Calculate the remainder when k is divided by 31.
29
Suppose 19*j + 60 = 25*j. Calculate the remainder when 767 is divided by j.
7
Let y(i) = 5 + 9*i - 5*i - 7*i. What is the remainder when y(-8) is divided by 11?
7
Let j(k) = 20*k + 31. Let u(n) = 4*n + 6. Let c(t) = -2*j(t) + 11*u(t). What is the remainder when c(2) is divided by 6?
0
Let c be (1 - -1) + 1/1. Suppose -5*d + 16 = 4*x, -3*x + 12 = c*d + 2*d. Suppose x*b - 2*b - 78 = 0. Calculate the remainder when b is divided by 14.
11
Suppose 0 = 44*b - 41*b + 15. Calculate the remainder when -9*(-6)/9 - b is divided by -2 + 14/2 + -1.
3
Let a = 1903 - 1872. What is the remainder when 167 is divided by a?
12
Let s(z) = -z + 14. Suppose -70 = -4*d + 2*w, -4*w - 50 = d - 3*d. Calculate the remainder when s(-13) is divided by d.
12
Let s(k) = 7*k + 12. What is the remainder when 89 is divided by s(5)?
42
Let n be (-30 - -27) + (0 - (-34)/(-2)). Let r = n - -46. Calculate the remainder when 50 is divided by r.
24
Suppose -2*i - 20 = -4*x - 0*x, -18 = -2*x - i. Calculate the remainder when (-2)/(10/(-155)*1) is divided by x.
3
Let f = -35 + 38. Suppose -11*h + 80 = -6*h. What is the remainder when h is divided by f?
1
Let d = 3028 - 2967. What is the remainder when d is divided by 10?
1
Suppose -5*u + 0*u + 5*j - 320 = 0, -4*j - 293 = 5*u. Let v = u - -66. Calculate the remainder when 12 is divided by v.
2
Let v = -146 - -158. What is the remainder when 82 is divided by v?
10
What is the remainder when 12*(666/24 - 10) is divided by 38?
23
Let t be -11 + (-1)/(-2)*0. Let h(v) = 1036*v**2 + 2 - 8 + 9*v - 1046*v**2 - v**3. Calculate the remainder when 29 is divided by h(t).
13
Let r = 912 - 891. Calculate the remainder when 58 is divided by r.
16
Suppose 3*n - 6 = 9. Suppose -d - 14 = n*q, -42 = -0*d - 2*d + 4*q. Calculate the remainder when -2 + 4 - 0 - -30 is divided by d.
10
Let x = 69 - 49. Suppose -2*w + 3*w - 4*f = -54, f = -4*w - 131. Let d = 24 - w. What is the remainder when d is divided by x?
18
Suppose -y - 18 = -3*y - 3*m, -4*y + 4*m = -56. What is the remainder when (0 - -1)/(y/324) is divided by 10?
7
Suppose f - 5 = -2, -d = -8*f - 9. Calculate the remainder when 213 is divided by d.
15
Let u be (72/(-30))/((-4)/10). Calculate the remainder when 465/6 - 3*1/u is divided by 16.
13
Let b(d) = 3*d**2 + 35*d - 14. Let y be b(-12). Calculate the remainder when y/4 + 38*(-15)/(-20) is divided by 5.
3
Suppose 3*g - 30 = -3*c, 2*g - 20 = -4*c + 20. Suppose z = -3*z + 196. What is the remainder when z is divided by c?
9
Calculate the remainder when 779 is divided by (6/(-3))/((-98)/833).
14
Calculate the remainder when 376 is divided by ((-8)/14)/(8/(-756)).
52
Suppose 6*n - 9684 = -g, -4*n + 8070 = n + 4*g. Calculate the remainder when n is divided by 11.
8
Let n = 16 + -15. What is the remainder when 28 is divided by (-1)/((n + 4)/(-85))?
11
Suppose 5*f = 36 - 11. Let j(r) = r**3 - 6*r**2 + 6*r - 3. Let l be j(f). Suppose l*t = 82 - 2. Calculate the remainder when t is divided by 11.
7
Suppose -3*d + 18 = 3. Let w(l) = -3 + 2 + 4 + 2*l. Calculate the remainder when w(d) is divided by 7.
6
Suppose 3*c - 35 = -5*l, -5*c + 17 = 4*l + 2. Let q(h) = h**2 - 11*h + 17. Calculate the remainder when 32 is divided by q(l).
4
Let h(o) be the second derivative of -o**5/20 - 2*o**4/3 + 7*o**3/6 - 11*o**2/2 - 12*o. What is the remainder when 62 is divided by h(-9)?
6
Let x(v) = 4*v**3 - 5*v**2 + 29*v - 124. What is the remainder when x(5) is divided by 40?
36
Let d = -77 + 150. Suppose 458 = 11*z + d. Calculate the remainder when 68 is divided by z.
33
Suppose 3*t - 5 = 3*d + 70, -d = -4*t + 40. What is the remainder when 137 is divided by ((-184)/d)/(2/5)?
22
Let x(i) = -i**2 + 17*i - 52. Let p be x(13). Suppose -2*o + p*n - 3*n = -48, 3*n = -12. What is the remainder when o is divided by 19?
11
Suppose 18 = -34*n + 222. Calculate the remainder when 41 is divided by n.
5
Let a = -445 - -626. Suppose 4*q - a = 147. Let x(c) = 19*c + 2. Calculate the remainder when q is divided by x(1).
19
Let w = 364 - 357. Calculate the remainder when 159 is divided by w.
5
Let n(b) = -18*b + 159. What is the remainder when n(7) is divided by 19?
