- 20. Calculate the remainder when 17 is divided by h.
8
Let m(b) = 6*b - 4. Let c be m(-3). Suppose 0*g = 3*g - 69. Calculate the remainder when g is divided by 1 - c/(1 - -1).
11
Let p(k) = -8*k**2 - 12*k**3 + 23*k**3 - 12*k**3 + 5. What is the remainder when 17 is divided by p(-8)?
2
Let x(k) be the second derivative of k**5/20 - 7*k**4/12 + k**3/6 + 4*k**2 - 5*k. Calculate the remainder when 42 is divided by x(7).
12
Let x(i) = -i**3 - 5*i**2 - 2*i + 10. Let m be x(-5). Let f = 29 - m. Calculate the remainder when 16 is divided by f.
7
Let k = -15 + 20. Let h = 4 - 2. What is the remainder when (27 + (0 - 1))/h is divided by k?
3
Suppose -2*q - v = -201, q + 3*v - 405 = -3*q. What is the remainder when q is divided by 20?
19
Let j(s) = -s - 3. Let d be j(-5). Calculate the remainder when 44 is divided by (d/2)/(2/24).
8
Calculate the remainder when 64/16 - 54/(-1) is divided by 12.
10
Suppose 2*s - 9 = 11. What is the remainder when s is divided by 3?
1
What is the remainder when ((-6)/4)/(3/(-90)) is divided by 24?
21
Let n(f) = -2*f + 1. Calculate the remainder when 30 is divided by n(-3).
2
Let h(z) = -7*z - 1. Suppose -15 = -n - 3. Let v be (-2)/n + (-23)/6. Calculate the remainder when h(v) is divided by 15.
12
Let l = 5 - -10. Let o = 53 + -26. Calculate the remainder when o is divided by l.
12
Let k be (-15)/9 - 2/6. Suppose -j = j - 14. Calculate the remainder when k*1*19/(-2) is divided by j.
5
Let y(q) = 6 + 3*q - 5*q - 6. What is the remainder when y(-7) is divided by 4?
2
Suppose 0 = p + 3*p - 8. Suppose d = -p*d + 156. Suppose -3*x - m + 18 = -d, 3*x - 78 = -3*m. What is the remainder when x is divided by 8?
6
Suppose 10 = 2*d + 4. What is the remainder when d is divided by 2?
1
Suppose -2*d + 2*i + 62 = d, 5*d - 95 = -5*i. What is the remainder when 73 is divided by d?
13
Suppose -f = 5, 3*r + 4*f - 22 = 6*r. What is the remainder when 16 is divided by 3*-6*r/28?
7
Let x = -11 - -4. Let y = 14 + -6. Let m = x + y. Calculate the remainder when m is divided by 1.
0
Suppose 3*y = y + 38. Suppose 2*z = z + y. Calculate the remainder when z is divided by 11.
8
Let f(p) = -p**2 + 7*p + 5. Calculate the remainder when f(6) is divided by (12/(-14) - 0)*-7.
5
Let s(f) = 12*f**2 + 2*f + 1. Suppose 0 = -5*v + 56 + 49. Calculate the remainder when v is divided by s(-1).
10
Let v(b) = 38*b**2 - 3. Let c(o) = o**2 + 1. Let s(r) = 4*c(r) + v(r). What is the remainder when s(-1) is divided by 1*22/(1 - 0)?
21
Suppose -2*q - i + 1 = 0, -6*i = -2*i + 20. Suppose 34 = q*h - h. What is the remainder when 50 is divided by h?
16
Suppose -3*k = 4*h - 130, 3*k + 2*h = -0*h + 134. What is the remainder when k is divided by 12?
10
Suppose 2*y = 5*q + 19, -1 = -5*y - 3*q - 0. Suppose 0 = y*z - 7 - 17. What is the remainder when 8/z + 188/6 is divided by 11?
10
Let q(z) be the second derivative of z**4/12 + 7*z**3/6 + 9*z**2/2 - 8*z. What is the remainder when 35 is divided by q(-7)?
8
Suppose 24 = -v + 2*v - 2*q, -3*v - 3*q = -108. What is the remainder when v is divided by 11?
10
Suppose -2*k + 2*u + 50 = -6, k + 4*u = 43. Calculate the remainder when 120 is divided by k.
27
Suppose 2*x = 5*r - 15, -5*x + 17 = -r - 3. Suppose -r*a + 5*g = -10, 2 = 3*a + 2*g - 24. What is the remainder when 22 is divided by a?
4
Let x(m) = -m**2 + 6*m - 4. Let p be x(4). Suppose p*t = -3 + 19. What is the remainder when ((-18)/4)/(6/(-8)) is divided by t?
2
Suppose 4*f - 3*x = 0, -7*x + 4*x = -5*f - 3. What is the remainder when (10/(-4))/(2/(-4)) is divided by f/(-1) + (0 - 1)?
1
Suppose y - 14 = -y. Let b(c) = -24*c**3 + c**2 - c - 1. What is the remainder when b(-1) is divided by 6/21 + 61/y?
7
Let i be (-2)/(-11) - (-84)/22. Suppose 0 = x - 4*v + 11, -x + i*v = 2*v + 5. What is the remainder when -1*(-37)/x + 0 is divided by 13?
11
Let h(q) = -5*q - 4. Let u(c) = 2*c + 1. Let b(p) = -2*h(p) - 7*u(p). Let n = 22 - 18. What is the remainder when b(-1) is divided by n?
1
Suppose 2*l = -4*i + 196, 0 = 5*l - 3*i + 2*i - 468. Suppose 6 = 2*p - l. What is the remainder when p is divided by 17?
