 the remainder when 34 is divided by k.
16
Let z(x) = x**3 - 4*x**2 - 8*x + 9. Let h be z(6). Let f = h - 13. Calculate the remainder when 38 is divided by f.
18
Suppose -8 = -4*a + 8. Suppose w - 2*y - 3 = -0*y, -a*y - 27 = -5*w. Calculate the remainder when 18 is divided by w.
4
Let l = -3 + 3. Suppose l = -0*r - 4*r + 84. Let p = 21 - 10. What is the remainder when r is divided by p?
10
Suppose 0 = -5*i - 29 + 74. Suppose p - i = 8. Suppose 0 = -5*c - 8 + 53. Calculate the remainder when p is divided by c.
8
Let b be 4/32*-10*-48. Suppose -5*v = -v - b. Calculate the remainder when 73 is divided by v.
13
Let k = -41 + 27. Let w = k + 27. What is the remainder when w is divided by 4?
1
Let a = -151 - -219. What is the remainder when a is divided by 9?
5
Let d = 68 - 42. Let u = 49 - d. Let y = 30 + -18. Calculate the remainder when u is divided by y.
11
Suppose s - 12 = -2*s. Let v(x) = 4*x + 3. Calculate the remainder when 55 is divided by v(s).
17
Suppose 5*p + 15 = 0, p = -5*k + 10 - 33. What is the remainder when -3*k*10/12 is divided by 4?
2
Calculate the remainder when 137 is divided by (-208)/(-39)*(-21)/(-4).
25
Suppose n + 115 = 5*y, -2*n = -3*y + 105 - 29. Calculate the remainder when y is divided by 8.
6
Suppose -2*k + 9 = 3. What is the remainder when (1 - 2)/(5/(-295)) is divided by (-1)/(-3) - (-59)/k?
19
Let u(n) = -n**3 - 4*n**2 + 2*n + 3. Let r be u(-4). Let m = 30 - r. Calculate the remainder when m is divided by 9.
8
Let f(i) = 3*i**2 + i. Let v = -18 - -27. What is the remainder when f(-3) is divided by v?
6
Let w(c) = -c**3 + c + 16. Suppose -3*u = -2*i - 4, -4*u + 5*u = -5*i + 7. Suppose 0*g = -u*g + 12. Calculate the remainder when w(0) is divided by g.
4
Let i(x) = 7*x + 1. Calculate the remainder when ((-57)/(-5))/(1/5) is divided by i(2).
12
What is the remainder when 82 is divided by (21/35)/((7/20)/7)?
10
Let d = 186 + -120. Calculate the remainder when d is divided by 17.
15
What is the remainder when (((-18)/(-8))/(-3))/(10/(-960)) is divided by 25?
22
Let q be (1 + 1)*6/3. Suppose 2*o - q*f = 38, 2*f + f = 5*o - 67. What is the remainder when 20 is divided by o?
9
Let d(o) = o**2 + o + 5. Calculate the remainder when 97 is divided by d(-5).
22
Let i(y) = -y**2 + 11*y + 2. Let w be i(7). Let k(v) = 0*v**2 + 2 + 2*v + w*v**3 - 3 - 2*v**2. What is the remainder when k(1) is divided by 15?
14
Let m(t) be the first derivative of -5*t**2 + 2. Let g(b) = 51*b. Let d(p) = -4*g(p) - 21*m(p). What is the remainder when d(3) is divided by 10?
8
Let j be 0/5 - (-2 - -1). Calculate the remainder when (-1 - -18) + j + -4 is divided by 8.
6
Let y = -175 - -189. Calculate the remainder when 40 is divided by y.
12
Let j = 55 + -40. Calculate the remainder when 178 is divided by j.
13
Suppose -47 - 21 = -4*f. What is the remainder when f is divided by 10?
7
Let q be -56*(4/14 + -2). Suppose -q = -5*x + 2*x. What is the remainder when x is divided by 11?
10
Let s(g) = -g**2 + 6*g + 2. Let c be s(6). Suppose -46 - 94 = -c*k. What is the remainder when k is divided by 24?
22
Let f(c) = 3*c + 6. Let j be f(-4). Let n = 3 + j. Let g = -2 - n. Calculate the remainder when 2 is divided by g.
0
Suppose 3*d - 4*d - 3*s + 25 = 0, 5*s = -d + 35. Suppose 183 = 5*j + 4*b, 5*b - 62 = -5*j + 118. What is the remainder when j is divided by d?
9
Suppose 20 = 2*r - r. Suppose -2*z = -r + 2. Calculate the remainder when 25 is divided by z.
7
Suppose -27 = 2*k + 3*z - 2, -k - 6 = -5*z. Let w = k - -12. What is the remainder when 4 is divided by w?
0
Suppose 0 = -3*y + 5*s + 16 + 15, -4*y + 30 = -s. Let w be -14*(-2)/4 + 2. Suppose 0 = 3*b - 69 + w. What is the remainder when b is divided by y?
6
Let v(t) = t**3 - t - 1. Let c(l) = 4*l**2 - 5*l + 7. Let p(a) = c(a) + v(a). Calculate the remainder when p(-5) is divided by (-1 + 0)/((-2)/12).
5
Suppose -2*a + 36 = 2*v, 2*a - 21 = -3*v + 2*v. Let s = 101 - 58. Calculate the remainder when s is divided by v.
13
Let i(z) = z**2 + 8*z - 5. Let l be i(-9). Suppose l*r = 3*b - 64, -2 = -r + 4*b - 18. What is the remainder when 11 is divided by ((-18)/(-4))/((-12)/r)?
5
Suppose 2*d - 93 = 53. What is the remainder when d is divided by 19?