14
Let p(l) = -55*l**3 + 1. Let j be p(-1). Calculate the remainder when 5*(j/10 + -2) is divided by 10.
8
What is the remainder when 128 is divided by (-112)/(-7) - 1/(-1)?
9
Let x = 91 + -58. Let z be (-4)/(-18) + (-2)/9. Suppose -2*a + 4*w + 42 = z, w = -4*a + x + 24. Calculate the remainder when a is divided by 4.
3
Suppose 3*a - 5*g = 1408, 3*a = a + 4*g + 936. What is the remainder when a is divided by 96?
92
Let g = 119 + -93. Calculate the remainder when 67 is divided by g.
15
Suppose 1028 = 5*g - 2*f, -10*g - 5*f = -12*g + 428. Calculate the remainder when g is divided by 63.
15
Suppose 2*b - 21 - 25 = 0. Suppose 47 = 5*o - 3*f, 0 = -4*o + 2*f + 15 + b. What is the remainder when 17 is divided by o?
7
Suppose 30*f = 27*f + 9. Suppose -f*g = -0*o + o - 53, 2*g - 37 = -o. Calculate the remainder when g is divided by 4.
0
Let y(l) = -l**3 - l + 4. Let u be y(0). Suppose -2*a + 44 = -h, 0 = u*a + 5*h - 0*h - 74. Calculate the remainder when a is divided by 6.
3
Suppose x = 4*l + 25, x + 7*l + 20 = 2*l. Let i = -38 - -17. What is the remainder when 28/(-4)*36/i is divided by x?
2
Let j(y) = 7*y**2 + 11*y - 2*y**2 + 3 + 23 - 4*y**2. Calculate the remainder when j(-12) is divided by 11.
5
Let n(q) = 2*q**3 - 24*q**2 + 4*q - 20. Suppose b - 4 = 4. What is the remainder when n(12) is divided by b?
4
Calculate the remainder when (-7184)/(-40) - (-8)/20 is divided by 23.
19
Suppose 0 = 6*l - 867 - 9. Suppose 3*c = 49 + l. What is the remainder when c is divided by 22?
21
Suppose 361 = c + 357. Calculate the remainder when 42 is divided by c.
2
Suppose -2*d + 5*d - 87 = 0. Let w be 28/(-42) - (-8)/(-6). Let u = w + d. What is the remainder when u is divided by 10?
7
Suppose -2*z - 9 = -5*w, 0*z = -3*z + 9. Let h = 59 - 58. Calculate the remainder when w is divided by h.
0
Let b(t) = 2*t**2 - 19*t + 28. Let h be b(8). Suppose h*s - 305 = 5*l, 4*s = -s + 3*l + 365. Calculate the remainder when s is divided by 8.
6
Suppose q - 9 = -r + 9, -3*r + 5*q = -46. Suppose 11*l - 909 = 2*l. Calculate the remainder when l is divided by r.
16
Let y(g) = 4*g**2 - 3*g - 12. Calculate the remainder when 157 is divided by y(4).
37
Calculate the remainder when 41 is divided by (-873)/(-54) + (-3)/18.
9
Let j be (-59)/((12/4)/(-3)). Suppose -2*b + 4*o - 21 = -j, 4*o - 4 = 0. What is the remainder when b is divided by 6?
3
Suppose h + 0*h = 3. Suppose 0 = -3*x + q + 96, 0 = -x - 2*q - h*q + 16. What is the remainder when x is divided by 7?
3
Suppose 2*p - 127 = -0*p - 3*i, 2*p - 4*i = 120. Calculate the remainder when p is divided by 22.
18
Let h = 78 + -50. Let o = -940 + 956. What is the remainder when h is divided by o?
12
Let p(a) = 105*a + 767. What is the remainder when p(-5) is divided by 28?
18
Let x(s) = s**3 - 4 - 6 + 2*s**2 - 15*s**2 - 12*s. Let u(j) = 17*j - 105. Let o be u(7). Calculate the remainder when 35 is divided by x(o).
17
Let v(o) = o - 18. Calculate the remainder when v(52) is divided by 9.
7
Let d(m) = -5*m - 12. Let v be d(-3). Suppose -t + 88 = v*t. Calculate the remainder when t is divided by 3.
1
Let l(r) = -2*r - 12. Suppose 3*j = -4*o + 17, -2*o + 19 = 3*o + 3*j. Calculate the remainder when (242/(-55))/(o/(-10)) is divided by l(-9).
4
Let q be 2*(108/8 + -2). Let n = q - -8. What is the remainder when (n/(-3))/(3/(-9)) is divided by 11?
9
Let f(t) = -t**3 + 7*t**2 - 5*t + 4. Let g be f(6). Suppose g = 7*u - 2*u. Calculate the remainder when 11 is divided by u/5 - 297/(-45).
4
Suppose -151*p + 149*p + 16 = 0. What is the remainder when 133 is divided by p?
5
Suppose -5*t - 4 + 34 = 0. What is the remainder when t is divided by -4 + 3/((-12)/(-20))?
0
Suppose -3*i - 4*d = -42, i + 3*i = -d + 43. What is the remainder when 70 is divided by (48/20)/(1/i)?
22
Let k(w) = -w**3 + 8*w**2 + 12*w + 14. What is the remainder when 283 is divided by k(9)?
37
Suppose -2*h - 2*g = h, 3*h - 3*g = 15. Suppose 3*c + 2*c + 4*o = 40, -5*c = h*o - 30. Calculate the remainder when 10 is divided by c.
2
Let k = -30 - -42. Suppose 0*h - h + 2*u = -2, -2*h = 4*u - k. Suppose -h*o = -0*o - 40