when 23 - (-1 - w/(-1)) is divided by k?
10
Suppose 0 = 5*b - v - 20, -2*v + 30 = 4*b - 0*b. Suppose 5*a - 32 = a. Suppose 5*s - a*s = -42. Calculate the remainder when s is divided by b.
4
What is the remainder when 3 is divided by ((-68)/(-119))/((-2)/(-7))?
1
Let q = 2 + 2. Suppose -3*n - 1 = -4*n + l, 21 = n + q*l. What is the remainder when 9 is divided by n?
4
Suppose 0 = -3*k - 2*k - 295. Let j = -35 - k. Let m(z) = z**2 - 2*z - 2. What is the remainder when j is divided by m(5)?
11
Suppose 10*j - 134 = 306. Calculate the remainder when j is divided by 23.
21
Let m(x) = -x**2 - 6*x + 3. Let y be m(-5). Suppose -y*g + 3*g - 15 = 0. What is the remainder when g/(((-18)/(-21))/(-2)) is divided by 3?
1
What is the remainder when 28/(-14) - (-54 + -1) is divided by 28?
25
Let d(f) = -f**3 - 6*f**2 + 6*f + 8. What is the remainder when 59 is divided by d(-7)?
14
Suppose -3*w + 64 = -2. What is the remainder when w is divided by 6?
4
Let j(o) = o**2 - 15*o + 16. What is the remainder when j(15) is divided by 9?
7
Let z = 31 - 26. Suppose 2*l - c - 5 = 5, -2*c = -2*l + 12. Suppose -l - z = -v. Calculate the remainder when 17 is divided by v.
8
Let k be 3/(-2) - 3/(-6). Suppose 6*r - 3*r = -72. Let w = k - r. Calculate the remainder when w is divided by 12.
11
Let c(f) = f + 2. Let i(k) = k**3 - 7*k**2 + 8*k - 5. Let p be i(6). Calculate the remainder when c(p) is divided by 4.
1
Let g(u) = u**3 - 6*u**2 + u - 2. Let w be g(6). Let x(l) = l**3 - 8*l**2 + 6*l + 8. Let b be x(7). What is the remainder when 13 is divided by 108/16 + b/w?
6
Let j(a) = 2*a**2 + 2*a - 1. Let p = 2 - 6. Calculate the remainder when j(p) is divided by 8.
7
Let r = 24 - 8. Suppose -28*k = -20*k - 248. Calculate the remainder when k is divided by r.
15
Suppose -61 = -4*q - 9. Calculate the remainder when 49 is divided by q.
10
Let q(k) = -2*k - 3. Let g be q(-8). Let d = 4 + g. What is the remainder when 50 is divided by d?
16
Suppose 2*w - 1 - 1 = 0. Calculate the remainder when ((-3)/15)/((12/(-15))/4) is divided by w.
0
Let i = -21 + 39. Let y(h) = -3*h + 15. Calculate the remainder when y(-9) is divided by (i - -3) + 2/2.
20
Let a = 82 - 48. What is the remainder when a is divided by 4?
2
Let x = -34 - -59. Calculate the remainder when 49 is divided by x.
24
Let k be (1 - 2)*(5 - 5). Suppose 24 = -k*u - 4*u. Calculate the remainder when u/36 - (-271)/6 is divided by 23.
22
Suppose 5 = -4*o - 3, 2*q + 3*o = 2. Suppose -1 = b - 20. What is the remainder when b is divided by q?
3
Let j(a) = a**2 - 7. Let h be j(-5). Calculate the remainder when (1*5)/(9/h) is divided by 6.
4
Let o(m) = -2*m**3 - m**2 - m. Let j be o(-1). Let c = -2 - j. Calculate the remainder when 86/4 - (-2)/c is divided by 11.
10
Suppose 23*c - 18 = 21*c. What is the remainder when (48/(-10))/((-2)/10) is divided by c?
6
Let w(c) = -c**3 - 8*c**2 - 9*c - 3. Suppose -5*p - 37 = 2*v, 5*p + v - 3*v + 33 = 0. What is the remainder when 31 is divided by w(p)?
9
Suppose 3*q + j = 39, 2*q = -0*q - 3*j + 33. What is the remainder when 42 is divided by q?
6
Suppose 5*l + 2*r + 48 = -95, 2*l - 4*r = -38. Let k = l + 93. What is the remainder when k is divided by 23?
20
Let y = -7 - -11. Let b be (-8)/1*-11 - 2. Suppose y*l - 46 = b. What is the remainder when l is divided by 17?
16
Suppose 3 - 1 = -p, -4*p = 5*j - 22. Calculate the remainder when 21 is divided by j.
3
Let y = 161 - 44. Calculate the remainder when y is divided by 30.
27
Suppose 5*a + 2*v - 265 = 0, 5*a = -2*v + 3*v + 280. Calculate the remainder when a is divided by 7.
6
Calculate the remainder when 1/(-6)*2*4*-51 is divided by 23.
22
Let p = -6 - -3. Let h(y) = -y**2 + 6*y + 6. Let z be h(8). Calculate the remainder when (-2 - z) + 0 + p is divided by 3.
2
Suppose 4*q + 0*q - 100 = 0. Suppose o - 49 = 4*x, 3*x = -o - x + q. Suppose o = 4*a - 11. What is the remainder when 34 is divided by a?
10
Let u be 1*4/((-8)/6). Let d = 0 + u. Let b = 14 - d. What is the remainder when b is divided by 9?
8
Let s(i) = i - 12. Let w be s(8). Let u be w/6 - (-24)/9. Suppose -3*t + 4*l = -205, 0 = -3*t + u*l - l + 202. Calculate the remainder when t is divided by 23.
