nder when 23 is divided by k.
5
Let k(h) = h**2 - 8*h - 17. What is the remainder when k(14) is divided by 17?
16
Let r(t) = t**2 + 6*t + 5. Let c be r(-6). Suppose 3*x - 41 = -0*j + 2*j, 5*x + c*j = 35. What is the remainder when 20 is divided by x?
9
Let n(v) = -v**3 + 7*v**2 - 5*v - 4. Calculate the remainder when 31 is divided by n(3).
14
Suppose 0 = -4*k + 2*o + 46, 0 = -3*k - 5*o + 58 - 4. Calculate the remainder when 2/8 - (-453)/12 is divided by k.
12
Let q(g) = -g. Let b be q(-6). Let v = b - 2. Let y(d) = -d**3 - 2*d - 1. What is the remainder when y(-2) is divided by v?
3
Let c = -30 - -41. What is the remainder when 19 is divided by c?
8
Suppose 0*i + 1225 = 5*i. Suppose -3*o + 8*o - i = 0. Calculate the remainder when o is divided by 17.
15
Let d = 57 - 0. What is the remainder when d is divided by 30?
27
Suppose 2*g - 8*g = -126. Calculate the remainder when g is divided by 11.
10
Let r(w) = 15*w**2 - 18*w + 5. Calculate the remainder when r(3) is divided by 22.
20
Suppose 0 = 5*g - 4*j - 59 + 6, -5*j + 15 = 0. What is the remainder when 36 is divided by g?
10
Let f = 153 - 86. Calculate the remainder when f is divided by 23.
21
Let h be 2*(3 - 2) + 2. Suppose h*s - s - 60 = 0. Let l(x) = -3*x + 2. Calculate the remainder when s is divided by l(-3).
9
Suppose 0 = -3*q - 12, 3*q = -5*o + 2*o - 36. What is the remainder when (-39)/12*4*-1 is divided by -1 - 0 - o*1?
6
Let z = 4 + -1. Suppose y = -2, -5*v - 2*y - 25 = z*y. Let c = v - -6. Calculate the remainder when 4 is divided by c.
1
Let s(o) = -7*o - 5. Let x = 11 + -3. What is the remainder when s(-5) is divided by x?
6
Let z(u) = -24*u + 5. Let t(y) = -47*y + 9. Let w(j) = 4*t(j) - 7*z(j). What is the remainder when w(-2) is divided by 21?
20
Let z(f) = 8*f - 9. Calculate the remainder when z(7) is divided by 12.
11
Calculate the remainder when 50 is divided by 2 - ((-2)/1 + -9).
11
Suppose 3*q - 109 = -4*g, 3*q - 34 = -2*g + g. Calculate the remainder when g is divided by 8 - 0 - 2 - -1.
4
Suppose 5*n = -i + 2*i + 16, -65 = -5*i - 4*n. Let t = -26 + 30. Calculate the remainder when i is divided by t.
1
Suppose 0 = -9*z + z + 968. Calculate the remainder when z is divided by 31.
28
Suppose 0 = 8*b - 3*b - n - 20, -5*b - 5*n + 50 = 0. Suppose 2*i = b*z + 39, -84 = -5*i + z - 2*z. Calculate the remainder when i is divided by 9.
8
Suppose 0 = -o + 2. Suppose -5*u + o*u = -12. Suppose 112 = u*g + 8. What is the remainder when g is divided by 14?
12
Let m = 517 - 355. What is the remainder when m is divided by 15?
12
Let i(j) = 7*j - 1. Let v = -19 + 33. Let n = v - -4. Calculate the remainder when i(5) is divided by n.
16
Suppose l - 4*a = 6*l - 65, a - 80 = -5*l. What is the remainder when 40 is divided by l?
6
Suppose -r + 43 - 6 = 0. Suppose -5*h - 40 = -2*z, 2*z + 3*h = -z + 18. Calculate the remainder when r is divided by z.
7
Let b = -10 - -39. Suppose 4*g - 16 = 2*g. Calculate the remainder when b is divided by g.
5
Let i be (-4)/(-14) - (-270)/35. Let b(f) = 2*f**3 - 3*f + 3. Calculate the remainder when (-388)/(-8) + 4/i is divided by b(2).
10
Suppose -2*v = 4*x - 276, 0*x - 4*v - 78 = -x. Let i = -11 + x. What is the remainder when i is divided by 15?
14
Suppose q - 3*n = 0, 3*q + n + n = 0. Suppose -v - 4 + 18 = q. What is the remainder when (52/(-10))/((-1)/5) is divided by v?
12
Let p(i) = -4*i. Let g(s) = s. Let l(k) = 10*g(k) - 5*p(k). What is the remainder when l(1) is divided by 16?
14
Suppose 6 = 4*y - 5*f, -6*y + 2*y = -3*f - 2. Calculate the remainder when y + 4/((-16)/(-84)) is divided by 7.
6
Let j = -20 - -47. Suppose -5*z + 12 = 2. Suppose i - p = -0*i + 10, -z*i - 4*p + 20 = 0. Calculate the remainder when j is divided by i.
7
Let h(a) = -2*a**2 - 18*a + 15. Let q(z) = -20*z + 3. Let s(m) = -39*m + 6. Let g(k) = 9*q(k) - 5*s(k). What is the remainder when g(4) is divided by h(-9)?
12
Suppose -3*f - 5*v = -127, 2*f + 2*v = v + 94. Suppose 0 = 5*z - 3*z - s - 22, 4*z + 3*s - 64 = 0. What is the remainder when f is divided by z?
10
Suppose -63 = -5*d + 57. Let s = d - 20. Calculate the remainder when 0 - -7 - (-1)/(-1) is divided by s.
