emainder when 23 is divided by n.
7
Let n(w) = w**2 - 12*w - 16. Let y be n(11). Let d = -18 - y. Calculate the remainder when 26 is divided by d.
8
Suppose 0 = 3*k + 3*b - 30, 0*b + 2*b + 64 = 5*k. Calculate the remainder when 32 is divided by k.
8
Suppose -9 - 10 = -2*b + 3*v, -6 = 2*v. Suppose -5*f + 0*f + 17 = 3*z, 0 = -b*f - z + 9. Calculate the remainder when (-2 - f)/((-12)/136) is divided by 12.
10
Suppose -5*l + 5 = -10. Suppose g + o = -l*o + 11, 5*g = -5*o + 70. What is the remainder when 28 is divided by g?
13
Suppose 0 = 2*h - 88 + 14. Calculate the remainder when h is divided by 20.
17
Let i(n) = n**3 + 3*n**2 + n - 1. Let c be i(-3). Calculate the remainder when (-2)/c - 345/(-6) is divided by 20.
18
Suppose 3*s = -5*h - 15, s = 2*h + 2*h - 5. Suppose -g + 21 = -h*g. Calculate the remainder when 40 is divided by g.
19
Suppose 2*t = 4, 4*t + 41 = -4*x + 125. Calculate the remainder when 111 is divided by x.
16
Calculate the remainder when 32 is divided by 13 + 3 - (-2)/1.
14
Calculate the remainder when ((-72)/(-32))/(2/296) is divided by 56.
53
What is the remainder when 2 is divided by (4*1)/(-11 - -13)?
0
Let b(x) = -x**3 + 7*x**2 + 9*x - 8. Let g be b(8). Suppose 4*j + g*t + 4*t - 52 = 0, -2*j + 5*t = -12. Calculate the remainder when 53 is divided by j.
9
Let h(g) = 8*g + 1. Let b(j) = -24*j - 4. Let s(i) = 4*b(i) + 11*h(i). Calculate the remainder when s(-5) is divided by 12.
11
Let g be (-1 - -1*2)*3. Let d(v) = 0*v**3 - 8*v + 10 - 2*v**g + v**3 - 8*v**2. Calculate the remainder when d(-7) is divided by 6.
5
Let d = 150 + -82. Suppose 3*s - 4*o - 58 = 0, 2*s = 5*o + d - 27. What is the remainder when 33 is divided by s?
15
Let y be (-1)/(-1*(-3)/42). Let n be -2 + -3*y/6. Suppose -n*f + 3*g + 169 = 2*g, 3*f - 103 = -g. Calculate the remainder when f is divided by 18.
16
Let x(j) = j + 18. Let q = 18 + -6. What is the remainder when x(15) is divided by q?
9
Calculate the remainder when 47/(-2 + -1 + 4) is divided by 12.
11
Let n(k) = -4*k - 3. Let y = 20 - 8. What is the remainder when y is divided by n(-2)?
2
Let d(o) = -o**2 + 10*o - 10. Suppose 5*z - 8 = -5*a + a, z = 3*a - 25. What is the remainder when d(a) is divided by 4?
3
Suppose -z + 2 = -1. Suppose 16 = -2*w + z*w. Calculate the remainder when 29 is divided by w.
13
Let t = 45 - 37. Let z(g) = g**3 + 8*g**2 + g + 7. Let h be z(-6). Suppose a - 5*f - 28 = 0, -4*f - h = a - 4*a. Calculate the remainder when a is divided by t.
7
Suppose -3*k + 11 = n + 2, -2*k - 1 = 3*n. Let f(r) = r**3 + 3*r**2 - 2*r - 1. What is the remainder when 7 is divided by f(n)?
2
Let i = 11 + -8. Suppose 11 = i*j - 61. What is the remainder when j is divided by 9?
6
Suppose -4*p = -183 - 65. Calculate the remainder when p is divided by 21.
20
Let n = 45 - 11. Calculate the remainder when 100 is divided by n.
32
Let i(r) = 3*r**2 - 6*r - 11. Calculate the remainder when 50 is divided by i(4).
11
Suppose 8 = -2*t, -3*r + 6*r - 104 = 2*t. Suppose -3*v + 4*q + 35 = 0, 0 = 2*v - v - 4*q - 1. Calculate the remainder when r is divided by v.
15
Let u(a) = a**2 + 6*a + 1. Let x = 167 + -89. Suppose 5*s - 37 = x. What is the remainder when s is divided by u(-7)?
7
Suppose -3*t + 6*t - 21 = 0. What is the remainder when t is divided by 5?
2
Let k = 41 + -13. Suppose -k = -2*y - 2*t, 4*y - 48 = 7*t - 3*t. What is the remainder when 38 is divided by y?
12
Let t = 81 + -44. Let m = -20 + t. What is the remainder when m is divided by 9?
8
Let x(r) = -r**3 - 8*r**2 + 9*r + 2. What is the remainder when x(-9) is divided by 2?
0
Let x = -13 + 38. What is the remainder when x is divided by 16?
9
Let w = 0 + 5. Calculate the remainder when (-2)/w - (-531)/15 is divided by 12.
11
Let r be 7*(3/(-1))/(-1). Suppose -2*l + 2*n + 12 = 0, 3*n = 2*l - 2*n - r. Let a = l + 2. What is the remainder when 14 is divided by a?
4
Suppose 9*k - 5*k = 460. What is the remainder when k is divided by 29?
28
Suppose -7 = 3*u - 4*t + 1, 2*t = 5*u - 10. Let k = 13 + u. What is the remainder when k is divided by 6?
5
Let w = 3 + -3. Suppose 34 = 4*u - 2*f, -f + w*f = -5. Calculate the remainder when 43 is divided by u.