16
Suppose 3*y = -5*b + 20, -b + 15 = 2*y + 4*b. Suppose c + 3*c = 4. Calculate the remainder when y is divided by 2*c/4*4.
1
Let i(h) = h. Suppose 4*y + 2 = 5*a, -2*a - 2*y + 6 = -y. Calculate the remainder when i(a) is divided by 1.
0
Let v(c) = -5 + 3 - 85*c + 1 - 1. What is the remainder when v(-1) is divided by 28?
27
Let r(v) = -v**3 + 6*v**2 + 14. What is the remainder when r(5) is divided by 20?
19
Let f(v) = v**3 - 2*v**2 + 8*v - 7. What is the remainder when 42 is divided by f(2)?
6
Suppose -w + 309 = 3*b, 0 = -4*b - w + 157 + 255. Calculate the remainder when b is divided by 35.
33
Suppose 3*z - 45 = -3*l, l + 2*z + 2*z - 27 = 0. What is the remainder when 19 is divided by l?
8
Suppose 14*c + 90 = 20*c. Calculate the remainder when 72 is divided by c.
12
Let b(i) = -i**2 + 10*i + 13. Let d be b(11). Suppose 4*c - p - 118 = 0, -5*p = -d*c - 2*c + 126. Calculate the remainder when c is divided by 15.
14
Let c = -11 - -21. Suppose -45 = -k + 4*o, -k = -4*k - o + 109. What is the remainder when k is divided by c?
7
Suppose -b = -5*t - 5 + 1, 2*b + 5*t - 23 = 0. Let n = -28 - -44. What is the remainder when n is divided by b?
7
What is the remainder when 10 is divided by 6/21 - 26/(-7)?
2
Let n(z) = 2*z - 1. What is the remainder when (-3 + 7)*3/6 is divided by n(1)?
0
What is the remainder when 30 is divided by 8/(-52) - 840/(-52)?
14
Let u be (9 - 2)*(-4)/4. Let t(n) = n - 13. Let f(g) = -3*g + 27. Let k(c) = 6*f(c) + 13*t(c). What is the remainder when k(u) is divided by 10?
8
Suppose -2*n = -2*y + 28, 90 = 5*y + 12*n - 7*n. What is the remainder when 22 is divided by y?
6
Let f(h) = 27*h**2 + 4*h - 3. What is the remainder when (-484)/(-9) + (-4)/(-18) is divided by f(1)?
26
Suppose y = 8 - 0. Let w = -72 + 118. Suppose -5*f + c - 57 + 162 = 0, -w = -3*f + 4*c. What is the remainder when f is divided by y?
6
Let q(h) = h**3 + 8*h**2 + 5*h + 4. Let a be q(-7). Suppose 3 = 3*t - a. Calculate the remainder when t is divided by 3.
1
Let q = -9 + -1. Let m = 23 + -4. Let c = q + m. Calculate the remainder when c is divided by 5.
4
Let f(u) = -u**3 - 6*u**2 + 5. Let t = -6 - 0. Let j be f(t). Calculate the remainder when 1 is divided by 7/5 - 2/j.
0
Let l = 13 + -5. Let s = -269 + 284. Calculate the remainder when s is divided by l.
7
Suppose -b + 8 + 14 = 0. Let d be 2/(-8) - 27/(-12). Calculate the remainder when b is divided by 6 + (1 - (d + -3)).
6
Let u(k) be the second derivative of k**4/12 + 2*k**3 + 4*k**2 - 2*k. What is the remainder when u(-12) is divided by 5?
3
Suppose -5*h + 15 = -25. Suppose -6*s + 3*s + 5 = -4*x, -4*x = s - 7. What is the remainder when h is divided by s?
2
Let t = 41 - 31. Let b(r) = -r + 19. Suppose -7*d = -3*d. Calculate the remainder when b(d) is divided by t.
9
Let b(t) = -2*t + 1. Let w be b(1). Let g(d) = -4*d. What is the remainder when g(w) is divided by 3?
1
Let q = -128 + 262. Calculate the remainder when q is divided by 45.
44
Suppose 0 = 3*q + 47 - 125. Suppose 5*c - 19 = q. What is the remainder when 25 is divided by c?
7
Let k = -13 + 21. Let h = -14 + 36. What is the remainder when h is divided by k?
6
Let n be (-39)/(-15) + (-2)/(-5). Suppose n*t - 23 = 22. What is the remainder when 27 is divided by t?
12
Suppose -28 = -3*h - 4*j, 5*h - 43 = -0*h - 3*j. Suppose -5*l = 4*w + 102 + 88, 10 = -5*l. Calculate the remainder when w*(1 + (-8)/6) is divided by h.
7
Let g be 0 - 25 - (0 + -2). Let x(w) = w + 6. Let q be x(-8). Let t = q - g. What is the remainder when 40 is divided by t?
19
Let w(u) = -3*u**2 - 7*u. Let g be w(-6). Let d = 114 + g. What is the remainder when d is divided by 10?
8
Suppose 0*h = -2*h - 2*j - 6, -5*h + j = -15. Let d(z) = 5*z**2 - z - 1. Suppose -4*p + 93 = -35. Calculate the remainder when p is divided by d(h).
15
What is the remainder when 46 is divided by (-3)/1 - 2/((-2)/15)?
10
Suppose f = 5*d - 7, 3 = -4*d + 5*d. What is the remainder when f is divided by 2?
0
Let f = -26 - -38. What is the remainder when f is divided by 5?
2
Suppose -i = -3*v - v + 20, 2*v - 10 = 5*i. Suppose i*m - m = -25. Calculate the remainder when 37 is divided by 4/10 + 465/m.
18
Suppose 5*f + v = 48, 4*f + v = -19 + 58. Cal