 b.
19
Let i(p) = p**2 - 18*p + 25. What is the remainder when i(18) is divided by 13?
12
Let q(o) = o**2 + 5*o + 4. Let u(l) = -29*l**3 + 1. Let z be u(-1). Suppose -2*d + 6 + z = 0. Calculate the remainder when d is divided by q(-6).
8
Let w = -53 + 82. What is the remainder when 114 is divided by w?
27
Let n be -1 + 0 + (-1 - -44). Suppose 2*y + 0*y = n. What is the remainder when y is divided by 11?
10
Suppose 7*f = 145 + 100. Calculate the remainder when f is divided by 18.
17
Suppose 4*p = -2*r + p + 43, 0 = 5*p + 25. Let q(t) = -t**3 - 17*t**2 - 2*t - 19. What is the remainder when r is divided by q(-17)?
14
Let y = -6 + 22. What is the remainder when y is divided by 9?
7
Suppose -2*k = -5*a - 3*k + 86, -16 = -a + k. Calculate the remainder when 62 is divided by a.
11
Let v(z) = 2*z**3 - z**2 - 2*z + 3. Calculate the remainder when 43 is divided by v(2).
10
Let q = 6 - -8. Let h(s) = -s + 12. Let b be h(8). Suppose 50 = -b*f + 214. What is the remainder when f is divided by q?
13
Let l(h) = -7*h - 2. Let u be l(-3). Suppose p + u = 6*p + 2*s, -1 = -p + s. Calculate the remainder when 7 is divided by p.
1
Let g be (-1 - -1)*(5 - 4). Suppose 7 = -2*r - 2*h + 27, g = 4*h + 12. What is the remainder when r is divided by 7?
6
Suppose 0 = g - 6*g + 25. Suppose -119 = -g*r + 16. Calculate the remainder when 106 is divided by r.
25
Suppose 3*g + 3*j = -j + 21, 0 = -4*g - j + 28. Suppose 3*f - 6*f = l - 26, -8 = -3*l + 5*f. What is the remainder when l is divided by g?
4
Calculate the remainder when 3 + (160/5 - 0) is divided by 18/(-8)*(1 - 5).
8
Let q = 10 - 14. Let c = q + 9. What is the remainder when 19 is divided by c?
4
Suppose 3*n + 6 = 0, 40 = -0*o + 2*o + 3*n. What is the remainder when o is divided by 13?
10
Suppose -5*b - 36 = -271. Calculate the remainder when b is divided by 12.
11
Suppose q - 16 = -q. Suppose 3*w + 0*b = b + 31, 4*w - 2*b - 40 = 0. Let t = w - q. What is the remainder when 8 is divided by t?
2
Suppose 0 = -3*a + a - 2*d + 10, -4 = -2*d. Suppose 0 = a*q + q - 116. Suppose 2*u + q = 3*u. What is the remainder when u is divided by 15?
14
Suppose 116 = 4*p - 3*o, -3*p + 7*o - 2*o + 98 = 0. Let q = 2 - -7. Calculate the remainder when p is divided by q.
8
Suppose 0 = -d + 2*d - 98. What is the remainder when d is divided by 20?
18
Let x = 6 + -2. Suppose 2 = -x*a + 6*a. What is the remainder when (-10)/(-8) + 2/(-8) is divided by a?
0
Suppose -3*l = l - 32. Suppose -4*n + 23 = -3*n. What is the remainder when n is divided by l?
7
Let w(u) = 11*u - 9. What is the remainder when w(2) is divided by 6?
1
Let t(v) = -v - 52. Let c be t(0). Let r = -30 - c. What is the remainder when r is divided by 9?
4
Let r(i) = i**3 + 8*i**2 - 9*i + 4. Let v be r(-9). Suppose 0 = p + p - v. What is the remainder when p is divided by (-4*2/(-4))/2?
0
Let f = 15 + 1. Suppose -12 = -2*h + 2*p, 7*h - 3*p = 2*h + 22. Suppose -h*y + 2 = -16. What is the remainder when f is divided by y?
7
Suppose 0 = 4*z - 36*d + 38*d - 32, z + 6 = -4*d. What is the remainder when -1*(1 - 20*1) is divided by z?
9
Let k(t) = -1 + 0*t + t**2 - 8 + 6*t. What is the remainder when 13 is divided by k(-8)?
6
Suppose -6*f = -2*f - 116. What is the remainder when f is divided by 16?
13
Let f(k) = k**3 + 4*k**2 - 4*k + 5. Let b be f(-5). Suppose p + 0*p - 20 = b. Suppose -4*q + 0*q + p = 0. What is the remainder when 8 is divided by q?
3
Let v be (5 - (-9)/(-3))/1. Let z be 1 - (-2 - -2) - -1. Suppose -8 = -z*c + v*d, 0 = -5*c + 3*d + 26 - 2. Calculate the remainder when 17 is divided by c.
5
Suppose 3*v - 12 + 0 = 0. Calculate the remainder when 28 is divided by 2 - (2 - 34)/v.
8
Let f(z) = z**3 - 3*z**2 - 7*z + 16. What is the remainder when 13 is divided by f(4)?
1
Let r(s) = s**3 + 11*s**2 - 3*s - 16. What is the remainder when 65 is divided by r(-11)?
14
Suppose 0*x + 5*x = 5*h - 140, -4*x + 104 = 5*h. What is the remainder when 94 is divided by h?
22
Let g(w) = 7*w - 8. Calculate the remainder when 56 is divided by g(4).
16
Let b(c) = 12*c**3 - 2*c**2 - 2*c + 3. What is the remainder when 31 is divided by b(1)?
9
Let w(p) = p**2 + 10. What is the remainder when 572/20 - (0 + (-4)/10) is divided by w(0)?