10
What is the remainder when (-1 - 0)*-1*7 - -2 is divided by 6?
3
Let l(k) = k**3 + 4*k**2 + 2*k - 2. Let x be l(-2). Suppose 5*a = 2*c + 501, x*a + 509 = 7*a + 2*c. Calculate the remainder when a is divided by 34.
33
Suppose -3*g = 15*g - 486. Calculate the remainder when g is divided by 11.
5
Let h(b) = -b**2 - 8*b - 5. Calculate the remainder when (36/(-10))/(6/(-20)) is divided by h(-6).
5
Let c(v) = 21*v**2 - 2. Calculate the remainder when c(2) is divided by 17.
14
Suppose 2*c + 4 = 0, 2*x + 60 = -c + 2. Let v = x + 30. Suppose 5*w - 14 = 3*w. What is the remainder when w is divided by v?
1
Suppose -i + 26 = i. Calculate the remainder when 51 is divided by i.
12
Suppose 8 + 7 = n. Let q be (-312)/n + (-4)/20. Calculate the remainder when 3/((-9)/6) - q is divided by 7.
5
Suppose -18*u = -667 - 53. Calculate the remainder when u is divided by 17.
6
Let c = 12 - -10. Calculate the remainder when c is divided by 8.
6
Let n = 10 - -41. Calculate the remainder when n is divided by 27.
24
Let d = -67 + 3. Suppose 0 = 3*o - 0*o + 4*b - 34, -o = 5*b - 26. Calculate the remainder when 23 is divided by o/(-4)*d/12.
7
Let v(k) = -2*k + 4. Let w be (9/(-6))/(-1)*2. Suppose 0*u - 36 = -4*i + 4*u, 0 = -i - 2*u + w. Calculate the remainder when v(-4) is divided by i.
5
Suppose 0 = -38*b + 35*b + 18. Let u(j) be the third derivative of j**4/24 - j**3/6 + j**2. Calculate the remainder when b is divided by u(5).
2
Suppose -3*h - 2*j + 0 = -188, -2*h = 5*j - 107. What is the remainder when 19 is divided by 1/(-3) - h/(-9)?
5
Let u = -7 - -14. Calculate the remainder when (-22)/(-6)*3*1 is divided by u.
4
Calculate the remainder when (-1 - 0) + (-60)/(-4) is divided by 9.
5
Suppose 0 = 2*j - 3*i + 9, j = -5*i - 14 + 3. What is the remainder when 7 is divided by (-10)/(-8) + j/(-8)?
1
Let q(m) = 4 - 2*m**2 + 2*m**2 + m**3 - 3*m**2 + 4*m**2. Calculate the remainder when 10 is divided by q(0).
2
Suppose 457 = 19*o - 2545. Calculate the remainder when o is divided by 27.
23
Suppose -3*t - 248 - 181 = 3*h, -707 = 5*h + 3*t. Calculate the remainder when (-2)/6 + h/(-3) is divided by 12.
10
Let s = -31 + 8. Let z = 37 + s. Suppose 0 = 2*l - 61 - 21. Calculate the remainder when l is divided by z.
13
What is the remainder when (-1735)/(-20) + -3 + (-6)/8 is divided by 17?
15
Let f be (1 - -2)/(1/1). Let k(q) = -1 - 2*q + f*q + 0. Calculate the remainder when 2 is divided by k(2).
0
Suppose -5*b = -b - 20. Suppose 10 = -0*g - 5*g + 5*l, b*g - l = 10. Let y = -11 + 18. Calculate the remainder when y is divided by g.
1
Let n(y) = -y**3 + y + 3. Suppose 0 = 4*a + 4*s - 28, -5*a + 34 = -s + 5*s. Let p = a - 2. Calculate the remainder when p is divided by n(0).
1
Let k(m) = m**3 + 4*m**2 - 2*m - 3. Let w(b) = b**2 + b + 5. Calculate the remainder when w(-6) is divided by k(-3).
11
Let v(w) = -4*w**3 - 1. Let a be (-1)/(2 + (-2 - -1)). Calculate the remainder when v(a) is divided by 1.
0
Let f(w) = -3*w - 8. Let s be f(-6). Suppose 0*c = 5*c - s. What is the remainder when 7 is divided by c?
1
Suppose 0 = 4*b - 3*h - 14 - 1, 0 = 4*b + h - 11. Let r = b + 23. Let j(x) = -2*x**3 - 2*x**2 - 2*x + 2. Calculate the remainder when r is divided by j(-2).
12
Let b = -909 - -966. Suppose 7*m = 2*m + 5, -4*h + 2*m = -58. Calculate the remainder when b is divided by h.
12
Suppose 4*g - 4 - 4 = 0. Let r be -2 + 0/1 + g. Suppose -q - 3*q - 2*w + 52 = r, 0 = -5*q - w + 62. Calculate the remainder when q is divided by 7.
5
Let a(j) = 8*j**2 - 2*j - 2. What is the remainder when 49 is divided by a(2)?
23
Suppose -c - z + 87 = 0, c - 81 = -0*c + 5*z. What is the remainder when c is divided by 22?
20
Let p(w) = -w**3 + 3*w**2 + 3*w - 3. What is the remainder when p(2) is divided by 14/3 - (-16)/(-24)?
3
Suppose 4*j - 4 = 3*q, 0 = -q + 3*j - 2*j. Calculate the remainder when 6 is divided by q.
2
Let d(j) = j**2 + 2*j + 5. Let h be d(-7). Suppose -h = -5*y - 5*s, -2*y + 2*s - 5*s + 17 = 0. What is the remainder when (-3 - -1)*(-81)/6 is divided by y?
6
Suppose l - 42 = -0*l. Let m = 0 + 15. Calculate the remainder when l is divided by m.
12
Let k = 10 - -3.