21
Suppose 11*q + 16 = 15*q. Calculate the remainder when 7 is divided by q.
3
Suppose 7*n + 5 = 6*n. Let k(v) = -v**3 - 4*v**2 + 4*v - 4. Calculate the remainder when 2 is divided by k(n).
0
Let s = 11 + 8. Calculate the remainder when s is divided by (-1)/(39/10 - 4).
9
Let b(x) = -x**2 - 14*x - 22. Calculate the remainder when 3 is divided by b(-12).
1
Let z(f) = -f + 4. Let u = -7 - -7. Suppose -4*s - 47 = -3*m - 11, 3*m + s - 36 = u. What is the remainder when m is divided by z(-3)?
5
Suppose 61 + 23 = 7*s. Calculate the remainder when 58 is divided by s.
10
Let s(q) = 14*q**2 - 2. Let z be s(2). Suppose a + a = 4*i + z, 5*a = -i + 179. What is the remainder when a is divided by 12?
11
Let j(w) = w**3 + 8*w**2 - 13*w - 6. Let t be 2/(-6)*(-1 - -28). Calculate the remainder when j(t) is divided by 8.
6
Let f = -10 - -19. Suppose -3*z = -1 - 5. Calculate the remainder when (-75)/6*z*-1 is divided by f.
7
Suppose 0 = -4*r + 6*r - 228. What is the remainder when r is divided by 29?
27
Suppose 4*i + 10 = 58. Suppose -3*u - 3*j = -14 - 7, u - i = -2*j. Suppose -u*k + 4*k = 50. What is the remainder when k is divided by 13?
12
Let z(x) = 14*x - 1. Calculate the remainder when 37 is divided by z(1).
11
Suppose -10 = -s + 3*v + 3, 3*v + 77 = 5*s. What is the remainder when 62 is divided by s?
14
Let u(c) = c**2 + 11*c - 23. Calculate the remainder when u(8) is divided by 44.
41
Suppose -4*d + 504 = -2*z, 3*z = 4*d + 2*z - 502. What is the remainder when d is divided by 32?
29
Suppose 4*g - 22 = 38. What is the remainder when 43 is divided by g?
13
Let f = -454 + 662. Suppose 3*q = 3*p - 171, 4*p + 3*q - 20 = f. Calculate the remainder when p is divided by 12.
9
Suppose 59 = -4*z + 279. What is the remainder when z is divided by 14?
13
Suppose 2*n + 2*n - 4 = 0, -3*s + 67 = 4*n. Calculate the remainder when 60 is divided by s.
18
Suppose -5*q = -2*q - 69. Calculate the remainder when q is divided by 13.
10
Let c(f) = f**2 + 5*f + 4. Suppose 116 = 4*a - 0*a. Suppose -3*y - 17 = 4*d - 3*d, 4*y - 5*d + a = 0. Calculate the remainder when c(y) is divided by 6.
4
Let b = 12 - 7. Let k be 2/(-6) + b/15. Suppose -2*p + k*a + 19 = a, 2*p = a + 9. Calculate the remainder when 18 is divided by p.
4
Let x be 5 + (0/1)/1. Let k(c) = 4*c**2 - 2*c. Calculate the remainder when 4/20 - (-169)/x is divided by k(2).
10
Let b = -133 - -222. Suppose 5*l = 9 - b. Let t = -10 - l. What is the remainder when 11 is divided by t?
5
Let s(z) be the first derivative of -z**4/4 - 8*z**3/3 - z**2 + 8*z + 5. What is the remainder when s(-8) is divided by 13?
11
Suppose -k = -2*k + 4. What is the remainder when ((-480)/(-45))/((-2)/(-3)) is divided by (2/(-2) - -3) + k?
4
Let b(y) = -5*y + 4. What is the remainder when b(-13) is divided by ((-8)/12)/(2/(-72))?
21
Calculate the remainder when (-5)/((7 - 4)/(-21)) is divided by 7.
0
Let c(w) = 16*w + 6. Calculate the remainder when 62 is divided by c(1).
18
Suppose 10*u - 127 = 383. What is the remainder when u is divided by 14?
9
Let w(r) be the first derivative of r**2/2 + 3*r - 1. Let y be w(0). Suppose y*c - 4*c = -17. What is the remainder when c is divided by 9?
8
Suppose 294 + 31 = 5*w. Let v(s) = 33*s**2 + s + 1. Let y be v(-1). Let x = y - 11. Calculate the remainder when w is divided by x.
21
Calculate the remainder when 15 is divided by -3 - (-92)/8 - 2/4.
7
Let d be (-3)/(-3 - (-2)/1). Suppose -32 = -d*m - m. Let w = -6 - -9. What is the remainder when m is divided by w?
2
Let h = 76 + -49. What is the remainder when h is divided by 10?
7
Let b(v) = -8*v. Let z be b(1). Let j = 13 + z. Calculate the remainder when 4/(-16) - (-29)/4 is divided by j.
2
Let i = 222 - 113. What is the remainder when i is divided by 28?
25
Suppose 2*d = 6*d + 240. Calculate the remainder when (-2 - (-10)/4)*58 is divided by -9*(d/(-9))/(-4).
14
Suppose 3*o + 1 = -x + o, 4*x - 5*o = -4. Let q = 5 + -4. Calculate the remainder when q is divided by (x + 2/4)*-2.
0
Let u = -38 + 53. Let n(q) = -q**2 - 7*q. Calculate the remainder when u is divided by n(-6).
3
Let p(o) = -6*o**3 + 6*o**2 + 4*o