 7*f = -93, 4*f = -5*a + 200. Calculate the remainder when a is divided by 19.
17
Let l(s) = -s**3 - 2*s**2 - 2*s - 2. Let w(x) = x. Let f be w(5). Calculate the remainder when l(-2) is divided by (-77)/(-35) + (-1)/f.
0
Let n(g) be the third derivative of -g**6/120 + g**5/60 - g**4/6 - g**3/3 - 4*g**2. What is the remainder when n(-3) is divided by 12?
10
Suppose 0 = 2*n + 3*f - 11, -2*f + 7 = 1. Let o(j) be the third derivative of j**4/24 + 7*j**3/6 - 4*j**2. What is the remainder when o(-5) is divided by n?
0
Suppose 14 = f - 1. What is the remainder when 43 is divided by f?
13
Let w be 2 + 0 + 0/(-1). Suppose -l + 4*t = -4, -t = w*l + 3*t + 16. What is the remainder when 5 is divided by 1 + l + 2 + 4?
2
Suppose -7 = -x + 19. What is the remainder when x is divided by 7?
5
Let z(g) = -5*g - 3*g**2 + 2*g**2 - 8*g + 4*g - 1. What is the remainder when 34 is divided by z(-7)?
8
Let s be 14/3 + (-4)/6. Suppose -s*a = -0*a - 352. Let g = a - 41. Calculate the remainder when g is divided by 16.
15
Let h = -18 + 40. Calculate the remainder when (-8)/(-12) + 127/3 is divided by h.
21
Suppose -565 = -17*k + 336. What is the remainder when k is divided by 16?
5
Let t = 13 - 4. Calculate the remainder when 31 is divided by t.
4
Suppose -m + 57 = 4*b - 4*m, m = b - 15. Suppose 100*l = 99*l + 7. What is the remainder when b is divided by l?
5
Suppose 0 = y - 10 + 2. Calculate the remainder when 22 is divided by y.
6
Calculate the remainder when 67 is divided by 280/12 - (44/(-12) + 4).
21
Let h = -42 - -63. Suppose 0 = u + 2*u - h. Calculate the remainder when 12 is divided by u.
5
Let k be (-14)/(-6) - 2/6. Suppose n + 16 = 4*u, -3*u - k*n = u - 16. What is the remainder when 13 is divided by u?
1
Let b(k) = -k**3 + 3*k**2 - 4*k. Let w(y) = y**2 - 3*y. Let a be w(4). Let v be b(a). Calculate the remainder when (-22)/4*v/4 is divided by 15.
14
Let v = -33 - -53. What is the remainder when v is divided by 6?
2
Let t(w) = -w**2 - 11*w - 12. Calculate the remainder when t(-9) is divided by 4.
2
Let x(l) = 10*l + 3. Let r(s) = 10*s + 3. Let z(f) = 5*r(f) - 6*x(f). Let v(k) = -3*k**3 - k**2 - 1. Calculate the remainder when z(-4) is divided by v(-2).
18
Let n(u) = -u**3 + 5*u**2 + 7*u. Let h = -15 + 23. Suppose -3*a + 0*a + 5*p = -h, 4*a = 5*p + 14. Calculate the remainder when 17 is divided by n(a).
5
Suppose -v + 15 = 1. What is the remainder when v is divided by 9?
5
Let b be 1 + -1 + 0/2. Suppose b = -3*f + 4 + 5. Suppose -6*a + a = 3*r + 4, 5*r - 2 = -4*a. What is the remainder when f is divided by r?
1
Let b = -13 + 19. Suppose 2*y + 4*h + 11 = -9, 0 = 5*y + 2*h + 26. What is the remainder when b is divided by (-1)/y + 30/8?
2
Suppose -r + 4 = 5*s - 14, 0 = -5*s - 4*r + 27. Suppose 5*w - 5*l - 103 = -28, 59 = 5*w + s*l. What is the remainder when (4/(-6))/((-4)/222) is divided by w?
11
Suppose l - 19 = -14. Suppose -2*r - 4*f = 14, 5*f + 18 = r - 3*r. Let k = 2 + r. What is the remainder when l is divided by k?
2
Let y = 11 - 8. Suppose -76 = -y*f - 4*g, 3*f + 0*g - 68 = -2*g. Calculate the remainder when 59 is divided by f.
19
Suppose -2*u = 4*c - 562, -2*u + 423 = -4*c + 7*c. What is the remainder when c is divided by 28?
27
Suppose -1 = -h, -2*h + 3 = a - 10. What is the remainder when a is divided by 4?
3
Suppose 0 = -x - 14 + 71. Suppose -4*j + x + 3 = s, -5*s = -4*j - 228. Calculate the remainder when s is divided by 17.
14
Let o(i) = -1. Let r(s) = -15*s - 1. Let u(y) = -2*o(y) + r(y). Suppose -l + 0 = 3. Calculate the remainder when u(l) is divided by 12.
10
Let p(q) = -6*q - 19. Let a(h) = 9*h + 28. Let o(x) = -5*a(x) - 7*p(x). Let g = 4 - 11. What is the remainder when o(g) is divided by 8?
6
Suppose 4*z = 11 + 25. What is the remainder when z is divided