9
Suppose -35*b + 426 = -29*b. Suppose -v + 11 + 7 = 0. Calculate the remainder when b is divided by v.
17
Suppose -t + y = 4*t - 140, -3*y - 15 = 0. Suppose 5*r - 90 = -4*f, 8*r = 4*r - 3*f + 71. Calculate the remainder when -2 + (1 - 0) + t is divided by r.
12
Let k(n) = -n**2 + 13*n - 5. Calculate the remainder when 143 is divided by k(6).
32
Let b be (-96 - -3)*3/(-1). Suppose 5*x - 2*p = b, x = -x - 3*p + 104. Calculate the remainder when x is divided by 19.
17
Suppose 0*c + c = -2*p + 7, 3 = -2*p - 3*c. Let y = 40 - 25. Calculate the remainder when y is divided by p.
3
Suppose -5*t + 390 = -0*t. Let a = t + -56. Let v(p) = p**3 - 4*p**2 + p + 4. What is the remainder when a is divided by v(4)?
6
Let h be 84/9*9/6. Calculate the remainder when 14 is divided by 3/6*h + 1.
6
Let r(w) = -60*w + 6. Let k be r(-4). Suppose 3*h + 4*u - k = 0, 5*u - 110 = -5*h + 295. Calculate the remainder when h is divided by 20.
18
Suppose p - 3*a - 20 = -0*p, -4*a - 25 = -p. Let r = p + 24. What is the remainder when 55 is divided by r?
26
Let p be 6/(-15)*(0 + -115). Suppose -2 = 4*x - p. What is the remainder when x is divided by 6?
5
Suppose -2*z + 208 = 3*g + 80, -3*z - 5*g + 192 = 0. What is the remainder when z is divided by 13?
12
Let d(k) be the second derivative of k**4/12 + 2*k**3 - 3*k**2/2 + 3*k. What is the remainder when 19 is divided by d(-13)?
9
Let k(a) = -2*a + 56. Calculate the remainder when 20 is divided by k(22).
8
Suppose v = 3*p + 16, -3*p + 0 = 4*v - 4. Let b(m) = m**3 - 4*m**2 - 5*m - 2. Let r be b(v). Let c = r - -41. What is the remainder when c is divided by 10?
9
Suppose 145 = 27*d - 22*d. Calculate the remainder when 82 is divided by d.
24
Let o(l) = -l - 6. Let y be o(-9). Suppose 27 = y*b - 0*b. What is the remainder when 150/b - 4/6 is divided by 6?
4
Suppose 3*a + 5 = 4*a. Calculate the remainder when (20/6)/5*21/1 is divided by a.
4
Suppose 4 = t - 1. What is the remainder when 9 is divided by t?
4
Suppose s - 18 = 17. Calculate the remainder when s is divided by 17 - 5/(1/1).
11
Suppose -3*c + 109 = 4*v - 11, 50 = 2*v - c. Calculate the remainder when v is divided by (-110)/(-44)*(3*1 + 1).
7
Suppose 3*o + 33 = 4*o. Let d = o + -15. Suppose 4*x = -3*m + 2*m + d, m - x - 3 = 0. Calculate the remainder when m is divided by 2.
0
Suppose -5*a = -117 + 27. Calculate the remainder when -11*-2*(-3)/(-2) is divided by a.
15
Let z = 40 + -14. Calculate the remainder when z is divided by 7.
5
Suppose y + 4*y - 5 = 0. Let b = 14 + y. Suppose 3*x = -0 + b. What is the remainder when x is divided by 3?
2
Suppose -2*n = 1 - 5. Suppose -5*s + 17 = 4*z, 4*s - 2 = -n*z + 2. Calculate the remainder when z is divided by 2/7 + (-33)/(-7).
3
Let v be ((-3)/5)/(6/(-30)). Suppose -3*h + 48 = -3*z, v*h - 38 = z + 14. Calculate the remainder when 34 is divided by h.
16
Suppose 6*m - 113 = 3*m + x, 3*m + 4*x - 103 = 0. Calculate the remainder when m is divided by 6*1/(-6)*-19.
18
Let j = -55 + 91. Suppose -3*a = -7*a + j. Suppose -h + 12 + 13 = 2*f, -5*h = -f - 180. What is the remainder when h is divided by a?
8
Suppose -5*d + 169 = -3*q, 3*q = d - 2*q - 25. What is the remainder when d is divided by 4?
3
Let p = 3 + -1. Let u be p*(-3)/(-6) - 1. Suppose g - 4*c - 12 = -u, 5*g + c = 18. Calculate the remainder when 10 is divided by g.
2
Suppose 0 = -2*j + 7*j. Let a(u) = u + 15 + u**2 - u**3 - u**2 + u**2. Calculate the remainder when 43 is divided by a(j).
13
Let p = -1 - -22. Let x = 269 - 261. What is the remainder when 2 + -3 + 1 + p is divided by x?
5
Let t(h) = h**2 - 6*h - 4. Let x be t(5). Calculate the remainder when x*(-3 - 2/(-1)) is divided by 4.
1
Let n(q) = q**3 + 7*q**2 - q - 5. Calculate the remainder when n(-6) is divided by 20.
17
Suppose -5*y - 38 = -6*y. Suppose 3*z - 4*z + 10 = 0. Calculate the remainder when y is divided by z.
8
Suppose -h = 5*v + 8 + 21, -5*v = 3*h + 37. Let y(g) = -g**2 - 7*g - 5. What is the remainder when 8 is divided by y(v)?
3
Let k(v) = 14*v + 5. Let t(n) = -29*n - 11. Let m(w) = 9*k(w) + 4*t(w). Calculate the remain