2
Suppose -84 = -6*p - 0*p. Let b = 9 + 18. Calculate the remainder when b is divided by p.
13
Suppose -3*h = -7*h + 472. Calculate the remainder when h is divided by 30.
28
Suppose 29 + 4 = h. Calculate the remainder when h is divided by 17.
16
Let v = -11 + 16. What is the remainder when 88 is divided by v?
3
Let v = -121 - -231. What is the remainder when v is divided by 28?
26
Let w = -6 + 8. Suppose -w*m - 2*m = -164. Calculate the remainder when m is divided by 11.
8
Let o(i) = i + 10. Let b be o(-6). Let m = 15 - b. What is the remainder when 31 is divided by m?
9
Let s = -7 + 9. Suppose a - f - 15 = 0, -3*f = -4*a + 61 + s. Calculate the remainder when a is divided by 10.
8
Suppose 70 = 5*b - 0*w + 2*w, 0 = b + 2*w - 14. What is the remainder when b is divided by 4?
2
Let a = 32 + -30. Calculate the remainder when a is divided by 32/18 - (-2)/9.
0
Suppose 2*g - 11 = -3*c, -6 = -2*c - 3*g - 2. Suppose 3*i + 4*p = c*p + 9, -p - 13 = -4*i. Let z = 4 + i. Calculate the remainder when 14 is divided by z.
6
Calculate the remainder when 1 - -3 - (-68 + 1 - -2) is divided by 35.
34
Suppose -2*r + u + 16 = -2*u, -5*r + 4*u = -54. Calculate the remainder when 55 is divided by r.
13
Suppose -3*q - b + 22 = 0, -29 - 4 = -2*q + 3*b. Let h = 8 + -3. What is the remainder when q is divided by h?
4
Let y = 81 - 27. Calculate the remainder when 215 is divided by y.
53
Suppose 4*i - 364 = -9*i. Calculate the remainder when 43 is divided by i.
15
Let b(v) = v**2 + 8*v - 7. Let u be b(5). Let p = 107 - u. What is the remainder when p is divided by 13?
10
Let f(h) be the first derivative of h**4/4 - 10*h**3/3 + 11*h**2/2 - 10*h - 6. Calculate the remainder when 14 is divided by f(9).
6
Suppose 0 = 2*v + 5*c + 9 - 33, -3*v - 2*c = -25. Suppose -m = -2*p - 20, -2*p - p = 3. What is the remainder when m is divided by v?
4
Suppose 5*u = 0, 5*b = -2*u + 5*u + 20. Suppose b*q = -q + 5. Suppose -59 + q = -4*c - 2*v, -2*v - 2 = 0. Calculate the remainder when 28 is divided by c.
13
Suppose -294 = -6*v - 15*v. Calculate the remainder when 65 is divided by v.
9
Let t(x) = -3*x - 3. Suppose -3*g + 9 - 27 = 0. Calculate the remainder when 43 is divided by t(g).
13
Let o be (0 + -288)*(-2)/3. Suppose -p + o = -4*p. Let u = p - -90. What is the remainder when u is divided by 14?
12
Let j(a) = -2*a + 26. Suppose -2*s = -8, 2*o + 5*s - 33 = 1. What is the remainder when j(0) is divided by o?
5
Suppose 4*g + 3*z = z + 76, -2*z = -2*g + 38. Calculate the remainder when g is divided by 7.
5
Let o = -14 + 15. What is the remainder when 22 is divided by o + 1/(1/4)?
2
Suppose 0*b = -s - b - 2, 3*b = 0. Let a = s + 34. Let k = 27 - 16. What is the remainder when a is divided by k?
10
What is the remainder when 39 is divided by ((-2)/5)/(2/(-40))?
7
Suppose -3*y = 5*w - 30, 0*w + w = -2*y + 13. Suppose -3*n = -3*x + n + 3, -w*n = -9. Calculate the remainder when 18 is divided by (-30)/(-12)*(-1 + x).
8
Suppose -n = -0*n - 8. Suppose -v + n = 2. Calculate the remainder when 16 is divided by v.
4
Let i be ((-1)/3)/((-1)/24). Suppose i*c - 6*c = 38. Suppose -4*f + c = 5*l - 48, 2*f - 2*l = 20. What is the remainder when f is divided by 4?
1
Suppose -2*f = 2*f - 12. Let h = 2 + 21. Suppose 4*x - 6*x - h = 5*n, -n = 5*x. What is the remainder when f is divided by x?
0
Suppose 2*x = -x + 84. What is the remainder when 80 is divided by x?
24
Let m be (-21)/28 + (-7)/(-4). Suppose 2*r + m = 29. What is the remainder when 26 is divided by r?
12
What is the remainder when 19 is divided by 26*12/40 - (-3)/15?
3
Let t = -8 - -11. Suppose -t*m + 2*m = -2, -5*i + 271 = -2*m. Calculate the remainder when i is divided by 14.
13
Suppose -11*o + 9*o + 5*z + 70 = 0, -o - 4*z + 35 = 0. Calculate the remainder when o is divided by -1 + 20 - 0/1.
16
Suppose 0 = 3*c - 127 + 16. Let b(w) = -w**3 - 5*w**2 - w - 5. Let i be b(-5). Suppose i = -3*z + 4*z - 19. What is the remainder when c is divided by z?
18
Let g be 5 + 5/(-1) + 3. Suppose -106 = -2*r - g*l, 2*r - 3*l - 54 - 28 = 0. Calculate the remainder when r is divided by 8.
7
Let f(a) = a**2 - 1. Suppose -g = -2 + 1. Let n(d) 