16
Calculate the remainder when 89 is divided by 4/(-18) + (-140)/(-63) + 21.
20
Let a = -6 + 9. Suppose a*j + 5*i = 78, 3*j = 8*j - 3*i - 164. What is the remainder when j is divided by (-190)/(-12) + (-4)/(-24)?
15
Suppose -t + 0 = -3. Suppose -2*g + t*g = -5*n + 9, 0 = -3*n. What is the remainder when 16 is divided by g?
7
Suppose -54 = 4*a - 162. What is the remainder when a is divided by 11?
5
Let d(p) be the second derivative of p**4/6 - 3*p**2/2 - 3*p. Let u be (2 + -1)*(-6)/2. Calculate the remainder when 29 is divided by d(u).
14
Let f = 134 - 83. Calculate the remainder when 151 is divided by f.
49
Suppose -5*y - 30 - 1 = -4*r, 0 = -2*r + y + 17. Let x(q) = q**3 - 9*q**2 + 9. What is the remainder when (33/(-3))/((-2)/6) is divided by x(r)?
6
Suppose a - 14 = 2. Suppose m = 3*m - a. Let u(c) = 2*c**2 - c + 1. What is the remainder when u(-3) is divided by m?
6
Let z(n) = 12*n - 1. Let a = -5 + 6. What is the remainder when z(a) is divided by 4?
3
Let j(b) = 3*b - 1. What is the remainder when 29 is divided by j(3)?
5
Let f = -17 - -22. What is the remainder when 11 is divided by f?
1
Let n(f) be the second derivative of -f**5/20 + f**4/2 - f**3/2 + 3*f**2 - 2*f. Calculate the remainder when n(5) is divided by 9.
7
Let j = 26 + -22. What is the remainder when j is divided by 1?
0
Let b = 2 + 25. Suppose -2*h = -3*h - o + b, o - 85 = -3*h. Calculate the remainder when h is divided by 8.
5
Let c be (1 + 4/(-10))*5. Suppose 0 = c*l - 0*l - 12. Suppose -72 + 8 = -l*n. Calculate the remainder when n is divided by 6.
4
Let f = -26 + 68. Calculate the remainder when 124 is divided by f.
40
Let g = -4 + 7. Suppose 1 - 37 = -g*i. Calculate the remainder when 45 is divided by i.
9
Let v = -59 + 66. What is the remainder when 20 is divided by v?
6
Suppose 8 = 5*x - 4*x. Suppose -4*w + 0 = x, 3*k - 71 = -2*w. Let y = -20 + 29. Calculate the remainder when k is divided by y.
7
Let p(b) = b**3 + 7*b**2 + 6*b + 7. Let c be p(-6). Let k = 4 + -1. What is the remainder when (c/2)/((-5)/(-10)) is divided by k?
1
Suppose 0 = -4*y + 3*s - 2 + 1, 5*y + 3*s + 8 = 0. What is the remainder when y - 2/1 - -23 is divided by 11?
9
Let g(i) = i**2 - i + 2. Calculate the remainder when 85 is divided by g(5).
19
Let d = 14 + -5. Let w(q) = -q**3 - 2 + 5*q**2 - 10 + q + 8. Calculate the remainder when w(4) is divided by d.
7
Let s(w) = -w**3 - 11*w**2 - 3*w - 14. Let c be s(-11). Calculate the remainder when (-43)/(-2) + 1/(-2) is divided by (-2)/(-4)*(c - -3).
10
Let n(g) be the first derivative of g**3/3 - 5*g**2/2 - 4*g + 1. Let d be (-1)/2*6*-2. Calculate the remainder when 3 is divided by n(d).
1
Let z = -28 - -51. Let f(r) = -3*r + 3. Let o be 2/(-4) - (-10)/(-4). What is the remainder when z is divided by f(o)?
11
Suppose 280 = 5*x + 5*h - 365, -2*x + 249 = 5*h. Suppose -4 - 14 = -u + 4*b, 0 = 5*u + b - x. What is the remainder when 50 is divided by u?
24
Let f = -1 + 25. Suppose 3*b - 18 = -u + 5*b, 3*u - 44 = 4*b. What is the remainder when 0 + -2 - f/(-1) is divided by u?
6
Calculate the remainder when (6/4)/(4/72) is divided by 7.
6
Let q(g) = 6*g**2 + 11*g - 11. What is the remainder when 76 is divided by q(-4)?
35
Suppose 0*g + 4*g - 6 = -3*h, 3*h = -6. What is the remainder when -2*-2*(-7)/(-4) is divided by g?
1
Suppose -4*a = -a - 15. Suppose -a*b = -25 - 0. What is the remainder when (-255)/6*(-4)/b is divided by 18?
16
Let g = 38 - 37. What is the remainder when 2 is divided by g?
0
Suppose -5*z - 5*f + 30 = -0*z, -5*z = -3*f - 54. Suppose 3*a + 0*a = -z. Calculate the remainder when 5 is divided by (a/(-2))/(2/4).
2
Suppose -4*d = -d + 5*n + 26, -5*d = -3*n + 32. Calculate the remainder when 1 - d/((-14)/(-68)) is divided by 9.
8
Suppose -5*r = -9*r + 108. What is the remainder when r/(-2)*2/(-3) is divided by 2?
1
Let n(a) = -2*a**2 + 16 - 9 + 3*a**2. Suppose 0 = 3*f - 4*q + 5, 4*f + 4*q - 45 = -f. Calculate the remainder when n(f) is divided by 11.
10
Let u(q) = q**3 + 7*q**2 - 13*q - 20. What is the remainder when u(-8) is divided by 10?
0
Suppose 3*k + 114 = 3*q - 144